%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW292+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n032.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 18:06:39 EDT 2024 % Result : Theorem 192.26s 192.33s % Output : CNFRefutation 192.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.09 % Problem : SWW292+1 : TPTP v8.2.0. Released v5.2.0. % 0.05/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.28 % Computer : n032.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 300 % 0.08/0.28 % DateTime : Wed Jun 19 07:59:53 EDT 2024 % 0.08/0.28 % CPUTime : % 0.13/0.51 start to proof:theBenchmark % 191.92/192.21 %------------------------------------------- % 191.92/192.21 % File :CSE---1.7 % 191.92/192.21 % Problem :theBenchmark % 191.92/192.21 % Transform :cnf % 191.92/192.21 % Format :tptp:raw % 191.92/192.21 % Command :java -jar mcs_scs.jar %d %s % 191.92/192.21 % 191.92/192.21 % Result :Theorem 172.220000s % 191.92/192.21 % Output :CNFRefutation 172.220000s % 191.92/192.21 %------------------------------------------- % 191.92/192.22 %------------------------------------------------------------------------------ % 191.92/192.22 % File : SWW292+1 : TPTP v8.2.0. Released v5.2.0. % 191.92/192.22 % Domain : Software Verification % 191.92/192.22 % Problem : Hoare's Logic with Procedures 434693, 5000 axioms selected % 191.92/192.22 % Version : Especial. % 191.92/192.22 % English : % 191.92/192.22 % 191.92/192.22 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 191.92/192.22 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 191.92/192.22 % Source : [Bla11] % 191.92/192.22 % Names : hoare_434693.5000.p [Bla11] % 191.92/192.22 % 191.92/192.22 % Status : ContradictoryAxioms % 191.92/192.22 % Rating : 0.86 v8.2.0, 0.78 v8.1.0, 0.83 v7.5.0, 0.84 v7.4.0, 0.93 v7.3.0, 0.90 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, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.3.0, 1.00 v5.2.0 % 191.92/192.22 % Syntax : Number of formulae : 5222 (1683 unt; 0 def) % 191.92/192.22 % Number of atoms : 12697 (4400 equ) % 191.92/192.22 % Maximal formula atoms : 13 ( 2 avg) % 191.92/192.22 % Number of connectives : 8487 (1012 ~; 149 |; 731 &) % 191.92/192.22 % ( 895 <=>;5700 =>; 0 <=; 0 <~>) % 191.92/192.22 % Maximal formula depth : 22 ( 6 avg) % 191.92/192.22 % Maximal term depth : 19 ( 2 avg) % 191.92/192.22 % Number of predicates : 153 ( 152 usr; 0 prp; 1-8 aty) % 191.92/192.22 % Number of functors : 352 ( 352 usr; 56 con; 0-10 aty) % 191.92/192.22 % Number of variables : 16956 (16793 !; 163 ?) % 191.92/192.22 % SPC : FOF_CAX_RFO_SEQ % 191.92/192.22 % 191.92/192.22 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 191.92/192.22 % 2011-03-01 11:24:12 % 191.92/192.22 %------------------------------------------------------------------------------ % 191.92/192.22 %----Relevant facts (4981) % 191.92/192.22 fof(fact_ext,axiom, % 191.92/192.22 ! [V_g_2,V_f_2] : % 191.92/192.22 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 191.92/192.22 => V_f_2 = V_g_2 ) ). % 191.92/192.22 % 191.92/192.22 fof(fact_triple_Osimps_I2_J,axiom, % 191.92/192.22 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,c_Hoare__Mirabelle_Otriple_Otriple(T_c,V_fun1_2,V_com_2,V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 191.92/192.22 % 191.92/192.22 fof(fact_triple_Oinject,axiom, % 191.92/192.22 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 191.92/192.22 ( c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2) = c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_H_2,V_com_H_2,V_fun2_H_2) % 191.92/192.22 <=> ( V_fun1_2 = V_fun1_H_2 % 191.92/192.22 & V_com_2 = V_com_H_2 % 191.92/192.22 & V_fun2_2 = V_fun2_H_2 ) ) ). % 191.92/192.22 % 191.92/192.22 fof(fact_triple__valid__def,axiom, % 191.92/192.22 ! [V_t_2,V_na_2,T_b] : % 191.92/192.22 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_na_2,V_t_2) % 191.92/192.22 <=> 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_t_2)) ) ). % 191.92/192.22 % 191.92/192.22 fof(fact_triple_Orecs,axiom, % 191.92/192.22 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,c_Hoare__Mirabelle_Otriple_Otriple(T_c,V_fun1_2,V_com_2,V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_triple_Oexhaust,axiom, % 191.92/192.23 ! [T_b,V_y_2] : % 191.92/192.23 ~ ! [B_fun1,B_com,B_fun2] : V_y_2 != c_Hoare__Mirabelle_Otriple_Otriple(T_b,B_fun1,B_com,B_fun2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_peek__and__def,axiom, % 191.92/192.23 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2)) % 191.92/192.23 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2)) % 191.92/192.23 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_fun__rel__def,axiom, % 191.92/192.23 ! [V_g_2,V_f_2,V_R2_2,V_R1_2,T_e,T_d,T_c,T_b] : % 191.92/192.23 ( 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)) % 191.92/192.23 <=> ! [B_x,B_y] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(V_R1_2,B_x),B_y)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_triple_Osize_I1_J,axiom, % 191.92/192.23 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_triple_Osize_I2_J,axiom, % 191.92/192.23 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_OSkip,axiom, % 191.92/192.23 ! [V_n,V_s] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_s)) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln__elim__cases_I1_J,axiom, % 191.92/192.23 ! [V_t,V_n,V_s] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_t)) % 191.92/192.23 => V_t = V_s ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_OSemi,axiom, % 191.92/192.23 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0),V_s0),V_n),V_s1)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s1),V_n),V_s2)) % 191.92/192.23 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_n),V_s2)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_OIfFalse,axiom, % 191.92/192.23 ! [V_c0_2,V_s1_2,V_na_2,V_c1_2,V_s_2,V_b_2] : % 191.92/192.23 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_na_2),V_s1_2)) % 191.92/192.23 => 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)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_OIfTrue,axiom, % 191.92/192.23 ! [V_c1_2,V_s1_2,V_na_2,V_c0_2,V_s_2,V_b_2] : % 191.92/192.23 ( hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0_2),V_s_2),V_na_2),V_s1_2)) % 191.92/192.23 => 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)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln__elim__cases_I5_J,axiom, % 191.92/192.23 ! [V_t_2,V_na_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 191.92/192.23 ( 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_t_2)) % 191.92/192.23 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.23 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_na_2),V_t_2)) ) % 191.92/192.23 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.23 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2_2),V_s_2),V_na_2),V_t_2)) ) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_fun__rel__eq,axiom, % 191.92/192.23 ! [T_c,T_b] : c_Quotient_Ofun__rel(T_b,T_b,T_c,T_c,c_fequal,c_fequal) = c_fequal ). % 191.92/192.23 % 191.92/192.23 fof(fact_let__rsp,axiom, % 191.92/192.23 ! [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))) ). % 191.92/192.23 % 191.92/192.23 fof(fact_apply__rsp_H,axiom, % 191.92/192.23 ! [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] : % 191.92/192.23 ( 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)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R1_2,V_x_2),V_y_2)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_y_2))) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_fun__relE,axiom, % 191.92/192.23 ! [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] : % 191.92/192.23 ( 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)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R1_2,V_x_2),V_y_2)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_y_2))) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_Oequations_I6_J,axiom, % 191.92/192.23 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 191.92/192.23 ( 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)) % 191.92/192.23 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.23 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) % 191.92/192.23 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.23 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_Oequations_I5_J,axiom, % 191.92/192.23 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 191.92/192.23 ( 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)) % 191.92/192.23 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.23 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) % 191.92/192.23 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.23 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_Oequations_I4_J,axiom, % 191.92/192.23 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 191.92/192.23 ( 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)) % 191.92/192.23 <=> ? [B_s1] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),V_a2_2),V_a3_2),B_s1)) % 191.92/192.23 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a5_2),B_s1),V_a3_2),V_a6_2)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_Oequations_I1_J,axiom, % 191.92/192.23 ! [V_a2,V_a1] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_a1),V_a2),V_a1)) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I12_J,axiom, % 191.92/192.23 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I13_J,axiom, % 191.92/192.23 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I14_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I15_J,axiom, % 191.92/192.23 ! [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 ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I44_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I45_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I3_J,axiom, % 191.92/192.23 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 191.92/192.23 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 191.92/192.23 <=> ( V_com1_2 = V_com1_H_2 % 191.92/192.23 & V_com2_2 = V_com2_H_2 ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I4_J,axiom, % 191.92/192.23 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 191.92/192.23 ( 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) % 191.92/192.23 <=> ( V_fun_2 = V_fun_H_2 % 191.92/192.23 & V_com1_2 = V_com1_H_2 % 191.92/192.23 & V_com2_2 = V_com2_H_2 ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln__elim__cases_I4_J,axiom, % 191.92/192.23 ! [V_t,V_n,V_s,V_c2,V_c1] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_n),V_t)) % 191.92/192.23 => ~ ! [B_s1] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s),V_n),B_s1)) % 191.92/192.23 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2),B_s1),V_n),V_t)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_zero__reorient,axiom, % 191.92/192.23 ! [V_x_2,T_b] : % 191.92/192.23 ( class_Groups_Ozero(T_b) % 191.92/192.23 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 191.92/192.23 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I1_J,axiom, % 191.92/192.23 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I9_J,axiom, % 191.92/192.23 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_if__rsp,axiom, % 191.92/192.23 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => 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))) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I8_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I2_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I7_J,axiom, % 191.92/192.23 ! [V_pname] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OBODY(V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I64_J,axiom, % 191.92/192.23 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I67_J,axiom, % 191.92/192.23 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I68_J,axiom, % 191.92/192.23 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_fun__relI,axiom, % 191.92/192.23 ! [T_e,T_d,T_c,T_b,V_g_2,V_f_2,V_R2_2,V_R1_2] : % 191.92/192.23 ( ! [B_x,B_y] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(V_R1_2,B_x),B_y)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))) ) % 191.92/192.23 => 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)) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_semigroup_Oassoc,axiom, % 191.92/192.23 ! [V_ca_2,V_b_2,V_a_2,V_f_2,T_b] : % 191.92/192.23 ( c_Groups_Osemigroup(T_b,V_f_2) % 191.92/192.23 => hAPP(hAPP(V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_b_2)),V_ca_2) = hAPP(hAPP(V_f_2,V_a_2),hAPP(hAPP(V_f_2,V_b_2),V_ca_2)) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Orecs_I1_J,axiom, % 191.92/192.23 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Orecs_I4_J,axiom, % 191.92/192.23 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com1_2)),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com2_2)) ). % 191.92/192.23 % 191.92/192.23 fof(fact_quot__rel__rsp,axiom, % 191.92/192.23 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => 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)) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I71_J,axiom, % 191.92/192.23 ! [V_fun_2,V_pname_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = hAPP(hAPP(hAPP(V_f8_2,V_vname_2),V_pname_2),V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Orecs_I8_J,axiom, % 191.92/192.23 ! [V_fun_2,V_pname_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = hAPP(hAPP(hAPP(V_f8_2,V_vname_2),V_pname_2),V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I65_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Orecs_I2_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I70_J,axiom, % 191.92/192.23 ! [V_pname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OBODY(V_pname_2)) = hAPP(V_f7_2,V_pname_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Orecs_I7_J,axiom, % 191.92/192.23 ! [V_pname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OBODY(V_pname_2)) = hAPP(V_f7_2,V_pname_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I7_J,axiom, % 191.92/192.23 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_pname_2,V_vname_2] : % 191.92/192.23 ( 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) % 191.92/192.23 <=> ( V_vname_2 = V_vname_H_2 % 191.92/192.23 & V_pname_2 = V_pname_H_2 % 191.92/192.23 & V_fun_2 = V_fun_H_2 ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I1_J,axiom, % 191.92/192.23 ! [V_fun_H_2,V_vname_H_2,V_fun_2,V_vname_2] : % 191.92/192.23 ( c_Com_Ocom_OAss(V_vname_2,V_fun_2) = c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) % 191.92/192.23 <=> ( V_vname_2 = V_vname_H_2 % 191.92/192.23 & V_fun_2 = V_fun_H_2 ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I6_J,axiom, % 191.92/192.23 ! [V_pname_H_2,V_pname_2] : % 191.92/192.23 ( c_Com_Ocom_OBODY(V_pname_2) = c_Com_Ocom_OBODY(V_pname_H_2) % 191.92/192.23 <=> V_pname_2 = V_pname_H_2 ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I33_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_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_OAss(V_vname_2,V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I63_J,axiom, % 191.92/192.23 ! [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) != c_Com_Ocom_OBODY(V_pname_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I32_J,axiom, % 191.92/192.23 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I30_J,axiom, % 191.92/192.23 ! [V_pname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I62_J,axiom, % 191.92/192.23 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_pname_2] : c_Com_Ocom_OBODY(V_pname_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I31_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_equals__rsp,axiom, % 191.92/192.23 ! [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] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_xa_2),V_xb_2)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_ya_2),V_yb_2)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_xa_2),V_ya_2)) % 191.92/192.23 <=> hBOOL(hAPP(hAPP(V_R_2,V_xb_2),V_yb_2)) ) ) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_rep__abs__rsp__left,axiom, % 191.92/192.23 ! [V_x2_2,V_x1_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_x1_2),V_x2_2)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,hAPP(V_Abs_2,V_x1_2))),V_x2_2)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__rep__abs,axiom, % 191.92/192.23 ! [V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_r_2)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,hAPP(V_Abs_2,V_r_2))),V_r_2)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_rep__abs__rsp,axiom, % 191.92/192.23 ! [V_x2_2,V_x1_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_x1_2),V_x2_2)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R_2,V_x1_2),hAPP(V_Rep_2,hAPP(V_Abs_2,V_x2_2)))) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__rel__abs,axiom, % 191.92/192.23 ! [V_s_2,V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_s_2)) % 191.92/192.23 => hAPP(V_Abs_2,V_r_2) = hAPP(V_Abs_2,V_s_2) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__rep__reflp,axiom, % 191.92/192.23 ! [V_a_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,V_a_2)),hAPP(V_Rep_2,V_a_2))) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__rel__rep,axiom, % 191.92/192.23 ! [V_b_2,V_a_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,V_a_2)),hAPP(V_Rep_2,V_b_2))) % 191.92/192.23 <=> V_a_2 = V_b_2 ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__rel,axiom, % 191.92/192.23 ! [V_s_2,V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => ( ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_r_2)) % 191.92/192.23 & hBOOL(hAPP(hAPP(V_R_2,V_s_2),V_s_2)) % 191.92/192.23 & hAPP(V_Abs_2,V_r_2) = hAPP(V_Abs_2,V_s_2) ) % 191.92/192.23 <=> hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_s_2)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__abs__rep,axiom, % 191.92/192.23 ! [V_a_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_a_2)) = V_a_2 ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__def,axiom, % 191.92/192.23 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 <=> ( ! [B_a] : hAPP(V_Abs_2,hAPP(V_Rep_2,B_a)) = B_a % 191.92/192.23 & ! [B_a] : hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,B_a)),hAPP(V_Rep_2,B_a))) % 191.92/192.23 & ! [B_r,B_s] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(V_R_2,B_r),B_s)) % 191.92/192.23 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_r),B_r)) % 191.92/192.23 & hBOOL(hAPP(hAPP(V_R_2,B_s),B_s)) % 191.92/192.23 & hAPP(V_Abs_2,B_r) = hAPP(V_Abs_2,B_s) ) ) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I15_J,axiom, % 191.92/192.23 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OBODY(V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I10_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osize_I16_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_apply__rsp,axiom, % 191.92/192.23 ! [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] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.23 => ( 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)) % 191.92/192.23 => ( hBOOL(hAPP(hAPP(V_R1_2,V_x_2),V_y_2)) % 191.92/192.23 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_y_2))) ) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I55_J,axiom, % 191.92/192.23 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I54_J,axiom, % 191.92/192.23 ! [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) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I49_J,axiom, % 191.92/192.23 ! [V_com2,V_com1,V_pname_H] : c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I48_J,axiom, % 191.92/192.23 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I18_J,axiom, % 191.92/192.23 ! [V_pname_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I19_J,axiom, % 191.92/192.23 ! [V_pname_H] : c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I26_J,axiom, % 191.92/192.23 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I27_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I57_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I56_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I24_J,axiom, % 191.92/192.23 ! [V_com2_H_2,V_com1_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I25_J,axiom, % 191.92/192.23 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I8_J,axiom, % 191.92/192.23 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I9_J,axiom, % 191.92/192.23 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I50_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I51_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I20_J,axiom, % 191.92/192.23 ! [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) ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Osimps_I21_J,axiom, % 191.92/192.23 ! [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 ). % 191.92/192.23 % 191.92/192.23 fof(fact_com_Orecs_I5_J,axiom, % 191.92/192.23 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com1_2)),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com2_2)) ). % 191.92/192.23 % 191.92/192.23 fof(fact_WTs__elim__cases_I8_J,axiom, % 191.92/192.23 ! [V_a_2,V_Pa_2,V_X_2] : % 191.92/192.23 ( c_Com_OWT(c_Com_Ocom_OCall(V_X_2,V_Pa_2,V_a_2)) % 191.92/192.23 => c_Com_OWT(c_Com_Ocom_OBODY(V_Pa_2)) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln__elim__cases_I2_J,axiom, % 191.92/192.23 ! [V_t_2,V_na_2,V_s_2,V_a_2,V_X_2] : % 191.92/192.23 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),V_na_2),V_t_2)) % 191.92/192.23 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_OAssign,axiom, % 191.92/192.23 ! [V_na_2,V_s_2,V_a_2,V_X_2] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),V_na_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)))) ). % 191.92/192.23 % 191.92/192.23 fof(fact_fun__quotient,axiom, % 191.92/192.23 ! [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] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_abs1_2,V_rep1_2) % 191.92/192.23 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_abs2_2,V_rep2_2) % 191.92/192.23 => 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)) ) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_WT_OCall,axiom, % 191.92/192.23 ! [V_a_2,V_X_2,V_pn_2] : % 191.92/192.23 ( c_Com_OWT(c_Com_Ocom_OBODY(V_pn_2)) % 191.92/192.23 => c_Com_OWT(c_Com_Ocom_OCall(V_X_2,V_pn_2,V_a_2)) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_WT_Oequations_I8_J,axiom, % 191.92/192.23 ! [V_a3_2,V_a1_2,V_a2_2] : % 191.92/192.23 ( c_Com_OWT(c_Com_Ocom_OCall(V_a2_2,V_a1_2,V_a3_2)) % 191.92/192.23 <=> c_Com_OWT(c_Com_Ocom_OBODY(V_a1_2)) ) ). % 191.92/192.23 % 191.92/192.23 fof(fact_evaln_Oequations_I2_J,axiom, % 191.92/192.23 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(V_a1_2,V_a2_2)),V_a3_2),V_a4_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2)))) ). % 191.92/192.23 % 191.92/192.23 fof(fact_Quotient__transp,axiom, % 191.92/192.23 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.23 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.23 => c_Predicate_Otransp(T_b,V_R_2) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_Quotient__symp,axiom, % 191.92/192.24 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => c_Predicate_Osymp(T_b,V_R_2) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_bex1__rel__rsp,axiom, % 191.92/192.24 ! [V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 191.92/192.24 => 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))) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_lambda__prs1,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 191.92/192.24 => 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 ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_lambda__prs,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 191.92/192.24 => 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 ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WTs__elim__cases_I5_J,axiom, % 191.92/192.24 ! [V_c2_2,V_c1_2,V_b_2] : % 191.92/192.24 ( c_Com_OWT(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)) % 191.92/192.24 => ~ ( c_Com_OWT(V_c1_2) % 191.92/192.24 => ~ c_Com_OWT(V_c2_2) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WTs__elim__cases_I4_J,axiom, % 191.92/192.24 ! [V_c2,V_c1] : % 191.92/192.24 ( c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) % 191.92/192.24 => ~ ( c_Com_OWT(V_c1) % 191.92/192.24 => ~ c_Com_OWT(V_c2) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_let__prs,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 191.92/192.24 => 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) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_OIf,axiom, % 191.92/192.24 ! [V_b_2,V_c1_2,V_c0_2] : % 191.92/192.24 ( c_Com_OWT(V_c0_2) % 191.92/192.24 => ( c_Com_OWT(V_c1_2) % 191.92/192.24 => c_Com_OWT(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_Oequations_I5_J,axiom, % 191.92/192.24 ! [V_a2_2,V_a1_2,V_a3_2] : % 191.92/192.24 ( c_Com_OWT(c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2)) % 191.92/192.24 <=> ( c_Com_OWT(V_a1_2) % 191.92/192.24 & c_Com_OWT(V_a2_2) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_OAssign,axiom, % 191.92/192.24 ! [V_a_2,V_X_2] : c_Com_OWT(c_Com_Ocom_OAss(V_X_2,V_a_2)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_Oequations_I2_J,axiom, % 191.92/192.24 ! [V_a2_2,V_a1_2] : c_Com_OWT(c_Com_Ocom_OAss(V_a1_2,V_a2_2)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_OSemi,axiom, % 191.92/192.24 ! [V_c1,V_c0] : % 191.92/192.24 ( c_Com_OWT(V_c0) % 191.92/192.24 => ( c_Com_OWT(V_c1) % 191.92/192.24 => c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_Oequations_I4_J,axiom, % 191.92/192.24 ! [V_a2_2,V_a1_2] : % 191.92/192.24 ( c_Com_OWT(c_Com_Ocom_OSemi(V_a1_2,V_a2_2)) % 191.92/192.24 <=> ( c_Com_OWT(V_a1_2) % 191.92/192.24 & c_Com_OWT(V_a2_2) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_Oequations_I1_J,axiom, % 191.92/192.24 c_Com_OWT(c_Com_Ocom_OSKIP) ). % 191.92/192.24 % 191.92/192.24 fof(fact_WT_OSkip,axiom, % 191.92/192.24 c_Com_OWT(c_Com_Ocom_OSKIP) ). % 191.92/192.24 % 191.92/192.24 fof(fact_sympE,axiom, % 191.92/192.24 ! [V_y_2,V_x_2,V_r_2,T_b] : % 191.92/192.24 ( c_Predicate_Osymp(T_b,V_r_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_transpE,axiom, % 191.92/192.24 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 191.92/192.24 ( c_Predicate_Otransp(T_b,V_r_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_map__fun__apply,axiom, % 191.92/192.24 ! [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))) ). % 191.92/192.24 % 191.92/192.24 fof(fact_mem__rsp,axiom, % 191.92/192.24 ! [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))) ). % 191.92/192.24 % 191.92/192.24 fof(fact_part__equivpI,axiom, % 191.92/192.24 ! [T_b,V_R_2] : % 191.92/192.24 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 191.92/192.24 => ( c_Predicate_Osymp(T_b,V_R_2) % 191.92/192.24 => ( c_Predicate_Otransp(T_b,V_R_2) % 191.92/192.24 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_part__equivp__refl__symp__transp,axiom, % 191.92/192.24 ! [V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 191.92/192.24 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 191.92/192.24 & c_Predicate_Osymp(T_b,V_R_2) % 191.92/192.24 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_OAssign,axiom, % 191.92/192.24 ! [V_s_2,V_a_2,V_X_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)))) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc__elim__cases_I2_J,axiom, % 191.92/192.24 ! [V_t_2,V_s_2,V_a_2,V_X_2] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),V_t_2)) % 191.92/192.24 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_if__prs,axiom, % 191.92/192.24 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => 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) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_id__prs,axiom, % 191.92/192.24 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => 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) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_Oequations_I2_J,axiom, % 191.92/192.24 ! [V_a3_2,V_a2_2,V_a1_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_a1_2,V_a2_2)),V_a3_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2)))) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_OIfFalse,axiom, % 191.92/192.24 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 191.92/192.24 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2)) % 191.92/192.24 => 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)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_OIfTrue,axiom, % 191.92/192.24 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 191.92/192.24 ( hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2)) % 191.92/192.24 => 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)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc__elim__cases_I5_J,axiom, % 191.92/192.24 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2)) % 191.92/192.24 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.24 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) ) % 191.92/192.24 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.24 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_OSemi,axiom, % 191.92/192.24 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_OSkip,axiom, % 191.92/192.24 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc__elim__cases_I1_J,axiom, % 191.92/192.24 ! [V_t,V_s] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) % 191.92/192.24 => V_t = V_s ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_id__def,axiom, % 191.92/192.24 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 191.92/192.24 % 191.92/192.24 fof(fact_id__apply,axiom, % 191.92/192.24 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 191.92/192.24 % 191.92/192.24 fof(fact_part__equivp__def,axiom, % 191.92/192.24 ! [V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 191.92/192.24 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 191.92/192.24 & ! [B_x,B_y] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 191.92/192.24 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 191.92/192.24 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 191.92/192.24 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_eq__mem,axiom, % 191.92/192.24 ! [V_y_2,V_x_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 191.92/192.24 <=> V_x_2 = V_y_2 ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_pred__equals__eq,axiom, % 191.92/192.24 ! [V_S_2,V_R_2,T_b] : % 191.92/192.24 ( 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) % 191.92/192.24 <=> V_R_2 = V_S_2 ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_part__equivp__symp,axiom, % 191.92/192.24 ! [V_y_2,V_x_2,V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_part__equivp__transp,axiom, % 191.92/192.24 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_com__det,axiom, % 191.92/192.24 ! [V_u,V_t,V_s,V_c] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) % 191.92/192.24 => V_u = V_t ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evaln__evalc,axiom, % 191.92/192.24 ! [V_t,V_n,V_s,V_c] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 191.92/192.24 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_eval__eq,axiom, % 191.92/192.24 ! [V_t_2,V_s_2,V_ca_2] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),V_t_2)) % 191.92/192.24 <=> ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s_2),B_n),V_t_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_mem__prs,axiom, % 191.92/192.24 ! [V_Rep2_2,V_Abs2_2,V_R2_2,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( c_Quotient_OQuotient(tc_HOL_Obool,tc_HOL_Obool,V_R2_2,V_Abs2_2,V_Rep2_2) % 191.92/192.24 => 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) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_Oequations_I5_J,axiom, % 191.92/192.24 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 191.92/192.24 ( 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)) % 191.92/192.24 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.24 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) % 191.92/192.24 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.24 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_Oequations_I6_J,axiom, % 191.92/192.24 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 191.92/192.24 ( 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)) % 191.92/192.24 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.24 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) % 191.92/192.24 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.24 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_Oequations_I4_J,axiom, % 191.92/192.24 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2)) % 191.92/192.24 <=> ? [B_s1] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1)) % 191.92/192.24 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc_Oequations_I1_J,axiom, % 191.92/192.24 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_identity__quotient,axiom, % 191.92/192.24 ! [T_b] : c_Quotient_OQuotient(T_b,T_b,c_fequal,c_Fun_Oid(T_b),c_Fun_Oid(T_b)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_id__rsp,axiom, % 191.92/192.24 ! [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))) ). % 191.92/192.24 % 191.92/192.24 fof(fact_MGT__def,axiom, % 191.92/192.24 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate,c_fequal,V_ca_2,c_Natural_Oevalc(V_ca_2)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_equalityCE,axiom, % 191.92/192.24 ! [V_ca_2,T_b,V_B_2,V_A_2] : % 191.92/192.24 ( V_A_2 = V_B_2 % 191.92/192.24 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.24 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) % 191.92/192.24 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_map__fun_Oid,axiom, % 191.92/192.24 ! [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)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_map__fun_Oidentity,axiom, % 191.92/192.24 ! [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)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_part__equivpE,axiom, % 191.92/192.24 ! [V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 191.92/192.24 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 191.92/192.24 => ( c_Predicate_Osymp(T_b,V_R_2) % 191.92/192.24 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_ex1__prs,axiom, % 191.92/192.24 ! [V_f_2,V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 191.92/192.24 => ( 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)) % 191.92/192.24 <=> ? [B_x] : % 191.92/192.24 ( hBOOL(hAPP(V_f_2,B_x)) % 191.92/192.24 & ! [B_y] : % 191.92/192.24 ( hBOOL(hAPP(V_f_2,B_y)) % 191.92/192.24 => B_y = B_x ) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_override__on__def,axiom, % 191.92/192.24 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 191.92/192.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => 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) ) % 191.92/192.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => 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) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc__elim__cases_I4_J,axiom, % 191.92/192.24 ! [V_t,V_s,V_c2,V_c1] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t)) % 191.92/192.24 => ~ ! [B_s1] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1)) % 191.92/192.24 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_mem__def,axiom, % 191.92/192.24 ! [V_A_2,V_x_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.24 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_override__on__apply__in,axiom, % 191.92/192.24 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => 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) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_override__on__apply__notin,axiom, % 191.92/192.24 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 191.92/192.24 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => 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) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_eq__mem__trans,axiom, % 191.92/192.24 ! [V_A_2,T_b,V_b_2,V_a_2] : % 191.92/192.24 ( V_a_2 = V_b_2 % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_eqelem__imp__iff,axiom, % 191.92/192.24 ! [V_A_2,T_b,V_y_2,V_x_2] : % 191.92/192.24 ( V_x_2 = V_y_2 % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.24 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_eqset__imp__iff,axiom, % 191.92/192.24 ! [V_x_2,T_b,V_B_2,V_A_2] : % 191.92/192.24 ( V_A_2 = V_B_2 % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.24 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__prs_I2_J,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_f,T_g,V_R3_2,V_Abs3_2,V_Rep3_2) % 191.92/192.24 => 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) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_bex1__rsp,axiom, % 191.92/192.24 ! [V_g_2,V_f_2,V_R_2,T_b] : % 191.92/192.24 ( 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)) % 191.92/192.24 => ( ? [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 & hBOOL(hAPP(V_f_2,B_x)) % 191.92/192.24 & ! [B_y] : % 191.92/192.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 & hBOOL(hAPP(V_f_2,B_y)) ) % 191.92/192.24 => B_y = B_x ) ) % 191.92/192.24 <=> ? [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 & hBOOL(hAPP(V_g_2,B_x)) % 191.92/192.24 & ! [B_y] : % 191.92/192.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 & hBOOL(hAPP(V_g_2,B_y)) ) % 191.92/192.24 => B_y = B_x ) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_evalc__evaln,axiom, % 191.92/192.24 ! [V_t,V_s,V_c] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 191.92/192.24 => ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),B_n),V_t)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_quot__type_Oequivp,axiom, % 191.92/192.24 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_all__prs,axiom, % 191.92/192.24 ! [V_f_2,V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 191.92/192.24 => ( ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 => 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)) ) % 191.92/192.24 <=> ! [B_x1] : hBOOL(hAPP(V_f_2,B_x1)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_iso__tuple__update__accessor__eq__assist__idI,axiom, % 191.92/192.24 ! [T_b,V_v_2,V_f_2,V_v_H_2] : % 191.92/192.24 ( V_v_H_2 = hAPP(V_f_2,V_v_2) % 191.92/192.24 => 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) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_inv__imagep__def,axiom, % 191.92/192.24 ! [V_y_2,V_x_2,V_f_2,V_r_2,T_c,T_b] : % 191.92/192.24 ( c_Predicate_Oinv__imagep(T_b,T_c,V_r_2,V_f_2,V_x_2,V_y_2) % 191.92/192.24 <=> hBOOL(hAPP(hAPP(V_r_2,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INF2__E,axiom, % 191.92/192.24 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 191.92/192.24 ( 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_ca_2)) % 191.92/192.24 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) % 191.92/192.24 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INF2__D,axiom, % 191.92/192.24 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 191.92/192.24 ( 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_ca_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_SUP2__I,axiom, % 191.92/192.24 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) % 191.92/192.24 => 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_ca_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_K__record__comp,axiom, % 191.92/192.24 ! [V_x_2,V_f_2,V_ca_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_ca_2)),V_f_2),V_x_2) = V_ca_2 ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__eq__dest__lhs,axiom, % 191.92/192.24 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 191.92/192.24 ( hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_a_2),V_b_2) = V_ca_2 % 191.92/192.24 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_update__accessor__accessor__eqE,axiom, % 191.92/192.24 ! [V_x_2,V_v_H_2,V_f_2,V_v_2,V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.24 ( 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) % 191.92/192.24 => hAPP(V_ac_2,V_v_2) = V_x_2 ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_update__accessor__updator__eqE,axiom, % 191.92/192.24 ! [V_x_2,V_v_H_2,V_f_2,V_v_2,V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.24 ( 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) % 191.92/192.24 => hAPP(hAPP(V_upd_2,V_f_2),V_v_2) = V_v_H_2 ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_Respects__def,axiom, % 191.92/192.24 ! [V_x_2,V_R_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 191.92/192.24 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__eq__elim,axiom, % 191.92/192.24 ! [V_d_2,V_ca_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 191.92/192.24 ( 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_ca_2),V_d_2) % 191.92/192.24 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__eq__dest,axiom, % 191.92/192.24 ! [V_v_2,V_d_2,V_ca_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 191.92/192.24 ( 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_ca_2),V_d_2) % 191.92/192.24 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__apply,axiom, % 191.92/192.24 ! [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)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__assoc,axiom, % 191.92/192.24 ! [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) ). % 191.92/192.24 % 191.92/192.24 fof(fact_quot__type_Orep__inverse,axiom, % 191.92/192.24 ! [V_x_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_quot__type_Orep__inject,axiom, % 191.92/192.24 ! [V_y_2,V_x_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 191.92/192.24 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_quot__type_Oabs__inverse,axiom, % 191.92/192.24 ! [V_ca_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => ( ? [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 191.92/192.24 & V_ca_2 = hAPP(V_R_2,B_x) ) % 191.92/192.24 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_ca_2)) = V_ca_2 ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_quot__type_Ohomeier5,axiom, % 191.92/192.24 ! [V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_r_2)) % 191.92/192.24 => hAPP(V_Rep_2,hAPP(V_Abs_2,hAPP(V_R_2,V_r_2))) = hAPP(V_R_2,V_r_2) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_quot__type_Ohomeier6,axiom, % 191.92/192.24 ! [V_s_2,V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_r_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_s_2),V_s_2)) % 191.92/192.24 => ( hAPP(V_Abs_2,hAPP(V_R_2,V_r_2)) = hAPP(V_Abs_2,hAPP(V_R_2,V_s_2)) % 191.92/192.24 <=> hAPP(V_R_2,V_r_2) = hAPP(V_R_2,V_s_2) ) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_map__fun_Ocomp,axiom, % 191.92/192.24 ! [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)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__def,axiom, % 191.92/192.24 ! [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)) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__eq__id__dest,axiom, % 191.92/192.24 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 191.92/192.24 ( 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_ca_2) % 191.92/192.24 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INF2__iff,axiom, % 191.92/192.24 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 191.92/192.24 ( 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_ca_2)) % 191.92/192.24 <=> ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_SUP2__iff,axiom, % 191.92/192.24 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 191.92/192.24 ( 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_ca_2)) % 191.92/192.24 <=> ? [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.24 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_ball__rsp,axiom, % 191.92/192.24 ! [V_g_2,V_f_2,V_R_2,T_b] : % 191.92/192.24 ( 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)) % 191.92/192.24 => ( ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 => hBOOL(hAPP(V_f_2,B_x)) ) % 191.92/192.24 <=> ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 => hBOOL(hAPP(V_g_2,B_x)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_id__o,axiom, % 191.92/192.24 ! [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 ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__id,axiom, % 191.92/192.24 ! [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 ). % 191.92/192.24 % 191.92/192.24 fof(fact_in__inv__imagep,axiom, % 191.92/192.24 ! [V_y_2,V_x_2,V_f_2,V_r_2,T_c,T_b] : % 191.92/192.24 ( c_Predicate_Oinv__imagep(T_b,T_c,V_r_2,V_f_2,V_x_2,V_y_2) % 191.92/192.24 <=> hBOOL(hAPP(hAPP(V_r_2,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_map__fun__def,axiom, % 191.92/192.24 ! [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) ). % 191.92/192.24 % 191.92/192.24 fof(fact_map__fun_Ocompositionality,axiom, % 191.92/192.24 ! [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) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__rsp_I2_J,axiom, % 191.92/192.24 ! [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))) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__rsp_I1_J,axiom, % 191.92/192.24 ! [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))) ). % 191.92/192.24 % 191.92/192.24 fof(fact_in__respects,axiom, % 191.92/192.24 ! [V_R_2,V_x_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_Bex1__rel__def,axiom, % 191.92/192.24 ! [V_Pa_2,V_R_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(c_Quotient_OBex1__rel(T_b,V_R_2),V_Pa_2)) % 191.92/192.24 <=> ( ? [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.24 & ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 => ! [B_xa] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 => ( ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.24 & hBOOL(hAPP(V_Pa_2,B_xa)) ) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_abs__o__rep,axiom, % 191.92/192.24 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_c),V_Abs_2),V_Rep_2) = c_Fun_Oid(T_c) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_o__prs_I1_J,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_f,T_g,V_R3_2,V_Abs3_2,V_Rep3_2) % 191.92/192.24 => 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) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_hoare__valids__def,axiom, % 191.92/192.24 ! [V_ts_2,V_G_2,T_b] : % 191.92/192.24 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_G_2,V_ts_2) % 191.92/192.24 <=> ! [B_n] : % 191.92/192.24 ( ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_G_2)) % 191.92/192.24 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) % 191.92/192.24 => ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 191.92/192.24 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INFI__apply,axiom, % 191.92/192.24 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 191.92/192.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.24 => 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)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_SUPR__apply,axiom, % 191.92/192.24 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 191.92/192.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.24 => 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)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_quot__type_OQuotient,axiom, % 191.92/192.24 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 191.92/192.24 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => c_Quotient_OQuotient(T_b,T_c,V_R_2,c_Quotient_Oquot__type_Oabs(T_b,T_c,V_R_2,V_Abs_2),c_Quotient_Oquot__type_Orep(T_c,T_b,V_Rep_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_babs__simp,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs_2,V_Rep_2) % 191.92/192.24 => ( 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))) % 191.92/192.24 <=> 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)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_babs__rsp,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( 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)) % 191.92/192.24 => 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))) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_babs__prs,axiom, % 191.92/192.24 ! [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] : % 191.92/192.24 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 191.92/192.24 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 191.92/192.24 => 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 ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_bex1__bexeq__reg,axiom, % 191.92/192.24 ! [V_Pa_2,V_R_2,T_b] : % 191.92/192.24 ( ? [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 & hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.24 & ! [B_y] : % 191.92/192.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 191.92/192.24 => B_y = B_x ) ) % 191.92/192.24 => hBOOL(hAPP(c_Quotient_OBex1__rel(T_b,V_R_2),V_Pa_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INF__commute,axiom, % 191.92/192.24 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 191.92/192.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.24 => 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))) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_ball__reg__eqv,axiom, % 191.92/192.24 ! [V_Pa_2,V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.24 => ( ! [B_x] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.24 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.24 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_SUP__commute,axiom, % 191.92/192.24 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 191.92/192.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.24 => 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))) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INT__E,axiom, % 191.92/192.24 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 191.92/192.24 ( 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))) % 191.92/192.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 191.92/192.24 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INT__D,axiom, % 191.92/192.24 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 191.92/192.24 ( 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))) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_UN__I,axiom, % 191.92/192.24 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 191.92/192.24 => 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))) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INF1__E,axiom, % 191.92/192.24 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.24 ( 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)) % 191.92/192.24 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 191.92/192.24 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INF1__D,axiom, % 191.92/192.24 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.24 ( 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)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_SUP1__I,axiom, % 191.92/192.24 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 191.92/192.24 => 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)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_identity__equivp,axiom, % 191.92/192.24 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 191.92/192.24 % 191.92/192.24 fof(fact_equivp__def,axiom, % 191.92/192.24 ! [V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.24 <=> ! [B_x,B_y] : % 191.92/192.24 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 191.92/192.24 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_equivp__reflp,axiom, % 191.92/192.24 ! [V_x_2,V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_equivp__symp,axiom, % 191.92/192.24 ! [V_y_2,V_x_2,V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_equivp__transp,axiom, % 191.92/192.24 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 191.92/192.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 191.92/192.24 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 191.92/192.24 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 191.92/192.24 % 191.92/192.24 fof(fact_INT__iff,axiom, % 191.92/192.24 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__iff,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 <=> ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INFI__bool__eq,axiom, % 191.92/192.25 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 191.92/192.25 % 191.92/192.25 fof(fact_babs__reg__eqv,axiom, % 191.92/192.25 ! [V_Pa_2,T_c,V_R_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.25 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ball__reg__eqv__range,axiom, % 191.92/192.25 ! [V_x_2,V_Pa_2,V_R1_2,V_R2_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R2_2) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( 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)))) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,hAPP(B_x,V_x_2))) ) % 191.92/192.25 <=> ! [B_f] : hBOOL(hAPP(V_Pa_2,hAPP(B_f,V_x_2))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bex__reg__eqv__range,axiom, % 191.92/192.25 ! [V_x_2,V_Pa_2,V_R1_2,T_c,V_R2_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R2_2) % 191.92/192.25 => ( ? [B_x] : % 191.92/192.25 ( 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)))) % 191.92/192.25 & hBOOL(hAPP(V_Pa_2,hAPP(B_x,V_x_2))) ) % 191.92/192.25 <=> ? [B_f] : hBOOL(hAPP(V_Pa_2,hAPP(B_f,V_x_2))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equivp__implies__part__equivp,axiom, % 191.92/192.25 ! [V_R_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.25 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Babs__def,axiom, % 191.92/192.25 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 191.92/192.25 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equivpE,axiom, % 191.92/192.25 ! [V_R_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.25 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 191.92/192.25 => ( c_Predicate_Osymp(T_b,V_R_2) % 191.92/192.25 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equivpI,axiom, % 191.92/192.25 ! [V_R_2,T_b] : % 191.92/192.25 ( c_Predicate_Oreflp(T_b,V_R_2) % 191.92/192.25 => ( c_Predicate_Osymp(T_b,V_R_2) % 191.92/192.25 => ( c_Predicate_Otransp(T_b,V_R_2) % 191.92/192.25 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equivp__reflp__symp__transp,axiom, % 191.92/192.25 ! [V_R_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.25 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 191.92/192.25 & c_Predicate_Osymp(T_b,V_R_2) % 191.92/192.25 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ball__reg__left,axiom, % 191.92/192.25 ! [V_Pa_2,V_Qa_2,V_R_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(V_Qa_2,B_x)) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.25 => hBOOL(hAPP(V_Qa_2,B_x)) ) % 191.92/192.25 => ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUP2__E,axiom, % 191.92/192.25 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 191.92/192.25 ( 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_ca_2)) % 191.92/192.25 => ~ ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INF2__I,axiom, % 191.92/192.25 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) % 191.92/192.25 => 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_ca_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Powp__def,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 191.92/192.25 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_update__accessor__cong__assist__idI,axiom, % 191.92/192.25 ! [T_b] : c_Record_Oiso__tuple__update__accessor__cong__assist(T_b,T_b,c_Fun_Oid(tc_fun(T_b,T_b)),c_Fun_Oid(T_b)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_comp__cong,axiom, % 191.92/192.25 ! [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] : % 191.92/192.25 ( 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)) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bex1__bexeq__reg__eqv,axiom, % 191.92/192.25 ! [V_Pa_2,V_R_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.25 => ( ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.25 & ! [B_y] : % 191.92/192.25 ( hBOOL(hAPP(V_Pa_2,B_y)) % 191.92/192.25 => B_y = B_x ) ) % 191.92/192.25 => hBOOL(hAPP(c_Quotient_OBex1__rel(T_b,V_R_2),V_Pa_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__surjective__proof__assist__idE,axiom, % 191.92/192.25 ! [V_y_2,V_x_2,T_b] : % 191.92/192.25 ( c_Record_Oiso__tuple__surjective__proof__assist(T_b,T_b,V_x_2,V_y_2,c_Fun_Oid(T_b)) % 191.92/192.25 => V_x_2 = V_y_2 ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__extend__simps_I9_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__extend__simps_I9_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ball__UN,axiom, % 191.92/192.25 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( 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))) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 => ! [B_xa] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__simps_I9_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__simps_I9_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__UN__flatten,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INF1__iff,axiom, % 191.92/192.25 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUP1__iff,axiom, % 191.92/192.25 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_update__accessor__noopE,axiom, % 191.92/192.25 ! [V_x_2,V_f_2,V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.25 ( c_Record_Oiso__tuple__update__accessor__cong__assist(T_b,T_c,V_upd_2,V_ac_2) % 191.92/192.25 => ( hAPP(V_f_2,hAPP(V_ac_2,V_x_2)) = hAPP(V_ac_2,V_x_2) % 191.92/192.25 => hAPP(hAPP(V_upd_2,V_f_2),V_x_2) = V_x_2 ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__surjective__proof__assist__def,axiom, % 191.92/192.25 ! [V_f_2,V_y_2,V_x_2,T_c,T_b] : % 191.92/192.25 ( c_Record_Oiso__tuple__surjective__proof__assist(T_b,T_c,V_x_2,V_y_2,V_f_2) % 191.92/192.25 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__surjective__proof__assistI,axiom, % 191.92/192.25 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 191.92/192.25 ( hAPP(V_f_2,V_x_2) = V_y_2 % 191.92/192.25 => c_Record_Oiso__tuple__surjective__proof__assist(T_c,T_b,V_x_2,V_y_2,V_f_2) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_reflpE,axiom, % 191.92/192.25 ! [V_x_2,V_r_2,T_b] : % 191.92/192.25 ( c_Predicate_Oreflp(T_b,V_r_2) % 191.92/192.25 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_update__accessor__noop__compE,axiom, % 191.92/192.25 ! [V_g_2,V_x_2,V_f_2,V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.25 ( c_Record_Oiso__tuple__update__accessor__cong__assist(T_b,T_c,V_upd_2,V_ac_2) % 191.92/192.25 => ( hAPP(V_f_2,hAPP(V_ac_2,V_x_2)) = hAPP(V_ac_2,V_x_2) % 191.92/192.25 => hAPP(hAPP(V_upd_2,hAPP(hAPP(c_Fun_Ocomp(T_b,T_b,T_b),V_g_2),V_f_2)),V_x_2) = hAPP(hAPP(V_upd_2,V_g_2),V_x_2) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__update__accessor__cong__assist__id,axiom, % 191.92/192.25 ! [V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.25 ( c_Record_Oiso__tuple__update__accessor__cong__assist(T_b,T_c,V_upd_2,V_ac_2) % 191.92/192.25 => hAPP(V_upd_2,c_Fun_Oid(T_b)) = c_Fun_Oid(T_c) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__update__accessor__eq__assist__def,axiom, % 191.92/192.25 ! [V_x_2,V_v_H_2,V_f_2,V_v_2,V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.25 ( 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) % 191.92/192.25 <=> ( hAPP(hAPP(V_upd_2,V_f_2),V_v_2) = V_v_H_2 % 191.92/192.25 & hAPP(V_ac_2,V_v_2) = V_x_2 % 191.92/192.25 & c_Record_Oiso__tuple__update__accessor__cong__assist(T_b,T_c,V_upd_2,V_ac_2) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__update__accessor__cong__from__eq,axiom, % 191.92/192.25 ! [V_x_2,V_v_H_2,V_f_2,V_v_2,V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.25 ( 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) % 191.92/192.25 => c_Record_Oiso__tuple__update__accessor__cong__assist(T_b,T_c,V_upd_2,V_ac_2) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__update__accessor__cong__assist__def,axiom, % 191.92/192.25 ! [V_ac_2,V_upd_2,T_c,T_b] : % 191.92/192.25 ( c_Record_Oiso__tuple__update__accessor__cong__assist(T_b,T_c,V_upd_2,V_ac_2) % 191.92/192.25 <=> ( ! [B_f,B_v] : hAPP(hAPP(V_upd_2,hAPP(c_COMBK(T_b,T_b),hAPP(B_f,hAPP(V_ac_2,B_v)))),B_v) = hAPP(hAPP(V_upd_2,B_f),B_v) % 191.92/192.25 & ! [B_v] : hAPP(hAPP(V_upd_2,c_Fun_Oid(T_b)),B_v) = B_v ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INF1__I,axiom, % 191.92/192.25 ! [T_c,V_b_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__I,axiom, % 191.92/192.25 ! [V_B_2,V_b_2,T_c,V_A_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,B_x))) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUP1__E,axiom, % 191.92/192.25 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 => ~ ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => ~ hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__E,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 => ~ ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Powp__Pow__eq,axiom, % 191.92/192.25 ! [V_x_2,V_A_2,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INTER__def,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__cong,axiom, % 191.92/192.25 ! [T_c,V_D_2,V_C_2,T_b,V_B_2,V_A_2] : % 191.92/192.25 ( V_A_2 = V_B_2 % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 191.92/192.25 => hAPP(V_C_2,B_x) = hAPP(V_D_2,B_x) ) % 191.92/192.25 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__constant__eq,axiom, % 191.92/192.25 ! [T_c,V_ca_2,V_f_2,V_A_2,V_a_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hAPP(V_f_2,B_x) = V_ca_2 ) % 191.92/192.25 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2) = V_ca_2 ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__cong,axiom, % 191.92/192.25 ! [T_c,V_D_2,V_C_2,T_b,V_B_2,V_A_2] : % 191.92/192.25 ( V_A_2 = V_B_2 % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 191.92/192.25 => hAPP(V_C_2,B_x) = hAPP(V_D_2,B_x) ) % 191.92/192.25 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_measure__size,axiom, % 191.92/192.25 ! [T_b] : % 191.92/192.25 ( class_Nat_Osize(T_b) % 191.92/192.25 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ball__reg__right,axiom, % 191.92/192.25 ! [T_b,V_Qa_2,V_Pa_2,V_R_2] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(V_R_2,B_x)) % 191.92/192.25 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.25 => hBOOL(hAPP(V_Qa_2,B_x)) ) ) % 191.92/192.25 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 191.92/192.25 => ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_R_2)) % 191.92/192.25 => hBOOL(hAPP(V_Qa_2,B_x)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_CollectI,axiom, % 191.92/192.25 ! [T_b,V_a_2,V_Pa_2] : % 191.92/192.25 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Collect__def,axiom, % 191.92/192.25 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 191.92/192.25 % 191.92/192.25 fof(fact_Pow__top,axiom, % 191.92/192.25 ! [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))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_is__measure_Osimps,axiom, % 191.92/192.25 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 191.92/192.25 % 191.92/192.25 fof(fact_is__measure_Oequations,axiom, % 191.92/192.25 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 191.92/192.25 % 191.92/192.25 fof(fact_is__measure_Ointros,axiom, % 191.92/192.25 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 191.92/192.25 % 191.92/192.25 fof(fact_CollectE,axiom, % 191.92/192.25 ! [V_Pa_2,V_a_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_CollectD,axiom, % 191.92/192.25 ! [V_Pa_2,V_a_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_mem__Collect__eq,axiom, % 191.92/192.25 ! [V_Pa_2,V_a_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.25 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Collect__mem__eq,axiom, % 191.92/192.25 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ). % 191.92/192.25 % 191.92/192.25 fof(fact_Pow__INT__eq,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Collect__ball__eq,axiom, % 191.92/192.25 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Collect__all__eq,axiom, % 191.92/192.25 ! [V_Pa_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_Pa_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_Pa_2))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_nat_Osize_I3_J,axiom, % 191.92/192.25 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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Osize_I3_J,axiom, % 191.92/192.25 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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_size__char,axiom, % 191.92/192.25 ! [V_c] : hAPP(c_Nat_Osize__class_Osize(tc_String_Ochar),V_c) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bool_Osize_I4_J,axiom, % 191.92/192.25 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bool_Osize_I3_J,axiom, % 191.92/192.25 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_size__literal__def,axiom, % 191.92/192.25 ! [V_s] : hAPP(c_Nat_Osize__class_Osize(tc_String_Oliteral),V_s) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_PowI,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_InterE,axiom, % 191.92/192.25 ! [V_X_2,V_C_2,V_A_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_InterD,axiom, % 191.92/192.25 ! [V_X_2,V_C_2,V_A_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equalityI,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.25 => V_A_2 = V_B_2 ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_top1I,axiom, % 191.92/192.25 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_subsetD,axiom, % 191.92/192.25 ! [V_ca_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UNIV__I,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_nat__size,axiom, % 191.92/192.25 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inter__anti__mono,axiom, % 191.92/192.25 ! [V_A_2,V_B_2,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__Inf__iff,axiom, % 191.92/192.25 ! [V_A_2,V_b_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( 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))) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equalityE,axiom, % 191.92/192.25 ! [T_b,V_B_2,V_A_2] : % 191.92/192.25 ( V_A_2 = V_B_2 % 191.92/192.25 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_subset__trans,axiom, % 191.92/192.25 ! [V_C_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equalityD2,axiom, % 191.92/192.25 ! [T_b,V_B_2,V_A_2] : % 191.92/192.25 ( V_A_2 = V_B_2 % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_equalityD1,axiom, % 191.92/192.25 ! [T_b,V_B_2,V_A_2] : % 191.92/192.25 ( V_A_2 = V_B_2 % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_set__eq__subset,axiom, % 191.92/192.25 ! [T_b,V_B_2,V_A_2] : % 191.92/192.25 ( V_A_2 = V_B_2 % 191.92/192.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_subset__refl,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_subset__UNIV,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_predicate1D,axiom, % 191.92/192.25 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 191.92/192.25 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 191.92/192.25 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_rev__predicate1D,axiom, % 191.92/192.25 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] : % 191.92/192.25 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 191.92/192.25 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUP__subset,axiom, % 191.92/192.25 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INF__subset,axiom, % 191.92/192.25 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inter__lower,axiom, % 191.92/192.25 ! [V_A_2,V_B_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inf__lower,axiom, % 191.92/192.25 ! [V_A_2,V_x_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.25 => 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)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Pow__mono,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Pow__UNIV,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inter__def,axiom, % 191.92/192.25 ! [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))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Powp__mono,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_in__mono,axiom, % 191.92/192.25 ! [V_x_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_set__rev__mp,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,V_x_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_set__mp,axiom, % 191.92/192.25 ! [V_x_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_iso__tuple__UNIV__I,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_pred__subset__eq,axiom, % 191.92/192.25 ! [V_S_2,V_R_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UNIV__def,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUP__le__iff,axiom, % 191.92/192.25 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( 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)) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__subset__iff,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 191.92/192.25 => 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)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__INF__iff,axiom, % 191.92/192.25 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( 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))) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__subset__iff,axiom, % 191.92/192.25 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b,T_c] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( 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) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.25 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Pow__def,axiom, % 191.92/192.25 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ball__UNIV,axiom, % 191.92/192.25 ! [V_Pa_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Pow__iff,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 191.92/192.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_PowD,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__SUPI,axiom, % 191.92/192.25 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INF__leI,axiom, % 191.92/192.25 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__upper,axiom, % 191.92/192.25 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUP__UN__eq,axiom, % 191.92/192.25 ! [V_x_2,V_r_2,T_c,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__lower,axiom, % 191.92/192.25 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INF__INT__eq,axiom, % 191.92/192.25 ! [V_x_2,V_r_2,T_c,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inter__eq,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__Pow__subset,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_order__refl,axiom, % 191.92/192.25 ! [V_x,T_a] : % 191.92/192.25 ( class_Orderings_Opreorder(T_a) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Osize_I1_J,axiom, % 191.92/192.25 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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_top__apply,axiom, % 191.92/192.25 ! [V_x_2,T_c,T_b] : % 191.92/192.25 ( class_Orderings_Otop(T_b) % 191.92/192.25 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_top__greatest,axiom, % 191.92/192.25 ! [V_x,T_a] : % 191.92/192.25 ( class_Orderings_Otop(T_a) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__fun__def,axiom, % 191.92/192.25 ! [V_g_2,V_f_2,T_b,T_c] : % 191.92/192.25 ( class_Orderings_Oord(T_c) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.25 <=> ! [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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__funD,axiom, % 191.92/192.25 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 191.92/192.25 ( class_Orderings_Oord(T_c) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__funE,axiom, % 191.92/192.25 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 191.92/192.25 ( class_Orderings_Oord(T_c) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inf__Sup,axiom, % 191.92/192.25 ! [V_A_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => 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))))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Sup__Inf,axiom, % 191.92/192.25 ! [V_A_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => 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)))))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Osimps_I4_J,axiom, % 191.92/192.25 ! [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 ). % 191.92/192.25 % 191.92/192.25 fof(fact_UnionI,axiom, % 191.92/192.25 ! [V_A_2,V_C_2,V_X_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__mono,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__UNIV,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__Pow__eq,axiom, % 191.92/192.25 ! [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 ). % 191.92/192.25 % 191.92/192.25 fof(fact_subset__Pow__Union,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_evaln__nonstrict,axiom, % 191.92/192.25 ! [V_m,V_t,V_n,V_s,V_c] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.25 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_m),V_t)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__extend__simps_I8_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__simps_I8_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__extend__simps_I8_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__simps_I8_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Sup__le__iff,axiom, % 191.92/192.25 ! [V_b_2,V_A_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( 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)) % 191.92/192.25 <=> ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__upper,axiom, % 191.92/192.25 ! [V_A_2,V_B_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Sup__upper,axiom, % 191.92/192.25 ! [V_A_2,V_x_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Sup__UNIV,axiom, % 191.92/192.25 ! [T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_linorder__le__cases,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Orderings_Olinorder(T_a) % 191.92/192.25 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_xt1_I6_J,axiom, % 191.92/192.25 ! [V_z,V_x,V_y,T_a] : % 191.92/192.25 ( class_Orderings_Oorder(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_xt1_I5_J,axiom, % 191.92/192.25 ! [V_x,V_y,T_a] : % 191.92/192.25 ( class_Orderings_Oorder(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.25 => V_x = V_y ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_order__trans,axiom, % 191.92/192.25 ! [V_z,V_y,V_x,T_a] : % 191.92/192.25 ( class_Orderings_Opreorder(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_order__antisym,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Orderings_Oorder(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.25 => V_x = V_y ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_xt1_I4_J,axiom, % 191.92/192.25 ! [V_c,V_a,V_b,T_a] : % 191.92/192.25 ( class_Orderings_Oorder(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 191.92/192.25 => ( V_b = V_c % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ord__le__eq__trans,axiom, % 191.92/192.25 ! [V_c,V_b,V_a,T_a] : % 191.92/192.25 ( class_Orderings_Oord(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.25 => ( V_b = V_c % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_xt1_I3_J,axiom, % 191.92/192.25 ! [V_c,V_b,V_a,T_a] : % 191.92/192.25 ( class_Orderings_Oorder(T_a) % 191.92/192.25 => ( V_a = V_b % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ord__eq__le__trans,axiom, % 191.92/192.25 ! [V_c,V_b,V_a,T_a] : % 191.92/192.25 ( class_Orderings_Oord(T_a) % 191.92/192.25 => ( V_a = V_b % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_order__antisym__conv,axiom, % 191.92/192.25 ! [V_x_2,V_y_2,T_b] : % 191.92/192.25 ( class_Orderings_Oorder(T_b) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.25 <=> V_x_2 = V_y_2 ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_order__eq__refl,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Orderings_Opreorder(T_a) % 191.92/192.25 => ( V_x = V_y % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_order__eq__iff,axiom, % 191.92/192.25 ! [V_y_2,V_x_2,T_b] : % 191.92/192.25 ( class_Orderings_Oorder(T_b) % 191.92/192.25 => ( V_x_2 = V_y_2 % 191.92/192.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_linorder__linear,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Orderings_Olinorder(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le0,axiom, % 191.92/192.25 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_InterI,axiom, % 191.92/192.25 ! [V_A_2,V_C_2,T_b] : % 191.92/192.25 ( ! [B_X] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_char__size,axiom, % 191.92/192.25 ! [V_c] : c_String_Ochar_Ochar__size(V_c) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bool_Osize_I2_J,axiom, % 191.92/192.25 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bool_Osize_I1_J,axiom, % 191.92/192.25 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__anti__mono,axiom, % 191.92/192.25 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__greatest,axiom, % 191.92/192.25 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__mono,axiom, % 191.92/192.25 ! [V_g_2,V_f_2,T_c,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_g_2))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__least,axiom, % 191.92/192.25 ! [V_C_2,V_B_2,T_c,V_A_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Orecs_I1_J,axiom, % 191.92/192.25 ! [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 ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__refl,axiom, % 191.92/192.25 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_nat__le__linear,axiom, % 191.92/192.25 ! [V_n,V_m] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_eq__imp__le,axiom, % 191.92/192.25 ! [V_n,V_m] : % 191.92/192.25 ( V_m = V_n % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__trans,axiom, % 191.92/192.25 ! [V_k,V_j,V_i] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__antisym,axiom, % 191.92/192.25 ! [V_n,V_m] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.25 => V_m = V_n ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__def,axiom, % 191.92/192.25 ! [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))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 191.92/192.25 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__0__eq,axiom, % 191.92/192.25 ! [V_na_2] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 191.92/192.25 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UnionE,axiom, % 191.92/192.25 ! [V_C_2,V_A_2,T_b] : % 191.92/192.25 ( 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))) % 191.92/192.25 => ~ ! [B_X] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 191.92/192.25 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__INFI,axiom, % 191.92/192.25 ! [V_M_2,V_u_2,V_A_2,T_b,T_c] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.25 => ( ! [B_i] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(V_M_2,B_i))) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUP__leI,axiom, % 191.92/192.25 ! [V_u_2,V_M_2,V_A_2,T_b,T_c] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.25 => ( ! [B_i] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,B_i)),V_u_2)) ) % 191.92/192.25 => 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_M_2)),V_u_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inter__greatest,axiom, % 191.92/192.25 ! [V_C_2,V_A_2,T_b] : % 191.92/192.25 ( ! [B_X] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),B_X)) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__least,axiom, % 191.92/192.25 ! [V_C_2,V_A_2,T_b] : % 191.92/192.25 ( ! [B_X] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) % 191.92/192.25 => 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)),V_C_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inf__greatest,axiom, % 191.92/192.25 ! [V_z_2,V_A_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),B_x)) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_nat_Osize_I1_J,axiom, % 191.92/192.25 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Sup__least,axiom, % 191.92/192.25 ! [V_z_2,V_A_2,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_z_2)) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_z_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Osimps_I5_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Nats__0,axiom, % 191.92/192.25 ! [T_b] : % 191.92/192.25 ( class_Rings_Osemiring__1(T_b) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Oinject,axiom, % 191.92/192.25 ! [V_code__numeral_H_2,V_code__numeral_2] : % 191.92/192.25 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 191.92/192.25 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Osimps_I3_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Osimps_I2_J,axiom, % 191.92/192.25 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 191.92/192.25 % 191.92/192.25 fof(fact_code__numeral_Orecs_I2_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inf__fun__def,axiom, % 191.92/192.25 ! [V_x_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => 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)))))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Inf__apply,axiom, % 191.92/192.25 ! [V_x_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => 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)))))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Sup__fun__def,axiom, % 191.92/192.25 ! [V_x_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => 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)))))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Sup__apply,axiom, % 191.92/192.25 ! [V_x_2,V_A_2,T_c,T_b] : % 191.92/192.25 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.25 => 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)))))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__eq,axiom, % 191.92/192.25 ! [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))))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_funpow_Osimps_I1_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__eq,axiom, % 191.92/192.25 ! [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))))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__Inter,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_subsetI,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__eq,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup1CI,axiom, % 191.92/192.25 ! [T_b,V_A_2,V_x_2,V_B_2] : % 191.92/192.25 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 191.92/192.25 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup1E,axiom, % 191.92/192.25 ! [V_x_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 191.92/192.25 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UnE,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UnCI,axiom, % 191.92/192.25 ! [V_A_2,V_B_2,V_ca_2,T_b] : % 191.92/192.25 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ball__Un,axiom, % 191.92/192.25 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( ! [B_x] : % 191.92/192.25 ( 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))) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 <=> ( ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 & ! [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 191.92/192.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bex__Un,axiom, % 191.92/192.25 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 191.92/192.25 ( ? [B_x] : % 191.92/192.25 ( 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))) % 191.92/192.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 <=> ( ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 | ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 191.92/192.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__assoc,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__left__commute,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__left__absorb,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__commute,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__absorb,axiom, % 191.92/192.25 ! [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 ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup1I2,axiom, % 191.92/192.25 ! [V_A_2,T_b,V_x_2,V_B_2] : % 191.92/192.25 ( hBOOL(hAPP(V_B_2,V_x_2)) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup1I1,axiom, % 191.92/192.25 ! [V_B_2,T_b,V_x_2,V_A_2] : % 191.92/192.25 ( hBOOL(hAPP(V_A_2,V_x_2)) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_funpow__swap1,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_SUPR__bool__eq,axiom, % 191.92/192.25 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Union__Un__distrib,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_comp__funpow,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__iff,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.25 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.25 | hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UnI1,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UnI2,axiom, % 191.92/192.25 ! [V_A_2,V_B_2,V_ca_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 191.92/192.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__mono,axiom, % 191.92/192.25 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__least,axiom, % 191.92/192.25 ! [V_B_2,V_C_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.25 => 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)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__absorb2,axiom, % 191.92/192.25 ! [V_A_2,V_B_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__absorb1,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_subset__Un__eq,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.25 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__upper2,axiom, % 191.92/192.25 ! [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))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__upper1,axiom, % 191.92/192.25 ! [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))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__UNIV__right,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__UNIV__left,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__Pow__subset,axiom, % 191.92/192.25 ! [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)))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__Un__eq,axiom, % 191.92/192.25 ! [V_x_2,V_S_2,V_R_2,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 <=> 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Collect__disj__eq,axiom, % 191.92/192.25 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__Un,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__Un__distrib,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__INT__distrib2,axiom, % 191.92/192.25 ! [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))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__extend__simps_I6_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__INT__distrib,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__extend__simps_I7_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__simps_I6_J,axiom, % 191.92/192.25 ! [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) ). % 191.92/192.25 % 191.92/192.25 fof(fact_INT__simps_I7_J,axiom, % 191.92/192.25 ! [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)) ). % 191.92/192.25 % 191.92/192.25 fof(fact_Un__def,axiom, % 191.92/192.25 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 191.92/192.25 % 191.92/192.25 fof(fact_UN__absorb,axiom, % 191.92/192.25 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bex__rsp,axiom, % 191.92/192.25 ! [V_g_2,V_f_2,V_R_2,T_b] : % 191.92/192.25 ( 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)) % 191.92/192.25 => ( ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.25 & hBOOL(hAPP(V_f_2,B_x)) ) % 191.92/192.25 <=> ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.25 & hBOOL(hAPP(V_g_2,B_x)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_funpow__code__def,axiom, % 191.92/192.25 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__fun__def,axiom, % 191.92/192.25 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 191.92/192.25 ( class_Lattices_Olattice(T_b) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__apply,axiom, % 191.92/192.25 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 191.92/192.25 ( class_Lattices_Olattice(T_b) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__top__left,axiom, % 191.92/192.25 ! [V_x,T_a] : % 191.92/192.25 ( class_Lattices_Obounded__lattice__top(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__top__right,axiom, % 191.92/192.25 ! [V_x,T_a] : % 191.92/192.25 ( class_Lattices_Obounded__lattice__top(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_inf__sup__ord_I3_J,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Olattice(T_a) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__ge1,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_inf__sup__ord_I4_J,axiom, % 191.92/192.25 ! [V_x,V_y,T_a] : % 191.92/192.25 ( class_Lattices_Olattice(T_a) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__ge2,axiom, % 191.92/192.25 ! [V_x,V_y,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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))) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__iff__sup,axiom, % 191.92/192.25 ! [V_y_2,V_x_2,T_b] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_b) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.25 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__assoc,axiom, % 191.92/192.25 ! [V_z,V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_inf__sup__aci_I6_J,axiom, % 191.92/192.25 ! [V_z,V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Olattice(T_a) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup_Oassoc,axiom, % 191.92/192.25 ! [V_c,V_b,V_a,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__left__commute,axiom, % 191.92/192.25 ! [V_z,V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_inf__sup__aci_I7_J,axiom, % 191.92/192.25 ! [V_z,V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Olattice(T_a) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup_Oleft__commute,axiom, % 191.92/192.25 ! [V_c,V_a,V_b,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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)) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__left__idem,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_inf__sup__aci_I8_J,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Olattice(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup_Oleft__idem,axiom, % 191.92/192.25 ! [V_b,V_a,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__commute,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_inf__sup__aci_I5_J,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Olattice(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup_Ocommute,axiom, % 191.92/192.25 ! [V_b,V_a,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => 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) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__idem,axiom, % 191.92/192.25 ! [V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup_Oidem,axiom, % 191.92/192.25 ! [V_a,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__supE,axiom, % 191.92/192.25 ! [V_x,V_b,V_a,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( 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)) % 191.92/192.25 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 191.92/192.25 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__mono,axiom, % 191.92/192.25 ! [V_d,V_b,V_c,V_a,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 191.92/192.25 => 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))) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__least,axiom, % 191.92/192.25 ! [V_z,V_x,V_y,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 191.92/192.25 => 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)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__supI,axiom, % 191.92/192.25 ! [V_b,V_x,V_a,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 191.92/192.25 => 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)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__absorb1,axiom, % 191.92/192.25 ! [V_x,V_y,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_sup__absorb2,axiom, % 191.92/192.25 ! [V_y,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__supI2,axiom, % 191.92/192.25 ! [V_a,V_b,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__supI1,axiom, % 191.92/192.25 ! [V_b,V_a,V_x,T_a] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 191.92/192.25 => 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))) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_le__sup__iff,axiom, % 191.92/192.25 ! [V_z_2,V_y_2,V_x_2,T_b] : % 191.92/192.25 ( class_Lattices_Osemilattice__sup(T_b) % 191.92/192.25 => ( 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)) % 191.92/192.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 191.92/192.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_ex__prs,axiom, % 191.92/192.25 ! [V_f_2,V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 191.92/192.25 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 191.92/192.25 => ( ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.25 & 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)) ) % 191.92/192.25 <=> ? [B_x1] : hBOOL(hAPP(V_f_2,B_x1)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_bex__reg__eqv,axiom, % 191.92/192.25 ! [V_Pa_2,V_R_2,T_b] : % 191.92/192.25 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.25 => ( ? [B_x] : % 191.92/192.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.25 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 191.92/192.25 % 191.92/192.25 fof(fact_fun__lub__def,axiom, % 191.92/192.26 ! [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)))))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Sup__fin_Oidem,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Union__image,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inter__Un__subset,axiom, % 191.92/192.26 ! [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)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_code__numeral_Oexhaust,axiom, % 191.92/192.26 ! [V_y] : % 191.92/192.26 ( V_y != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 191.92/192.26 => ~ ! [B_code__numeral] : V_y != c_Code__Numeral_OSuc__code__numeral(B_code__numeral) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inf__UNIV,axiom, % 191.92/192.26 ! [T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 191.92/192.26 ! [V_i_2,V_inc_2,T_b] : % 191.92/192.26 ( class_Rings_Osemiring__1(T_b) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_char_Osize_I2_J,axiom, % 191.92/192.26 ! [V_nibble2,V_nibble1] : hAPP(c_Nat_Osize__class_Osize(tc_String_Ochar),hAPP(hAPP(c_String_Ochar_OChar,V_nibble1),V_nibble2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.26 % 191.92/192.26 fof(fact_emptyE,axiom, % 191.92/192.26 ! [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)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty__subsetI,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf1E,axiom, % 191.92/192.26 ! [V_x_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 191.92/192.26 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf1I,axiom, % 191.92/192.26 ! [T_b,V_B_2,V_x_2,V_A_2] : % 191.92/192.26 ( hBOOL(hAPP(V_A_2,V_x_2)) % 191.92/192.26 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__eqI,axiom, % 191.92/192.26 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 191.92/192.26 ( V_b_2 = hAPP(V_f_2,V_x_2) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_IntI,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_IntE,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__apply,axiom, % 191.92/192.26 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( class_Lattices_Olattice(T_b) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__assoc,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__aci_I2_J,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf_Oassoc,axiom, % 191.92/192.26 ! [V_c,V_b,V_a,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__left__commute,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__aci_I3_J,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf_Oleft__commute,axiom, % 191.92/192.26 ! [V_c,V_a,V_b,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__left__idem,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__aci_I4_J,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf_Oleft__idem,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__commute,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__aci_I1_J,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf_Ocommute,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__fun__def,axiom, % 191.92/192.26 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( class_Lattices_Olattice(T_b) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__idem,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf_Oidem,axiom, % 191.92/192.26 ! [V_a,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__bot__right,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__bot(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__bot__left,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__bot(T_a) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__Pow__surj,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 191.92/192.26 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 191.92/192.26 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_bot__apply,axiom, % 191.92/192.26 ! [V_x_2,T_c,T_b] : % 191.92/192.26 ( class_Orderings_Obot(T_b) % 191.92/192.26 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_bot__fun__def,axiom, % 191.92/192.26 ! [V_x_2,T_c,T_b] : % 191.92/192.26 ( class_Orderings_Obot(T_b) % 191.92/192.26 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__assoc,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_disjoint__iff__not__equal,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 <=> ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.26 => ! [B_xa] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 191.92/192.26 => B_x != B_xa ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__is__empty,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_b,T_c] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__left__commute,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__left__absorb,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__commute,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__absorb,axiom, % 191.92/192.26 ! [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 ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__empty__right,axiom, % 191.92/192.26 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__empty,axiom, % 191.92/192.26 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty__is__image,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) % 191.92/192.26 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__empty__left,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inf__fin_Oidem,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf1D2,axiom, % 191.92/192.26 ! [V_x_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf1D1,axiom, % 191.92/192.26 ! [V_x_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_char_Oinject,axiom, % 191.92/192.26 ! [V_nibble2_H_2,V_nibble1_H_2,V_nibble2_2,V_nibble1_2] : % 191.92/192.26 ( hAPP(hAPP(c_String_Ochar_OChar,V_nibble1_2),V_nibble2_2) = hAPP(hAPP(c_String_Ochar_OChar,V_nibble1_H_2),V_nibble2_H_2) % 191.92/192.26 <=> ( V_nibble1_2 = V_nibble1_H_2 % 191.92/192.26 & V_nibble2_2 = V_nibble2_H_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__image,axiom, % 191.92/192.26 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__ident,axiom, % 191.92/192.26 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__Int__subset,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Pow__Int__eq,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Union__disjoint,axiom, % 191.92/192.26 ! [V_A_2,V_C_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Union__empty,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Sup__empty,axiom, % 191.92/192.26 ! [T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__extend__simps_I2_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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 ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__extend__simps_I1_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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 ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__iff,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 191.92/192.26 <=> ? [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.26 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_imageI,axiom, % 191.92/192.26 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_rev__image__eqI,axiom, % 191.92/192.26 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Union__Int__subset,axiom, % 191.92/192.26 ! [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)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__infE,axiom, % 191.92/192.26 ! [V_b,V_a,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( 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))) % 191.92/192.26 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__mono,axiom, % 191.92/192.26 ! [V_d,V_b,V_c,V_a,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 191.92/192.26 => 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))) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__greatest,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 191.92/192.26 => 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))) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__infI,axiom, % 191.92/192.26 ! [V_b,V_a,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 191.92/192.26 => 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))) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__absorb2,axiom, % 191.92/192.26 ! [V_x,V_y,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__absorb1,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__infI2,axiom, % 191.92/192.26 ! [V_a,V_x,V_b,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__infI1,axiom, % 191.92/192.26 ! [V_b,V_x,V_a,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__inf__iff,axiom, % 191.92/192.26 ! [V_z_2,V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_b) % 191.92/192.26 => ( 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))) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__iff__inf,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__le2,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__ord_I2_J,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__le1,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__ord_I1_J,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__mono,axiom, % 191.92/192.26 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__image__iff,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 191.92/192.26 <=> ? [B_AA] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 191.92/192.26 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__Un,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__compose,axiom, % 191.92/192.26 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : 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(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__absorb,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_sup__inf__absorb,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__distrib1,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Odistrib__lattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_sup__inf__distrib1,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Odistrib__lattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__sup__distrib2,axiom, % 191.92/192.26 ! [V_x,V_z,V_y,T_a] : % 191.92/192.26 ( class_Lattices_Odistrib__lattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_sup__inf__distrib2,axiom, % 191.92/192.26 ! [V_x,V_z,V_y,T_a] : % 191.92/192.26 ( class_Lattices_Odistrib__lattice(T_a) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__top__left,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__top(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__top__right,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__top(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__eq__top__iff,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__top(T_b) % 191.92/192.26 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 191.92/192.26 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 191.92/192.26 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__o,axiom, % 191.92/192.26 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__iff,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 & hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_IntD1,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_IntD2,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_if__image__distrib,axiom, % 191.92/192.26 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__id,axiom, % 191.92/192.26 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__mono,axiom, % 191.92/192.26 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 191.92/192.26 => 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))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__greatest,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 191.92/192.26 => 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))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__absorb1,axiom, % 191.92/192.26 ! [V_A_2,V_B_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__absorb2,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__lower2,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__lower1,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__UNIV__right,axiom, % 191.92/192.26 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__UNIV__left,axiom, % 191.92/192.26 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Int__crazy,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Int__distrib2,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Un__distrib2,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Int__distrib,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Un__distrib,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_all__not__in__conv,axiom, % 191.92/192.26 ! [V_A_2,T_b] : % 191.92/192.26 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.26 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_ex__in__conv,axiom, % 191.92/192.26 ! [V_A_2,T_b] : % 191.92/192.26 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.26 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty__iff,axiom, % 191.92/192.26 ! [V_ca_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_equals0D,axiom, % 191.92/192.26 ! [V_a_2,T_b,V_A_2] : % 191.92/192.26 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Cantors__paradox,axiom, % 191.92/192.26 ! [V_A_2,T_b] : % 191.92/192.26 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Inter__image,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__simps_I1_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__simps_I2_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Collect__empty__eq,axiom, % 191.92/192.26 ! [V_Pa_2,T_b] : % 191.92/192.26 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty__Collect__eq,axiom, % 191.92/192.26 ! [V_Pa_2,T_b] : % 191.92/192.26 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 191.92/192.26 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__empty,axiom, % 191.92/192.26 ! [V_A_2,T_b] : % 191.92/192.26 ( 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)))) % 191.92/192.26 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UNIV__not__empty,axiom, % 191.92/192.26 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_ball__empty,axiom, % 191.92/192.26 ! [V_Pa_2,T_b,B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.26 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__empty,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__empty__right,axiom, % 191.92/192.26 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__empty__left,axiom, % 191.92/192.26 ! [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 ). % 191.92/192.26 % 191.92/192.26 fof(fact_bex__empty,axiom, % 191.92/192.26 ! [V_Pa_2,T_b] : % 191.92/192.26 ~ ? [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.26 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_range__composition,axiom, % 191.92/192.26 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Pow__not__empty,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I10_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__UN,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I10_J,axiom, % 191.92/192.26 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__simps_I10_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__extend__simps_I10_J,axiom, % 191.92/192.26 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__Int__eq,axiom, % 191.92/192.26 ! [V_x_2,V_S_2,V_R_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> 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))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Collect__conj__eq,axiom, % 191.92/192.26 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__UN__distrib2,axiom, % 191.92/192.26 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I4_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__UN__distrib,axiom, % 191.92/192.26 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I5_J,axiom, % 191.92/192.26 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I4_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I5_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__Pow__mono,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_bot__empty__eq,axiom, % 191.92/192.26 ! [V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__Int__distrib,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty__def,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_bot__least,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Orderings_Obot(T_a) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_SUP__const,axiom, % 191.92/192.26 ! [V_M_2,T_b,V_A_2,T_c] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UNION__empty__conv_I2_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b,T_c] : % 191.92/192.26 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 <=> ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.26 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__constant,axiom, % 191.92/192.26 ! [V_ca_2,T_c,T_b,V_A_2] : % 191.92/192.26 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.26 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__empty2,axiom, % 191.92/192.26 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UNION__empty__conv_I1_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b] : % 191.92/192.26 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 191.92/192.26 <=> ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.26 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_bot__nat__def,axiom, % 191.92/192.26 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INF__const,axiom, % 191.92/192.26 ! [V_M_2,T_b,V_A_2,T_c] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 191.92/192.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_sup__bot__left,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__bot(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_sup__bot__right,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__bot(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_sup__eq__bot__iff,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Lattices_Obounded__lattice__bot(T_b) % 191.92/192.26 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 191.92/192.26 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 191.92/192.26 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_override__on__emptyset,axiom, % 191.92/192.26 ! [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 ). % 191.92/192.26 % 191.92/192.26 fof(fact_range__eqI,axiom, % 191.92/192.26 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 191.92/192.26 ( V_b_2 = hAPP(V_f_2,V_x_2) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_rangeI,axiom, % 191.92/192.26 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_distrib__inf__le,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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)))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_distrib__sup__le,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Olattice(T_a) % 191.92/192.26 => 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)))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_comp__surj,axiom, % 191.92/192.26 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 191.92/192.26 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_surj__id,axiom, % 191.92/192.26 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Int__assoc__eq,axiom, % 191.92/192.26 ! [V_C_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_bex__UNIV,axiom, % 191.92/192.26 ! [V_Pa_2,T_b] : % 191.92/192.26 ( ? [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.26 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.26 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inf__empty,axiom, % 191.92/192.26 ! [T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Collect,axiom, % 191.92/192.26 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__def,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Union__image__eq,axiom, % 191.92/192.26 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UNION__eq__Union__image,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Pow__bottom,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inter__empty,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__absorb,axiom, % 191.92/192.26 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inter__image__eq,axiom, % 191.92/192.26 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INTER__eq__Inter__image,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__Un,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I3_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I2_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I3_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I2_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__Union,axiom, % 191.92/192.26 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__empty,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__constant,axiom, % 191.92/192.26 ! [V_ca_2,T_c,T_b,V_A_2] : % 191.92/192.26 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.26 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inter__Un__distrib,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Union2,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Union,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inter__UNIV,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_char_Osize_I1_J,axiom, % 191.92/192.26 ! [V_nibble2,V_nibble1] : c_String_Ochar_Ochar__size(hAPP(hAPP(c_String_Ochar_OChar,V_nibble1),V_nibble2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.26 % 191.92/192.26 fof(fact_bex__reg__right,axiom, % 191.92/192.26 ! [V_Pa_2,V_Qa_2,V_R_2,T_b] : % 191.92/192.26 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 191.92/192.26 => ( ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(V_Qa_2,B_x)) % 191.92/192.26 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.26 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1)) % 191.92/192.26 => ? [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 191.92/192.26 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Collect__mono,axiom, % 191.92/192.26 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => ( ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.26 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.26 => hBOOL(hAPP(V_Qa_2,B_x)) ) ) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Qa_2)))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_part__equivp__typedef,axiom, % 191.92/192.26 ! [V_R_2,T_b] : % 191.92/192.26 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 191.92/192.26 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_char_Osimps_I2_J,axiom, % 191.92/192.26 ! [V_nibble2_2,V_nibble1_2,V_f1_2,T_b] : c_String_Ochar_Ochar__case(T_b,V_f1_2,hAPP(hAPP(c_String_Ochar_OChar,V_nibble1_2),V_nibble2_2)) = hAPP(hAPP(V_f1_2,V_nibble1_2),V_nibble2_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_char_Orecs,axiom, % 191.92/192.26 ! [V_nibble2_2,V_nibble1_2,V_f1_2,T_b] : c_String_Ochar_Ochar__rec(T_b,V_f1_2,hAPP(hAPP(c_String_Ochar_OChar,V_nibble1_2),V_nibble2_2)) = hAPP(hAPP(V_f1_2,V_nibble1_2),V_nibble2_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_rangeE,axiom, % 191.92/192.26 ! [V_f_2,T_c,V_b_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 191.92/192.26 => ~ ! [B_x] : V_b_2 != hAPP(V_f_2,B_x) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inter__subset,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( ! [B_X] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 191.92/192.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_mk__less__def,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,V_R_2,T_b] : % 191.92/192.26 ( c_Partial__Function_Omk__less(T_b,V_R_2,V_x_2,V_y_2) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 191.92/192.26 & ~ hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_imageE,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 191.92/192.26 => ~ ! [B_x] : % 191.92/192.26 ( V_b_2 = hAPP(V_f_2,B_x) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__simps_I4_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Pow__insert,axiom, % 191.92/192.26 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__unique,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 191.92/192.26 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__subsetI,axiom, % 191.92/192.26 ! [V_B_2,V_f_2,T_c,V_A_2,T_b] : % 191.92/192.26 ( ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,B_x)),V_B_2)) ) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__eq__Inter,axiom, % 191.92/192.26 ! [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))))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Pow__Compl,axiom, % 191.92/192.26 ! [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))))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Pow__empty,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__eq__Union,axiom, % 191.92/192.26 ! [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))))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__extend__simps_I4_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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 ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insertE,axiom, % 191.92/192.26 ! [V_A_2,V_b_2,V_a_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 191.92/192.26 => ( V_a_2 != V_b_2 % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insertCI,axiom, % 191.92/192.26 ! [V_b_2,V_B_2,V_a_2,T_b] : % 191.92/192.26 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 191.92/192.26 => V_a_2 = V_b_2 ) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_DiffI,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_DiffE,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_ComplI,axiom, % 191.92/192.26 ! [V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__eq,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__Diff__single,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__insert2,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__insert,axiom, % 191.92/192.26 ! [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)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__Compl,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__eq,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__Diff__eq,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__apply,axiom, % 191.92/192.26 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.26 ( class_Groups_Ominus(T_b) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__eq__compl__iff,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_b) % 191.92/192.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 191.92/192.26 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_uminus__apply,axiom, % 191.92/192.26 ! [V_x_2,V_A_2,T_c,T_b] : % 191.92/192.26 ( class_Groups_Ouminus(T_b) % 191.92/192.26 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__diff__def,axiom, % 191.92/192.26 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 191.92/192.26 ( class_Groups_Ominus(T_b) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_double__compl,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__Compl__def,axiom, % 191.92/192.26 ! [V_x_2,V_A_2,T_c,T_b] : % 191.92/192.26 ( class_Groups_Ouminus(T_b) % 191.92/192.26 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__eq__Diff__UNIV,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__Diff1,axiom, % 191.92/192.26 ! [V_A_2,V_B_2,V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__Diff__if,axiom, % 191.92/192.26 ! [V_A_2,V_B_2,V_x_2,T_b] : % 191.92/192.26 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 191.92/192.26 => 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) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__code,axiom, % 191.92/192.26 ! [V_x_2,V_A_2,V_y_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 191.92/192.26 <=> ( V_y_2 = V_x_2 % 191.92/192.26 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__idemp,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__eq__Compl__iff,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) % 191.92/192.26 <=> V_A_2 = V_B_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__commute,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__absorb2,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_double__complement,axiom, % 191.92/192.26 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__eq__diff__eq,axiom, % 191.92/192.26 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oab__group__add(T_b) % 191.92/192.26 => ( 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_ca_2),V_d_2) % 191.92/192.26 => ( V_a_2 = V_b_2 % 191.92/192.26 <=> V_ca_2 = V_d_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_neg__equal__iff__equal,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_b) % 191.92/192.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 191.92/192.26 <=> V_a_2 = V_b_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__equation__iff,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_b) % 191.92/192.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 191.92/192.26 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_equation__minus__iff,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_b) % 191.92/192.26 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 191.92/192.26 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__diff__eq,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Groups_Oab__group__add(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__minus,axiom, % 191.92/192.26 ! [V_a,T_a] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__0,axiom, % 191.92/192.26 ! [V_a,T_a] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_a) % 191.92/192.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__insert__absorb,axiom, % 191.92/192.26 ! [V_A_2,V_x_2,T_b] : % 191.92/192.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__Diff,axiom, % 191.92/192.26 ! [V_A_2,V_a_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__eq__diff__less__eq,axiom, % 191.92/192.26 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => ( 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_ca_2),V_d_2) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__0__right,axiom, % 191.92/192.26 ! [V_a,T_a] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_a) % 191.92/192.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__self,axiom, % 191.92/192.26 ! [V_a,T_a] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_a) % 191.92/192.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_eq__iff__diff__eq__0,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oab__group__add(T_b) % 191.92/192.26 => ( V_a_2 = V_b_2 % 191.92/192.26 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_right__minus__eq,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_b) % 191.92/192.26 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.26 <=> V_a_2 = V_b_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__imp__neg__le,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_neg__le__iff__le,axiom, % 191.92/192.26 ! [V_a_2,V_b_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__le__iff,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__minus__iff,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__le__compl__iff,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__mono,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__zero,axiom, % 191.92/192.26 ! [T_a] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_neg__0__equal__iff__equal,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_b) % 191.92/192.26 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 191.92/192.26 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_equal__neg__zero,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.26 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 191.92/192.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_neg__equal__0__iff__equal,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Ogroup__add(T_b) % 191.92/192.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_neg__equal__zero,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 191.92/192.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__iff,axiom, % 191.92/192.26 ! [V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 191.92/192.26 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_ComplD,axiom, % 191.92/192.26 ! [V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_ComplE,axiom, % 191.92/192.26 ! [V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__iff,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_DiffD1,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_DiffD2,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insertI1,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__iff,axiom, % 191.92/192.26 ! [V_A_2,V_b_2,V_a_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 191.92/192.26 <=> ( V_a_2 = V_b_2 % 191.92/192.26 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__ident,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 191.92/192.26 => ( 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) % 191.92/192.26 <=> V_A_2 = V_B_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insertI2,axiom, % 191.92/192.26 ! [V_b_2,V_B_2,V_a_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__absorb,axiom, % 191.92/192.26 ! [V_A_2,V_a_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.26 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty__Diff,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__empty,axiom, % 191.92/192.26 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__cancel,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__anti__mono,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__subset__Compl__iff,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty__not__insert,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__not__empty,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_doubleton__eq__iff,axiom, % 191.92/192.26 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.26 ( 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_ca_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.26 <=> ( ( V_a_2 = V_ca_2 % 191.92/192.26 & V_b_2 = V_d_2 ) % 191.92/192.26 | ( V_a_2 = V_d_2 % 191.92/192.26 & V_b_2 = V_ca_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_singleton__inject,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( 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))) % 191.92/192.26 => V_a_2 = V_b_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_double__diff,axiom, % 191.92/192.26 ! [V_C_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.26 => 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 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__mono,axiom, % 191.92/192.26 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 191.92/192.26 => 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))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__subset,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Diff,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Diff__cancel2,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Diff__cancel,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__Int2,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__Int__distrib2,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__Diff,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__Int__distrib,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__mono,axiom, % 191.92/192.26 ! [V_a_2,V_D_2,V_C_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 191.92/192.26 => 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))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__insertI2,axiom, % 191.92/192.26 ! [V_b_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => 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))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__insertI,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__insert,axiom, % 191.92/192.26 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__insert__left,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__insert__right,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__inter__insert,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__single__insert,axiom, % 191.92/192.26 ! [V_B_2,V_x_2,V_A_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => 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))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__insert__iff,axiom, % 191.92/192.26 ! [V_B_2,V_x_2,V_A_2,T_b] : % 191.92/192.26 ( 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))) % 191.92/192.26 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Collect__neg__eq,axiom, % 191.92/192.26 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__Collect,axiom, % 191.92/192.26 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I6_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I6_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__extend__simps_I5_J,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__simps_I5_J,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__iff__diff__le__0,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 191.92/192.26 <=> 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))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_neg__0__le__iff__le,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__minus__self__iff,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_neg__le__0__iff__le,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__le__self__iff,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__inf__bot,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inf__compl__bot,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__bot__eq,axiom, % 191.92/192.26 ! [T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__top__eq,axiom, % 191.92/192.26 ! [T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__inf,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__sup,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_sup__compl__top,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_compl__sup__top,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Lattices_Oboolean__algebra(T_a) % 191.92/192.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_singleton__iff,axiom, % 191.92/192.26 ! [V_a_2,V_b_2,T_b] : % 191.92/192.26 ( 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))))) % 191.92/192.26 <=> V_b_2 = V_a_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_singletonE,axiom, % 191.92/192.26 ! [V_a_2,V_b_2,T_b] : % 191.92/192.26 ( 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))))) % 191.92/192.26 => V_b_2 = V_a_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__Compl__self__eq,axiom, % 191.92/192.26 ! [V_A_2,T_b] : % 191.92/192.26 ( 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))) % 191.92/192.26 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__empty__eq,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__UNIV__eq,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__disjoint2,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__disjoint,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__insert,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => ( 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))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__subset,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 191.92/192.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__image,axiom, % 191.92/192.26 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__UNIV,axiom, % 191.92/192.26 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__insert__right,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_a_2,T_b] : % 191.92/192.26 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__insert__left,axiom, % 191.92/192.26 ! [V_B_2,V_C_2,V_a_2,T_b] : % 191.92/192.26 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__insert__right__if0,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_a_2,T_b] : % 191.92/192.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__insert__left__if0,axiom, % 191.92/192.26 ! [V_B_2,V_C_2,V_a_2,T_b] : % 191.92/192.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__insert__right__if1,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_a_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Int__insert__left__if1,axiom, % 191.92/192.26 ! [V_B_2,V_C_2,V_a_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__triv,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__disjoint,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__partition,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__partition2,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__Un,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__Int,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__diff__subset,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__singletonD,axiom, % 191.92/192.26 ! [V_x_2,V_A_2,T_b] : % 191.92/192.26 ( 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))))) % 191.92/192.26 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__partition,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__subset__conv,axiom, % 191.92/192.26 ! [V_C_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> 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))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__is__Un,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Un__Diff__Int,axiom, % 191.92/192.26 ! [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 ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__Un,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Diff__Int,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Sup__singleton,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Sup__insert,axiom, % 191.92/192.26 ! [V_A_2,V_a_2,T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inf__singleton,axiom, % 191.92/192.26 ! [V_a_2,T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inf__insert,axiom, % 191.92/192.26 ! [V_A_2,V_a_2,T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Union__insert,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inter__insert,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__eq,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_set__diff__eq,axiom, % 191.92/192.26 ! [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)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__compr__raw,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__compr,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Collect__imp__eq,axiom, % 191.92/192.26 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Collect__conv__if,axiom, % 191.92/192.26 ! [T_b,V_a_2,V_Pa_2] : % 191.92/192.26 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 191.92/192.26 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 191.92/192.26 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Collect__conv__if2,axiom, % 191.92/192.26 ! [T_b,V_a_2,V_Pa_2] : % 191.92/192.26 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 191.92/192.26 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 191.92/192.26 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_singleton__conv,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_singleton__conv2,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__insert__distrib,axiom, % 191.92/192.26 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__constant__conv,axiom, % 191.92/192.26 ! [V_ca_2,T_c,T_b,V_A_2] : % 191.92/192.26 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.26 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I1_J,axiom, % 191.92/192.26 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__singleton,axiom, % 191.92/192.26 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I1_J,axiom, % 191.92/192.26 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__def,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__insert__distrib,axiom, % 191.92/192.26 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__UN,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Compl__INT,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__insert,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__extend__simps_I7_J,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_UN__simps_I7_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__insert,axiom, % 191.92/192.26 ! [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)) ). % 191.92/192.26 % 191.92/192.26 fof(fact_disjoint__eq__subset__Compl,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 <=> 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))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_surj__Compl__image__subset,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_b,T_c] : % 191.92/192.26 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Sup__binary,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Inf__binary,axiom, % 191.92/192.26 ! [V_b_2,V_a_2,T_b] : % 191.92/192.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__constant,axiom, % 191.92/192.26 ! [V_ca_2,T_c,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__extend__simps_I3_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_INT__simps_I3_J,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 191.92/192.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_image__eq__UN,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_the__elem__eq,axiom, % 191.92/192.26 ! [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 ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__image,axiom, % 191.92/192.26 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_psubset__insert__iff,axiom, % 191.92/192.26 ! [V_B_2,V_x_2,V_A_2,T_b] : % 191.92/192.26 ( 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))) % 191.92/192.26 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 191.92/192.26 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => 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)) ) % 191.92/192.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_hoare__derivs_OIf,axiom, % 191.92/192.26 ! [V_d_2,V_Qa_2,V_ca_2,V_b_2,V_Pa_2,V_G_2,T_b] : % 191.92/192.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2),V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 191.92/192.26 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2)),V_d_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 191.92/192.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 191.92/192.26 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => ( 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) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_hoare__derivs_Oequations_I8_J,axiom, % 191.92/192.26 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_a2_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_a3_2)),V_a4_2)),c_Com_Ocom_OAss(V_a3_2,V_a4_2),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Ass,axiom, % 191.92/192.26 ! [V_a_2,V_X_2,V_Pa_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)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_Pa_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_X_2)),V_a_2)),c_Com_Ocom_OAss(V_X_2,V_a_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_insert__partition,axiom, % 191.92/192.26 ! [V_F_2,V_x_2,T_b] : % 191.92/192.26 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 191.92/192.26 => ( ! [B_x] : % 191.92/192.26 ( 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))) % 191.92/192.26 => ! [B_xa] : % 191.92/192.26 ( 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))) % 191.92/192.26 => ( B_x != B_xa % 191.92/192.26 => 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)) ) ) ) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__Un,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.26 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__triv,axiom, % 191.92/192.26 ! [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 ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__empty,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__uminus,axiom, % 191.92/192.26 ! [V_A_2,T_b] : % 191.92/192.26 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.26 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_hoare__derivs_Oinsert,axiom, % 191.92/192.26 ! [V_ts_2,V_t_2,V_G_2,T_b] : % 191.92/192.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 191.92/192.26 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) % 191.92/192.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_asm,axiom, % 191.92/192.26 ! [V_G_2,V_ts_2,T_b] : % 191.92/192.26 ( 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)) % 191.92/192.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_weaken,axiom, % 191.92/192.26 ! [V_ts_2,V_ts_H_2,V_G_2,T_b] : % 191.92/192.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_H_2) % 191.92/192.26 => ( 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)) % 191.92/192.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__def,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 <=> ! [B_x] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.26 => ! [B_xa] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 191.92/192.26 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 191.92/192.26 => B_x = B_xa ) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__idem__iff,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 191.92/192.26 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__upd,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__same,axiom, % 191.92/192.26 ! [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 ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__apply,axiom, % 191.92/192.26 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 191.92/192.26 ( ( V_z_2 = V_x_2 % 191.92/192.26 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 191.92/192.26 & ( V_z_2 != V_x_2 % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__twist,axiom, % 191.92/192.26 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_ca_2,V_a_2] : % 191.92/192.26 ( V_a_2 != V_ca_2 % 191.92/192.26 => 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_ca_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_ca_2,V_d_2),V_a_2,V_b_2) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__other,axiom, % 191.92/192.26 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 191.92/192.26 ( V_z_2 != V_x_2 % 191.92/192.26 => 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) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__idem,axiom, % 191.92/192.26 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 191.92/192.26 ( hAPP(V_f_2,V_x_2) = V_y_2 % 191.92/192.26 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_cut,axiom, % 191.92/192.26 ! [V_G_2,V_ts_2,V_G_H_2,T_b] : % 191.92/192.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 191.92/192.26 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_H_2) % 191.92/192.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_psubset__trans,axiom, % 191.92/192.26 ! [V_C_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__id2,axiom, % 191.92/192.26 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__irrefl,axiom, % 191.92/192.26 ! [V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__neq__iff,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Olinorder(T_b) % 191.92/192.26 => ( V_x_2 != V_y_2 % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_not__less__iff__gr__or__eq,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Olinorder(T_b) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 191.92/192.26 | V_x_2 = V_y_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__less__linear,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Olinorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 | V_x = V_y % 191.92/192.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__antisym__conv3,axiom, % 191.92/192.26 ! [V_x_2,V_y_2,T_b] : % 191.92/192.26 ( class_Orderings_Olinorder(T_b) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> V_x_2 = V_y_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__neqE,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Olinorder(T_a) % 191.92/192.26 => ( V_x != V_y % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_less__imp__neq,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => V_x != V_y ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__not__sym,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__imp__not__less,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__imp__not__eq,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => V_x != V_y ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__imp__not__eq2,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => V_y != V_x ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__asym_H,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I9_J,axiom, % 191.92/192.26 ! [V_a,V_b,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_ord__eq__less__trans,axiom, % 191.92/192.26 ! [V_c,V_b,V_a,T_a] : % 191.92/192.26 ( class_Orderings_Oord(T_a) % 191.92/192.26 => ( V_a = V_b % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I1_J,axiom, % 191.92/192.26 ! [V_c,V_b,V_a,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( V_a = V_b % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_ord__less__eq__trans,axiom, % 191.92/192.26 ! [V_c,V_b,V_a,T_a] : % 191.92/192.26 ( class_Orderings_Oord(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.26 => ( V_b = V_c % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I2_J,axiom, % 191.92/192.26 ! [V_c,V_a,V_b,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 191.92/192.26 => ( V_b = V_c % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__trans,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I10_J,axiom, % 191.92/192.26 ! [V_z,V_x,V_y,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__asym,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__cases,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Olinorder(T_a) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => ( V_x != V_y % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__fun,axiom, % 191.92/192.26 ! [T_d,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.26 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__strict__subset,axiom, % 191.92/192.26 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_empty,axiom, % 191.92/192.26 ! [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))) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fun__upd__def,axiom, % 191.92/192.26 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 191.92/192.26 ( ( V_x_2 = V_a_2 % 191.92/192.26 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 191.92/192.26 & ( V_x_2 != V_a_2 % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__onD,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 191.92/192.26 => V_x_2 = V_y_2 ) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__iff,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 191.92/192.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 191.92/192.26 <=> V_x_2 = V_y_2 ) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__contraD,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 => ( V_x_2 != V_y_2 % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 191.92/192.26 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_subset__inj__on,axiom, % 191.92/192.26 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__eq,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 191.92/192.26 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_injD,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 191.92/192.26 => V_x_2 = V_y_2 ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__fun__updI,axiom, % 191.92/192.26 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__Int,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.26 => 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)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__imageI2,axiom, % 191.92/192.26 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 191.92/192.26 ( 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) % 191.92/192.26 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__diff,axiom, % 191.92/192.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.26 => 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)) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_inj__on__id,axiom, % 191.92/192.26 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 191.92/192.26 % 191.92/192.26 fof(fact_less__fun__def,axiom, % 191.92/192.26 ! [V_g_2,V_f_2,T_b,T_c] : % 191.92/192.26 ( class_Orderings_Oord(T_c) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.26 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diffs0__imp__equal,axiom, % 191.92/192.26 ! [V_n,V_m] : % 191.92/192.26 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.26 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.26 => V_m = V_n ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__self__eq__0,axiom, % 191.92/192.26 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.26 % 191.92/192.26 fof(fact_minus__nat_Odiff__0,axiom, % 191.92/192.26 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__0__eq__0,axiom, % 191.92/192.26 ! [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) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I8_J,axiom, % 191.92/192.26 ! [V_z,V_x,V_y,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__le__less__trans,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I7_J,axiom, % 191.92/192.26 ! [V_z,V_x,V_y,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__le__trans,axiom, % 191.92/192.26 ! [V_z,V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I11_J,axiom, % 191.92/192.26 ! [V_a,V_b,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 191.92/192.26 => ( V_a != V_b % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__le__neq__trans,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.26 => ( V_a != V_b % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__le__imp__less__or__eq,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 | V_x = V_y ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__antisym__conv2,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Olinorder(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> V_x_2 = V_y_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__imp__le,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Opreorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_leD,axiom, % 191.92/192.26 ! [V_x,V_y,T_a] : % 191.92/192.26 ( class_Orderings_Olinorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_xt1_I12_J,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( V_a != V_b % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__neq__le__trans,axiom, % 191.92/192.26 ! [V_b,V_a,T_a] : % 191.92/192.26 ( class_Orderings_Oorder(T_a) % 191.92/192.26 => ( V_a != V_b % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__antisym__conv1,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Olinorder(T_b) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> V_x_2 = V_y_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_not__leE,axiom, % 191.92/192.26 ! [V_x,V_y,T_a] : % 191.92/192.26 ( class_Orderings_Olinorder(T_a) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_leI,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Olinorder(T_a) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__le__less,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Oorder(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 | V_x_2 = V_y_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_less__le__not__le,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Opreorder(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_order__less__le,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Oorder(T_b) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 & V_x_2 != V_y_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__le__less__linear,axiom, % 191.92/192.26 ! [V_y,V_x,T_a] : % 191.92/192.26 ( class_Orderings_Olinorder(T_a) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__not__le,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Olinorder(T_b) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_linorder__not__less,axiom, % 191.92/192.26 ! [V_y_2,V_x_2,T_b] : % 191.92/192.26 ( class_Orderings_Olinorder(T_b) % 191.92/192.26 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_psubsetD,axiom, % 191.92/192.26 ! [V_ca_2,V_B_2,V_A_2,T_b] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_le__diff__iff,axiom, % 191.92/192.26 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 191.92/192.26 => ( 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))) % 191.92/192.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_Nat_Odiff__diff__eq,axiom, % 191.92/192.26 ! [V_n,V_m,V_k] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 191.92/192.26 => 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) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_eq__diff__iff,axiom, % 191.92/192.26 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 191.92/192.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 191.92/192.26 => ( 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) % 191.92/192.26 <=> V_m_2 = V_na_2 ) ) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__diff__cancel,axiom, % 191.92/192.26 ! [V_n,V_i] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 191.92/192.26 => 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 ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__le__mono,axiom, % 191.92/192.26 ! [V_l,V_n,V_m] : % 191.92/192.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.26 => 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))) ) ). % 191.92/192.26 % 191.92/192.26 fof(fact_diff__le__mono2,axiom, % 191.92/192.27 ! [V_l,V_n,V_m] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__le__self,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_not__psubset__empty,axiom, % 191.92/192.27 ! [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)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__eq__diff__less,axiom, % 191.92/192.27 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.27 => ( 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_ca_2),V_d_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__supI2,axiom, % 191.92/192.27 ! [V_a,V_b,V_x,T_a] : % 191.92/192.27 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__supI1,axiom, % 191.92/192.27 ! [V_b,V_a,V_x,T_a] : % 191.92/192.27 ( class_Lattices_Osemilattice__sup(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__infI1,axiom, % 191.92/192.27 ! [V_b,V_x,V_a,T_a] : % 191.92/192.27 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__infI2,axiom, % 191.92/192.27 ! [V_a,V_x,V_b,T_a] : % 191.92/192.27 ( class_Lattices_Osemilattice__inf(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__minus__iff,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_minus__less__iff,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_neg__less__iff__less,axiom, % 191.92/192.27 ! [V_a_2,V_b_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_psubset__eq,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 & V_A_2 != V_B_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_subset__iff__psubset__eq,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 | V_A_2 = V_B_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_psubset__imp__subset,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_psubset__subset__trans,axiom, % 191.92/192.27 ! [V_C_2,V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_subset__psubset__trans,axiom, % 191.92/192.27 ! [V_C_2,V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__Sup__iff,axiom, % 191.92/192.27 ! [V_S_2,V_a_2,T_b] : % 191.92/192.27 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.27 & class_Orderings_Olinorder(T_b) ) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 191.92/192.27 <=> ? [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__less__iff,axiom, % 191.92/192.27 ! [V_a_2,V_S_2,T_b] : % 191.92/192.27 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.27 & class_Orderings_Olinorder(T_b) ) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 191.92/192.27 <=> ? [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__SUP__iff,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 191.92/192.27 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.27 & class_Orderings_Olinorder(T_b) ) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> ? [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__upd__comp,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_INF__less__iff,axiom, % 191.92/192.27 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 191.92/192.27 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.27 & class_Orderings_Olinorder(T_b) ) % 191.92/192.27 => ( 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)) % 191.92/192.27 <=> ? [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__image__eq__iff,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 191.92/192.27 <=> V_A_2 = V_B_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__Un__image__eq__iff,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( 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)) % 191.92/192.27 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 191.92/192.27 <=> V_A_2 = V_B_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__comp,axiom, % 191.92/192.27 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__imageI,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 191.92/192.27 ( 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) % 191.92/192.27 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comp__inj__on,axiom, % 191.92/192.27 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comp__inj__on__iff,axiom, % 191.92/192.27 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 191.92/192.27 <=> 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__iff__diff__less__0,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 191.92/192.27 <=> 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__is__0__eq,axiom, % 191.92/192.27 ! [V_na_2,V_m_2] : % 191.92/192.27 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__is__0__eq_H,axiom, % 191.92/192.27 ! [V_n,V_m] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_neg__0__less__iff__less,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_neg__less__0__iff__less,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_neg__less__nonneg,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__image__mem__iff,axiom, % 191.92/192.27 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_range__ex1__eq,axiom, % 191.92/192.27 ! [V_b_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 191.92/192.27 <=> ? [B_x] : % 191.92/192.27 ( V_b_2 = hAPP(V_f_2,B_x) % 191.92/192.27 & ! [B_y] : % 191.92/192.27 ( V_b_2 = hAPP(V_f_2,B_y) % 191.92/192.27 => B_y = B_x ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__image__subset__iff,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__image__Int,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.27 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__Int,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__image__set__diff,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 191.92/192.27 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__set__diff,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__singleton,axiom, % 191.92/192.27 ! [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))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Comp,axiom, % 191.92/192.27 ! [V_R_2,V_d_2,V_Qa_2,V_ca_2,V_Pa_2,V_G_2,T_b] : % 191.92/192.27 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 191.92/192.27 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Qa_2,V_d_2,V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 191.92/192.27 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OSemi(V_ca_2,V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 191.92/192.27 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_a2_2,c_Com_Ocom_OSKIP,V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_hoare__derivs_OSkip,axiom, % 191.92/192.27 ! [V_Pa_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)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OSKIP,V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__image__Compl__subset,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__insert,axiom, % 191.92/192.27 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 191.92/192.27 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__iff__surj,axiom, % 191.92/192.27 ! [V_A_H_2,T_c,T_b,V_A_2] : % 191.92/192.27 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( ? [B_f] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) ) % 191.92/192.27 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__minus__self__iff,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Loop,axiom, % 191.92/192.27 ! [V_ca_2,V_b_2,V_Pa_2,V_G_2,T_b] : % 191.92/192.27 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2),V_ca_2,V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 191.92/192.27 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OWhile(V_b_2,V_ca_2),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_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)))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 191.92/192.27 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 191.92/192.27 ( 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)) % 191.92/192.27 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 191.92/192.27 | ? [B_x,B_y] : % 191.92/192.27 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 191.92/192.27 & 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) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__INT,axiom, % 191.92/192.27 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 191.92/192.27 => 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)) ) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__inv__into__comp,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 191.92/192.27 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 191.92/192.27 => 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(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__inv__into__into,axiom, % 191.92/192.27 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__Inter,axiom, % 191.92/192.27 ! [V_f_2,T_c,T_b,V_S_2] : % 191.92/192.27 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 191.92/192.27 => ( ! [B_A] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 191.92/192.27 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__zeroE,axiom, % 191.92/192.27 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evaln_OWhileTrue,axiom, % 191.92/192.27 ! [V_s2_2,V_s1_2,V_na_2,V_ca_2,V_s0_2,V_b_2] : % 191.92/192.27 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s0_2),V_na_2),V_s1_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_na_2),V_s2_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_na_2),V_s2_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evaln_OWhileFalse,axiom, % 191.92/192.27 ! [V_na_2,V_ca_2,V_s_2,V_b_2] : % 191.92/192.27 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_na_2),V_s_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evalc_OWhileTrue,axiom, % 191.92/192.27 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_b_2] : % 191.92/192.27 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_s2_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evalc_OWhileFalse,axiom, % 191.92/192.27 ! [V_ca_2,V_s_2,V_b_2] : % 191.92/192.27 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_s_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_WTs__elim__cases_I6_J,axiom, % 191.92/192.27 ! [V_ca_2,V_b_2] : % 191.92/192.27 ( c_Com_OWT(c_Com_Ocom_OWhile(V_b_2,V_ca_2)) % 191.92/192.27 => c_Com_OWT(V_ca_2) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__less__mono2,axiom, % 191.92/192.27 ! [V_l,V_n,V_m] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__imp__diff__less,axiom, % 191.92/192.27 ! [V_n,V_k,V_j] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__commute,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I5_J,axiom, % 191.92/192.27 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 191.92/192.27 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 191.92/192.27 <=> ( V_fun_2 = V_fun_H_2 % 191.92/192.27 & V_com_2 = V_com_H_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_not__less0,axiom, % 191.92/192.27 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_neq0__conv,axiom, % 191.92/192.27 ! [V_na_2] : % 191.92/192.27 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__nat__zero__code,axiom, % 191.92/192.27 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_gr__implies__not0,axiom, % 191.92/192.27 ! [V_n,V_m] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_gr0I,axiom, % 191.92/192.27 ! [V_n] : % 191.92/192.27 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__less,axiom, % 191.92/192.27 ! [V_m,V_n] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_zero__less__diff,axiom, % 191.92/192.27 ! [V_m_2,V_na_2] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__less__le,axiom, % 191.92/192.27 ! [V_na_2,V_m_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.27 & V_m_2 != V_na_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__eq__less__or__eq,axiom, % 191.92/192.27 ! [V_na_2,V_m_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.27 | V_m_2 = V_na_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__imp__le__nat,axiom, % 191.92/192.27 ! [V_n,V_m] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__neq__implies__less,axiom, % 191.92/192.27 ! [V_n,V_m] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => ( V_m != V_n % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__or__eq__imp__le,axiom, % 191.92/192.27 ! [V_n,V_m] : % 191.92/192.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 | V_m = V_n ) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_termination__basic__simps_I5_J,axiom, % 191.92/192.27 ! [V_y,V_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__less__mono,axiom, % 191.92/192.27 ! [V_c,V_b,V_a] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__diff__iff,axiom, % 191.92/192.27 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evaln_Oequations_I8_J,axiom, % 191.92/192.27 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 191.92/192.27 ( 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)) % 191.92/192.27 <=> ( ( V_a6_2 = V_a2_2 % 191.92/192.27 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 191.92/192.27 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.27 & ? [B_s1] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 191.92/192.27 & 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evaln_Oequations_I7_J,axiom, % 191.92/192.27 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 191.92/192.27 ( 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)) % 191.92/192.27 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.27 => ? [B_s1] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 191.92/192.27 & 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evalc_Oequations_I8_J,axiom, % 191.92/192.27 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2)) % 191.92/192.27 <=> ( ( V_a5_2 = V_a2_2 % 191.92/192.27 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 191.92/192.27 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.27 & ? [B_s1] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_evalc_Oequations_I7_J,axiom, % 191.92/192.27 ! [V_a2_2,V_a3_2,V_a1_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2)) % 191.92/192.27 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 191.92/192.27 => ? [B_s1] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 191.92/192.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_While,axiom, % 191.92/192.27 ! [V_b_2,V_ca_2] : % 191.92/192.27 ( c_Com_OWT(V_ca_2) % 191.92/192.27 => c_Com_OWT(c_Com_Ocom_OWhile(V_b_2,V_ca_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_WT_Oequations_I6_J,axiom, % 191.92/192.27 ! [V_a1_2,V_a2_2] : % 191.92/192.27 ( c_Com_OWT(c_Com_Ocom_OWhile(V_a2_2,V_a1_2)) % 191.92/192.27 <=> c_Com_OWT(V_a1_2) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I58_J,axiom, % 191.92/192.27 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I59_J,axiom, % 191.92/192.27 ! [V_com_2,V_fun_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I53_J,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I52_J,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I29_J,axiom, % 191.92/192.27 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I28_J,axiom, % 191.92/192.27 ! [V_com_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I61_J,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I60_J,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I46_J,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I47_J,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I16_J,axiom, % 191.92/192.27 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I17_J,axiom, % 191.92/192.27 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Orecs_I6_J,axiom, % 191.92/192.27 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f6_2,V_fun_2),V_com_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com_2)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_com_Osimps_I69_J,axiom, % 191.92/192.27 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(V_f6_2,V_fun_2),V_com_2) ). % 191.92/192.27 % 191.92/192.27 fof(fact_linorder__neqE__linordered__idom,axiom, % 191.92/192.27 ! [V_y,V_x,T_a] : % 191.92/192.27 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.27 => ( V_x != V_y % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__inv__into__f__eq,axiom, % 191.92/192.27 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__inv__into__f__f,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__inv__f__f,axiom, % 191.92/192.27 ! [V_x_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__the__inv__into,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__inv__into__onto,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_f__the__inv__into__f,axiom, % 191.92/192.27 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 => 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 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__elem__def,axiom, % 191.92/192.27 ! [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))))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__left__comm__idem__remove,axiom, % 191.92/192.27 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__INTER,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 191.92/192.27 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( ! [B_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 191.92/192.27 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 191.92/192.27 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_quotient__diff1,axiom, % 191.92/192.27 ! [V_a_2,V_A_2,V_r_2,T_b] : % 191.92/192.27 ( 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) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Diff1__fold__graph,axiom, % 191.92/192.27 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__diff1__nat,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,V_a_2,T_b] : % 191.92/192.27 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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)) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__o__cancel,axiom, % 191.92/192.27 ! [V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_b),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__not__refl,axiom, % 191.92/192.27 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__neq__iff,axiom, % 191.92/192.27 ! [V_na_2,V_m_2] : % 191.92/192.27 ( V_m_2 != V_na_2 % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_linorder__neqE__nat,axiom, % 191.92/192.27 ! [V_y,V_x] : % 191.92/192.27 ( V_x != V_y % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__irrefl__nat,axiom, % 191.92/192.27 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__not__refl2,axiom, % 191.92/192.27 ! [V_m,V_n] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 191.92/192.27 => V_m != V_n ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__not__refl3,axiom, % 191.92/192.27 ! [V_t,V_s] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 191.92/192.27 => V_s != V_t ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__less__cases,axiom, % 191.92/192.27 ! [V_Pa_2,V_na_2,V_m_2] : % 191.92/192.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 191.92/192.27 => ( ( V_m_2 = V_na_2 % 191.92/192.27 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 191.92/192.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 191.92/192.27 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__commute,axiom, % 191.92/192.27 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 191.92/192.27 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 191.92/192.27 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__eq__trivial,axiom, % 191.92/192.27 ! [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 ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__sym__eq__trivial,axiom, % 191.92/192.27 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 191.92/192.27 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 191.92/192.27 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__0,axiom, % 191.92/192.27 ! [V_A_2,T_c,T_b] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__subtractf,axiom, % 191.92/192.27 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_b) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__negf,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_b) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold__graph_Oequations_I1_J,axiom, % 191.92/192.27 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold__graph_OemptyI,axiom, % 191.92/192.27 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_empty__fold__graphE,axiom, % 191.92/192.27 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) % 191.92/192.27 => V_x_2 = V_z_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__empty,axiom, % 191.92/192.27 ! [V_f_2,T_c,T_b] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Oempty,axiom, % 191.92/192.27 ! [V_g_2,T_c,T_b] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__left__comm__idem__insert,axiom, % 191.92/192.27 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__left__comm__idem__sup,axiom, % 191.92/192.27 ! [T_b] : % 191.92/192.27 ( class_Lattices_Osemilattice__sup(T_b) % 191.92/192.27 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__left__comm__idem__inf,axiom, % 191.92/192.27 ! [T_b] : % 191.92/192.27 ( class_Lattices_Osemilattice__inf(T_b) % 191.92/192.27 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 191.92/192.27 ! [V_x_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__into__injective,axiom, % 191.92/192.27 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 191.92/192.27 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 => V_x_2 = V_y_2 ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__into__into,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_f__inv__into__f,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 191.92/192.27 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__into__f__eq,axiom, % 191.92/192.27 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 191.92/192.27 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__into__f__f,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__inv__into__cancel,axiom, % 191.92/192.27 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 191.92/192.27 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__surj__f__inv__f,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_surj__f__inv__f,axiom, % 191.92/192.27 ! [V_y_2,V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_surj__iff__all,axiom, % 191.92/192.27 ! [V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__f__eq,axiom, % 191.92/192.27 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 191.92/192.27 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__f__f,axiom, % 191.92/192.27 ! [V_x_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__id,axiom, % 191.92/192.27 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold__graph_OinsertI,axiom, % 191.92/192.27 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 191.92/192.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__reindex,axiom, % 191.92/192.27 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_d) % 191.92/192.27 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2)),V_B_2) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__reindex__id,axiom, % 191.92/192.27 ! [V_B_2,V_f_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_quotient__is__empty,axiom, % 191.92/192.27 ! [V_r_2,V_A_2,T_b] : % 191.92/192.27 ( 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)) % 191.92/192.27 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_quotient__is__empty2,axiom, % 191.92/192.27 ! [V_r_2,V_A_2,T_b] : % 191.92/192.27 ( 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) % 191.92/192.27 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_quotient__empty,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__into__image__cancel,axiom, % 191.92/192.27 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__inv__into,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 191.92/192.27 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_surj__imp__inj__inv,axiom, % 191.92/192.27 ! [V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__image__comp,axiom, % 191.92/192.27 ! [V_X_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__inv__f__f,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__imp__surj__inv,axiom, % 191.92/192.27 ! [V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_o__inv__o__cancel,axiom, % 191.92/192.27 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c),V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_the__inv__into__def,axiom, % 191.92/192.27 ! [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))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inv__into__comp,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 191.92/192.27 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 191.92/192.27 => hAPP(c_Hilbert__Choice_Oinv__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_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_surj__iff,axiom, % 191.92/192.27 ! [V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 <=> hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_b),V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__iff,axiom, % 191.92/192.27 ! [V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 <=> hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_b),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_flat__lub__def,axiom, % 191.92/192.27 ! [V_b_2,V_A_2,T_b] : % 191.92/192.27 ( ( 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))))) % 191.92/192.27 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 191.92/192.27 & ( ~ 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))))) % 191.92/192.27 => 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)))))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold1Set_Ointros,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_quotient__def,axiom, % 191.92/192.27 ! [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)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__vimage__singleton,axiom, % 191.92/192.27 ! [V_a_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => 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))))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__transfer,axiom, % 191.92/192.27 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( ! [B_y] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) ) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__diff1__ring,axiom, % 191.92/192.27 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Rings_Oring(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__diff1,axiom, % 191.92/192.27 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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)) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__less__nat,axiom, % 191.92/192.27 ! [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)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__le__nat,axiom, % 191.92/192.27 ! [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)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite_OemptyI,axiom, % 191.92/192.27 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite_OinsertI,axiom, % 191.92/192.27 ! [V_a_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__imageI,axiom, % 191.92/192.27 ! [V_h_2,T_c,V_F_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Int,axiom, % 191.92/192.27 ! [V_G_2,V_F_2,T_b] : % 191.92/192.27 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Diff,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimageI,axiom, % 191.92/192.27 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 191.92/192.27 ( hAPP(V_f_2,V_a_2) = V_b_2 % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Inter,axiom, % 191.92/192.27 ! [V_M_2,T_b] : % 191.92/192.27 ( ? [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 191.92/192.27 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__conjI,axiom, % 191.92/192.27 ! [V_Qa_2,V_Pa_2,T_b] : % 191.92/192.27 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.27 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__INT,axiom, % 191.92/192.27 ! [V_A_2,T_c,V_I_2,T_b] : % 191.92/192.27 ( ? [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 191.92/192.27 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__subsets,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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)))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__UnionD,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__code,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( class_Finite__Set_Ofinite(T_b) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( class_Finite__Set_Ofinite(T_b) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Pow__iff,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 191.92/192.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Prod__UNIV,axiom, % 191.92/192.27 ! [T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 191.92/192.27 => 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)))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Plus__UNIV__iff,axiom, % 191.92/192.27 ! [T_c,T_b] : % 191.92/192.27 ( 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)))) % 191.92/192.27 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.27 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__option__UNIV,axiom, % 191.92/192.27 ! [T_b] : % 191.92/192.27 ( 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)))) % 191.92/192.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__code,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 191.92/192.27 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__ident,axiom, % 191.92/192.27 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__vimageD,axiom, % 191.92/192.27 ! [V_F_2,V_h_2,T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 191.92/192.27 => ( 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)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__vimageI,axiom, % 191.92/192.27 ! [V_h_2,T_c,V_F_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__eq,axiom, % 191.92/192.27 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimageD,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimageI2,axiom, % 191.92/192.27 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__empty,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__mono,axiom, % 191.92/192.27 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__UNIV,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__Un,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__Int,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__compose,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__Diff,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite_Oequations_I1_J,axiom, % 191.92/192.27 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__id,axiom, % 191.92/192.27 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__insert,axiom, % 191.92/192.27 ! [V_A_2,V_a_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 191.92/192.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__fun__UNIVD2,axiom, % 191.92/192.27 ! [T_c,T_b] : % 191.92/192.27 ( 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)))) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__subset,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_rev__finite__subset,axiom, % 191.92/192.27 ! [V_A_2,V_B_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__Compl,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__UNIV,axiom, % 191.92/192.27 ! [T_b] : % 191.92/192.27 ( class_Finite__Set_Ofinite(T_b) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Un,axiom, % 191.92/192.27 ! [V_G_2,V_F_2,T_b] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__UnI,axiom, % 191.92/192.27 ! [V_G_2,V_F_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Diff2,axiom, % 191.92/192.27 ! [V_A_2,V_B_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__UN,axiom, % 191.92/192.27 ! [V_B_2,T_c,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold__graph__imp__finite,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__Collect__eq,axiom, % 191.92/192.27 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__UN,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__INT,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__seg__image__imp__finite,axiom, % 191.92/192.27 ! [V_na_2,V_f_2,T_b,V_A_2] : % 191.92/192.27 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_na_2))) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__disjI,axiom, % 191.92/192.27 ! [V_Qa_2,V_Pa_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)))) % 191.92/192.27 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.27 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__vimage__subset,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_surj__image__vimage__eq,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold1Set__nonempty,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_f_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 191.92/192.27 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_empty__fold1SetE,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__infinite,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Oinfinite,axiom, % 191.92/192.27 ! [V_g_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__surj,axiom, % 191.92/192.27 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Diff__insert,axiom, % 191.92/192.27 ! [V_B_2,V_a_2,V_A_2,T_b] : % 191.92/192.27 ( 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)))) % 191.92/192.27 <=> 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__imageD,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 191.92/192.27 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__compl,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 191.92/192.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__def,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__eq__0__iff,axiom, % 191.92/192.27 ! [V_f_2,V_F_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 => ( 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) % 191.92/192.27 <=> ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 191.92/192.27 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__image__set,axiom, % 191.92/192.27 ! [V_f_2,T_c,V_Pa_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__bounded__ex,axiom, % 191.92/192.27 ! [V_Qa_2,T_c,V_Pa_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))))) % 191.92/192.27 <=> ! [B_y] : % 191.92/192.27 ( hBOOL(hAPP(V_Pa_2,B_y)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_y)))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__not,axiom, % 191.92/192.27 ! [V_Pa_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)))) % 191.92/192.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__range__imageI,axiom, % 191.92/192.27 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Collect__bex,axiom, % 191.92/192.27 ! [V_Qa_2,T_c,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Qa_2))))) % 191.92/192.27 <=> ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_x)))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__Union,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__singleton__eq,axiom, % 191.92/192.27 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 191.92/192.27 ( 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)))))) % 191.92/192.27 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__insert,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__subsetD,axiom, % 191.92/192.27 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 191.92/192.27 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( 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)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__vimage__eq,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__vimage__image__eq,axiom, % 191.92/192.27 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_endo__inj__surj,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2)) % 191.92/192.27 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 191.92/192.27 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__surj__inj,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2))) % 191.92/192.27 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__const,axiom, % 191.92/192.27 ! [T_c,V_A_2,V_ca_2,T_b] : % 191.92/192.27 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__UNIV__inj__surj,axiom, % 191.92/192.27 ! [V_f_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.27 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__UNIV__surj__inj,axiom, % 191.92/192.27 ! [V_f_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.27 => ( 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)) % 191.92/192.27 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__eq__UN,axiom, % 191.92/192.27 ! [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))))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__delta_H,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.27 => 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) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__delta,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.27 => 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) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold1Set__sing,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,V_f_2,T_b] : % 191.92/192.27 ( 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)) % 191.92/192.27 <=> V_a_2 = V_b_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__subsetI,axiom, % 191.92/192.27 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__diff,axiom, % 191.92/192.27 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_vimage__if,axiom, % 191.92/192.27 ! [V_B_2,T_c,V_d_2,V_A_2,V_ca_2,T_b] : % 191.92/192.27 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 191.92/192.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 191.92/192.27 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Oreindex,axiom, % 191.92/192.27 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 191.92/192.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_b),V_g_2),V_h_2)),V_A_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__diff__nat,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,V_B_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__restrict__set,axiom, % 191.92/192.27 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_quotientI,axiom, % 191.92/192.27 ! [V_r_2,V_A_2,V_x_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_singleton__quotient,axiom, % 191.92/192.27 ! [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))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__image__gen,axiom, % 191.92/192.27 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__restrict__set_H,axiom, % 191.92/192.27 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Image__eq__UN,axiom, % 191.92/192.27 ! [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))))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__setsum__restrict,axiom, % 191.92/192.27 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_d) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 191.92/192.27 => 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) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Image__INT__subset,axiom, % 191.92/192.27 ! [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)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Image__Int__subset,axiom, % 191.92/192.27 ! [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)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Oremove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_infinite__UNIV__nat,axiom, % 191.92/192.27 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ocommute__left__comp,axiom, % 191.92/192.27 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ocommute__comp,axiom, % 191.92/192.27 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 191.92/192.27 ! [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] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 191.92/192.27 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ocommute__comp_H_H,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ocommute__left__comp_H,axiom, % 191.92/192.27 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ocommute__comp_H,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Oempty,axiom, % 191.92/192.27 ! [V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__nat__set__iff__bounded,axiom, % 191.92/192.27 ! [V_N_2] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 191.92/192.27 <=> ? [B_m] : % 191.92/192.27 ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 191.92/192.27 ! [V_N_2] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 191.92/192.27 <=> ? [B_m] : % 191.92/192.27 ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__M__bounded__by__nat,axiom, % 191.92/192.27 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Oinsert,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ounion__inter,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Image__empty,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Image__mono,axiom, % 191.92/192.27 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 191.92/192.27 ( 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)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Image__Un,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Un__Image,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Oinsert__remove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding_Ounion,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Image__UN,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image__simple_Oremove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 191.92/192.27 => 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)))))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one_Oremove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 191.92/192.27 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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)))))) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__mono2,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => ( ! [B_b] : % 191.92/192.27 ( 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))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 191.92/192.27 => 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))) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image_Oreindex,axiom, % 191.92/192.27 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 191.92/192.27 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_c),V_g_2),V_h_2)),V_A_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_quotientE,axiom, % 191.92/192.27 ! [V_r_2,V_A_2,V_X_2,T_b] : % 191.92/192.27 ( 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))) % 191.92/192.27 => ~ ! [B_x] : % 191.92/192.27 ( 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)))) % 191.92/192.27 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__mono3,axiom, % 191.92/192.27 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 191.92/192.27 ( ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 191.92/192.27 => 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))) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__reindex__nonzero,axiom, % 191.92/192.27 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_d) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 191.92/192.27 => ! [B_y] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 191.92/192.27 => ( B_x != B_y % 191.92/192.27 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 191.92/192.27 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 191.92/192.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2)),V_S_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__by__empty,axiom, % 191.92/192.27 ! [V_B_2,T_b,V_A_2] : % 191.92/192.27 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image__simple_Oempty,axiom, % 191.92/192.27 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.27 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image_Odistrib,axiom, % 191.92/192.27 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one_Osingleton,axiom, % 191.92/192.27 ! [V_x_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image__simple_Oinsert,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image__simple_Ounion__inter,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one_Oinsert,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one_Oinsert__remove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 191.92/192.27 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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)))))) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => 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)))))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one_Ounion__inter,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one_Ounion__disjoint,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.27 => ( 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)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OatMost__iff,axiom, % 191.92/192.27 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OatLeast__iff,axiom, % 191.92/192.27 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OlessThan__iff,axiom, % 191.92/192.27 ! [V_k_2,V_less_2,V_i_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OgreaterThan__iff,axiom, % 191.92/192.27 ! [V_k_2,V_less_2,V_i_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OatLeastAtMost__iff,axiom, % 191.92/192.27 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 191.92/192.27 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OatLeastLessThan__iff,axiom, % 191.92/192.27 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 191.92/192.27 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 191.92/192.27 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inf__Sup1__distrib,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Odistrib__lattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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))))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inf__Sup2__distrib,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Odistrib__lattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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))))))) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_sup__Inf1__distrib,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Odistrib__lattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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))))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_sup__Inf2__distrib,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Odistrib__lattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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))))))) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__Union,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 191.92/192.27 => ( ! [B_M] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 191.92/192.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Oremove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 191.92/192.27 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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)))))) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__le__Sup,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Osingleton,axiom, % 191.92/192.27 ! [V_x_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Osingleton,axiom, % 191.92/192.27 ! [V_x_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_sup__Inf__absorb,axiom, % 191.92/192.27 ! [V_a_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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 ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Oin__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inf__Sup__absorb,axiom, % 191.92/192.27 ! [V_a_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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 ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Oin__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin__Sup,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin__Inf,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Oinsert__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Oinsert__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Osubset__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Osubset__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Ounion__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Ounion__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Oinsert,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Oinsert,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Oinsert__remove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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 ) % 191.92/192.27 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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)))))) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Oinsert__remove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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 ) % 191.92/192.27 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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)))))) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Ounion__inter,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Ounion__inter,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Oremove,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 191.92/192.27 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.27 => 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)))))) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Oclosed,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( ! [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)))))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Oclosed,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( ! [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)))))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__idem_Ounion__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__idem_Oinsert__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one_Oclosed,axiom, % 191.92/192.27 ! [V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( ! [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)))))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__idem_Oin__comp__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__idem_Oidem__left__comp,axiom, % 191.92/192.27 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__idem_Oidem__comp,axiom, % 191.92/192.27 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__nonneg__leq__bound,axiom, % 191.92/192.27 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 191.92/192.27 => ( ! [B_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 191.92/192.27 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__nonneg__0,axiom, % 191.92/192.27 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Oordered__ab__group__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 191.92/192.27 => ( ! [B_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 191.92/192.27 => ( 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) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 191.92/192.27 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Inf__fin_Ohom__commute,axiom, % 191.92/192.27 ! [V_N_2,V_h_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( ! [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)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.27 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Sup__fin_Ohom__commute,axiom, % 191.92/192.27 ! [V_N_2,V_h_2,T_b] : % 191.92/192.27 ( class_Lattices_Olattice(T_b) % 191.92/192.27 => ( ! [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)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.27 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__mono__zero__right,axiom, % 191.92/192.27 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 191.92/192.27 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__mono__zero__left,axiom, % 191.92/192.27 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 191.92/192.27 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__empty__induct,axiom, % 191.92/192.27 ! [V_Pa_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 191.92/192.27 => ( ! [B_a,B_A] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 191.92/192.27 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one__idem_Ounion__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__subset__induct,axiom, % 191.92/192.27 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.27 => ( ! [B_a,B_F] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 191.92/192.27 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one__idem_Osubset__idem,axiom, % 191.92/192.27 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.27 => 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) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__strict__mono,axiom, % 191.92/192.27 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 191.92/192.27 => 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))) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one__idem_Oidem,axiom, % 191.92/192.27 ! [V_x_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 191.92/192.27 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__one__idem_Oin__idem,axiom, % 191.92/192.27 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_finite__conv__nat__seg__image,axiom, % 191.92/192.27 ! [V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Oremove,axiom, % 191.92/192.27 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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)))))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__diff1_H,axiom, % 191.92/192.27 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.27 => 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)))))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_image__eq__fold__image,axiom, % 191.92/192.27 ! [V_f_2,T_c,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold1Set_Oequations,axiom, % 191.92/192.27 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 191.92/192.27 ( 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)) % 191.92/192.27 <=> ? [B_a,B_A] : % 191.92/192.27 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 191.92/192.27 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 191.92/192.27 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_insert__fold1SetE,axiom, % 191.92/192.27 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 191.92/192.27 ( 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)) % 191.92/192.27 => ~ ! [B_a,B_A] : % 191.92/192.27 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__right__imp__eq,axiom, % 191.92/192.27 ! [V_c,V_a,V_b,T_a] : % 191.92/192.27 ( class_Groups_Ocancel__semigroup__add(T_a) % 191.92/192.27 => ( 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) % 191.92/192.27 => V_b = V_c ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__imp__eq,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 191.92/192.27 => ( 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) % 191.92/192.27 => V_b = V_c ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__left__imp__eq,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ocancel__semigroup__add(T_a) % 191.92/192.27 => ( 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) % 191.92/192.27 => V_b = V_c ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__right__cancel,axiom, % 191.92/192.27 ! [V_ca_2,V_a_2,V_b_2,T_b] : % 191.92/192.27 ( class_Groups_Ocancel__semigroup__add(T_b) % 191.92/192.27 => ( 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_ca_2),V_a_2) % 191.92/192.27 <=> V_b_2 = V_ca_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__left__cancel,axiom, % 191.92/192.27 ! [V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Ocancel__semigroup__add(T_b) % 191.92/192.27 => ( 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_ca_2) % 191.92/192.27 <=> V_b_2 = V_ca_2 ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oab__semigroup__add(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__le__imp__le__left,axiom, % 191.92/192.27 ! [V_b,V_a,V_c,T_a] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 191.92/192.27 => ( 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))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__le__imp__le__right,axiom, % 191.92/192.27 ! [V_b,V_c,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 191.92/192.27 => ( 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))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__mono,axiom, % 191.92/192.27 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__left__mono,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__right__mono,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__le__cancel__left,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__le__cancel__right,axiom, % 191.92/192.27 ! [V_b_2,V_ca_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__0__left,axiom, % 191.92/192.27 ! [V_a,T_a] : % 191.92/192.27 ( class_Groups_Omonoid__add(T_a) % 191.92/192.27 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__0,axiom, % 191.92/192.27 ! [V_a,T_a] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_a) % 191.92/192.27 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_double__zero__sym,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.27 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 191.92/192.27 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__0__right,axiom, % 191.92/192.27 ! [V_a,T_a] : % 191.92/192.27 ( class_Groups_Omonoid__add(T_a) % 191.92/192.27 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add_Ocomm__neutral,axiom, % 191.92/192.27 ! [V_a,T_a] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_a) % 191.92/192.27 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__less__imp__less__left,axiom, % 191.92/192.27 ! [V_b,V_a,V_c,T_a] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 191.92/192.27 => ( 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))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__less__imp__less__right,axiom, % 191.92/192.27 ! [V_b,V_c,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 191.92/192.27 => ( 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))) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__strict__mono,axiom, % 191.92/192.27 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__strict__left__mono,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__strict__right__mono,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__less__cancel__left,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__less__cancel__right,axiom, % 191.92/192.27 ! [V_b_2,V_ca_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__diff__cancel,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__add__cancel,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_minus__add__cancel,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__minus__cancel,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_minus__add,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_minus__add__distrib,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_plus__nat_Oadd__0,axiom, % 191.92/192.27 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 191.92/192.27 % 191.92/192.27 fof(fact_Nat_Oadd__0__right,axiom, % 191.92/192.27 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__is__0,axiom, % 191.92/192.27 ! [V_na_2,V_m_2] : % 191.92/192.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.27 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.27 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__eq__self__zero,axiom, % 191.92/192.27 ! [V_n,V_m] : % 191.92/192.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 191.92/192.27 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_termination__basic__simps_I2_J,axiom, % 191.92/192.27 ! [V_y,V_z,V_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_termination__basic__simps_I1_J,axiom, % 191.92/192.27 ! [V_z,V_y,V_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__lessD1,axiom, % 191.92/192.27 ! [V_k,V_j,V_i] : % 191.92/192.27 ( 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)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__add__eq__less,axiom, % 191.92/192.27 ! [V_n,V_m,V_l,V_k] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 191.92/192.27 => ( 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) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__less__mono,axiom, % 191.92/192.27 ! [V_l,V_k,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__less__mono1,axiom, % 191.92/192.27 ! [V_k,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_trans__less__add2,axiom, % 191.92/192.27 ! [V_m,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_trans__less__add1,axiom, % 191.92/192.27 ! [V_m,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__add__left__cancel__less,axiom, % 191.92/192.27 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_not__add__less2,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_not__add__less1,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__add2,axiom, % 191.92/192.27 ! [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))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__add1,axiom, % 191.92/192.27 ! [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))) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__iff__add,axiom, % 191.92/192.27 ! [V_na_2,V_m_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.27 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__add__left__cancel__le,axiom, % 191.92/192.27 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_trans__le__add1,axiom, % 191.92/192.27 ! [V_m,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_trans__le__add2,axiom, % 191.92/192.27 ! [V_m,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__le__mono1,axiom, % 191.92/192.27 ! [V_k,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__le__mono,axiom, % 191.92/192.27 ! [V_l,V_k,V_j,V_i] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__leD2,axiom, % 191.92/192.27 ! [V_n,V_k,V_m] : % 191.92/192.27 ( 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)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__leD1,axiom, % 191.92/192.27 ! [V_n,V_k,V_m] : % 191.92/192.27 ( 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)) % 191.92/192.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__leE,axiom, % 191.92/192.27 ! [V_n,V_k,V_m] : % 191.92/192.27 ( 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)) % 191.92/192.27 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_termination__basic__simps_I4_J,axiom, % 191.92/192.27 ! [V_y,V_z,V_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_termination__basic__simps_I3_J,axiom, % 191.92/192.27 ! [V_z,V_y,V_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__cancel2,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__cancel,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__diff__left,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__add__inverse,axiom, % 191.92/192.27 ! [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 ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__add__inverse2,axiom, % 191.92/192.27 ! [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 ). % 191.92/192.27 % 191.92/192.27 fof(fact_fold__image__empty,axiom, % 191.92/192.27 ! [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 ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Oeq__fold,axiom, % 191.92/192.27 ! [V_g_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_OF__eq,axiom, % 191.92/192.27 ! [V_g_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__addf,axiom, % 191.92/192.27 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__nonpos__nonpos,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__increasing2,axiom, % 191.92/192.27 ! [V_a,V_b,V_c,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__increasing,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__nonneg__eq__0__iff,axiom, % 191.92/192.27 ! [V_y_2,V_x_2,T_b] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 191.92/192.27 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.27 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.27 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__nonneg__nonneg,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__less__le__mono,axiom, % 191.92/192.27 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__le__less__mono,axiom, % 191.92/192.27 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_pos__add__strict,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__neg__neg,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__pos__pos,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_minus__unique,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.27 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ab__left__minus,axiom, % 191.92/192.27 ! [V_a,T_a] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_a) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_left__minus,axiom, % 191.92/192.27 ! [V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_eq__neg__iff__add__eq__0,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,T_b] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_b) % 191.92/192.27 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 191.92/192.27 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_right__minus,axiom, % 191.92/192.27 ! [V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__minus__eq__add,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_ab__diff__minus,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__def,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Ogroup__add(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__gr__0,axiom, % 191.92/192.27 ! [V_na_2,V_m_2] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 191.92/192.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__add__0,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__diff__inverse,axiom, % 191.92/192.27 ! [V_n,V_m] : % 191.92/192.27 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_less__diff__conv,axiom, % 191.92/192.27 ! [V_k_2,V_j_2,V_i_2] : % 191.92/192.27 ( 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))) % 191.92/192.27 <=> 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__diff__right,axiom, % 191.92/192.27 ! [V_i,V_j,V_k] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__diff__conv,axiom, % 191.92/192.27 ! [V_i_2,V_k_2,V_j_2] : % 191.92/192.27 ( 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)) % 191.92/192.27 <=> 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__add__diff,axiom, % 191.92/192.27 ! [V_m,V_n,V_k] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 191.92/192.27 => 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))) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__add__diff__inverse,axiom, % 191.92/192.27 ! [V_m,V_n] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__diff__assoc,axiom, % 191.92/192.27 ! [V_i,V_j,V_k] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__diff__conv2,axiom, % 191.92/192.27 ! [V_i_2,V_j_2,V_k_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__add__diff__inverse2,axiom, % 191.92/192.27 ! [V_m,V_n] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_le__imp__diff__is__add,axiom, % 191.92/192.27 ! [V_k_2,V_j_2,V_i_2] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 191.92/192.27 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 191.92/192.27 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__add__assoc,axiom, % 191.92/192.27 ! [V_i,V_j,V_k] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__diff__assoc2,axiom, % 191.92/192.27 ! [V_i,V_j,V_k] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_diff__add__assoc2,axiom, % 191.92/192.27 ! [V_i,V_j,V_k] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_funpow__add,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Nats__add,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,T_b] : % 191.92/192.27 ( class_Rings_Osemiring__1(T_b) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Odistrib,axiom, % 191.92/192.27 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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)) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 191.92/192.27 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_folding__image_Oeq__fold,axiom, % 191.92/192.27 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => 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) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__pos__nonneg,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__nonneg__pos,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__strict__increasing,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__strict__increasing2,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__neg__nonpos,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__nonpos__neg,axiom, % 191.92/192.27 ! [V_b,V_a,T_a] : % 191.92/192.27 ( class_Groups_Oordered__comm__monoid__add(T_a) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__diff__split__asm,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,V_Pa_2] : % 191.92/192.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 191.92/192.27 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 191.92/192.27 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 191.92/192.27 | ? [B_d] : % 191.92/192.27 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 191.92/192.27 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__diff__split,axiom, % 191.92/192.27 ! [V_b_2,V_a_2,V_Pa_2] : % 191.92/192.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 191.92/192.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 191.92/192.27 & ! [B_d] : % 191.92/192.27 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 191.92/192.27 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__insert,axiom, % 191.92/192.27 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Oinsert,axiom, % 191.92/192.27 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__Un__Int,axiom, % 191.92/192.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => 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)) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Oinsert__remove,axiom, % 191.92/192.27 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => 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)))))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__Un__disjoint,axiom, % 191.92/192.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__Un,axiom, % 191.92/192.27 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Oab__group__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => 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))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__Un__nat,axiom, % 191.92/192.27 ! [V_f_2,V_B_2,V_A_2,T_b] : % 191.92/192.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => 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))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__cases,axiom, % 191.92/192.27 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 191.92/192.27 ! [V_y,V_x,T_a] : % 191.92/192.27 ( class_Rings_Ocomm__ring__1(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_even__less__0__iff,axiom, % 191.92/192.27 ! [V_a_2,T_b] : % 191.92/192.27 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.27 => ( 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))) % 191.92/192.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comm__monoid__big_OF__eq,axiom, % 191.92/192.27 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.27 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 191.92/192.27 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => 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) ) % 191.92/192.27 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.27 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum_Ounion__inter__neutral,axiom, % 191.92/192.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.27 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_setsum__Un__zero,axiom, % 191.92/192.27 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 191.92/192.27 ( class_Groups_Ocomm__monoid__add(T_c) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 191.92/192.27 => ( ! [B_x] : % 191.92/192.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 191.92/192.27 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 191.92/192.27 => 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)) ) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_add__Min__commute,axiom, % 191.92/192.27 ! [V_k_2,V_N_2,T_b] : % 191.92/192.27 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 191.92/192.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.27 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.27 => 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))))) ) ) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_inj__on__add__nat,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__add__right__cancel,axiom, % 191.92/192.27 ! [V_na_2,V_k_2,V_m_2] : % 191.92/192.27 ( 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) % 191.92/192.27 <=> V_m_2 = V_na_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__add__left__cancel,axiom, % 191.92/192.27 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.27 ( 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) % 191.92/192.27 <=> V_m_2 = V_na_2 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__add__assoc,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__add__left__commute,axiom, % 191.92/192.27 ! [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)) ). % 191.92/192.27 % 191.92/192.27 fof(fact_nat__add__commute,axiom, % 191.92/192.27 ! [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) ). % 191.92/192.27 % 191.92/192.27 fof(fact_Min_Osingleton,axiom, % 191.92/192.27 ! [V_x_2,T_b] : % 191.92/192.27 ( class_Orderings_Olinorder(T_b) % 191.92/192.27 => 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 ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 191.92/192.27 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 191.92/192.27 ! [V_c,V_b,V_a,T_a] : % 191.92/192.27 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.27 => 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)) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 191.92/192.27 ! [V_d,V_c,V_a,T_a] : % 191.92/192.27 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.27 => 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) ) ). % 191.92/192.27 % 191.92/192.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 191.92/192.27 ! [V_d,V_c,V_a,T_a] : % 191.92/192.27 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 191.92/192.28 ! [V_c,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min__le,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min__in,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min__antimono,axiom, % 191.92/192.28 ! [V_N_2,V_M_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 191.92/192.28 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.28 => 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))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__monoid__big_Oinfinite,axiom, % 191.92/192.28 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.28 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 191.92/192.28 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.28 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__0__iff,axiom, % 191.92/192.28 ! [V_a_2,V_b_2,T_b] : % 191.92/192.28 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 191.92/192.28 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 191.92/192.28 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_double__eq__0__iff,axiom, % 191.92/192.28 ! [V_a_2,T_b] : % 191.92/192.28 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__Max__commute,axiom, % 191.92/192.28 ! [V_k_2,V_N_2,T_b] : % 191.92/192.28 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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))))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__Min__eq__Max,axiom, % 191.92/192.28 ! [V_S_2,T_b] : % 191.92/192.28 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.28 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__Max__eq__Min,axiom, % 191.92/192.28 ! [V_S_2,T_b] : % 191.92/192.28 ( class_Groups_Olinordered__ab__group__add(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.28 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Oremove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_THE__default__def,axiom, % 191.92/192.28 ! [V_d_2,T_b,V_Pa_2] : % 191.92/192.28 ( ( ? [B_x] : % 191.92/192.28 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.28 & ! [B_y] : % 191.92/192.28 ( hBOOL(hAPP(V_Pa_2,B_y)) % 191.92/192.28 => B_y = B_x ) ) % 191.92/192.28 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 191.92/192.28 & ( ~ ? [B_x] : % 191.92/192.28 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.28 & ! [B_y] : % 191.92/192.28 ( hBOOL(hAPP(V_Pa_2,B_y)) % 191.92/192.28 => B_y = B_x ) ) % 191.92/192.28 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff2__less,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__assoc,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf_Oassoc,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__left__commute,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 191.92/192.28 ! [V_c,V_a,V_b,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__left__idem,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__commute,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf_Ocommute,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf_Oidem,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Oidem,axiom, % 191.92/192.28 ! [V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__le__iff__disj,axiom, % 191.92/192.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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)) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 191.92/192.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__le1,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__le2,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__iff__inf,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.28 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__inf__iff,axiom, % 191.92/192.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__infI1,axiom, % 191.92/192.28 ! [V_b,V_x,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__infI2,axiom, % 191.92/192.28 ! [V_a,V_x,V_b,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__absorb1,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__absorb2,axiom, % 191.92/192.28 ! [V_x,V_y,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__infI,axiom, % 191.92/192.28 ! [V_b,V_a,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__greatest,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__mono,axiom, % 191.92/192.28 ! [V_d,V_b,V_c,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__infE,axiom, % 191.92/192.28 ! [V_b,V_a,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( 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))) % 191.92/192.28 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 191.92/192.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oless__infI2,axiom, % 191.92/192.28 ! [V_a,V_x,V_b,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oless__infI1,axiom, % 191.92/192.28 ! [V_b,V_x,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__less__iff__disj,axiom, % 191.92/192.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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)) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 191.92/192.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__less__iff__conj,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,V_z_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__add__distrib__left,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__diff__distrib__left,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Groups_Oordered__ab__group__add(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_inf__min,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( ( class_Lattices_Osemilattice__inf(T_b) % 191.92/192.28 & class_Orderings_Olinorder(T_b) ) % 191.92/192.28 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__0L,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__0R,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__diff,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card_Oempty,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__infinite,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.28 => ( 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))) % 191.92/192.28 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__image,axiom, % 191.92/192.28 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.28 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.28 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Osingleton,axiom, % 191.92/192.28 ! [V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => 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 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__eq__0__iff,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__ge__0__finite,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( 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))) % 191.92/192.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__insert__le,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => 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)))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__mono,axiom, % 191.92/192.28 ! [V_A_2,V_B_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__seteq,axiom, % 191.92/192.28 ! [V_A_2,V_B_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.28 => ( 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))) % 191.92/192.28 => V_A_2 = V_B_2 ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__image__le,axiom, % 191.92/192.28 ! [V_f_2,T_c,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_inj__on__iff__eq__card,axiom, % 191.92/192.28 ! [V_f_2,T_c,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.28 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_eq__card__imp__inj__on,axiom, % 191.92/192.28 ! [V_f_2,T_c,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) % 191.92/192.28 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_pigeonhole,axiom, % 191.92/192.28 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) % 191.92/192.28 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__quotient__disjoint,axiom, % 191.92/192.28 ! [V_r_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 191.92/192.28 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Oin__idem,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_psubset__card__mono,axiom, % 191.92/192.28 ! [V_A_2,V_B_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max__ge,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max__in,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__gt__0__iff,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( 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))) % 191.92/192.28 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_finite__UNIV__card__ge__0,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 191.92/192.28 => 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))))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card_Ounion__inter,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Un__Int,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__bij__eq,axiom, % 191.92/192.28 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.28 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 191.92/192.28 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.28 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff__subset,axiom, % 191.92/192.28 ! [V_A_2,V_B_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff__subset__Int,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( 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))) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__card__le__card__Diff,axiom, % 191.92/192.28 ! [V_A_2,V_B_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => 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)))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__psubset,axiom, % 191.92/192.28 ! [V_A_2,V_B_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.28 => ( 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))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min__insert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Osubset__idem,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min__Un,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max__mono,axiom, % 191.92/192.28 ! [V_N_2,V_M_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 191.92/192.28 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.28 => 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))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Un__disjoint,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff1__le,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__inj__on__le,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.28 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_inj__on__iff__card__le,axiom, % 191.92/192.28 ! [V_B_2,T_c,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.28 => ( ? [B_f] : % 191.92/192.28 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) ) % 191.92/192.28 <=> 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Oinsert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Oinsert__remove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Ounion__inter,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Ounion__disjoint,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff1__less,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_dual__max,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__ord__min,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Orderings_Oord(T_b) % 191.92/192.28 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Oclosed,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( ! [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)))))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff__singleton__if,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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)) ) % 191.92/192.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff__singleton,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card_Oremove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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)))))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_inf__nat__def,axiom, % 191.92/192.28 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__UNIV__unit,axiom, % 191.92/192.28 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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_one__reorient,axiom, % 191.92/192.28 ! [V_x_2,T_b] : % 191.92/192.28 ( class_Groups_Oone(T_b) % 191.92/192.28 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 191.92/192.28 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_one__neq__zero,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Rings_Ozero__neq__one(T_a) % 191.92/192.28 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__neq__one,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Rings_Ozero__neq__one(T_a) % 191.92/192.28 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__le__one,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_not__one__le__zero,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ~ 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_not__one__less__zero,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__less__one,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__add__one,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => 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)))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Nats__1,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Rings_Osemiring__1(T_b) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__eq__setsum,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__less__two,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => 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)))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_setsum__eq__1__iff,axiom, % 191.92/192.28 ! [V_f_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( 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) % 191.92/192.28 <=> ? [B_x] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.28 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 191.92/192.28 & ! [B_xa] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 191.92/192.28 => ( B_x != B_xa % 191.92/192.28 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__def,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => 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) ) % 191.92/192.28 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card_Oeq__fold__g,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card_Oinsert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Diff__insert,axiom, % 191.92/192.28 ! [V_B_2,V_a_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card_Oinsert__remove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => 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)))))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card_Ounion__inter__neutral,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( ( ? [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))) % 191.92/192.28 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__odd__less__0,axiom, % 191.92/192.28 ! [V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_setsum__multicount__gen,axiom, % 191.92/192.28 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 191.92/192.28 => ( ! [B_x] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 191.92/192.28 => 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) ) % 191.92/192.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_finite__fun__UNIVD1,axiom, % 191.92/192.28 ! [T_c,T_b] : % 191.92/192.28 ( 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)))) % 191.92/192.28 => ( 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)) % 191.92/192.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Plus__conv__if,axiom, % 191.92/192.28 ! [V_B_2,T_c,V_A_2,T_b] : % 191.92/192.28 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 191.92/192.28 => 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)) ) % 191.92/192.28 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 191.92/192.28 => 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) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Oremove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__mono,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_lessI,axiom, % 191.92/192.28 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__less__Suc,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__inject,axiom, % 191.92/192.28 ! [V_y,V_x] : % 191.92/192.28 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 191.92/192.28 => V_x = V_y ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat_Oinject,axiom, % 191.92/192.28 ! [V_nat_H_2,V_nat_2] : % 191.92/192.28 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 191.92/192.28 <=> V_nat_2 = V_nat_H_2 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__n__not__n,axiom, % 191.92/192.28 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 191.92/192.28 % 191.92/192.28 fof(fact_n__not__Suc__n,axiom, % 191.92/192.28 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Zero__not__Suc,axiom, % 191.92/192.28 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat_Osimps_I2_J,axiom, % 191.92/192.28 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__not__Zero,axiom, % 191.92/192.28 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat_Osimps_I3_J,axiom, % 191.92/192.28 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Zero__neq__Suc,axiom, % 191.92/192.28 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__neq__Zero,axiom, % 191.92/192.28 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__less__SucD,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__lessD,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__SucE,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => V_m = V_n ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__trans__Suc,axiom, % 191.92/192.28 ! [V_k,V_j,V_i] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__lessI,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__SucI,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__antisym,axiom, % 191.92/192.28 ! [V_m,V_n] : % 191.92/192.28 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 191.92/192.28 => V_m = V_n ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_not__less__less__Suc__eq,axiom, % 191.92/192.28 ! [V_m_2,V_na_2] : % 191.92/192.28 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 191.92/192.28 <=> V_na_2 = V_m_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__less__eq,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( 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))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__Suc__eq,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.28 | V_m_2 = V_na_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_not__less__eq,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__Suc__right,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__Suc,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__Suc__shift,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__n__not__le__n,axiom, % 191.92/192.28 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_not__less__eq__eq,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__Suc__eq,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.28 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__le__mono,axiom, % 191.92/192.28 ! [V_m_2,V_na_2] : % 191.92/192.28 ( 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))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__SucI,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__SucE,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__leD,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__diff__diff,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__Suc__Suc,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_evaln__Suc,axiom, % 191.92/192.28 ! [V_s_H,V_n,V_s,V_c] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_s_H)) % 191.92/192.28 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),hAPP(c_Nat_OSuc,V_n)),V_s_H)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_code__numeral__zero__minus__one,axiom, % 191.92/192.28 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__Suc__Suc,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__code__numeral__minus__one,axiom, % 191.92/192.28 ! [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 ). % 191.92/192.28 % 191.92/192.28 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 191.92/192.28 ! [V_i_2,V_na_2,V_inc_2,T_b] : % 191.92/192.28 ( class_Rings_Osemiring__1(T_b) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_inj__Suc,axiom, % 191.92/192.28 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__Suc__eq__0__disj,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 191.92/192.28 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 | ? [B_j] : % 191.92/192.28 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__Suc0,axiom, % 191.92/192.28 ! [V_na_2] : % 191.92/192.28 ( 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)))) % 191.92/192.28 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_gr0__conv__Suc,axiom, % 191.92/192.28 ! [V_na_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 191.92/192.28 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_one__is__add,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( 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) % 191.92/192.28 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 191.92/192.28 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.28 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__is__1,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( 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)) % 191.92/192.28 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 191.92/192.28 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.28 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__add__Suc1,axiom, % 191.92/192.28 ! [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)))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__add__Suc2,axiom, % 191.92/192.28 ! [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)))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__iff__Suc__add,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.28 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__eq__Suc__le,axiom, % 191.92/192.28 ! [V_m_2,V_na_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__Suc__eq__le,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__le__eq,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__imp__less__Suc,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__leI,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__less__Suc__eq,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 191.92/192.28 <=> V_na_2 = V_m_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__le__lessD,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__less__Suc,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__diff__le,axiom, % 191.92/192.28 ! [V_m,V_n] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_One__nat__def,axiom, % 191.92/192.28 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__Suc__1,axiom, % 191.92/192.28 ! [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 ). % 191.92/192.28 % 191.92/192.28 fof(fact_funpow_Osimps_I2_J,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__eq__Suc__le__raw,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__0,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Rings_Oring__1(T_b) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__add,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oring__1(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__diff,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oring__1(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__1,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Rings_Oring__1(T_b) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__minus,axiom, % 191.92/192.28 ! [V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oring__1(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__pred,axiom, % 191.92/192.28 ! [V_n] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.28 => 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 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__Suc__less,axiom, % 191.92/192.28 ! [V_i,V_n] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__Suc__diff__eq2,axiom, % 191.92/192.28 ! [V_m,V_j,V_k] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__Suc__diff__eq1,axiom, % 191.92/192.28 ! [V_m,V_j,V_k] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_setsum__eq__Suc0__iff,axiom, % 191.92/192.28 ! [V_f_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( 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)) % 191.92/192.28 <=> ? [B_x] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.28 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 191.92/192.28 & ! [B_xa] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 191.92/192.28 => ( B_x != B_xa % 191.92/192.28 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 191.92/192.28 ! [V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => 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 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__less__Suc,axiom, % 191.92/192.28 ! [V_i_2,V_M_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 191.92/192.28 => 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))))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__less,axiom, % 191.92/192.28 ! [V_i_2,V_M_2] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__less__Suc2,axiom, % 191.92/192.28 ! [V_i_2,V_M_2] : % 191.92/192.28 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 191.92/192.28 => 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))))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat_Osize_I4_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat_Osize_I2_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__insert__if,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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) ) % 191.92/192.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__insert__disjoint,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__diff__1,axiom, % 191.92/192.28 ! [V_n] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.28 => 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 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__double__eq__0__iff,axiom, % 191.92/192.28 ! [V_a_2,T_b] : % 191.92/192.28 ( class_Int_Oring__char__0(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_finite__PlusD_I2_J,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_c,T_b] : % 191.92/192.28 ( 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))) % 191.92/192.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_finite__PlusD_I1_J,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_c,T_b] : % 191.92/192.28 ( 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))) % 191.92/192.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_finite__Plus,axiom, % 191.92/192.28 ! [V_B_2,T_c,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_finite__Plus__iff,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_c,T_b] : % 191.92/192.28 ( 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))) % 191.92/192.28 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_com_Osize_I14_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_com_Osize_I6_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_com_Osize_I13_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_com_Osize_I5_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_com_Osize_I12_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_com_Osize_I4_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__insert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => 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)))))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Plus,axiom, % 191.92/192.28 ! [V_B_2,T_c,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_code__numeral_Osize_I4_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_code__numeral_Osize_I2_J,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__odd__nonzero,axiom, % 191.92/192.28 ! [V_a_2,T_b] : % 191.92/192.28 ( class_Int_Oring__char__0(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => 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) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Suc__Diff1,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__eq__if,axiom, % 191.92/192.28 ! [V_n,V_m] : % 191.92/192.28 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 191.92/192.28 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 => 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)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__pred_H,axiom, % 191.92/192.28 ! [V_n] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_UNIV__Plus__UNIV,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__Suc__eq__diff__pred,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__eq__plus1__left,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__eq__plus1,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Plus__eq__empty__conv,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_c,T_b] : % 191.92/192.28 ( 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)) % 191.92/192.28 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__of__aux__code,axiom, % 191.92/192.28 ! [V_n,V_i] : % 191.92/192.28 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 191.92/192.28 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 191.92/192.28 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 191.92/192.28 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( ! [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)))))) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Suc__eq,axiom, % 191.92/192.28 ! [V_k_2,V_A_2,T_b] : % 191.92/192.28 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 191.92/192.28 <=> ? [B_b,B_B] : % 191.92/192.28 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 191.92/192.28 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 191.92/192.28 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 191.92/192.28 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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))))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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))))))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__supE,axiom, % 191.92/192.28 ! [V_x,V_b,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( 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)) % 191.92/192.28 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 191.92/192.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__mono,axiom, % 191.92/192.28 ! [V_d,V_b,V_c,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__least,axiom, % 191.92/192.28 ! [V_z,V_x,V_y,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__supI,axiom, % 191.92/192.28 ! [V_b,V_x,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__absorb1,axiom, % 191.92/192.28 ! [V_x,V_y,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__absorb2,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__supI2,axiom, % 191.92/192.28 ! [V_a,V_b,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__supI1,axiom, % 191.92/192.28 ! [V_b,V_a,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__sup__iff,axiom, % 191.92/192.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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)) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ole__iff__sup,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 191.92/192.28 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__maxI2,axiom, % 191.92/192.28 ! [V_x,V_y,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__maxI1,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__max__iff__disj,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,V_z_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 191.92/192.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__max__iff__disj,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,V_z_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 191.92/192.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_max__less__iff__conj,axiom, % 191.92/192.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( 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)) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oless__supI1,axiom, % 191.92/192.28 ! [V_b,V_a,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oless__supI2,axiom, % 191.92/192.28 ! [V_a,V_b,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_max__add__distrib__left,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__assoc,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup_Oassoc,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__left__commute,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup_Oleft__commute,axiom, % 191.92/192.28 ! [V_c,V_a,V_b,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__left__idem,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup_Oleft__idem,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__commute,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup_Ocommute,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup_Oidem,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Oidem,axiom, % 191.92/192.28 ! [V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_max__diff__distrib__left,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Groups_Oordered__ab__group__add(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sup__max,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( ( class_Lattices_Osemilattice__sup(T_b) % 191.92/192.28 & class_Orderings_Olinorder(T_b) ) % 191.92/192.28 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_max__0L,axiom, % 191.92/192.28 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 191.92/192.28 % 191.92/192.28 fof(fact_max__0R,axiom, % 191.92/192.28 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 191.92/192.28 % 191.92/192.28 fof(fact_max__Suc__Suc,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 191.92/192.28 ! [V_x,V_z,V_y,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__inf__distrib2,axiom, % 191.92/192.28 ! [V_x,V_z,V_y,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__inf__distrib1,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__sup__absorb,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__inf__absorb,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Odistrib__sup__le,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Odistrib__inf__le,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Orderings_Olinorder(T_a) % 191.92/192.28 => 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)))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__min__eq__max,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Groups_Olinordered__ab__group__add(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__max__eq__min,axiom, % 191.92/192.28 ! [V_y,V_x,T_a] : % 191.92/192.28 ( class_Groups_Olinordered__ab__group__add(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__minus__add__max,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_max__ord__max,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Orderings_Oord(T_b) % 191.92/192.28 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Oin__idem,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_dual__min,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max__insert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Osubset__idem,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Osup__Inf__absorb,axiom, % 191.92/192.28 ! [V_a_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.28 => 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 ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max__Un,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Oinsert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Oinsert__remove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Ounion__inter,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Ounion__disjoint,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Oremove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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))))))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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))))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Oclosed,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( ! [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)))))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__le__Sup,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_card__Pow,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sup__nat__def,axiom, % 191.92/192.28 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 191.92/192.28 ! [V_x,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 191.92/192.28 ! [V_x,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Ints__power,axiom, % 191.92/192.28 ! [V_na_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oring__1(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 191.92/192.28 ! [V_x_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => 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 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 191.92/192.28 => 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) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 191.92/192.28 ! [V_a_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.28 => 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 ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 191.92/192.28 ! [V_B_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Oremove,axiom, % 191.92/192.28 ! [V_x_2,V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 191.92/192.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 191.92/192.28 => 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)))))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__strict__mono,axiom, % 191.92/192.28 ! [V_n,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.28 => 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))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_one__less__power,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__increasing__iff,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,V_b_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__le__imp__le__exp,axiom, % 191.92/192.28 ! [V_n,V_m,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.28 => ( 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))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__decreasing,axiom, % 191.92/192.28 ! [V_a,V_N,V_n,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 191.92/192.28 => 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))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_field__power__not__zero,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 191.92/192.28 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__one,axiom, % 191.92/192.28 ! [V_n,T_a] : % 191.92/192.28 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__one__right,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.28 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__le__power,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__mono,axiom, % 191.92/192.28 ! [V_n,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__less__power,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__eq__0__iff,axiom, % 191.92/192.28 ! [V_na_2,V_a_2,T_b] : % 191.92/192.28 ( ( class_Power_Opower(T_b) % 191.92/192.28 & class_Rings_Omult__zero(T_b) % 191.92/192.28 & class_Rings_Ono__zero__divisors(T_b) % 191.92/192.28 & class_Rings_Ozero__neq__one(T_b) ) % 191.92/192.28 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_one__le__power,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__0__Suc,axiom, % 191.92/192.28 ! [V_n,T_a] : % 191.92/192.28 ( ( class_Power_Opower(T_a) % 191.92/192.28 & class_Rings_Osemiring__0(T_a) ) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__inject__exp,axiom, % 191.92/192.28 ! [V_na_2,V_m_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 191.92/192.28 => ( 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) % 191.92/192.28 <=> V_m_2 = V_na_2 ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__0,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Power_Opower(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 191.92/192.28 ! [V_m_2,V_x_2] : % 191.92/192.28 ( 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)) % 191.92/192.28 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__Suc__0,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__power__less__imp__less,axiom, % 191.92/192.28 ! [V_n,V_m,V_i] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 191.92/192.28 => ( 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))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__zero__less__power__iff,axiom, % 191.92/192.28 ! [V_na_2,V_x_2] : % 191.92/192.28 ( 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))) % 191.92/192.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 191.92/192.28 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__less__imp__less__base,axiom, % 191.92/192.28 ! [V_b,V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( 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))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__inject__base,axiom, % 191.92/192.28 ! [V_b,V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( 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)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => V_a = V_b ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__le__imp__le__base,axiom, % 191.92/192.28 ! [V_b,V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( 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)))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__0__left,axiom, % 191.92/192.28 ! [V_n,T_a] : % 191.92/192.28 ( ( class_Power_Opower(T_a) % 191.92/192.28 & class_Rings_Osemiring__0(T_a) ) % 191.92/192.28 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 => 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) ) % 191.92/192.28 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 => 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) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__gt1,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.28 => 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)))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__strict__increasing,axiom, % 191.92/192.28 ! [V_a,V_N,V_n,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__less__imp__less__exp,axiom, % 191.92/192.28 ! [V_n,V_m,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.28 => ( 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))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__strict__increasing__iff,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,V_b_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__increasing,axiom, % 191.92/192.28 ! [V_a,V_N,V_n,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__one__le__power,axiom, % 191.92/192.28 ! [V_n,V_i] : % 191.92/192.28 ( 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)) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__eq__imp__eq__base,axiom, % 191.92/192.28 ! [V_b,V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( 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) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.28 => V_a = V_b ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__Suc__less__one,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__strict__decreasing,axiom, % 191.92/192.28 ! [V_a,V_N,V_n,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 191.92/192.28 => 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))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 191.92/192.28 ! [V_A_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => ( ! [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)))))) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 191.92/192.28 ! [V_N_2,V_h_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( ! [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)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 191.92/192.28 ! [V_N_2,V_h_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( ! [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)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Max_Ohom__commute,axiom, % 191.92/192.28 ! [V_N_2,V_h_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( ! [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)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Min_Ohom__commute,axiom, % 191.92/192.28 ! [V_N_2,V_h_2,T_b] : % 191.92/192.28 ( class_Orderings_Olinorder(T_b) % 191.92/192.28 => ( ! [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)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.28 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_ex__least__nat__less,axiom, % 191.92/192.28 ! [V_na_2,V_Pa_2] : % 191.92/192.28 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 191.92/192.28 => ( hBOOL(hAPP(V_Pa_2,V_na_2)) % 191.92/192.28 => ? [B_k] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2)) % 191.92/192.28 & ! [B_i] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 191.92/192.28 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 191.92/192.28 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_fold__Un__disjoint,axiom, % 191.92/192.28 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.28 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.28 => ( 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)) % 191.92/192.28 => 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)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__Suc2,axiom, % 191.92/192.28 ! [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)) = 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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_min__Suc1,axiom, % 191.92/192.28 ! [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) = 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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sgn__if,axiom, % 191.92/192.28 ! [V_x,T_a] : % 191.92/192.28 ( class_Groups_Osgn__if(T_a) % 191.92/192.28 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 191.92/192.28 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.28 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 191.92/192.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.28 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 191.92/192.28 ! [V_z,V_y,V_x,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_crossproduct__noteq,axiom, % 191.92/192.28 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.28 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 191.92/192.28 => ( ( V_a_2 != V_b_2 % 191.92/192.28 & V_ca_2 != V_d_2 ) % 191.92/192.28 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_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_ca_2)) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 191.92/192.28 ! [V_b,V_m,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_crossproduct__eq,axiom, % 191.92/192.28 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 191.92/192.28 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 191.92/192.28 => ( 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)) % 191.92/192.28 <=> ( V_w_2 = V_x_2 % 191.92/192.28 | V_y_2 = V_z_2 ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__class_Odistrib,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_combine__common__factor,axiom, % 191.92/192.28 ! [V_c,V_b,V_e,V_a,T_a] : % 191.92/192.28 ( class_Rings_Osemiring(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 191.92/192.28 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 191.92/192.28 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 191.92/192.28 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 191.92/192.28 ! [V_rx,V_ly,V_lx,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 191.92/192.28 ! [V_rx,V_ly,V_lx,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 191.92/192.28 ! [V_ry,V_rx,V_lx,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 191.92/192.28 ! [V_ry,V_rx,V_lx,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__left__idem,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__idem,axiom, % 191.92/192.28 ! [V_x,T_a] : % 191.92/192.28 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_times_Oidem,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Groups_Oab__semigroup__mult(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sgn__times,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sgn__sgn,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__zero__left,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Omult__zero(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__zero__right,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Omult__zero(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__eq__0__iff,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oring__no__zero__divisors(T_b) % 191.92/192.28 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_no__zero__divisors,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ono__zero__divisors(T_a) % 191.92/192.28 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_divisors__zero,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ono__zero__divisors(T_a) % 191.92/192.28 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult_Ocomm__neutral,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Groups_Ocomm__monoid__mult(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__1__right,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__1,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Groups_Ocomm__monoid__mult(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__1__left,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__0,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__0__right,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__is__0,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.28 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__cancel1,axiom, % 191.92/192.28 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.28 ( 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) % 191.92/192.28 <=> ( V_m_2 = V_na_2 % 191.92/192.28 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__cancel2,axiom, % 191.92/192.28 ! [V_na_2,V_k_2,V_m_2] : % 191.92/192.28 ( 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) % 191.92/192.28 <=> ( V_m_2 = V_na_2 % 191.92/192.28 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__mult__right,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oring(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__mult__left,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oring(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__mult__commute,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oring(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_minus__mult__minus,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oring(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_square__eq__iff,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oidom(T_b) % 191.92/192.28 => ( 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) % 191.92/192.28 <=> ( V_a_2 = V_b_2 % 191.92/192.28 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_Suc__mult__cancel1,axiom, % 191.92/192.28 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.28 ( 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) % 191.92/192.28 <=> V_m_2 = V_na_2 ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zpower__zadd__distrib,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__mult__distrib2,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__mult__distrib,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__mult__distrib,axiom, % 191.92/192.28 ! [V_n,V_b,V_a,T_a] : % 191.92/192.28 ( class_Groups_Ocomm__monoid__mult(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__commutes,axiom, % 191.92/192.28 ! [V_n,V_a,T_a] : % 191.92/192.28 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 191.92/192.28 ! [V_q,V_y,V_x,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__square,axiom, % 191.92/192.28 ! [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))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_le__cube,axiom, % 191.92/192.28 ! [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)))) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__le__mono1,axiom, % 191.92/192.28 ! [V_k,V_j,V_i] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__le__mono2,axiom, % 191.92/192.28 ! [V_k,V_j,V_i] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__le__mono,axiom, % 191.92/192.28 ! [V_l,V_k,V_j,V_i] : % 191.92/192.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_power__mult,axiom, % 191.92/192.28 ! [V_n,V_m,V_a,T_a] : % 191.92/192.28 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 191.92/192.28 ! [V_q,V_p,V_x,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__mult__distrib,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_diff__mult__distrib2,axiom, % 191.92/192.28 ! [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)) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__mult__eq__1__iff,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 191.92/192.28 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 191.92/192.28 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__mult__1__right,axiom, % 191.92/192.28 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__1__eq__mult__iff,axiom, % 191.92/192.28 ! [V_na_2,V_m_2] : % 191.92/192.28 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) % 191.92/192.28 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 191.92/192.28 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_nat__mult__1,axiom, % 191.92/192.28 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 191.92/192.28 % 191.92/192.28 fof(fact_funpow__mult,axiom, % 191.92/192.28 ! [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) ). % 191.92/192.28 % 191.92/192.28 fof(fact_fun__left__comm__idem,axiom, % 191.92/192.28 ! [T_b] : % 191.92/192.28 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 191.92/192.28 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_setsum__product,axiom, % 191.92/192.28 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.28 ( class_Rings_Osemiring__0(T_b) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_setsum__left__distrib,axiom, % 191.92/192.28 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.28 ( class_Rings_Osemiring__0(T_b) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_setsum__right__distrib,axiom, % 191.92/192.28 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 191.92/192.28 ( class_Rings_Osemiring__0(T_b) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sgn__0__0,axiom, % 191.92/192.28 ! [V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.28 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sgn0,axiom, % 191.92/192.28 ! [T_a] : % 191.92/192.28 ( class_Groups_Osgn__if(T_a) % 191.92/192.28 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__le__square,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__ring(T_a) % 191.92/192.28 => 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__le__mult__iff,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 191.92/192.28 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__le__0__iff,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.28 => ( 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))) % 191.92/192.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 191.92/192.28 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__nonneg__nonneg,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__cancel__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__nonneg__nonpos,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__cancel__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__nonneg__nonpos2,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__cancel__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__nonpos__nonneg,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__cancel__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__nonpos__nonpos,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__ring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__right__mono,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__left__mono,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__mult__left__mono,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__comm__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__right__mono__neg,axiom, % 191.92/192.28 ! [V_c,V_a,V_b,T_a] : % 191.92/192.28 ( class_Rings_Oordered__ring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__left__mono__neg,axiom, % 191.92/192.28 ! [V_c,V_a,V_b,T_a] : % 191.92/192.28 ( class_Rings_Oordered__ring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__mono_H,axiom, % 191.92/192.28 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__mono,axiom, % 191.92/192.28 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__semiring(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_split__mult__pos__le,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__ring(T_a) % 191.92/192.28 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 191.92/192.28 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_split__mult__neg__le,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Oordered__cancel__semiring(T_a) % 191.92/192.28 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 191.92/192.28 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 191.92/192.28 => 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))) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__strict__left__mono__neg,axiom, % 191.92/192.28 ! [V_c,V_a,V_b,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__strict__right__mono__neg,axiom, % 191.92/192.28 ! [V_c,V_a,V_b,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__mult__strict__left__mono,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__strict__left__mono,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__strict__right__mono,axiom, % 191.92/192.28 ! [V_c,V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__neg__neg,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__neg__pos,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__less__cancel__left__neg,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__less__mult__pos2,axiom, % 191.92/192.28 ! [V_a,V_b,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( 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))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_zero__less__mult__pos,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( 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))) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__pos__neg2,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__pos__neg,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__pos__pos,axiom, % 191.92/192.28 ! [V_b,V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__less__cancel__left__pos,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2))) % 191.92/192.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__less__cancel__left__disj,axiom, % 191.92/192.28 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2))) % 191.92/192.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 191.92/192.28 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_mult__less__cancel__right__disj,axiom, % 191.92/192.28 ! [V_b_2,V_ca_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2))) % 191.92/192.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 191.92/192.28 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_not__square__less__zero,axiom, % 191.92/192.28 ! [V_a,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__ring(T_a) % 191.92/192.28 => ~ 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))) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_add__scale__eq__noteq,axiom, % 191.92/192.28 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 191.92/192.28 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 191.92/192.28 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.28 => ( ( V_a = V_b % 191.92/192.28 & V_c != V_d ) % 191.92/192.28 => 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)) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_sum__squares__eq__zero__iff,axiom, % 191.92/192.28 ! [V_y_2,V_x_2,T_b] : % 191.92/192.28 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.28 => ( 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) % 191.92/192.28 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.28 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_less__1__mult,axiom, % 191.92/192.28 ! [V_n,V_m,T_a] : % 191.92/192.28 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 191.92/192.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 191.92/192.28 => 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))) ) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_eq__add__iff2,axiom, % 191.92/192.28 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oring(T_b) % 191.92/192.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 191.92/192.28 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_eq__add__iff1,axiom, % 191.92/192.28 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] : % 191.92/192.28 ( class_Rings_Oring(T_b) % 191.92/192.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 191.92/192.28 <=> 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_ca_2) = V_d_2 ) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 191.92/192.28 ! [V_m,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 191.92/192.28 ! [V_a,V_m,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 191.92/192.28 ! [V_m,V_a,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 191.92/192.28 ! [V_x,T_a] : % 191.92/192.28 ( class_Rings_Ocomm__ring__1(T_a) % 191.92/192.28 => 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) ) ). % 191.92/192.28 % 191.92/192.28 fof(fact_square__eq__1__iff,axiom, % 191.92/192.28 ! [V_x_2,T_b] : % 191.92/192.28 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 191.92/192.29 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 191.92/192.29 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 191.92/192.29 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__eq__1__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( 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)) % 191.92/192.29 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 191.92/192.29 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__less__mono2,axiom, % 191.92/192.29 ! [V_k,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__less__mono1,axiom, % 191.92/192.29 ! [V_k,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__less__cancel2,axiom, % 191.92/192.29 ! [V_na_2,V_k_2,V_m_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__less__cancel1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__0__less__mult__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Suc__mult__less__cancel1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__Suc2,axiom, % 191.92/192.29 ! [V_n,V_a,T_a] : % 191.92/192.29 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__Suc,axiom, % 191.92/192.29 ! [V_n,V_a,T_a] : % 191.92/192.29 ( class_Power_Opower(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 191.92/192.29 ! [V_q,V_x,T_a] : % 191.92/192.29 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 191.92/192.29 ! [V_q,V_x,T_a] : % 191.92/192.29 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 191.92/192.29 ! [V_q,V_x,T_a] : % 191.92/192.29 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__Suc,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__Suc__right,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__add,axiom, % 191.92/192.29 ! [V_n,V_m,V_a,T_a] : % 191.92/192.29 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 191.92/192.29 ! [V_q,V_p,V_x,T_a] : % 191.92/192.29 ( class_Rings_Ocomm__semiring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Suc__mult__le__cancel1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__eq__self__implies__10,axiom, % 191.92/192.29 ! [V_n,V_m] : % 191.92/192.29 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 191.92/192.29 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 191.92/192.29 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Ints__mult,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Oring__1(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 191.92/192.29 => 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))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nats__mult,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 191.92/192.29 => 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))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__case__0,axiom, % 191.92/192.29 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__case__Suc,axiom, % 191.92/192.29 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__le__cancel__left__pos,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__le__cancel__left__neg,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__strict__mono,axiom, % 191.92/192.29 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => 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))) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__strict__mono_H,axiom, % 191.92/192.29 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => 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))) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__less__le__imp__less,axiom, % 191.92/192.29 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => 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))) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__le__less__imp__less,axiom, % 191.92/192.29 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => 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))) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__right__less__imp__less,axiom, % 191.92/192.29 ! [V_b,V_c,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring(T_a) % 191.92/192.29 => ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__less__imp__less__right,axiom, % 191.92/192.29 ! [V_b,V_c,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__left__less__imp__less,axiom, % 191.92/192.29 ! [V_b,V_a,V_c,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring(T_a) % 191.92/192.29 => ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__less__imp__less__left,axiom, % 191.92/192.29 ! [V_b,V_a,V_c,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__right__le__imp__le,axiom, % 191.92/192.29 ! [V_b,V_c,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__left__le__imp__le,axiom, % 191.92/192.29 ! [V_b,V_a,V_c,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__strict(T_a) % 191.92/192.29 => ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sum__squares__le__zero__iff,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.29 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sum__squares__ge__zero,axiom, % 191.92/192.29 ! [V_y,V_x,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__ring(T_a) % 191.92/192.29 => 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)))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_not__sum__squares__lt__zero,axiom, % 191.92/192.29 ! [V_y,V_x,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__ring(T_a) % 191.92/192.29 => ~ 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sum__squares__gt__zero__iff,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__ring__strict(T_b) % 191.92/192.29 => ( 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),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)))) % 191.92/192.29 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.29 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__right__le__one__le,axiom, % 191.92/192.29 ! [V_y,V_x,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__left__le__one__le,axiom, % 191.92/192.29 ! [V_y,V_x,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_le__add__iff2,axiom, % 191.92/192.29 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Oordered__ring(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_le__add__iff1,axiom, % 191.92/192.29 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Oordered__ring(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 191.92/192.29 <=> 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_ca_2)),V_d_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_less__add__iff2,axiom, % 191.92/192.29 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Oordered__ring(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_less__add__iff1,axiom, % 191.92/192.29 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Oordered__ring(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 191.92/192.29 <=> 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_ca_2)),V_d_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sgn__less,axiom, % 191.92/192.29 ! [V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sgn__greater,axiom, % 191.92/192.29 ! [V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__gt1__lemma,axiom, % 191.92/192.29 ! [V_n,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.29 => 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)))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__less__power__Suc,axiom, % 191.92/192.29 ! [V_n,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 191.92/192.29 => 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)))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_one__less__mult,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( 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)) % 191.92/192.29 => ( 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)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_n__less__n__mult__m,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( 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)) % 191.92/192.29 => ( 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)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_n__less__m__mult__n,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( 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)) % 191.92/192.29 => ( 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)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__minus,axiom, % 191.92/192.29 ! [V_n,V_a,T_a] : % 191.92/192.29 ( class_Rings_Oring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_one__le__mult__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> ( 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)) % 191.92/192.29 & 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__le__cancel1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__le__cancel2,axiom, % 191.92/192.29 ! [V_na_2,V_k_2,V_m_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_fold__graph__insert__swap,axiom, % 191.92/192.29 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 191.92/192.29 ( class_Groups_Oab__semigroup__mult(T_b) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2)) % 191.92/192.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 191.92/192.29 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_fold__image__distrib,axiom, % 191.92/192.29 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_convex__bound__le,axiom, % 191.92/192.29 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__1(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 191.92/192.29 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 191.92/192.29 => 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)) ) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__Suc__less,axiom, % 191.92/192.29 ! [V_n,V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 191.92/192.29 => 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))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_fold__image__insert,axiom, % 191.92/192.29 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Oab__semigroup__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_mult__eq__if,axiom, % 191.92/192.29 ! [V_n,V_m] : % 191.92/192.29 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.29 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__eq__if,axiom, % 191.92/192.29 ! [V_p,V_m] : % 191.92/192.29 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 191.92/192.29 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => 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)))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sgn__pos,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.29 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sgn__1__pos,axiom, % 191.92/192.29 ! [V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.29 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_max__Suc2,axiom, % 191.92/192.29 ! [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)) = 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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_max__Suc1,axiom, % 191.92/192.29 ! [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) = 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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_convex__bound__lt,axiom, % 191.92/192.29 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 191.92/192.29 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 191.92/192.29 => 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)) ) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_fold__graph__permute__diff,axiom, % 191.92/192.29 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 191.92/192.29 ( class_Groups_Oab__semigroup__mult(T_b) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 191.92/192.29 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_fold__image__Un__Int,axiom, % 191.92/192.29 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.29 => 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))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_fold__image__reindex,axiom, % 191.92/192.29 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 191.92/192.29 ( class_Groups_Oab__semigroup__mult(T_d) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 191.92/192.29 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_diff__Suc,axiom, % 191.92/192.29 ! [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)) = 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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sgn__1__neg,axiom, % 191.92/192.29 ! [V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.29 => ( 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)) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_sgn__neg,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.29 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__less__add__iff2,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__less__add__iff1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__eq__add__iff2,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__diff__add__eq2,axiom, % 191.92/192.29 ! [V_n,V_m,V_u,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__le__add__iff2,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_pos__zmult__eq__1__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 191.92/192.29 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 191.92/192.29 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 191.92/192.29 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__1,axiom, % 191.92/192.29 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__1__right,axiom, % 191.92/192.29 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiff__zmult__distrib2,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiff__zmult__distrib,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__zmult__distrib2,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__zmult__distrib,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__assoc,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__commute,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__zminus,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__zless__mono2,axiom, % 191.92/192.29 ! [V_k,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__assoc,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__commute,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zpower__zpower,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__eq__cancel__disj,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( 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) % 191.92/192.29 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 | V_m_2 = V_na_2 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_left__add__mult__distrib,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 191.92/192.29 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__eq__cancel1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> V_m_2 = V_na_2 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__less__cancel1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__le__cancel1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_k_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__le__add__iff1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__diff__add__eq1,axiom, % 191.92/192.29 ! [V_n,V_m,V_u,V_i,V_j] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__eq__add__iff1,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> 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 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__multicount,axiom, % 191.92/192.29 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 191.92/192.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 191.92/192.29 => ( ! [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 191.92/192.29 => 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 ) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__power__power,axiom, % 191.92/192.29 ! [T_b] : % 191.92/192.29 ( class_Power_Opower(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_fold__image__Un__one,axiom, % 191.92/192.29 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 191.92/192.29 => ( ! [B_x] : % 191.92/192.29 ( 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))) % 191.92/192.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_arith__series__nat,axiom, % 191.92/192.29 ! [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)))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__gen__delta,axiom, % 191.92/192.29 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.29 => 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_ca_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_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.29 => 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_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__lessThan,axiom, % 191.92/192.29 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__0__less__1,axiom, % 191.92/192.29 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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__0__neq__1,axiom, % 191.92/192.29 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__one__le__iff__zero__less,axiom, % 191.92/192.29 ! [V_z_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__diff1__eq,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( 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)))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_le__imp__0__less,axiom, % 191.92/192.29 ! [V_z] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__add1__eq__le,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( 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)))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_add1__zle__eq,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( 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)) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__imp__add1__zle,axiom, % 191.92/192.29 ! [V_z,V_w] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_odd__nonzero,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__add1__eq,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( 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)))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 191.92/192.29 | V_w_2 = V_z_2 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_odd__less__0,axiom, % 191.92/192.29 ! [V_z_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_less__bin__lemma,axiom, % 191.92/192.29 ! [V_l_2,V_k_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 191.92/192.29 <=> 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_diff__int__def__symmetric,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_diff__int__def,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__strict__right__mono,axiom, % 191.92/192.29 ! [V_k,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zminus__zadd__distrib,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__zminus__inverse2,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__commute,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__left__commute,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__assoc,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__0__right,axiom, % 191.92/192.29 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__0,axiom, % 191.92/192.29 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__left__mono,axiom, % 191.92/192.29 ! [V_k,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__zless__mono,axiom, % 191.92/192.29 ! [V_z,V_z_H,V_w,V_w_H] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__le,axiom, % 191.92/192.29 ! [V_w_2,V_z_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 191.92/192.29 & V_z_2 != V_w_2 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zminus__0,axiom, % 191.92/192.29 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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zminus__zminus,axiom, % 191.92/192.29 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__linear,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 191.92/192.29 | V_x = V_y % 191.92/192.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_lessThan__eq__iff,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 191.92/192.29 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zsgn__def,axiom, % 191.92/192.29 ! [V_i] : % 191.92/192.29 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 191.92/192.29 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 191.92/192.29 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__timesf,axiom, % 191.92/192.29 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__1,axiom, % 191.92/192.29 ! [V_A_2,T_c,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_b) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_lessThan__0,axiom, % 191.92/192.29 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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_lessThan__Suc,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_card__lessThan,axiom, % 191.92/192.29 ! [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 ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__zero__iff,axiom, % 191.92/192.29 ! [V_f_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( ( class_Rings_Ocomm__semiring__1(T_c) % 191.92/192.29 & class_Rings_Ono__zero__divisors(T_c) ) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> ? [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.29 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__zero,axiom, % 191.92/192.29 ! [V_f_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Rings_Ocomm__semiring__1(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( ? [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.29 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 191.92/192.29 => 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) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__empty,axiom, % 191.92/192.29 ! [V_f_2,T_c,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_b) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Oempty,axiom, % 191.92/192.29 ! [V_g_2,T_c,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_b) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Oinfinite,axiom, % 191.92/192.29 ! [V_g_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__infinite,axiom, % 191.92/192.29 ! [V_f_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__eq__1__iff,axiom, % 191.92/192.29 ! [V_f_2,V_F_2,T_b] : % 191.92/192.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> ! [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 191.92/192.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_UN__lessThan__UNIV,axiom, % 191.92/192.29 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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Odistrib,axiom, % 191.92/192.29 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 191.92/192.29 ! [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(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__pos__nat__iff,axiom, % 191.92/192.29 ! [V_f_2,V_S_2,T_b] : % 191.92/192.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> ! [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 191.92/192.29 => 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))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__reindex,axiom, % 191.92/192.29 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_d) % 191.92/192.29 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2)),V_B_2) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__reindex__cong,axiom, % 191.92/192.29 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_d) % 191.92/192.29 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.29 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 191.92/192.29 => ( V_g_2 = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2) % 191.92/192.29 => 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) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__lessThan__Suc,axiom, % 191.92/192.29 ! [V_na_2,V_f_2,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__reindex__id,axiom, % 191.92/192.29 ! [V_B_2,V_f_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 191.92/192.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_lessThan__iff,axiom, % 191.92/192.29 ! [V_k_2,V_i_2,T_b] : % 191.92/192.29 ( class_Orderings_Oord(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__delta,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.29 => 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) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.29 => 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) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__delta_H,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.29 => 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) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 191.92/192.29 => 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) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_lessThan__subset__iff,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__constant,axiom, % 191.92/192.29 ! [V_y_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power_Opower_Opower__0,axiom, % 191.92/192.29 ! [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 ). % 191.92/192.29 % 191.92/192.29 fof(fact_power_Opower_Opower__Suc,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_lessThan__strict__subset__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Oinsert,axiom, % 191.92/192.29 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__insert,axiom, % 191.92/192.29 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Ounion__inter,axiom, % 191.92/192.29 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__Un__Int,axiom, % 191.92/192.29 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Oreindex,axiom, % 191.92/192.29 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 191.92/192.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_b),V_g_2),V_h_2)),V_A_2) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Oeq__fold,axiom, % 191.92/192.29 ! [V_g_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_OF__eq,axiom, % 191.92/192.29 ! [V_g_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Oinsert__remove,axiom, % 191.92/192.29 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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)))))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__Un__disjoint,axiom, % 191.92/192.29 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.29 => ( 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)) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Ounion__disjoint,axiom, % 191.92/192.29 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.29 => ( 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)) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_single__Diff__lessThan,axiom, % 191.92/192.29 ! [V_k_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Oremove,axiom, % 191.92/192.29 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.29 => 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)))))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_self__quotient__aux1,axiom, % 191.92/192.29 ! [V_q,V_r,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 191.92/192.29 => ( 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)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_self__quotient__aux2,axiom, % 191.92/192.29 ! [V_q,V_r,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 191.92/192.29 => ( 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)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_q__pos__lemma,axiom, % 191.92/192.29 ! [V_r_H,V_q_H,V_b_H] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_q__neg__lemma,axiom, % 191.92/192.29 ! [V_r_H,V_q_H,V_b_H] : % 191.92/192.29 ( 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_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_unique__quotient__lemma,axiom, % 191.92/192.29 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 191.92/192.29 ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__antisym,axiom, % 191.92/192.29 ! [V_w,V_z] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 191.92/192.29 => V_z = V_w ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__trans,axiom, % 191.92/192.29 ! [V_k,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__linear,axiom, % 191.92/192.29 ! [V_w,V_z] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 191.92/192.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__refl,axiom, % 191.92/192.29 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__mono2__neg__lemma,axiom, % 191.92/192.29 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 191.92/192.29 ( 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) % 191.92/192.29 => ( 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_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_unique__quotient__lemma__neg,axiom, % 191.92/192.29 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 191.92/192.29 ( 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))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__mono2__lemma,axiom, % 191.92/192.29 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 191.92/192.29 ( 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) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 191.92/192.29 ! [V_n,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 191.92/192.29 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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 191.92/192.29 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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_arith__series__general,axiom, % 191.92/192.29 ! [V_na_2,V_d_2,V_a_2,T_b] : % 191.92/192.29 ( class_Rings_Ocomm__semiring__1(T_b) % 191.92/192.29 => 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)))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__Un__one,axiom, % 191.92/192.29 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 191.92/192.29 => ( ! [B_x] : % 191.92/192.29 ( 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))) % 191.92/192.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod_Ounion__inter__neutral,axiom, % 191.92/192.29 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.29 => ( ! [B_x] : % 191.92/192.29 ( 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))) % 191.92/192.29 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 191.92/192.29 => 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)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_tsub__def,axiom, % 191.92/192.29 ! [V_x,V_y] : % 191.92/192.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 191.92/192.29 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 191.92/192.29 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_negative__zle,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_negative__zless,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 191.92/192.29 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 191.92/192.29 ! [V_A_2,V_x_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__eq__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,T_b] : % 191.92/192.29 ( class_Nat_Osemiring__char__0(T_b) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> V_m_2 = V_na_2 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_inj__int,axiom, % 191.92/192.29 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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 191.92/192.29 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 191.92/192.29 ! [V_A_2] : % 191.92/192.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 191.92/192.29 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__setsum,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__setprod,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__0,axiom, % 191.92/192.29 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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__eq__0__conv,axiom, % 191.92/192.29 ! [V_na_2] : % 191.92/192.29 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 191.92/192.29 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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zero__zle__int,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 191.92/192.29 ! [V_Pa_2] : % 191.92/192.29 ( ! [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.29 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 191.92/192.29 ! [V_Pa_2] : % 191.92/192.29 ( ? [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 191.92/192.29 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 191.92/192.29 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__less__0__conv,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__int,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 191.92/192.29 ! [V_y_2,V_x_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__int,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 191.92/192.29 ! [V_y_2,V_x_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__int__left,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zadd__int,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zle__iff__zadd,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 191.92/192.29 <=> ? [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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__0__le__iff,axiom, % 191.92/192.29 ! [V_n,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zero__le__imp__of__nat,axiom, % 191.92/192.29 ! [V_m,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_negative__eq__positive,axiom, % 191.92/192.29 ! [V_m_2,V_na_2] : % 191.92/192.29 ( 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) % 191.92/192.29 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__less__0__iff,axiom, % 191.92/192.29 ! [V_m,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => ~ 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_not__int__zless__negative,axiom, % 191.92/192.29 ! [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)))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__int,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__mult,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__0,axiom, % 191.92/192.29 ! [T_a] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__less__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_less__imp__of__nat__less,axiom, % 191.92/192.29 ! [V_n,V_m,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__less__imp__less,axiom, % 191.92/192.29 ! [V_n,V_m,T_a] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_a) % 191.92/192.29 => ( 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))) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__1,axiom, % 191.92/192.29 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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 191.92/192.29 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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__le__iff,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__add,axiom, % 191.92/192.29 ! [V_n,V_m,T_a] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__mult,axiom, % 191.92/192.29 ! [V_n,V_m,T_a] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__1,axiom, % 191.92/192.29 ! [T_a] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Ints__of__nat,axiom, % 191.92/192.29 ! [V_na_2,T_b] : % 191.92/192.29 ( class_Rings_Oring__1(T_b) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__power,axiom, % 191.92/192.29 ! [V_n,V_m,T_a] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zpower__int,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__power,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__in__Nats,axiom, % 191.92/192.29 ! [V_na_2,T_b] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_b) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__setsum,axiom, % 191.92/192.29 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_b) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_inj__of__nat,axiom, % 191.92/192.29 ! [T_b] : % 191.92/192.29 ( class_Nat_Osemiring__char__0(T_b) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__le__0__conv,axiom, % 191.92/192.29 ! [V_na_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__Suc0__eq__1,axiom, % 191.92/192.29 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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__iff__Suc__zadd,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 191.92/192.29 <=> ? [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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__zle__neg,axiom, % 191.92/192.29 ! [V_m_2,V_na_2] : % 191.92/192.29 ( 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)))) % 191.92/192.29 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__Suc,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_negative__zle__0,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__setprod,axiom, % 191.92/192.29 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.29 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 191.92/192.29 & class_Rings_Osemiring__1(T_b) ) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiff__int,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__Suc,axiom, % 191.92/192.29 ! [V_m,T_a] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__diff,axiom, % 191.92/192.29 ! [V_m,V_n,T_a] : % 191.92/192.29 ( class_Rings_Oring__1(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 191.92/192.29 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__constant,axiom, % 191.92/192.29 ! [V_A_2,V_y_2,T_c,T_b] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_b) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zero__less__int__conv,axiom, % 191.92/192.29 ! [V_na_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zmult__zless__mono2__lemma,axiom, % 191.92/192.29 ! [V_k,V_j,V_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_not__zle__0__negative,axiom, % 191.92/192.29 ! [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))))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_negative__zless__0,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_of__nat__0__less__iff,axiom, % 191.92/192.29 ! [V_na_2,T_b] : % 191.92/192.29 ( class_Rings_Olinordered__semidom(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_tsub__eq,axiom, % 191.92/192.29 ! [V_x,V_y] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 191.92/192.29 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 191.92/192.29 ! [V_na_2,T_b] : % 191.92/192.29 ( class_Rings_Osemiring__1(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiff__int__split,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,V_Pa_2] : % 191.92/192.29 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 191.92/192.29 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 191.92/192.29 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__bounded,axiom, % 191.92/192.29 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 191.92/192.29 & class_Rings_Osemiring__1(T_c) ) % 191.92/192.29 => ( ! [B_i] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 191.92/192.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 191.92/192.29 ! [V_x_2,V_y_2,V_ca_2] : % 191.92/192.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 191.92/192.29 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 191.92/192.29 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 191.92/192.29 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__power__div__base,axiom, % 191.92/192.29 ! [V_k,V_m] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 191.92/192.29 => 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)))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__atLeastLessThan,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 191.92/192.29 ! [V_B_2,V_A_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 191.92/192.29 ! [V_B_2,V_A_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 191.92/192.29 ! [V_B_2,V_A_2] : % 191.92/192.29 ( V_A_2 = V_B_2 % 191.92/192.29 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 191.92/192.29 ! [V_y_2,V_x_2] : % 191.92/192.29 ( 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) % 191.92/192.29 <=> V_x_2 = V_y_2 ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__int__eq,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( 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) % 191.92/192.29 <=> V_m_2 = V_na_2 ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__by__1,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__zminus2,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__zminus__zminus,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__by__0,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__0,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__zero,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_infinite__UNIV__int,axiom, % 191.92/192.29 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 191.92/192.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 191.92/192.29 => V_b_2 = V_d_2 ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 191.92/192.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 191.92/192.29 => V_a_2 = V_ca_2 ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__eq__iff,axiom, % 191.92/192.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 191.92/192.29 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2) % 191.92/192.29 <=> ( V_a_2 = V_ca_2 % 191.92/192.29 & V_b_2 = V_d_2 ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 191.92/192.29 ! [V_a_2,V_b_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 191.92/192.29 ! [V_a_2,V_b_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__neg__pos__less0,axiom, % 191.92/192.29 ! [V_b,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__add__Un,axiom, % 191.92/192.29 ! [V_k_2,V_j_2,V_i_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__self,axiom, % 191.92/192.29 ! [V_a] : % 191.92/192.29 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan0,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeast0LessThan,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__mult1,axiom, % 191.92/192.29 ! [V_b,V_a,V_c,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__mult2,axiom, % 191.92/192.29 ! [V_b,V_a,V_c,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__self1__is__id,axiom, % 191.92/192.29 ! [V_a,V_b,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__self2__is__id,axiom, % 191.92/192.29 ! [V_a,V_b,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__mult1__if,axiom, % 191.92/192.29 ! [V_b,V_a,V_c,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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) ) % 191.92/192.29 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__self,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_subset__card__intvl__is__intvl,axiom, % 191.92/192.29 ! [V_k_2,V_A_2] : % 191.92/192.29 ( 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))))) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_card__atLeastLessThan,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_image__Suc__atLeastLessThan,axiom, % 191.92/192.29 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__empty,axiom, % 191.92/192.29 ! [V_a_2,V_b_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__empty__iff2,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__empty__iff,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => ( 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)) % 191.92/192.29 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__subset__iff,axiom, % 191.92/192.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( 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_ca_2),V_d_2))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 191.92/192.29 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_f_2,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__un_I17_J,axiom, % 191.92/192.29 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 191.92/192.29 => 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) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 191.92/192.29 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__diff,axiom, % 191.92/192.29 ! [V_m_2,V_na_2,V_i_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__int_I11_J,axiom, % 191.92/192.29 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_image__add__atLeastLessThan,axiom, % 191.92/192.29 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__mono1__neg,axiom, % 191.92/192.29 ! [V_b,V_a_H,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__mono1,axiom, % 191.92/192.29 ! [V_b,V_a_H,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__neg__neg__trivial,axiom, % 191.92/192.29 ! [V_b,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__mono2__neg,axiom, % 191.92/192.29 ! [V_b,V_b_H,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 191.92/192.29 => 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))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__nonpos__pos__le0,axiom, % 191.92/192.29 ! [V_b,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 191.92/192.29 ! [V_a_2,V_b_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__pos__pos__trivial,axiom, % 191.92/192.29 ! [V_b,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__nonneg__neg__le0,axiom, % 191.92/192.29 ! [V_b,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__mono2,axiom, % 191.92/192.29 ! [V_b,V_b_H,V_a] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 191.92/192.29 => 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))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 191.92/192.29 ! [V_b_2,V_a_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 191.92/192.29 ! [V_i_2,V_k_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 191.92/192.29 ! [V_a_2,V_b_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__eq__0__iff,axiom, % 191.92/192.29 ! [V_k_2,V_i_2] : % 191.92/192.29 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 191.92/192.29 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__div__less__self,axiom, % 191.92/192.29 ! [V_k,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__zmult2__eq,axiom, % 191.92/192.29 ! [V_b,V_a,V_c] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__add__nat__ivl,axiom, % 191.92/192.29 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__diff__nat__ivl,axiom, % 191.92/192.29 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 191.92/192.29 ( class_Groups_Oab__group__add(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__self1,axiom, % 191.92/192.29 ! [V_c,V_a,V_b,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__self2,axiom, % 191.92/192.29 ! [V_c,V_a,V_b,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__add__self1,axiom, % 191.92/192.29 ! [V_a,V_b,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__add__self2,axiom, % 191.92/192.29 ! [V_a,V_b,T_a] : % 191.92/192.29 ( class_Divides_Osemiring__div(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThan__singleton,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_UN__UN__finite__eq,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Int__atLeastLessThan,axiom, % 191.92/192.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => 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_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__un_I8_J,axiom, % 191.92/192.29 ! [V_u_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__int_I2_J,axiom, % 191.92/192.29 ! [V_u_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 191.92/192.29 ! [V_k_2,V_f_2,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__head__upt__Suc,axiom, % 191.92/192.29 ! [V_f_2,V_na_2,V_m_2,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastLessThanSuc,axiom, % 191.92/192.29 ! [V_na_2,V_m_2] : % 191.92/192.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.29 => 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)) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__op__ivl__Suc,axiom, % 191.92/192.29 ! [V_f_2,V_m_2,V_na_2,T_b] : % 191.92/192.29 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 191.92/192.29 => 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) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_divmod__int__rel__div__eq,axiom, % 191.92/192.29 ! [V_r_1,V_y,V_b_1,V_a_1] : % 191.92/192.29 ( 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) % 191.92/192.29 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 191.92/192.29 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_split__zdiv,axiom, % 191.92/192.29 ! [V_k_2,V_na_2,V_Pa_2] : % 191.92/192.29 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2))) % 191.92/192.29 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 191.92/192.29 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 191.92/192.29 => ! [B_i] : % 191.92/192.29 ( ? [B_j] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 191.92/192.29 & 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) ) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 191.92/192.29 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => ! [B_i] : % 191.92/192.29 ( ? [B_j] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 & 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) ) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ex__nat__less__eq,axiom, % 191.92/192.29 ! [V_Pa_2,V_na_2] : % 191.92/192.29 ( ? [B_m] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 191.92/192.29 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 191.92/192.29 <=> ? [B_x] : % 191.92/192.29 ( 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))) % 191.92/192.29 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_all__nat__less__eq,axiom, % 191.92/192.29 ! [V_Pa_2,V_na_2] : % 191.92/192.29 ( ! [B_m] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 191.92/192.29 <=> ! [B_x] : % 191.92/192.29 ( 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))) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_z3div__def,axiom, % 191.92/192.29 ! [V_k,V_l] : % 191.92/192.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 191.92/192.29 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_UN__finite2__subset,axiom, % 191.92/192.29 ! [V_B_2,V_k_2,V_A_2,T_b] : % 191.92/192.29 ( ! [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))) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__atLeastLessThan__int,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__le__dividend,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__le__mono,axiom, % 191.92/192.29 ! [V_k,V_n,V_m] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.29 => 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))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult2__eq,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__1,axiom, % 191.92/192.29 ! [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 ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__less,axiom, % 191.92/192.29 ! [V_n,V_m] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__div__cancel__disj,axiom, % 191.92/192.29 ! [V_n,V_m,V_k] : % 191.92/192.29 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => 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) ) % 191.92/192.29 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zdiv__int,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__le__mono2,axiom, % 191.92/192.29 ! [V_k,V_n,V_m] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 191.92/192.29 => 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))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__self1__is__m,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.29 => 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 ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__mult__self__is__m,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.29 => 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 ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__div__cancel1,axiom, % 191.92/192.29 ! [V_n,V_m,V_k] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__less__dividend,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__geq,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.29 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_div__if,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_split__div,axiom, % 191.92/192.29 ! [V_k_2,V_na_2,V_Pa_2] : % 191.92/192.29 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2))) % 191.92/192.29 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 191.92/192.29 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 => ! [B_i,B_j] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 191.92/192.29 => ( 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) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_image__add__int__atLeastLessThan,axiom, % 191.92/192.29 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ). % 191.92/192.29 % 191.92/192.29 fof(fact_le__div__geq,axiom, % 191.92/192.29 ! [V_m,V_n] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_split__div_H,axiom, % 191.92/192.29 ! [V_na_2,V_m_2,V_Pa_2] : % 191.92/192.29 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2))) % 191.92/192.29 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 191.92/192.29 | ? [B_q] : % 191.92/192.29 ( 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)) % 191.92/192.29 & 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)))) % 191.92/192.29 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_split__div__lemma,axiom, % 191.92/192.29 ! [V_m_2,V_q_2,V_na_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 191.92/192.29 => ( ( 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)) % 191.92/192.29 & 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)))) ) % 191.92/192.29 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_length__sublist,axiom, % 191.92/192.29 ! [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)))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_UN__finite2__eq,axiom, % 191.92/192.29 ! [V_B_2,V_k_2,V_A_2,T_b] : % 191.92/192.29 ( ! [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) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_UN__finite__subset,axiom, % 191.92/192.29 ! [V_C_2,V_A_2,T_b] : % 191.92/192.29 ( ! [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)) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__un_I3_J,axiom, % 191.92/192.29 ! [V_u_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__greaterThanLessThan,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__greaterThanLessThan__int,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_neq__if__length__neq,axiom, % 191.92/192.29 ! [V_ys,V_xs,T_a] : % 191.92/192.29 ( 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) % 191.92/192.29 => V_xs != V_ys ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThanLessThan__empty,axiom, % 191.92/192.29 ! [V_k_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_image__uminus__greaterThanLessThan,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,T_b] : % 191.92/192.29 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__int_I9_J,axiom, % 191.92/192.29 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Int__greaterThanLessThan,axiom, % 191.92/192.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => 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_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_card__greaterThanLessThan,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__un_I15_J,axiom, % 191.92/192.29 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 191.92/192.29 => 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) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__un_I4_J,axiom, % 191.92/192.29 ! [V_u_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__diff1,axiom, % 191.92/192.29 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Fields_Ofield(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 191.92/192.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.29 => 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)) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.29 => 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) ) ) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_image__atLeastZeroLessThan__int,axiom, % 191.92/192.29 ! [V_u_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 191.92/192.29 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThan__0,axiom, % 191.92/192.29 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__greaterThanAtMost,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_finite__greaterThanAtMost__int,axiom, % 191.92/192.29 ! [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))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__un_I11_J,axiom, % 191.92/192.29 ! [V_u_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__int,axiom, % 191.92/192.29 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 191.92/192.29 % 191.92/192.29 fof(fact_minus__divide__left,axiom, % 191.92/192.29 ! [V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_divide__zero__left,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_divide__zero,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_add__divide__distrib,axiom, % 191.92/192.29 ! [V_c,V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_diff__divide__distrib,axiom, % 191.92/192.29 ! [V_c,V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_divide__1,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThan__eq__iff,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 191.92/192.29 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__divide,axiom, % 191.92/192.29 ! [V_n,V_b,V_a,T_a] : % 191.92/192.29 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_times__divide__eq__right,axiom, % 191.92/192.29 ! [V_c,V_b,V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_card__greaterThanAtMost__int,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__int_I5_J,axiom, % 191.92/192.29 ! [V_u_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setsum__divide__distrib,axiom, % 191.92/192.29 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 191.92/192.29 ( class_Fields_Ofield(T_b) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_eq__divide__imp,axiom, % 191.92/192.29 ! [V_b,V_a,V_c,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 191.92/192.29 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_divide__eq__imp,axiom, % 191.92/192.29 ! [V_a,V_b,V_c,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 191.92/192.29 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nonzero__divide__eq__eq,axiom, % 191.92/192.29 ! [V_a_2,V_b_2,V_ca_2,T_b] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_b) % 191.92/192.29 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.29 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_a_2 % 191.92/192.29 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nonzero__eq__divide__eq,axiom, % 191.92/192.29 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_b) % 191.92/192.29 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.29 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) % 191.92/192.29 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_b_2 ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_right__inverse__eq,axiom, % 191.92/192.29 ! [V_a_2,V_b_2,T_b] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_b) % 191.92/192.29 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.29 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 191.92/192.29 <=> V_a_2 = V_b_2 ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_divide__self,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_divide__self__if,axiom, % 191.92/192.29 ! [V_a,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 191.92/192.29 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 191.92/192.29 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nonzero__minus__divide__right,axiom, % 191.92/192.29 ! [V_a,V_b,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nonzero__minus__divide__divide,axiom, % 191.92/192.29 ! [V_a,V_b,T_a] : % 191.92/192.29 ( class_Rings_Odivision__ring(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nonzero__power__divide,axiom, % 191.92/192.29 ! [V_n,V_a,V_b,T_a] : % 191.92/192.29 ( class_Fields_Ofield(T_a) % 191.92/192.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__0,axiom, % 191.92/192.29 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 191.92/192.29 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_eq__nat__nat__iff,axiom, % 191.92/192.29 ! [V_z_H_2,V_z_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 191.92/192.29 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 191.92/192.29 <=> V_z_2 = V_z_H_2 ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ex__nat,axiom, % 191.92/192.29 ! [V_Pa_2] : % 191.92/192.29 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 191.92/192.29 <=> ? [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 191.92/192.29 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_all__nat,axiom, % 191.92/192.29 ! [V_Pa_2] : % 191.92/192.29 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 191.92/192.29 <=> ! [B_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 191.92/192.29 ! [V_y_2,V_x_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 191.92/192.29 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 191.92/192.29 <=> V_x_2 = V_y_2 ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__one__over,axiom, % 191.92/192.29 ! [V_n,V_a,T_a] : % 191.92/192.29 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.29 => 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) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 191.92/192.29 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__int__nat__set__return__embed,axiom, % 191.92/192.29 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 191.92/192.29 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_setprod__dividef,axiom, % 191.92/192.29 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 191.92/192.29 ( class_Fields_Ofield__inverse__zero(T_c) % 191.92/192.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 191.92/192.29 ! [V_A_2,V_f_2,T_b] : % 191.92/192.29 ( ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 & class_Groups_Ocomm__monoid__mult(T_b) ) % 191.92/192.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThanAtMost__empty,axiom, % 191.92/192.29 ! [V_k_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThanAtMost__empty__iff,axiom, % 191.92/192.29 ! [V_l_2,V_k_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => ( 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)) % 191.92/192.29 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 191.92/192.29 ! [V_l_2,V_k_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => ( 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) % 191.92/192.29 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__un_I20_J,axiom, % 191.92/192.29 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 191.92/192.29 => 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) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 191.92/192.29 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_ivl__disj__int_I14_J,axiom, % 191.92/192.29 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.29 ( class_Orderings_Oorder(T_b) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__0__iff,axiom, % 191.92/192.29 ! [V_i_2] : % 191.92/192.29 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__le__0,axiom, % 191.92/192.29 ! [V_z] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__nat__conj,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mono__iff,axiom, % 191.92/192.29 ! [V_w_2,V_z_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 191.92/192.29 ! [V_y_2,V_x_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__1,axiom, % 191.92/192.29 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__0__le,axiom, % 191.92/192.29 ! [V_z] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.29 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__eq__iff,axiom, % 191.92/192.29 ! [V_z_2,V_m_2] : % 191.92/192.29 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 191.92/192.29 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 191.92/192.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_int__nat__eq,axiom, % 191.92/192.29 ! [V_z] : % 191.92/192.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.29 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.29 => 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) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zless__nat__eq__int__zless,axiom, % 191.92/192.29 ! [V_z_2,V_m_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 191.92/192.29 <=> 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)),V_z_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__zminus__int,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_card__greaterThanAtMost,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThan__iff,axiom, % 191.92/192.29 ! [V_k_2,V_i_2,T_b] : % 191.92/192.29 ( class_Orderings_Oord(T_b) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_greaterThan__subset__iff,axiom, % 191.92/192.29 ! [V_y_2,V_x_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 191.92/192.29 ! [V_A_2,V_f_2,T_b] : % 191.92/192.29 ( ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.29 & class_Groups_Ocomm__monoid__mult(T_b) ) % 191.92/192.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_card__atLeastZeroLessThan__int,axiom, % 191.92/192.29 ! [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) ). % 191.92/192.29 % 191.92/192.29 fof(fact_card__atLeastLessThan__int,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_zero__less__nat__eq,axiom, % 191.92/192.29 ! [V_z_2] : % 191.92/192.29 ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_power__diff,axiom, % 191.92/192.29 ! [V_m,V_n,V_a,T_a] : % 191.92/192.29 ( class_Fields_Ofield(T_a) % 191.92/192.29 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.29 => 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)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__less__eq__zless,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 191.92/192.29 ! [V_y_2,V_x_2] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__eq__iff2,axiom, % 191.92/192.29 ! [V_w_2,V_m_2] : % 191.92/192.29 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 191.92/192.29 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 191.92/192.29 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 191.92/192.29 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__eq__iff,axiom, % 191.92/192.29 ! [V_m_2,V_w_2] : % 191.92/192.29 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 191.92/192.29 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 191.92/192.29 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 191.92/192.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 191.92/192.29 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__le__eq__zle,axiom, % 191.92/192.29 ! [V_z_2,V_w_2] : % 191.92/192.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 191.92/192.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 191.92/192.29 => ( 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))) % 191.92/192.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_split__nat,axiom, % 191.92/192.29 ! [V_i_2,V_Pa_2] : % 191.92/192.29 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 191.92/192.29 <=> ( ! [B_n] : % 191.92/192.29 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 191.92/192.29 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.29 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__add__distrib,axiom, % 191.92/192.29 ! [V_z_H,V_z] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__mult__distrib,axiom, % 191.92/192.29 ! [V_z_H,V_z] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 191.92/192.29 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__diff__distrib,axiom, % 191.92/192.29 ! [V_z,V_z_H] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 191.92/192.29 ! [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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_INT__greaterThan__UNIV,axiom, % 191.92/192.29 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)) ). % 191.92/192.29 % 191.92/192.29 fof(fact_nat__div__distrib,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => 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)) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 191.92/192.29 ! [V_y,V_x] : % 191.92/192.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.29 => 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)) ) ) ). % 191.92/192.29 % 191.92/192.29 fof(fact_Int__greaterThanAtMost,axiom, % 191.92/192.29 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.29 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__uminus__greaterThanAtMost,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__uminus__atLeastLessThan,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 191.92/192.30 ! [V_n,V_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__power__eq,axiom, % 191.92/192.30 ! [V_n,V_z] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I10_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_card__greaterThanLessThan__int,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_one__less__nat__eq,axiom, % 191.92/192.30 ! [V_z_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__less__iff,axiom, % 191.92/192.30 ! [V_m_2,V_w_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 191.92/192.30 <=> 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 191.92/192.30 ! [V_z] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__mult__distrib__neg,axiom, % 191.92/192.30 ! [V_z_H,V_z] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__uminus__greaterThan,axiom, % 191.92/192.30 ! [V_x_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__uminus__lessThan,axiom, % 191.92/192.30 ! [V_x_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 191.92/192.30 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_greaterThan__Suc,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I16_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_geometric__sum,axiom, % 191.92/192.30 ! [V_na_2,V_x_2,T_b] : % 191.92/192.30 ( class_Fields_Ofield(T_b) % 191.92/192.30 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__left__mono__neg,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => ( 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))) % 191.92/192.30 => 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))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__left__mono,axiom, % 191.92/192.30 ! [V_c,V_a,V_b,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.30 => ( 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))) % 191.92/192.30 => 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))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__divide__le__eq,axiom, % 191.92/192.30 ! [V_a_2,V_b_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__le__divide__eq,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> 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_ca_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_times__divide__times__eq,axiom, % 191.92/192.30 ! [V_w,V_z,V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_minus__divide__divide,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_minus__divide__right,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__le__divide__iff,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 191.92/192.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__le__0__iff,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 191.92/192.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__right__mono,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__right__mono__neg,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__less__divide__iff,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 191.92/192.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__less__0__iff,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 191.92/192.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__pos__pos,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__pos__neg,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__neg__pos,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__neg__neg,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__strict__right__mono,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__strict__right__mono__neg,axiom, % 191.92/192.30 ! [V_c,V_a,V_b,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_frac__eq__eq,axiom, % 191.92/192.30 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 191.92/192.30 ( class_Fields_Ofield(T_b) % 191.92/192.30 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => ( 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) % 191.92/192.30 <=> 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) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__divide__mult__cancel__left,axiom, % 191.92/192.30 ! [V_b,V_a,V_c,T_a] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__divide__mult__cancel__right,axiom, % 191.92/192.30 ! [V_b,V_a,V_c,T_a] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__eq__eq,axiom, % 191.92/192.30 ! [V_a_2,V_ca_2,V_b_2,T_b] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_b) % 191.92/192.30 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_a_2 % 191.92/192.30 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) % 191.92/192.30 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__divide__eq,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_b) % 191.92/192.30 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) % 191.92/192.30 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_b_2 ) % 191.92/192.30 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__nonpos__neg,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__nonpos__pos,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_frac__le,axiom, % 191.92/192.30 ! [V_z,V_w,V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 191.92/192.30 => 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))) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_frac__less,axiom, % 191.92/192.30 ! [V_z,V_w,V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 191.92/192.30 => 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))) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_frac__less2,axiom, % 191.92/192.30 ! [V_z,V_w,V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 191.92/192.30 => 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))) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__nonneg__neg,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__nonneg__pos,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__divide__eq,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__less__eq,axiom, % 191.92/192.30 ! [V_a_2,V_ca_2,V_b_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2)) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pos__less__divide__eq,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pos__divide__less__eq,axiom, % 191.92/192.30 ! [V_a_2,V_b_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2)) % 191.92/192.30 <=> 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_ca_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__imp__div__pos__less,axiom, % 191.92/192.30 ! [V_z,V_x,V_y,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => ( 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))) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__imp__less__div__pos,axiom, % 191.92/192.30 ! [V_x,V_z,V_y,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => ( 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)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__less__divide__eq,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> 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_ca_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__divide__less__eq,axiom, % 191.92/192.30 ! [V_a_2,V_b_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__strict__left__mono,axiom, % 191.92/192.30 ! [V_c,V_a,V_b,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 191.92/192.30 => ( 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))) % 191.92/192.30 => 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))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__strict__left__mono__neg,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => ( 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))) % 191.92/192.30 => 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))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__frac__eq,axiom, % 191.92/192.30 ! [V_w,V_x,V_z,V_y,T_a] : % 191.92/192.30 ( class_Fields_Ofield(T_a) % 191.92/192.30 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__add__eq__iff,axiom, % 191.92/192.30 ! [V_y,V_x,V_z,T_a] : % 191.92/192.30 ( class_Fields_Ofield(T_a) % 191.92/192.30 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__frac__num,axiom, % 191.92/192.30 ! [V_z,V_x,V_y,T_a] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__divide__eq__iff,axiom, % 191.92/192.30 ! [V_y,V_x,V_z,T_a] : % 191.92/192.30 ( class_Fields_Ofield(T_a) % 191.92/192.30 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__num__frac,axiom, % 191.92/192.30 ! [V_x,V_z,V_y,T_a] : % 191.92/192.30 ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_diff__frac__eq,axiom, % 191.92/192.30 ! [V_w,V_x,V_z,V_y,T_a] : % 191.92/192.30 ( class_Fields_Ofield(T_a) % 191.92/192.30 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__diff__eq__iff,axiom, % 191.92/192.30 ! [V_y,V_x,V_z,T_a] : % 191.92/192.30 ( class_Fields_Ofield(T_a) % 191.92/192.30 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_diff__divide__eq__iff,axiom, % 191.92/192.30 ! [V_y,V_x,V_z,T_a] : % 191.92/192.30 ( class_Fields_Ofield(T_a) % 191.92/192.30 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_gt__half__sum,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__half__sum,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 191.92/192.30 => 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))))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__divide__eq,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__le__eq,axiom, % 191.92/192.30 ! [V_a_2,V_ca_2,V_b_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2)) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pos__le__divide__eq,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pos__divide__le__eq,axiom, % 191.92/192.30 ! [V_a_2,V_b_2,V_ca_2,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2)) % 191.92/192.30 <=> 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_ca_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__imp__div__pos__le,axiom, % 191.92/192.30 ! [V_z,V_x,V_y,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => ( 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))) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__imp__le__div__pos,axiom, % 191.92/192.30 ! [V_x,V_z,V_y,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => ( 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)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__aux__def,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 191.92/192.30 ! [V_B_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 191.92/192.30 ! [V_B_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__morphism__nat__int,axiom, % 191.92/192.30 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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 191.92/192.30 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 191.92/192.30 ! [V_B_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 191.92/192.30 ! [V_B_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__set__def,axiom, % 191.92/192.30 ! [V_S_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_S_2) % 191.92/192.30 <=> ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 191.92/192.30 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 191.92/192.30 ! [V_B_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => ( V_A_2 = V_B_2 % 191.92/192.30 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 191.92/192.30 ! [V_x_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 191.92/192.30 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__nat__int__set__return__embed,axiom, % 191.92/192.30 ! [V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 191.92/192.30 ! [V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 191.92/192.30 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 191.92/192.30 ! [V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 191.92/192.30 ! [V_B_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 191.92/192.30 ! [V_B_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 191.92/192.30 ! [V_f_2,V_A_2,T_b] : % 191.92/192.30 ( ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 & class_Groups_Ocomm__monoid__mult(T_b) ) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 191.92/192.30 ! [V_f_2,V_A_2,T_b] : % 191.92/192.30 ( ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 & class_Groups_Ocomm__monoid__mult(T_b) ) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setprod__Un,axiom, % 191.92/192.30 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 191.92/192.30 ( class_Fields_Ofield(T_c) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 191.92/192.30 => 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))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 191.92/192.30 ! [V_A_2,V_x_2] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x_2) % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeast__Suc,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__of__nat,axiom, % 191.92/192.30 ! [V_k,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => 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)))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__eq__iff,axiom, % 191.92/192.30 ! [V_z_2,V_w_2,T_b] : % 191.92/192.30 ( class_Int_Oring__char__0(T_b) % 191.92/192.30 => ( 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) % 191.92/192.30 <=> V_w_2 = V_z_2 ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeast__eq__iff,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 191.92/192.30 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__int__eq,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 191.92/192.30 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x) % 191.92/192.30 => ( c_Nat__Transfer_Ois__nat(V_y) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 191.92/192.30 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 191.92/192.30 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x) % 191.92/192.30 => ( c_Nat__Transfer_Ois__nat(V_y) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x) % 191.92/192.30 => ( c_Nat__Transfer_Ois__nat(V_y) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 191.92/192.30 ! [V_n,V_x] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x) % 191.92/192.30 => ( c_Nat__Transfer_Ois__nat(V_y) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__0,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__0__eq__iff,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Int_Oring__char__0(T_b) % 191.92/192.30 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 191.92/192.30 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__eq__0__iff,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Int_Oring__char__0(T_b) % 191.92/192.30 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__le__iff,axiom, % 191.92/192.30 ! [V_z_2,V_w_2,T_b] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__less__iff,axiom, % 191.92/192.30 ! [V_z_2,V_w_2,T_b] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__add,axiom, % 191.92/192.30 ! [V_z,V_w,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__mult,axiom, % 191.92/192.30 ! [V_z,V_w,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__1,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__diff,axiom, % 191.92/192.30 ! [V_z,V_w,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__of__nat__eq,axiom, % 191.92/192.30 ! [V_n,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__minus,axiom, % 191.92/192.30 ! [V_z,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Ints__of__int,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Rings_Oring__1(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__power,axiom, % 191.92/192.30 ! [V_n,V_z,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_is__nat__def,axiom, % 191.92/192.30 ! [V_x_2] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x_2) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeast__iff,axiom, % 191.92/192.30 ! [V_k_2,V_i_2,T_b] : % 191.92/192.30 ( class_Orderings_Oord(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeast__subset__iff,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeast__0,axiom, % 191.92/192.30 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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__setsum,axiom, % 191.92/192.30 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.30 ( class_Rings_Oring__1(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Compl__lessThan,axiom, % 191.92/192.30 ! [V_k_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Compl__atLeast,axiom, % 191.92/192.30 ! [V_k_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 191.92/192.30 ! [V_x_2,V_A_2] : % 191.92/192.30 ( c_Nat__Transfer_Onat__set(V_A_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__setprod,axiom, % 191.92/192.30 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.30 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 191.92/192.30 & class_Rings_Oring__1(T_b) ) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeast__Suc__greaterThan,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__0__le__iff,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__le__0__iff,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__less__0__iff,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__0__less__iff,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I14_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I8_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__nat__nat,axiom, % 191.92/192.30 ! [V_z,T_a] : % 191.92/192.30 ( class_Rings_Oring__1(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__atLeast__UNIV,axiom, % 191.92/192.30 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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I6_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I1_J,axiom, % 191.92/192.30 ! [V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I12_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 191.92/192.30 ! [V_f_2,V_A_2,T_b] : % 191.92/192.30 ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 191.92/192.30 ! [V_f_2,V_A_2,T_b] : % 191.92/192.30 ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_sum__diff__distrib,axiom, % 191.92/192.30 ! [V_na_2,V_Pa_2,V_Qa_2] : % 191.92/192.30 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Qa_2,B_x)),hAPP(V_Pa_2,B_x))) % 191.92/192.30 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Qa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_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_Pa_2)),V_Qa_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__natinterval__difff,axiom, % 191.92/192.30 ! [V_f_2,V_na_2,V_m_2,T_b] : % 191.92/192.30 ( class_Groups_Oab__group__add(T_b) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.30 => 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)))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_finite__atLeastAtMost,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__eq__id,axiom, % 191.92/192.30 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 191.92/192.30 % 191.92/192.30 fof(fact_all__nat__less,axiom, % 191.92/192.30 ! [V_Pa_2,V_na_2] : % 191.92/192.30 ( ! [B_m] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 191.92/192.30 <=> ! [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ex__nat__less,axiom, % 191.92/192.30 ! [V_Pa_2,V_na_2] : % 191.92/192.30 ( ? [B_m] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 191.92/192.30 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 191.92/192.30 <=> ? [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastatMost__empty__iff2,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( 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) % 191.92/192.30 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastatMost__empty__iff,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( 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)) % 191.92/192.30 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastatMost__empty,axiom, % 191.92/192.30 ! [V_a_2,V_b_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastatMost__subset__iff,axiom, % 191.92/192.30 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( 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_ca_2,V_d_2))) % 191.92/192.30 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 191.92/192.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastAtMost__singleton_H,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( V_a_2 = V_b_2 % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastAtMost__singleton__iff,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 191.92/192.30 <=> ( V_a_2 = V_b_2 % 191.92/192.30 & V_b_2 = V_ca_2 ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastAtMost__singleton,axiom, % 191.92/192.30 ! [V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__uminus__atLeastAtMost,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__Suc__atLeastAtMost,axiom, % 191.92/192.30 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 191.92/192.30 ! [V_na_2,V_m_2,V_f_2,T_b] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 191.92/192.30 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__add__atLeastAtMost,axiom, % 191.92/192.30 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_card__atLeastAtMost,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastAtMostSuc__conv,axiom, % 191.92/192.30 ! [V_na_2,V_m_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 191.92/192.30 ! [V_k_2,V_f_2] : % 191.92/192.30 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I21_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I15_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Int__atLeastAtMost,axiom, % 191.92/192.30 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastatMost__psubset__iff,axiom, % 191.92/192.30 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( 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_ca_2,V_d_2))) % 191.92/192.30 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 191.92/192.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 191.92/192.30 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_a_2)) % 191.92/192.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I22_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I4_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I16_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I13_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I12_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I7_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Int__atLeastAtMostL2,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_b_2) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Int__atLeastAtMostR2,axiom, % 191.92/192.30 ! [V_d_2,V_ca_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_d_2) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__head__Suc,axiom, % 191.92/192.30 ! [V_f_2,V_na_2,V_m_2,T_b] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__cl__ivl__Suc,axiom, % 191.92/192.30 ! [V_f_2,V_m_2,V_na_2,T_b] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__head,axiom, % 191.92/192.30 ! [V_Pa_2,V_na_2,V_m_2,T_b] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 191.92/192.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_na_2))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__ub__add__nat,axiom, % 191.92/192.30 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 => ( 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)))) % 191.92/192.30 => 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)))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I13_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I6_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I5_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I18_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I19_J,axiom, % 191.92/192.30 ! [V_u_2,V_m_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_gauss__sum,axiom, % 191.92/192.30 ! [V_na_2,T_b] : % 191.92/192.30 ( class_Rings_Ocomm__semiring__1(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__le__eq__Un0,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_decr__mult__lemma,axiom, % 191.92/192.30 ! [V_k_2,V_Pa_2,V_d_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_negD,axiom, % 191.92/192.30 ! [V_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => ? [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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_incr__mult__lemma,axiom, % 191.92/192.30 ! [V_k_2,V_Pa_2,V_d_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_finite__atLeastAtMost__int,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_finite__atMost,axiom, % 191.92/192.30 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atMost__eq__iff,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 191.92/192.30 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 191.92/192.30 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 191.92/192.30 ! [V_y_2,V_x_2] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x_2) % 191.92/192.30 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeast0AtMost,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_lessThan__Suc__atMost,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_card__atMost,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atMost__Suc,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atMost__iff,axiom, % 191.92/192.30 ! [V_k_2,V_i_2,T_b] : % 191.92/192.30 ( class_Orderings_Oord(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atMost__subset__iff,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 191.92/192.30 ! [V_y_2,V_x_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 191.92/192.30 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Compl__atMost,axiom, % 191.92/192.30 ! [V_k_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Compl__greaterThan,axiom, % 191.92/192.30 ! [V_k_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__atMost__UNIV,axiom, % 191.92/192.30 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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 191.92/192.30 ! [V_na_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__atMost__Suc,axiom, % 191.92/192.30 ! [V_na_2,V_f_2,T_b] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atMost__0,axiom, % 191.92/192.30 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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_simp__from__to,axiom, % 191.92/192.30 ! [V_i_2,V_j_2] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Int__atLeastAtMostL1,axiom, % 191.92/192.30 ! [V_d_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Int__atLeastAtMostR1,axiom, % 191.92/192.30 ! [V_d_2,V_ca_2,V_b_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I9_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__le__add__shift,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I3_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__int_I1_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__uminus__atLeast,axiom, % 191.92/192.30 ! [V_x_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_image__uminus__atMost,axiom, % 191.92/192.30 ! [V_x_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add(T_b) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_card__atLeastAtMost__int,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 191.92/192.30 ! [V_na_2,V_m_2] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_m_2) % 191.92/192.30 => ( c_Nat__Transfer_Ois__nat(V_na_2) % 191.92/192.30 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_na_2))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I2_J,axiom, % 191.92/192.30 ! [V_u_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I10_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_atMost__Int__atLeast,axiom, % 191.92/192.30 ! [V_na_2,T_b] : % 191.92/192.30 ( class_Orderings_Oorder(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_ivl__disj__un_I7_J,axiom, % 191.92/192.30 ! [V_u_2,V_l_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_aset_I6_J,axiom, % 191.92/192.30 ! [V_A_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bset_I8_J,axiom, % 191.92/192.30 ! [V_B_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_aset_I4_J,axiom, % 191.92/192.30 ! [V_A_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( B_x != V_t_2 % 191.92/192.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bset_I4_J,axiom, % 191.92/192.30 ! [V_B_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( B_x != V_t_2 % 191.92/192.30 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bset_I3_J,axiom, % 191.92/192.30 ! [V_B_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xa] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 191.92/192.30 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 191.92/192.30 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_aset_I3_J,axiom, % 191.92/192.30 ! [V_A_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xa] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 191.92/192.30 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 191.92/192.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_aset_I5_J,axiom, % 191.92/192.30 ! [V_A_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bset_I7_J,axiom, % 191.92/192.30 ! [V_B_2,V_t_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bset_I6_J,axiom, % 191.92/192.30 ! [V_t_2,V_B_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_aset_I8_J,axiom, % 191.92/192.30 ! [V_t_2,V_A_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_periodic__finite__ex,axiom, % 191.92/192.30 ! [V_Pa_2,V_d_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 191.92/192.30 => ( ! [B_x,B_k] : % 191.92/192.30 ( hBOOL(hAPP(V_Pa_2,B_x)) % 191.92/192.30 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 191.92/192.30 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 191.92/192.30 <=> ? [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_aset_I7_J,axiom, % 191.92/192.30 ! [V_t_2,V_A_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bset_I5_J,axiom, % 191.92/192.30 ! [V_t_2,V_B_2,V_D_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 191.92/192.30 => ! [B_x] : % 191.92/192.30 ( ! [B_xa] : % 191.92/192.30 ( 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))) % 191.92/192.30 => ! [B_xb] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 191.92/192.30 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_strong__setprod__reindex__cong,axiom, % 191.92/192.30 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__mult(T_d) % 191.92/192.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 191.92/192.30 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => 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) ) % 191.92/192.30 => 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) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setprod__mono__one__left,axiom, % 191.92/192.30 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 191.92/192.30 => 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) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setprod__mono__one__right,axiom, % 191.92/192.30 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( 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))) % 191.92/192.30 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 191.92/192.30 => 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) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_card__partition,axiom, % 191.92/192.30 ! [V_k_2,V_C_2,T_b] : % 191.92/192.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 191.92/192.30 => ( ! [B_c] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 191.92/192.30 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 191.92/192.30 => ( ! [B_c1] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 191.92/192.30 => ! [B_c2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 191.92/192.30 => ( B_c1 != B_c2 % 191.92/192.30 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 191.92/192.30 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__less__imp__eq__int,axiom, % 191.92/192.30 ! [V_k] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 191.92/192.30 => ? [B_n] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 191.92/192.30 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_field__le__mult__one__interval,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 191.92/192.30 => ( ! [B_z] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 191.92/192.30 => 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)) ) ) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 191.92/192.30 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 191.92/192.30 ( ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 & class_Groups_Ocomm__monoid__mult(T_b) ) % 191.92/192.30 => ( V_A_2 = V_B_2 % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 191.92/192.30 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 191.92/192.30 => 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) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_split__pos__lemma,axiom, % 191.92/192.30 ! [V_na_2,V_Pa_2,V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(V_Pa_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))) % 191.92/192.30 <=> ! [B_i,B_j] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 191.92/192.30 & 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) ) % 191.92/192.30 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_split__neg__lemma,axiom, % 191.92/192.30 ! [V_na_2,V_Pa_2,V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(V_Pa_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))) % 191.92/192.30 <=> ! [B_i,B_j] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 & 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) ) % 191.92/192.30 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_decr__lemma,axiom, % 191.92/192.30 ! [V_z,V_x,V_d] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_incr__lemma,axiom, % 191.92/192.30 ! [V_x,V_z,V_d] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 191.92/192.30 => 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__abs,axiom, % 191.92/192.30 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__abs__ge__zero,axiom, % 191.92/192.30 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_measure__function__int,axiom, % 191.92/192.30 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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__ge__self,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__le__D1,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__add__self2,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__add__self1,axiom, % 191.92/192.30 ! [V_a,V_b,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__add__right__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__add__left__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__add__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__simps_I2_J,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__simps_I1_J,axiom, % 191.92/192.30 ! [V_b,V_c,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__add__cong,axiom, % 191.92/192.30 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 191.92/192.30 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zminus2,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__minus__eq,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Oring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zminus__zminus,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zminus__zmod,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__minus__cong,axiom, % 191.92/192.30 ! [V_a_H,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Oring__div(T_a) % 191.92/192.30 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__self,axiom, % 191.92/192.30 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zero,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__self,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__by__0,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__0,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mod__trivial,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zpower__zmod,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__cong,axiom, % 191.92/192.30 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 191.92/192.30 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__simps_I4_J,axiom, % 191.92/192.30 ! [V_b,V_c,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__simps_I3_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__mult2,axiom, % 191.92/192.30 ! [V_b,V_c,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__mult1,axiom, % 191.92/192.30 ! [V_b,V_a,V_c,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__left__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zmult1__eq,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__right__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__mult__self,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__mult,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_power__abs,axiom, % 191.92/192.30 ! [V_n,V_a,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__idempotent,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__zero,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__eq__0,axiom, % 191.92/192.30 ! [V_a_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 191.92/192.30 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__minus__cancel,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__one,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__add__abs,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__int__eq,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__of__nat,axiom, % 191.92/192.30 ! [V_n,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__setprod,axiom, % 191.92/192.30 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__setsum__abs,axiom, % 191.92/192.30 ! [V_A_2,V_f_2,T_c,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__minus__commute,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__diff__right__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Oring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__diff__left__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Oring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__diff__eq,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Oring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiff__zmod__right,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiff__zmod__left,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__diff__cong,axiom, % 191.92/192.30 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 191.92/192.30 ( class_Divides_Oring__div(T_a) % 191.92/192.30 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 191.92/192.30 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__divide,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( c_Nat__Transfer_Ois__nat(V_x) % 191.92/192.30 => ( c_Nat__Transfer_Ois__nat(V_y) % 191.92/192.30 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__ge__zero,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__le__zero__iff,axiom, % 191.92/192.30 ! [V_a_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__of__nonneg,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__of__pos,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__less__abs__iff,axiom, % 191.92/192.30 ! [V_a_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__not__less__zero,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ~ 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__self1__is__0,axiom, % 191.92/192.30 ! [V_a,V_b,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__self2__is__0,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__triangle__ineq,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__mult__less,axiom, % 191.92/192.30 ! [V_d,V_b,V_c,V_a,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__triangle__ineq3,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__triangle__ineq2,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__triangle__ineq2__sym,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__self2,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__self1,axiom, % 191.92/192.30 ! [V_b,V_c,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__by__1,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__ge__minus__self,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__le__iff,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 191.92/192.30 => ( 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)) % 191.92/192.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 191.92/192.30 & 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__leI,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__le__D2,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__less__iff,axiom, % 191.92/192.30 ! [V_b_2,V_a_2,T_b] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 191.92/192.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__div__trivial,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nonzero__abs__divide,axiom, % 191.92/192.30 ! [V_a,V_b,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field(T_a) % 191.92/192.30 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__power__minus,axiom, % 191.92/192.30 ! [V_n,V_a,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__le__nonneg__dividend,axiom, % 191.92/192.30 ! [V_k,V_m] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pos__mod__bound,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__mod__bound,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__zmult__eq__1,axiom, % 191.92/192.30 ! [V_n,V_m] : % 191.92/192.30 ( 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) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__eq__0__iff,axiom, % 191.92/192.30 ! [V_d_2,V_m_2] : % 191.92/192.30 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zminus1__not__zero,axiom, % 191.92/192.30 ! [V_l,V_k] : % 191.92/192.30 ( 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) % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zminus2__not__zero,axiom, % 191.92/192.30 ! [V_l,V_k] : % 191.92/192.30 ( 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) % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zdiv__trivial,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_DIVISION__BY__ZERO,axiom, % 191.92/192.30 ! [V_a] : % 191.92/192.30 ( 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) % 191.92/192.30 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__sgn__abs,axiom, % 191.92/192.30 ! [V_x,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__sgn,axiom, % 191.92/192.30 ! [V_k,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiv__zadd1__eq,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__mult__pos,axiom, % 191.92/192.30 ! [V_y,V_x,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__eq__mult,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Rings_Oordered__ring__abs(T_a) % 191.92/192.30 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 191.92/192.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 191.92/192.30 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 191.92/192.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__diff__triangle__ineq,axiom, % 191.92/192.30 ! [V_d,V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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))))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__triangle__ineq4,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__minus__le__zero,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__of__nonpos,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__of__neg,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__if,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Groups_Oabs__if(T_a) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__le__power__abs,axiom, % 191.92/192.30 ! [V_n,V_a,T_a] : % 191.92/192.30 ( class_Rings_Olinordered__idom(T_a) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__div__pos,axiom, % 191.92/192.30 ! [V_x,V_y,T_a] : % 191.92/192.30 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__div__equality2,axiom, % 191.92/192.30 ! [V_a,V_b,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__div__equality,axiom, % 191.92/192.30 ! [V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_div__mod__equality2,axiom, % 191.92/192.30 ! [V_c,V_a,V_b,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_div__mod__equality,axiom, % 191.92/192.30 ! [V_c,V_b,V_a,T_a] : % 191.92/192.30 ( class_Divides_Osemiring__div(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zabs__less__one__iff,axiom, % 191.92/192.30 ! [V_z_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zabs__def,axiom, % 191.92/192.30 ! [V_i] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__neg__neg__trivial,axiom, % 191.92/192.30 ! [V_b,V_a] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__mod__conj,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => ( 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))) % 191.92/192.30 & 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__mod__sign,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__pos__pos__trivial,axiom, % 191.92/192.30 ! [V_b,V_a] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pos__mod__conj,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 191.92/192.30 => ( 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))) % 191.92/192.30 & 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pos__mod__sign,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__abs__mult__distrib,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zminus2__eq__if,axiom, % 191.92/192.30 ! [V_b,V_a] : % 191.92/192.30 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zminus1__eq__if,axiom, % 191.92/192.30 ! [V_b,V_a] : % 191.92/192.30 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__le__zpower__abs,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zdiv__equality,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiv__zmult1__eq,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiv__zmod__equality,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiv__zmod__equality2,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmult__div__cancel,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zdiv__equality_H,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__pos__neg__trivial,axiom, % 191.92/192.30 ! [V_b,V_a] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 191.92/192.30 => ( 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))) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__less__zpower__abs__iff,axiom, % 191.92/192.30 ! [V_na_2,V_x_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divmod__int__rel__mod__eq,axiom, % 191.92/192.30 ! [V_y,V_q_1,V_b_1,V_a_1] : % 191.92/192.30 ( 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) % 191.92/192.30 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 191.92/192.30 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmult2__lemma__aux2,axiom, % 191.92/192.30 ! [V_q,V_r,V_b,V_c] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmult2__lemma__aux1,axiom, % 191.92/192.30 ! [V_q,V_r,V_b,V_c] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmult2__lemma__aux4,axiom, % 191.92/192.30 ! [V_q,V_b,V_r,V_c] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 191.92/192.30 => 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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmult2__lemma__aux3,axiom, % 191.92/192.30 ! [V_q,V_b,V_r,V_c] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_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))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_split__zmod,axiom, % 191.92/192.30 ! [V_k_2,V_na_2,V_Pa_2] : % 191.92/192.30 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 191.92/192.30 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 191.92/192.30 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 191.92/192.30 => ! [B_i,B_j] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 191.92/192.30 & 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) ) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 191.92/192.30 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 => ! [B_i,B_j] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.30 & 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) ) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__zmult2__eq,axiom, % 191.92/192.30 ! [V_b,V_a,V_c] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiv__zminus2__eq__if,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zdiv__zminus1__eq__if,axiom, % 191.92/192.30 ! [V_a,V_b] : % 191.92/192.30 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_z3mod__def,axiom, % 191.92/192.30 ! [V_k,V_l] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 191.92/192.30 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nitpick_Oint__lcm__def,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 191.92/192.30 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 191.92/192.30 ( ( class_Groups_Ocomm__monoid__add(T_b) % 191.92/192.30 & class_Groups_Ocomm__monoid__mult(T_b) ) % 191.92/192.30 => ( V_A_2 = V_B_2 % 191.92/192.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 191.92/192.30 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 191.92/192.30 => 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) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_sublist__append,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__less__eq__dividend,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__less,axiom, % 191.92/192.30 ! [V_n,V_m] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__distrib,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__distrib2,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_append__assoc,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_append__eq__append__conv2,axiom, % 191.92/192.30 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 191.92/192.30 ( 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) % 191.92/192.30 <=> ? [B_us] : % 191.92/192.30 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 191.92/192.30 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 191.92/192.30 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 191.92/192.30 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_same__append__eq,axiom, % 191.92/192.30 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 191.92/192.30 ( 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) % 191.92/192.30 <=> V_ys_2 = V_zs_2 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_append__same__eq,axiom, % 191.92/192.30 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 191.92/192.30 ( 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) % 191.92/192.30 <=> V_ys_2 = V_zs_2 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_append__eq__appendI,axiom, % 191.92/192.30 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 191.92/192.30 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 191.92/192.30 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 191.92/192.30 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__1,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__Suc,axiom, % 191.92/192.30 ! [V_n,V_m] : % 191.92/192.30 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.30 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__less__divisor,axiom, % 191.92/192.30 ! [V_m,V_n] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_length__append,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__eq__0__iff,axiom, % 191.92/192.30 ! [V_d_2,V_m_2] : % 191.92/192.30 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.30 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__if,axiom, % 191.92/192.30 ! [V_n,V_m] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.30 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__geq,axiom, % 191.92/192.30 ! [V_n,V_m] : % 191.92/192.30 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__self3,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__mod__geq,axiom, % 191.92/192.30 ! [V_m,V_n] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zmod__int,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_div__add1__eq,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__le__divisor,axiom, % 191.92/192.30 ! [V_m,V_n] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult__self4,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__mult2__eq,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_div__mult1__eq,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_div__mod__equality_H,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__div__cancel,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Divides_Omod__div__equality_H,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__lemma,axiom, % 191.92/192.30 ! [V_q,V_b,V_r,V_c] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_split__mod,axiom, % 191.92/192.30 ! [V_k_2,V_na_2,V_Pa_2] : % 191.92/192.30 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2))) % 191.92/192.30 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 191.92/192.30 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.30 => ! [B_i,B_j] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 191.92/192.30 => ( 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) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Suc__times__mod__eq,axiom, % 191.92/192.30 ! [V_m,V_k] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__mod__distrib,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 191.92/192.30 ! [V_y,V_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nitpick_Onat__lcm__def,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat0__intermed__int__val,axiom, % 191.92/192.30 ! [V_k_2,V_f_2,V_na_2] : % 191.92/192.30 ( ! [B_i] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 191.92/192.30 => ( 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)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 191.92/192.30 => ? [B_i] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 191.92/192.30 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_int__val__lemma,axiom, % 191.92/192.30 ! [V_k_2,V_f_2,V_na_2] : % 191.92/192.30 ( ! [B_i] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 191.92/192.30 => ( 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)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 191.92/192.30 => ? [B_i] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 191.92/192.30 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__gcd_Osimps,axiom, % 191.92/192.30 ! [V_x,V_y] : % 191.92/192.30 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.30 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 191.92/192.30 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nitpick_Oint__gcd__def,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__Un,axiom, % 191.92/192.30 ! [V_B_2,V_A_2,T_b] : % 191.92/192.30 ( class_Groups_Oab__semigroup__mult(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.30 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( 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)) % 191.92/192.30 => 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)) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__antimono,axiom, % 191.92/192.30 ! [V_B_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.30 => 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))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__singleton__def,axiom, % 191.92/192.30 ! [V_a_2,V_f_2,T_b,V_g_2] : % 191.92/192.30 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__singleton,axiom, % 191.92/192.30 ! [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 ). % 191.92/192.30 % 191.92/192.30 fof(fact_folding__one_Oeq__fold,axiom, % 191.92/192.30 ! [V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.30 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__def,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Sup__fin_OF__eq,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( class_Lattices_Olattice(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Inf__fin_OF__eq,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( class_Lattices_Olattice(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Min_OF__eq,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Max_OF__eq,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__belowI,axiom, % 191.92/192.30 ! [V_a_2,V_A_2,T_b] : % 191.92/192.30 ( class_Lattices_Osemilattice__inf(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_below__fold1__iff,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Lattices_Osemilattice__inf(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_min__max_Ofold1__belowI,axiom, % 191.92/192.30 ! [V_a_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__insert__idem,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => 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)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_min__max_Obelow__fold1__iff,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__below__iff,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( 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)) % 191.92/192.30 <=> ? [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__Un2,axiom, % 191.92/192.30 ! [V_B_2,V_A_2,T_b] : % 191.92/192.30 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 191.92/192.30 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => 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)) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_strict__below__fold1__iff,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__strict__below__iff,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( 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)) % 191.92/192.30 <=> ? [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__insert,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Groups_Oab__semigroup__mult(T_b) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.30 => 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)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_semilattice__big_OF__eq,axiom, % 191.92/192.30 ! [V_A_2,V_F_2,V_f_2,T_b] : % 191.92/192.30 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold1__in,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( class_Groups_Oab__semigroup__mult(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => ( ! [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)))))) % 191.92/192.30 => 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)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_hom__fold1__commute,axiom, % 191.92/192.30 ! [V_N_2,V_h_2,T_b] : % 191.92/192.30 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 191.92/192.30 => ( ! [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)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.30 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setprod__pos__nat,axiom, % 191.92/192.30 ! [V_f_2,V_S_2,T_b] : % 191.92/192.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 191.92/192.30 => 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))) ) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_folding__one__idem_Ohom__commute,axiom, % 191.92/192.30 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 191.92/192.30 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 191.92/192.30 => ( ! [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)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 191.92/192.30 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 191.92/192.30 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 191.92/192.30 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 191.92/192.30 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 191.92/192.30 => hAPP(V_g_2,B_x) = V_z_2 ) % 191.92/192.30 => 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)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_length__sublists,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pigeonhole__infinite,axiom, % 191.92/192.30 ! [V_f_2,T_c,V_A_2,T_b] : % 191.92/192.30 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 191.92/192.30 => ? [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_finite__UN__I,axiom, % 191.92/192.30 ! [V_B_2,T_c,V_A_2,T_b] : % 191.92/192.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( ! [B_a] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_enum__the__def,axiom, % 191.92/192.30 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 191.92/192.30 % 191.92/192.30 fof(fact_length__n__lists,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_order__fun_I2_J,axiom, % 191.92/192.30 ! [V_g_2,V_f_2,T_b,T_c] : % 191.92/192.30 ( ( class_Orderings_Oorder(T_c) % 191.92/192.30 & class_Enum_Oenum(T_b) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.30 & 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)))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_enum__ex,axiom, % 191.92/192.30 ! [V_Pa_2,T_b] : % 191.92/192.30 ( class_Enum_Oenum(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 191.92/192.30 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_exists__code,axiom, % 191.92/192.30 ! [V_Pa_2,T_b] : % 191.92/192.30 ( class_Enum_Oenum(T_b) % 191.92/192.30 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 191.92/192.30 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_inj__on__diff__nat,axiom, % 191.92/192.30 ! [V_k_2,V_N_2] : % 191.92/192.30 ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 191.92/192.30 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_diff__nat__eq__if,axiom, % 191.92/192.30 ! [V_z_2,V_z_H_2] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_setsum__SucD,axiom, % 191.92/192.30 ! [V_na_2,V_A_2,V_f_2,T_b] : % 191.92/192.30 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_na_2) % 191.92/192.30 => ? [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 & 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__neg__int,axiom, % 191.92/192.30 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__neg__1,axiom, % 191.92/192.30 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__neg__0,axiom, % 191.92/192.30 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__neg__eq__ge__0,axiom, % 191.92/192.30 ! [V_x_2] : % 191.92/192.30 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__def,axiom, % 191.92/192.30 ! [V_Z_2] : % 191.92/192.30 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__nat,axiom, % 191.92/192.30 ! [V_z] : % 191.92/192.30 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 191.92/192.30 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__neg__nat,axiom, % 191.92/192.30 ! [V_z] : % 191.92/192.30 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 191.92/192.30 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__zminus__int,axiom, % 191.92/192.30 ! [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))))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rotate1__length01,axiom, % 191.92/192.30 ! [V_xs,T_a] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 191.92/192.30 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__mod__eq__lemma,axiom, % 191.92/192.30 ! [V_y,V_n,V_x] : % 191.92/192.30 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 191.92/192.30 => ? [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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold__image__1,axiom, % 191.92/192.30 ! [V_f_2,V_S_2,T_b,T_c] : % 191.92/192.30 ( class_Groups_Ocomm__monoid__mult(T_c) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 191.92/192.30 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 191.92/192.30 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_length__rotate1,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_order__fun_I1_J,axiom, % 191.92/192.30 ! [V_g_2,V_f_2,T_b,T_c] : % 191.92/192.30 ( ( class_Orderings_Oorder(T_c) % 191.92/192.30 & class_Enum_Oenum(T_b) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 191.92/192.30 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_card_Oneutral,axiom, % 191.92/192.30 ! [V_A_2,T_b] : % 191.92/192.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.30 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__induct__0,axiom, % 191.92/192.30 ! [V_i_2,V_Pa_2,V_p_2] : % 191.92/192.30 ( ! [B_i] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 191.92/192.30 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 191.92/192.30 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 191.92/192.30 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_all__code,axiom, % 191.92/192.30 ! [V_Pa_2,T_b] : % 191.92/192.30 ( class_Enum_Oenum(T_b) % 191.92/192.30 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 191.92/192.30 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_enum__all,axiom, % 191.92/192.30 ! [V_Pa_2,T_b] : % 191.92/192.30 ( class_Enum_Oenum(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 191.92/192.30 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_fold__image__cong,axiom, % 191.92/192.30 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 191.92/192.30 ( class_Groups_Oab__semigroup__mult(T_c) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 191.92/192.30 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Max__eqI,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( ! [B_y] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.30 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Min__eqI,axiom, % 191.92/192.30 ! [V_x_2,V_A_2,T_b] : % 191.92/192.30 ( class_Orderings_Olinorder(T_b) % 191.92/192.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 191.92/192.30 => ( ! [B_y] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 191.92/192.30 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_expand__Suc,axiom, % 191.92/192.30 ! [V_v] : % 191.92/192.30 ( 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))) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_quotient__disj,axiom, % 191.92/192.30 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 191.92/192.30 => ( 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))) % 191.92/192.30 => ( 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))) % 191.92/192.30 => ( V_X_2 = V_Y_2 % 191.92/192.30 | 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)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osize_I11_J,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_WTs__elim__cases_I3_J,axiom, % 191.92/192.30 ! [V_ca_2,V_a_2,V_Y_2] : % 191.92/192.30 ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2)) % 191.92/192.30 => c_Com_OWT(V_ca_2) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Orecs_I3_J,axiom, % 191.92/192.30 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com_2)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__int__number__of__eq,axiom, % 191.92/192.30 ! [V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__eq,axiom, % 191.92/192.30 ! [V_k,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I36_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I37_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_WT_Oequations_I3_J,axiom, % 191.92/192.30 ! [V_a1_2,V_a3_2,V_a2_2] : % 191.92/192.30 ( c_Com_OWT(c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2)) % 191.92/192.30 <=> c_Com_OWT(V_a1_2) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_WT_OLocal,axiom, % 191.92/192.30 ! [V_a_2,V_Y_2,V_ca_2] : % 191.92/192.30 ( c_Com_OWT(V_ca_2) % 191.92/192.30 => c_Com_OWT(c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__nat__number__of__lemma,axiom, % 191.92/192.30 ! [V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__number__of,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.30 & class_Int_Oring__char__0(T_b) ) % 191.92/192.30 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 191.92/192.30 <=> V_x_2 = V_y_2 ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__reorient,axiom, % 191.92/192.30 ! [V_x_2,V_w_2,T_b] : % 191.92/192.30 ( class_Int_Onumber(T_b) % 191.92/192.30 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 191.92/192.30 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I2_J,axiom, % 191.92/192.30 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 191.92/192.30 ( 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) % 191.92/192.30 <=> ( V_loc_2 = V_loc_H_2 % 191.92/192.30 & V_fun_2 = V_fun_H_2 % 191.92/192.30 & V_com_2 = V_com_H_2 ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I41_J,axiom, % 191.92/192.30 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I40_J,axiom, % 191.92/192.30 ! [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) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I39_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I38_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I11_J,axiom, % 191.92/192.30 ! [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 ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I10_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I34_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I35_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I43_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I42_J,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I22_J,axiom, % 191.92/192.30 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I23_J,axiom, % 191.92/192.30 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 191.92/192.30 % 191.92/192.30 fof(fact_of__nat__number__of__eq,axiom, % 191.92/192.30 ! [V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osimps_I66_J,axiom, % 191.92/192.30 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__number__of__eq__not__less,axiom, % 191.92/192.30 ! [V_w_2,V_v_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber(T_b) % 191.92/192.30 & class_Orderings_Olinorder(T_b) ) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> ~ 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_right__distrib__number__of,axiom, % 191.92/192.30 ! [V_c,V_b,V_v,T_b] : % 191.92/192.30 ( ( class_Int_Onumber(T_b) % 191.92/192.30 & class_Rings_Osemiring(T_b) ) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_left__distrib__number__of,axiom, % 191.92/192.30 ! [V_v,V_b,V_a,T_b] : % 191.92/192.30 ( ( class_Int_Onumber(T_b) % 191.92/192.30 & class_Rings_Osemiring(T_b) ) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_right__diff__distrib__number__of,axiom, % 191.92/192.30 ! [V_c,V_b,V_v,T_b] : % 191.92/192.30 ( ( class_Int_Onumber(T_b) % 191.92/192.30 & class_Rings_Oring(T_b) ) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_left__diff__distrib__number__of,axiom, % 191.92/192.30 ! [V_v,V_b,V_a,T_b] : % 191.92/192.30 ( ( class_Int_Onumber(T_b) % 191.92/192.30 & class_Rings_Oring(T_b) ) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__number__of,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.30 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__number__of,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.30 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_min__number__of,axiom, % 191.92/192.30 ! [V_v,V_u,T_b] : % 191.92/192.30 ( ( class_Int_Onumber(T_b) % 191.92/192.30 & class_Orderings_Oord(T_b) ) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_max__number__of,axiom, % 191.92/192.30 ! [V_v,V_u,T_b] : % 191.92/192.30 ( ( class_Int_Onumber(T_b) % 191.92/192.30 & class_Orderings_Oord(T_b) ) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__add,axiom, % 191.92/192.30 ! [V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__number__of__eq,axiom, % 191.92/192.30 ! [V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__number__of__left,axiom, % 191.92/192.30 ! [V_z,V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__mult,axiom, % 191.92/192.30 ! [V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_arith__simps_I32_J,axiom, % 191.92/192.30 ! [V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__number__of__left,axiom, % 191.92/192.30 ! [V_z,V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__diff,axiom, % 191.92/192.30 ! [V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__minus,axiom, % 191.92/192.30 ! [V_w,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_arith__simps_I30_J,axiom, % 191.92/192.30 ! [V_w,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Ints__number__of,axiom, % 191.92/192.30 ! [V_w_2,T_b] : % 191.92/192.30 ( class_Int_Onumber__ring(T_b) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Union__quotient,axiom, % 191.92/192.30 ! [V_r_2,V_A_2,T_b] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 191.92/192.30 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__eq__eq__number__of1,axiom, % 191.92/192.30 ! [V_a_2,V_w_2,V_b_2,T_b] : % 191.92/192.30 ( ( class_Fields_Ofield__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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 % 191.92/192.30 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__eq__eq__number__of,axiom, % 191.92/192.30 ! [V_w_2,V_ca_2,V_b_2,T_b] : % 191.92/192.30 ( ( class_Fields_Ofield__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) % 191.92/192.30 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => 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_ca_2) ) % 191.92/192.30 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__divide__eq__number__of,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_w_2,T_b] : % 191.92/192.30 ( ( class_Fields_Ofield__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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_ca_2) % 191.92/192.30 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) = V_b_2 ) % 191.92/192.30 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__divide__eq__number__of1,axiom, % 191.92/192.30 ! [V_w_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( ( class_Fields_Ofield__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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)) % 191.92/192.30 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => 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 ) % 191.92/192.30 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__number__of__diff1,axiom, % 191.92/192.30 ! [V_c,V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_minus__number__of__mult,axiom, % 191.92/192.30 ! [V_z,V_w,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_diff__number__of__eq,axiom, % 191.92/192.30 ! [V_w,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__less__eq__number__of1,axiom, % 191.92/192.30 ! [V_a_2,V_w_2,V_b_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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)) % 191.92/192.30 <=> ( ( 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))) % 191.92/192.30 => 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)))) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__less__eq__number__of,axiom, % 191.92/192.30 ! [V_w_2,V_ca_2,V_b_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__divide__eq__number__of,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_w_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__divide__eq__number__of1,axiom, % 191.92/192.30 ! [V_w_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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)))) % 191.92/192.30 <=> ( ( 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))) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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)))) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_abs__number__of,axiom, % 191.92/192.30 ! [V_x,T_a] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_a) % 191.92/192.30 & class_Rings_Olinordered__idom(T_a) ) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__number__of__diff2,axiom, % 191.92/192.30 ! [V_w,V_c,V_v,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__divide__eq__number__of1,axiom, % 191.92/192.30 ! [V_w_2,V_b_2,V_a_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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)))) % 191.92/192.30 <=> ( ( 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))) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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)))) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__divide__eq__number__of,axiom, % 191.92/192.30 ! [V_ca_2,V_b_2,V_w_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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_ca_2))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__le__eq__number__of,axiom, % 191.92/192.30 ! [V_w_2,V_ca_2,V_b_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => 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_ca_2))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 191.92/192.30 => 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))) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__le__eq__number__of1,axiom, % 191.92/192.30 ! [V_a_2,V_w_2,V_b_2,T_b] : % 191.92/192.30 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 191.92/192.30 & class_Int_Onumber(T_b) ) % 191.92/192.30 => ( 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)) % 191.92/192.30 <=> ( ( 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))) % 191.92/192.30 => 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)))) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_equiv__class__self,axiom, % 191.92/192.30 ! [V_a_2,V_r_2,V_A_2,T_b] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.30 => 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)))))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_com_Osize_I3_J,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__equiv__class,axiom, % 191.92/192.30 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 191.92/192.30 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__equiv__class2,axiom, % 191.92/192.30 ! [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] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 191.92/192.30 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 191.92/192.30 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 191.92/192.30 => 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) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_one__mod__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__number__of__int__code,axiom, % 191.92/192.30 ! [V_l_2,V_k_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__eq__number__of__int__code,axiom, % 191.92/192.30 ! [V_l_2,V_k_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_times__numeral__code_I5_J,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__is__id,axiom, % 191.92/192.30 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 191.92/192.30 % 191.92/192.30 fof(fact_minus__numeral__code_I5_J,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_plus__numeral__code_I9_J,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_int__number__of__def,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__number__of,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__number__of__def,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_congruent2__implies__congruent,axiom, % 191.92/192.30 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 191.92/192.30 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 191.92/192.30 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_minus__numeral__code_I6_J,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__imp__number__of__eq__0,axiom, % 191.92/192.30 ! [V_v] : % 191.92/192.30 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_int__eq__iff__number__of,axiom, % 191.92/192.30 ! [V_v_2,V_m_2] : % 191.92/192.30 ( 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) % 191.92/192.30 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 191.92/192.30 & 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H_2,V_v_2] : % 191.92/192.30 ( 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) % 191.92/192.30 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 191.92/192.30 => 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))) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 191.92/192.30 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 191.92/192.30 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 191.92/192.30 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__number__of__add__left,axiom, % 191.92/192.30 ! [V_k,V_v_H,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 191.92/192.30 => 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) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_int__nat__number__of,axiom, % 191.92/192.30 ! [V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mod__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 191.92/192.30 => 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))) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_congruent2__implies__congruent__UN,axiom, % 191.92/192.30 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 191.92/192.30 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 191.92/192.30 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 191.92/192.30 => 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)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_div__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_power__nat__number__of,axiom, % 191.92/192.30 ! [V_n,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_power__nat__number__of__number__of,axiom, % 191.92/192.30 ! [V_w,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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)) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_one__div__nat__number__of,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Suc__nat__number__of__add,axiom, % 191.92/192.30 ! [V_n,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_diff__nat__number__of,axiom, % 191.92/192.30 ! [V_v_2,V_v_H_2] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_min__number__of__Suc,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__code__numeral__code,axiom, % 191.92/192.30 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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I2_J,axiom, % 191.92/192.30 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I19_J,axiom, % 191.92/192.30 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__Pls,axiom, % 191.92/192.30 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 191.92/192.30 % 191.92/192.30 fof(fact_succ__pred,axiom, % 191.92/192.30 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 191.92/192.30 % 191.92/192.30 fof(fact_minus__Pls,axiom, % 191.92/192.30 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 191.92/192.30 % 191.92/192.30 fof(fact_Pls__def,axiom, % 191.92/192.30 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__Pls__right,axiom, % 191.92/192.30 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__Pls,axiom, % 191.92/192.30 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 191.92/192.30 % 191.92/192.30 fof(fact_diff__bin__simps_I1_J,axiom, % 191.92/192.30 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__Pls,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_semiring__norm_I112_J,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__numeral__0,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__numeral__0__right,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bin__less__0__simps_I1_J,axiom, % 191.92/192.30 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__number__of__Pls,axiom, % 191.92/192.30 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 191.92/192.30 % 191.92/192.30 fof(fact_semiring__norm_I113_J,axiom, % 191.92/192.30 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zero__is__num__zero,axiom, % 191.92/192.30 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Suc__diff__number__of,axiom, % 191.92/192.30 ! [V_m,V_v] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 191.92/192.30 => 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))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__neg__number__of__Pls,axiom, % 191.92/192.30 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__1__add__number__of,axiom, % 191.92/192.30 ! [V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__number__of__add__1,axiom, % 191.92/192.30 ! [V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__iff__pred__less,axiom, % 191.92/192.30 ! [V_l_2,V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_pred__def,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__number__of__diff__1,axiom, % 191.92/192.30 ! [V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__Numeral0,axiom, % 191.92/192.30 ! [V_x,T_a] : % 191.92/192.30 ( ( class_Fields_Ofield__inverse__zero(T_a) % 191.92/192.30 & class_Int_Onumber__ring(T_a) ) % 191.92/192.30 => 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) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__number__of__0,axiom, % 191.92/192.30 ! [V_v_2] : % 191.92/192.30 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__0__number__of,axiom, % 191.92/192.30 ! [V_v_2] : % 191.92/192.30 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of2,axiom, % 191.92/192.30 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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H_2,V_v_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 191.92/192.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H_2,V_v_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_succ__def,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__special_I1_J,axiom, % 191.92/192.30 ! [V_y_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.30 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__special_I3_J,axiom, % 191.92/192.30 ! [V_x_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.30 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__special_I1_J,axiom, % 191.92/192.30 ! [V_y_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.30 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__special_I3_J,axiom, % 191.92/192.30 ! [V_x_2,T_b] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.30 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.30 => ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__0__number__of,axiom, % 191.92/192.30 ! [V_v_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_add__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 191.92/192.30 => 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)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nats__number__of,axiom, % 191.92/192.30 ! [V_w_2,T_b] : % 191.92/192.30 ( class_Int_Onumber__ring(T_b) % 191.92/192.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 191.92/192.30 => 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))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__succ,axiom, % 191.92/192.30 ! [V_k,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__pred,axiom, % 191.92/192.30 ! [V_w,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__nat__number__of,axiom, % 191.92/192.30 ! [V_v_H,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__number__of__mult__left,axiom, % 191.92/192.30 ! [V_k,V_v_H,V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__number__of__pred__iff__0,axiom, % 191.92/192.30 ! [V_v_2] : % 191.92/192.30 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 191.92/192.30 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Suc__eq__number__of,axiom, % 191.92/192.30 ! [V_v_2,V_na_2] : % 191.92/192.30 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 191.92/192.30 <=> 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))))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__number__of__Suc,axiom, % 191.92/192.30 ! [V_na_2,V_v_2] : % 191.92/192.30 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2) % 191.92/192.30 <=> 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))))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__case__number__of,axiom, % 191.92/192.30 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__number__of__Suc,axiom, % 191.92/192.30 ! [V_na_2,V_v_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__Suc__number__of,axiom, % 191.92/192.30 ! [V_v_2,V_na_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> 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))))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__number__of__Suc,axiom, % 191.92/192.30 ! [V_na_2,V_v_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> 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)))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_le__Suc__number__of,axiom, % 191.92/192.30 ! [V_v_2,V_na_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> 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))))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Suc__nat__number__of,axiom, % 191.92/192.30 ! [V_v] : % 191.92/192.30 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 191.92/192.30 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 191.92/192.30 => 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)) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_max__number__of__Suc,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_max__Suc__number__of,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__case__add__eq__if,axiom, % 191.92/192.30 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_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)),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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_min__Suc__number__of,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__rec__add__eq__if,axiom, % 191.92/192.30 ! [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))))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__rec__number__of,axiom, % 191.92/192.30 ! [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)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__equiv__class__type2,axiom, % 191.92/192.30 ! [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] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 191.92/192.30 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 191.92/192.30 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 191.92/192.30 => ( 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))) % 191.92/192.30 => ( 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))) % 191.92/192.30 => ( ! [B_x1] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 191.92/192.30 => ! [B_x2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 191.92/192.30 => 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)) ) ) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__rec__0,axiom, % 191.92/192.30 ! [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 ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__rec__Suc,axiom, % 191.92/192.30 ! [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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_UN__equiv__class__type,axiom, % 191.92/192.30 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 191.92/192.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 191.92/192.30 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 191.92/192.30 => ( 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))) % 191.92/192.30 => ( ! [B_x] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 191.92/192.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 191.92/192.30 => 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)) ) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__special_I3_J,axiom, % 191.92/192.30 ! [V_x_2,T_b] : % 191.92/192.30 ( class_Int_Onumber__ring(T_b) % 191.92/192.30 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 191.92/192.30 <=> 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)))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__special_I1_J,axiom, % 191.92/192.30 ! [V_y_2,T_b] : % 191.92/192.30 ( class_Int_Onumber__ring(T_b) % 191.92/192.30 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 191.92/192.30 <=> 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)))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_iszero__def,axiom, % 191.92/192.30 ! [V_z_2,T_b] : % 191.92/192.30 ( class_Rings_Osemiring__1(T_b) % 191.92/192.30 => ( c_Int_Oiszero(T_b,V_z_2) % 191.92/192.30 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_iszero__0,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Rings_Osemiring__1(T_a) % 191.92/192.30 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__iszero__1,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Rings_Osemiring__1(T_a) % 191.92/192.30 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_iszero__Numeral0,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_eq__number__of__eq,axiom, % 191.92/192.30 ! [V_y_2,V_x_2,T_b] : % 191.92/192.30 ( class_Int_Onumber__ring(T_b) % 191.92/192.30 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 191.92/192.30 <=> 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)))) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_power__number__of__odd__number__of,axiom, % 191.92/192.30 ! [V_v_2,V_w_2,T_b] : % 191.92/192.30 ( class_Int_Onumber__ring(T_b) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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))) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_zpower__number__of__odd,axiom, % 191.92/192.30 ! [V_z_2,V_w_2] : % 191.92/192.30 ( ( 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))) % 191.92/192.30 => 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))) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => 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) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_power__number__of__odd,axiom, % 191.92/192.30 ! [V_z_2,V_w_2,T_b] : % 191.92/192.30 ( class_Int_Onumber__ring(T_b) % 191.92/192.30 => ( ( 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))) % 191.92/192.30 => 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))) ) % 191.92/192.30 & ( ~ 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))) % 191.92/192.30 => 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) ) ) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I46_J,axiom, % 191.92/192.30 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I39_J,axiom, % 191.92/192.30 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I51_J,axiom, % 191.92/192.30 ! [V_l_2,V_k_2] : % 191.92/192.30 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 191.92/192.30 <=> V_k_2 = V_l_2 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__eq__int__code_I16_J,axiom, % 191.92/192.30 ! [V_k2_2,V_k1_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I34_J,axiom, % 191.92/192.30 ! [V_l_2,V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_less__int__code_I16_J,axiom, % 191.92/192.30 ! [V_k2_2,V_k1_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I17_J,axiom, % 191.92/192.30 ! [V_l_2,V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_bin__less__0__simps_I4_J,axiom, % 191.92/192.30 ! [V_w_2] : % 191.92/192.30 ( 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))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I22_J,axiom, % 191.92/192.30 ! [V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I12_J,axiom, % 191.92/192.30 ! [V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Bit1__def,axiom, % 191.92/192.30 ! [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) ). % 191.92/192.30 % 191.92/192.30 fof(fact_neg__number__of__Bit1,axiom, % 191.92/192.30 ! [V_w_2] : % 191.92/192.30 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 191.92/192.30 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_minus__Bit1,axiom, % 191.92/192.30 ! [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))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_iszero__number__of__Bit1,axiom, % 191.92/192.30 ! [V_w,T_a] : % 191.92/192.30 ( ( class_Int_Onumber__ring(T_a) % 191.92/192.30 & class_Int_Oring__char__0(T_a) ) % 191.92/192.30 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_succ__Pls,axiom, % 191.92/192.30 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 191.92/192.30 % 191.92/192.30 fof(fact_number__of__Bit1,axiom, % 191.92/192.30 ! [V_w,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__numeral__1__right,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_mult__numeral__1,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_semiring__norm_I110_J,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_numeral__1__eq__1,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I5_J,axiom, % 191.92/192.30 ! [V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_rel__simps_I29_J,axiom, % 191.92/192.30 ! [V_k_2] : % 191.92/192.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 191.92/192.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__Numeral1,axiom, % 191.92/192.30 ! [V_x,T_a] : % 191.92/192.30 ( ( class_Fields_Ofield(T_a) % 191.92/192.30 & class_Int_Onumber__ring(T_a) ) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_divide__numeral__1,axiom, % 191.92/192.30 ! [V_a,T_a] : % 191.92/192.30 ( ( class_Fields_Ofield(T_a) % 191.92/192.30 & class_Int_Onumber__ring(T_a) ) % 191.92/192.30 => 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 ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_one__is__num__one,axiom, % 191.92/192.30 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_nat__numeral__1__eq__1,axiom, % 191.92/192.30 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Numeral1__eq1__nat,axiom, % 191.92/192.30 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 191.92/192.30 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 191.92/192.30 % 191.92/192.30 fof(fact_not__iszero__Numeral1,axiom, % 191.92/192.30 ! [T_a] : % 191.92/192.30 ( class_Int_Onumber__ring(T_a) % 191.92/192.30 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 191.92/192.30 % 191.92/192.30 fof(fact_one__code__numeral__code,axiom, % 191.92/192.30 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)) ). % 191.92/192.30 % 191.92/192.30 fof(fact_numeral__3__eq__3,axiom, % 191.92/192.30 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)))) ). % 191.92/192.31 % 191.92/192.31 fof(fact_numeral__1__eq__Suc__0,axiom, % 191.92/192.31 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)) ). % 191.92/192.31 % 191.92/192.31 fof(fact_power3__eq__cube,axiom, % 191.92/192.31 ! [V_a,T_a] : % 191.92/192.31 ( class_Groups_Omonoid__mult(T_a) % 191.92/192.31 => 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) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 191.92/192.31 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))))) ). % 191.92/192.31 % 191.92/192.31 fof(fact_Suc3__eq__add__3,axiom, % 191.92/192.31 ! [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) ). % 191.92/192.31 % 191.92/192.31 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 191.92/192.31 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)))) ). % 191.92/192.31 % 191.92/192.31 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 191.92/192.31 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)))) ). % 191.92/192.31 % 191.92/192.31 fof(fact_le__special_I4_J,axiom, % 191.92/192.31 ! [V_x_2,T_b] : % 191.92/192.31 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.31 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.31 => ( 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))) % 191.92/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_le__special_I2_J,axiom, % 191.92/192.31 ! [V_y_2,T_b] : % 191.92/192.31 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.31 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.31 => ( 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))) % 191.92/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_less__special_I2_J,axiom, % 191.92/192.31 ! [V_y_2,T_b] : % 191.92/192.31 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.31 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.31 => ( 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))) % 191.92/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_less__special_I4_J,axiom, % 191.92/192.31 ! [V_x_2,T_b] : % 191.92/192.31 ( ( class_Int_Onumber__ring(T_b) % 191.92/192.31 & class_Rings_Olinordered__idom(T_b) ) % 191.92/192.31 => ( 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))) % 191.92/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_add__special_I3_J,axiom, % 191.92/192.31 ! [V_v,T_a] : % 191.92/192.31 ( class_Int_Onumber__ring(T_a) % 191.92/192.31 => 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))) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_add__special_I2_J,axiom, % 191.92/192.31 ! [V_w,T_a] : % 191.92/192.31 ( class_Int_Onumber__ring(T_a) % 191.92/192.31 => 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)) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_Suc__diff__eq__diff__pred,axiom, % 191.92/192.31 ! [V_m,V_n] : % 191.92/192.31 ( 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)) % 191.92/192.31 => 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)))) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 191.92/192.31 ! [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)) ). % 191.92/192.31 % 191.92/192.31 fof(fact_Suc__mod__eq__add3__mod,axiom, % 191.92/192.31 ! [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) ). % 191.92/192.31 % 191.92/192.31 fof(fact_mod__Suc__eq__mod__add3,axiom, % 191.92/192.31 ! [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)) ). % 191.92/192.31 % 191.92/192.31 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 191.92/192.31 ! [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)) ). % 191.92/192.31 % 191.92/192.31 fof(fact_Suc__div__eq__add3__div,axiom, % 191.92/192.31 ! [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) ). % 191.92/192.31 % 191.92/192.31 fof(fact_div__Suc__eq__div__add3,axiom, % 191.92/192.31 ! [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)) ). % 191.92/192.31 % 191.92/192.31 fof(fact_diff__special_I1_J,axiom, % 191.92/192.31 ! [V_w,T_a] : % 191.92/192.31 ( class_Int_Onumber__ring(T_a) % 191.92/192.31 => 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))) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_diff__special_I2_J,axiom, % 191.92/192.31 ! [V_v,T_a] : % 191.92/192.31 ( class_Int_Onumber__ring(T_a) % 191.92/192.31 => 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)))) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_eq__special_I4_J,axiom, % 191.92/192.31 ! [V_x_2,T_b] : % 191.92/192.31 ( class_Int_Onumber__ring(T_b) % 191.92/192.31 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 191.92/192.31 <=> 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))))) ) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_eq__special_I2_J,axiom, % 191.92/192.31 ! [V_y_2,T_b] : % 191.92/192.31 ( class_Int_Onumber__ring(T_b) % 191.92/192.31 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 191.92/192.31 <=> 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)))) ) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_nat__number__of__Bit1,axiom, % 191.92/192.31 ! [V_w_2] : % 191.92/192.31 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 191.92/192.31 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 191.92/192.31 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 191.92/192.31 => 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)))) ) ) ). % 191.92/192.31 % 191.92/192.31 fof(fact_neg__zmod__mult__2,axiom, % 191.92/192.31 ! [V_b,V_a] : % 191.92/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 191.92/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zmod__number__of__Bit1,axiom, % 192.26/192.31 ! [V_v,V_w] : % 192.26/192.31 ( ( 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))) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ 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))) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_arith__series__int,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I49_J,axiom, % 192.26/192.31 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I50_J,axiom, % 192.26/192.31 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I14_J,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__int__code_I13_J,axiom, % 192.26/192.31 ! [V_k2_2,V_k1_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I31_J,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__eq__int__code_I13_J,axiom, % 192.26/192.31 ! [V_k2_2,V_k1_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult__Bit0,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I48_J,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 192.26/192.31 <=> V_k_2 = V_l_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_minus__Bit0,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__Bit0__Bit0,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Bit0__def,axiom, % 192.26/192.31 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I7_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Bit0__Pls,axiom, % 192.26/192.31 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I38_J,axiom, % 192.26/192.31 ! [V_l_2] : % 192.26/192.31 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 192.26/192.31 <=> c_Int_OPls = V_l_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I44_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 192.26/192.31 <=> V_k_2 = c_Int_OPls ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_bin__less__0__simps_I3_J,axiom, % 192.26/192.31 ! [V_w_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I21_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I27_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I32_J,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__eq__int__code_I14_J,axiom, % 192.26/192.31 ! [V_k2_2,V_k1_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I4_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I10_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I16_J,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__int__code_I15_J,axiom, % 192.26/192.31 ! [V_k2_2,V_k1_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__Bit1__Bit0,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__Bit0__Bit1,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I3_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I9_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I10_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zdiv__number__of__Bit0,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_neg__number__of__Bit0,axiom, % 192.26/192.31 ! [V_w_2] : % 192.26/192.31 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 192.26/192.31 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__Bit1,axiom, % 192.26/192.31 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__Bit0,axiom, % 192.26/192.31 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_iszero__number__of__Bit0,axiom, % 192.26/192.31 ! [V_w_2,T_b] : % 192.26/192.31 ( ( class_Int_Onumber__ring(T_b) % 192.26/192.31 & class_Int_Oring__char__0(T_b) ) % 192.26/192.31 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 192.26/192.31 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_succ__Bit0,axiom, % 192.26/192.31 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 192.26/192.31 % 192.26/192.31 fof(fact_succ__Bit1,axiom, % 192.26/192.31 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__number__of__Bit0,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_number__of__Bit0,axiom, % 192.26/192.31 ! [V_w,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__eq__int__code_I15_J,axiom, % 192.26/192.31 ! [V_k2_2,V_k1_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I33_J,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__int__code_I14_J,axiom, % 192.26/192.31 ! [V_k2_2,V_k1_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I15_J,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_card__UNIV__bool,axiom, % 192.26/192.31 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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult__Bit1,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I8_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__Bit1__Bit1,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__number__of__even,axiom, % 192.26/192.31 ! [V_w_2,V_z_2,T_b] : % 192.26/192.31 ( class_Int_Onumber__ring(T_b) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zpower__number__of__even,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_double__number__of__Bit0,axiom, % 192.26/192.31 ! [V_w,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_number__of1,axiom, % 192.26/192.31 ! [V_n] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( 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)))) % 192.26/192.31 & 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 192.26/192.31 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__number__of__even__number__of,axiom, % 192.26/192.31 ! [V_w_2,V_v_2,T_b] : % 192.26/192.31 ( class_Int_Onumber__ring(T_b) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult__2,axiom, % 192.26/192.31 ! [V_z,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult__2__right,axiom, % 192.26/192.31 ! [V_z,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_one__add__one__is__two,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zero__eq__power2,axiom, % 192.26/192.31 ! [V_a_2,T_b] : % 192.26/192.31 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 192.26/192.31 => ( 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) % 192.26/192.31 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zero__power2,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( class_Rings_Osemiring__1(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_numeral__2__eq__2,axiom, % 192.26/192.31 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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_semiring__norm_I115_J,axiom, % 192.26/192.31 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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 192.26/192.31 ! [V_x,T_a] : % 192.26/192.31 ( class_Rings_Ocomm__semiring__1(T_a) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__eq__square,axiom, % 192.26/192.31 ! [V_a,T_a] : % 192.26/192.31 ( class_Groups_Omonoid__mult(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 192.26/192.31 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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__2__eq__Suc_H,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__2__eq__Suc,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_one__power2,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( class_Rings_Osemiring__1(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__minus,axiom, % 192.26/192.31 ! [V_a,T_a] : % 192.26/192.31 ( class_Rings_Oring__1(T_a) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__mult__2__right,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__mult__2,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__even__eq,axiom, % 192.26/192.31 ! [V_n,V_a,T_a] : % 192.26/192.31 ( class_Groups_Omonoid__mult(T_a) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 192.26/192.31 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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 192.26/192.31 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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_abs__power2,axiom, % 192.26/192.31 ! [V_a,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__abs,axiom, % 192.26/192.31 ! [V_a,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__1__add__1,axiom, % 192.26/192.31 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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod2__Suc__Suc,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div2__Suc__Suc,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zmod__number__of__Bit0,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__self__div__2,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_half__gt__zero__iff,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 192.26/192.31 & class_Int_Onumber__ring(T_b) ) % 192.26/192.31 => ( 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)))))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_half__gt__zero,axiom, % 192.26/192.31 ! [V_r,T_a] : % 192.26/192.31 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 192.26/192.31 & class_Int_Onumber__ring(T_a) ) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 192.26/192.31 => 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)))))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zero__le__power2,axiom, % 192.26/192.31 ! [V_a,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => 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),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__le__imp__le,axiom, % 192.26/192.31 ! [V_y,V_x,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__semidom(T_a) % 192.26/192.31 => ( 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)))))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__eq__imp__eq,axiom, % 192.26/192.31 ! [V_y,V_x,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__semidom(T_a) % 192.26/192.31 => ( 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)))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 192.26/192.31 => V_x = V_y ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__less__0,axiom, % 192.26/192.31 ! [V_a,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => ~ 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zero__less__power2,axiom, % 192.26/192.31 ! [V_a_2,T_b] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_b) % 192.26/192.31 => ( 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)))))) % 192.26/192.31 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sum__power2__eq__zero__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,T_b] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_b) % 192.26/192.31 => ( 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) % 192.26/192.31 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 192.26/192.31 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__eq__square__number__of,axiom, % 192.26/192.31 ! [V_w,T_b] : % 192.26/192.31 ( ( class_Groups_Omonoid__mult(T_b) % 192.26/192.31 & class_Int_Onumber(T_b) ) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__2__cases,axiom, % 192.26/192.31 ! [V_n] : % 192.26/192.31 ( 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))))) % 192.26/192.31 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__2,axiom, % 192.26/192.31 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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__eq__1__iff,axiom, % 192.26/192.31 ! [V_a_2,T_b] : % 192.26/192.31 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 192.26/192.31 => ( 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) % 192.26/192.31 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 192.26/192.31 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 192.26/192.31 ! [V_n,V_x,T_a] : % 192.26/192.31 ( class_Rings_Ocomm__semiring__1(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__minus__even,axiom, % 192.26/192.31 ! [V_n,V_a,T_a] : % 192.26/192.31 ( class_Rings_Oring__1(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__less__imp__less,axiom, % 192.26/192.31 ! [V_y,V_x,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__semidom(T_a) % 192.26/192.31 => ( 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)))))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sum__power2__ge__zero,axiom, % 192.26/192.31 ! [V_y,V_x,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => 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_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))))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sum__power2__le__zero__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,T_b] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_b) % 192.26/192.31 => ( 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))) % 192.26/192.31 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 192.26/192.31 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_not__sum__power2__lt__zero,axiom, % 192.26/192.31 ! [V_y,V_x,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => ~ 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sum__power2__gt__zero__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,T_b] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_b) % 192.26/192.31 => ( 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_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))))))) % 192.26/192.31 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 192.26/192.31 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__sum,axiom, % 192.26/192.31 ! [V_y,V_x,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zero__le__even__power_H,axiom, % 192.26/192.31 ! [V_n,V_a,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => 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),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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__odd__eq,axiom, % 192.26/192.31 ! [V_n,V_a,T_a] : % 192.26/192.31 ( class_Groups_Omonoid__mult(T_a) % 192.26/192.31 => 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))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 192.26/192.31 ! [V_n,V_x,T_a] : % 192.26/192.31 ( class_Rings_Ocomm__semiring__1(T_a) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__minus1__even,axiom, % 192.26/192.31 ! [V_n,T_a] : % 192.26/192.31 ( class_Rings_Oring__1(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zdiv__number__of__Bit1,axiom, % 192.26/192.31 ! [V_v,V_w] : % 192.26/192.31 ( ( 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))) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ 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))) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod2__gr__0,axiom, % 192.26/192.31 ! [V_m_2] : % 192.26/192.31 ( 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)))))) % 192.26/192.31 <=> 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__2__gt__zero,axiom, % 192.26/192.31 ! [V_n] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 192.26/192.31 => 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)))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power2__diff,axiom, % 192.26/192.31 ! [V_y,V_x,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_odd__0__le__power__imp__0__le,axiom, % 192.26/192.31 ! [V_n,V_a,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => ( 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),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))))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_odd__power__less__zero,axiom, % 192.26/192.31 ! [V_n,V_a,T_a] : % 192.26/192.31 ( class_Rings_Olinordered__idom(T_a) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 192.26/192.31 => 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,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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__minus1__odd,axiom, % 192.26/192.31 ! [V_n,T_a] : % 192.26/192.31 ( class_Rings_Oring__1(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Suc__n__div__2__gt__zero,axiom, % 192.26/192.31 ! [V_n] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 192.26/192.31 => 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)))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_of__nat__double,axiom, % 192.26/192.31 ! [V_x,T_a] : % 192.26/192.31 ( class_Rings_Osemiring__1(T_a) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pos__zmod__mult__2,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_neg__zdiv__mult__2,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pos__zdiv__mult__2,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_int__of__code,axiom, % 192.26/192.31 ! [V_k] : % 192.26/192.31 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 192.26/192.31 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 192.26/192.31 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 192.26/192.31 => ( ( 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) % 192.26/192.31 => 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)))))) ) % 192.26/192.31 & ( 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) % 192.26/192.31 => 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)) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_of__int__num,axiom, % 192.26/192.31 ! [V_k_2,T_b] : % 192.26/192.31 ( class_Rings_Oring__1(T_b) % 192.26/192.31 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 192.26/192.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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))) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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))))) ) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__m1__odd,axiom, % 192.26/192.31 ! [V_n,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I45_J,axiom, % 192.26/192.31 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I42_J,axiom, % 192.26/192.31 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I37_J,axiom, % 192.26/192.31 c_Int_OPls != c_Int_OMin ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I40_J,axiom, % 192.26/192.31 c_Int_OMin != c_Int_OPls ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I24_J,axiom, % 192.26/192.31 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I7_J,axiom, % 192.26/192.31 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I47_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 192.26/192.31 <=> V_k_2 = c_Int_OMin ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I43_J,axiom, % 192.26/192.31 ! [V_l_2] : % 192.26/192.31 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 192.26/192.31 <=> c_Int_OMin = V_l_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Bit1__Min,axiom, % 192.26/192.31 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 192.26/192.31 % 192.26/192.31 fof(fact_bin__less__0__simps_I2_J,axiom, % 192.26/192.31 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I20_J,axiom, % 192.26/192.31 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I23_J,axiom, % 192.26/192.31 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I30_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I26_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I3_J,axiom, % 192.26/192.31 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I6_J,axiom, % 192.26/192.31 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I13_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I9_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I28_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I8_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_eq__number__of__Pls__Min,axiom, % 192.26/192.31 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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Int_OMin__def,axiom, % 192.26/192.31 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult__Min,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_neg__number__of__Min,axiom, % 192.26/192.31 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__Pls,axiom, % 192.26/192.31 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__Min,axiom, % 192.26/192.31 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add__Min__right,axiom, % 192.26/192.31 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__Min,axiom, % 192.26/192.31 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nonzero__number__of__Min,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_succ__Min,axiom, % 192.26/192.31 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I2_J,axiom, % 192.26/192.31 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult__minus1,axiom, % 192.26/192.31 ! [V_z,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult__minus1__right,axiom, % 192.26/192.31 ! [V_z,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_arith__simps_I31_J,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_number__of__Min,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_abs__minus__one,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( ( class_Int_Onumber__ring(T_a) % 192.26/192.31 & class_Rings_Olinordered__idom(T_a) ) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divide__minus1,axiom, % 192.26/192.31 ! [V_x,T_a] : % 192.26/192.31 ( ( class_Fields_Ofield__inverse__zero(T_a) % 192.26/192.31 & class_Int_Onumber__ring(T_a) ) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I25_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__simps_I11_J,axiom, % 192.26/192.31 ! [V_k_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zmod__minus1__right,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I4_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_minus__Min,axiom, % 192.26/192.31 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 192.26/192.31 ! [V_n,V_m] : % 192.26/192.31 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 192.26/192.31 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 192.26/192.31 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zmult__eq__1__iff,axiom, % 192.26/192.31 ! [V_na_2,V_m_2] : % 192.26/192.31 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 192.26/192.31 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 192.26/192.31 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 192.26/192.31 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 192.26/192.31 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I5_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_diff__bin__simps_I6_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_of__int__m1,axiom, % 192.26/192.31 ! [T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zdiv__minus1__right,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_minus1__divide,axiom, % 192.26/192.31 ! [V_x,T_a] : % 192.26/192.31 ( ( class_Fields_Ofield__inverse__zero(T_a) % 192.26/192.31 & class_Int_Onumber__ring(T_a) ) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_abs__power__minus__one,axiom, % 192.26/192.31 ! [V_n,T_a] : % 192.26/192.31 ( ( class_Int_Onumber__ring(T_a) % 192.26/192.31 & class_Rings_Olinordered__idom(T_a) ) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__eq__minus1,axiom, % 192.26/192.31 ! [V_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__pos__neg__trivial,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( 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))) % 192.26/192.31 => 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) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zmod__minus1,axiom, % 192.26/192.31 ! [V_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_power__m1__even,axiom, % 192.26/192.31 ! [V_n,T_a] : % 192.26/192.31 ( class_Int_Onumber__ring(T_a) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nitpick_OFrac__def,axiom, % 192.26/192.31 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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_int__ge__less__than2__def,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_int__ge__less__than__def,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_congruent__def,axiom, % 192.26/192.31 ! [V_f_2,V_r_2,T_c,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 192.26/192.31 <=> ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_inj__graph,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Image__Collect__split,axiom, % 192.26/192.31 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nitpick_Oprod__def,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__rel__def,axiom, % 192.26/192.31 ! [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))))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_adjust__eq,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_congruent2D,axiom, % 192.26/192.31 ! [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] : % 192.26/192.31 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 192.26/192.31 => ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_congruentD,axiom, % 192.26/192.31 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 192.26/192.31 => ( 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)) % 192.26/192.31 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_enum__all__prod__def,axiom, % 192.26/192.31 ! [V_Pa_2,T_b,T_c] : % 192.26/192.31 ( ( class_Enum_Oenum(T_c) % 192.26/192.31 & class_Enum_Oenum(T_b) ) % 192.26/192.31 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 192.26/192.31 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_bot__empty__eq2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_inf__Int__eq2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__equals__eq2,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,T_c,T_b] : % 192.26/192.31 ( 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) % 192.26/192.31 <=> V_R_2 = V_S_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__rel__0,axiom, % 192.26/192.31 ! [V_b] : % 192.26/192.31 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_self__remainder,axiom, % 192.26/192.31 ! [V_r,V_q,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_unique__quotient,axiom, % 192.26/192.31 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => V_q = V_q_H ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_unique__remainder,axiom, % 192.26/192.31 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => V_r = V_r_H ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_self__quotient,axiom, % 192.26/192.31 ! [V_r,V_q,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__subset__eq2,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,T_c,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sup__Un__eq2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_enum__ex__prod__def,axiom, % 192.26/192.31 ! [V_Pa_2,T_b,T_c] : % 192.26/192.31 ( ( class_Enum_Oenum(T_c) % 192.26/192.31 & class_Enum_Oenum(T_b) ) % 192.26/192.31 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 192.26/192.31 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__rel__div__mod,axiom, % 192.26/192.31 ! [V_a,V_b] : % 192.26/192.31 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__rel__div,axiom, % 192.26/192.31 ! [V_r,V_q,V_b,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__rel__mod,axiom, % 192.26/192.31 ! [V_r,V_q,V_b,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rev__ImageI,axiom, % 192.26/192.31 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Image__iff,axiom, % 192.26/192.31 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 192.26/192.31 <=> ? [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 192.26/192.31 & 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zadd1__lemma,axiom, % 192.26/192.31 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zminus1__lemma,axiom, % 192.26/192.31 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => 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))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__relI,axiom, % 192.26/192.31 ! [V_r,V_q,V_b,V_a] : % 192.26/192.31 ( 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) % 192.26/192.31 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zmult1__lemma,axiom, % 192.26/192.31 ! [V_a,V_r,V_q,V_c,V_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_INF__INT__eq2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_SUP__UN__eq2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__correct,axiom, % 192.26/192.31 ! [V_a,V_b] : % 192.26/192.31 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zmult2__lemma,axiom, % 192.26/192.31 ! [V_c,V_r,V_q,V_b,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__mod__div,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equivp__equiv,axiom, % 192.26/192.31 ! [V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Image__singleton__iff,axiom, % 192.26/192.31 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 192.26/192.31 ( 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)))))) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__class__eq,axiom, % 192.26/192.31 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_quotient__eq__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 192.26/192.31 => ( V_X_2 = V_Y_2 % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_quotient__eqI,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Image__singleton,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_eq__equiv__class,axiom, % 192.26/192.31 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_eq__equiv__class__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 192.26/192.31 => ( 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)))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__class__eq__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 <=> ( 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)))) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__class__subset,axiom, % 192.26/192.31 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.31 => 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)))))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_eq__equiv__class__iff2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 192.26/192.31 => ( 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) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_subset__equiv__class,axiom, % 192.26/192.31 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( 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)))))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__class__nondisjoint,axiom, % 192.26/192.31 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( 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))))))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_adjust__def,axiom, % 192.26/192.31 ! [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))))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__imageI,axiom, % 192.26/192.31 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_norm__frac_Osimps,axiom, % 192.26/192.31 ! [V_a_2,V_b_2] : % 192.26/192.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 192.26/192.31 => 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))) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 192.26/192.31 ! [V_w] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) % 192.26/192.31 => 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))) ) % 192.26/192.31 & ( ~ 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sup2CI,axiom, % 192.26/192.31 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 192.26/192.31 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sup2E,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_inf2E,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_inf2I,axiom, % 192.26/192.31 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mem__splitI,axiom, % 192.26/192.31 ! [T_d,T_c,V_b_2,V_a_2,V_ca_2,V_z_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_splitI,axiom, % 192.26/192.31 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_prod__caseI,axiom, % 192.26/192.31 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_bot2E,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__Pair,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_swap__inj__on,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_splitD_H,axiom, % 192.26/192.31 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 192.26/192.31 ( 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_ca_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_predicate2D,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rev__predicate2D,axiom, % 192.26/192.31 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_inf2D2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_inf2D1,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sup2I2,axiom, % 192.26/192.31 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sup2I1,axiom, % 192.26/192.31 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__paired__All,axiom, % 192.26/192.31 ! [T_c,T_b,V_Pa_2] : % 192.26/192.31 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 192.26/192.31 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Pair__eq,axiom, % 192.26/192.31 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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) % 192.26/192.31 <=> ( V_a_2 = V_a_H_2 % 192.26/192.31 & V_b_2 = V_b_H_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Pair__inject,axiom, % 192.26/192.31 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 192.26/192.31 ( 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) % 192.26/192.31 => ~ ( V_a = V_a_H % 192.26/192.31 => V_b != V_b_H ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__weak__cong,axiom, % 192.26/192.31 ! [V_ca_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 192.26/192.31 ( V_p_2 = V_q_2 % 192.26/192.31 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_q_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg__correct,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__twice,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__conv,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_prod_Osimps_I2_J,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_splitD,axiom, % 192.26/192.31 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg__div__mod,axiom, % 192.26/192.31 ! [V_l,V_k] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg__minus1,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__eta,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_The__split__eq,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__paired__The,axiom, % 192.26/192.31 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg_Osimps,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( ( ( 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_a),V_b))) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ ( 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_a),V_b))) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg__eqn__number__of,axiom, % 192.26/192.31 ! [V_w,V_v] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( 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(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 192.26/192.31 => 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))) ) % 192.26/192.31 & ( ~ 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(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg__eqn,axiom, % 192.26/192.31 ! [V_a,V_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => ( ( 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_a),V_b))) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ 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_a),V_b))) % 192.26/192.31 => 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))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__rel__def,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__mod__code__numeral__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nitpick_Orefl_H__def,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 192.26/192.31 <=> ! [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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 192.26/192.31 ! [V_w] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( 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))) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ 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))) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg_Osimps,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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) ) % 192.26/192.31 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg__eqn__number__of,axiom, % 192.26/192.31 ! [V_w,V_v] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( 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))) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ 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))) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg__0,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg__correct,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg__div__mod,axiom, % 192.26/192.31 ! [V_l,V_k] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg__eqn,axiom, % 192.26/192.31 ! [V_a,V_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 192.26/192.31 => 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) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 192.26/192.31 => 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))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__def,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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))) ) ) ) ) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => 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))) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__step,axiom, % 192.26/192.31 ! [V_m,V_n] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__pdivmod,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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) ) % 192.26/192.31 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)))) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apsnd__compose,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negateSnd__def,axiom, % 192.26/192.31 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__zero,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apsnd__conv,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__base,axiom, % 192.26/192.31 ! [V_n,V_m] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apsnd__id,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negateSnd__eq,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__div__mod,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__rel__neg,axiom, % 192.26/192.31 ! [V_qr,V_b,V_a] : % 192.26/192.31 ( 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)) % 192.26/192.31 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__if,axiom, % 192.26/192.31 ! [V_m_2,V_na_2] : % 192.26/192.31 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 192.26/192.31 => 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) ) % 192.26/192.31 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pdivmod__def,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pdivmod__posDivAlg,axiom, % 192.26/192.31 ! [V_k,V_l] : % 192.26/192.31 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__int__code,axiom, % 192.26/192.31 ! [V_l_2,V_k_2] : % 192.26/192.31 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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) ) % 192.26/192.31 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 => 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)))) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_UN__equiv__class__inject,axiom, % 192.26/192.31 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 192.26/192.31 => ( 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) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => ! [B_y] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 192.26/192.31 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) ) % 192.26/192.31 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 192.26/192.31 ! [V_c,V_r,V_q,V_b,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 192.26/192.31 ! [V_a,V_r,V_q,V_c,V_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__rel__unique,axiom, % 192.26/192.31 ! [V_qr_H,V_qr,V_n,V_m] : % 192.26/192.31 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 192.26/192.31 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 192.26/192.31 => V_qr = V_qr_H ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__eq,axiom, % 192.26/192.31 ! [V_qr,V_n,V_m] : % 192.26/192.31 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 192.26/192.31 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 192.26/192.31 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__eq,axiom, % 192.26/192.31 ! [V_r,V_q,V_n,V_m] : % 192.26/192.31 ( 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))) % 192.26/192.31 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__eq,axiom, % 192.26/192.31 ! [V_r,V_q,V_n,V_m] : % 192.26/192.31 ( 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))) % 192.26/192.31 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__rel,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__rel__add1__eq,axiom, % 192.26/192.31 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 192.26/192.31 => 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)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__Suc__I,axiom, % 192.26/192.31 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 192.26/192.31 => ( 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)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__Suc__I2,axiom, % 192.26/192.31 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 192.26/192.31 => ( 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))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__0__E,axiom, % 192.26/192.31 ! [V_R_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),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))) % 192.26/192.31 => V_x_2 = V_y_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__1,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__0__I,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg_Opsimps,axiom, % 192.26/192.31 ! [V_b_2,V_a_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( ( 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_a_2),V_b_2))) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ ( 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_a_2),V_b_2))) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg_Opsimps,axiom, % 192.26/192.31 ! [V_b_2,V_a_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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) ) % 192.26/192.31 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => 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))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__pos__neg__1__number__of,axiom, % 192.26/192.31 ! [V_w] : % 192.26/192.31 ( 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))) % 192.26/192.31 => 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))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__conv,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__eqD,axiom, % 192.26/192.31 ! [V_a,V_y,V_x,T_a,T_b] : % 192.26/192.31 ( 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 % 192.26/192.31 => V_y = V_a ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_measure__snd,axiom, % 192.26/192.31 ! [T_c,V_f_2,T_b] : % 192.26/192.31 ( c_FunDef_Ois__measure(T_b,V_f_2) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_accp__downward,axiom, % 192.26/192.31 ! [V_a_2,V_b_2,V_r_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 192.26/192.31 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_accp_Oequations,axiom, % 192.26/192.31 ! [V_a_2,V_r_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 192.26/192.31 <=> ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 192.26/192.31 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_accp_Osimps,axiom, % 192.26/192.31 ! [V_a_2,V_r_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 192.26/192.31 <=> ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 192.26/192.31 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__def,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apsnd__eq__conv,axiom, % 192.26/192.31 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 192.26/192.31 ( 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) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__apsnd,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__int__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_accp__subset,axiom, % 192.26/192.31 ! [V_R2_2,V_R1_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__neg__pos,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__pos__pos,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__pos__pos__1__number__of,axiom, % 192.26/192.31 ! [V_w] : % 192.26/192.31 ( 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))) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__pos__neg,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__neg__neg,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_norm__frac_Opsimps,axiom, % 192.26/192.31 ! [V_b_2,V_a_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 192.26/192.31 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 192.26/192.31 => 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))) ) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_negDivAlg_Opinduct,axiom, % 192.26/192.31 ! [V_Pa_2,V_a1_2,V_a0_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ! [B_a,B_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( ~ ( 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),B_a),B_b))) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_posDivAlg_Opinduct,axiom, % 192.26/192.31 ! [V_Pa_2,V_a1_2,V_a0_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ! [B_a,B_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 192.26/192.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mod__nat__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__gcd_Opsimps,axiom, % 192.26/192.31 ! [V_y_2,V_x_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 192.26/192.31 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__measure,axiom, % 192.26/192.31 ! [V_f_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2))) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_irrefl__def,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Relation_Oirrefl(T_b,V_r_2) % 192.26/192.31 <=> ! [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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_norm__frac_Opinduct,axiom, % 192.26/192.31 ! [V_Pa_2,V_a1_2,V_a0_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ! [B_a,B_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__pos__neg__1__number__of,axiom, % 192.26/192.31 ! [V_w] : % 192.26/192.31 ( 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))) % 192.26/192.31 => 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))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__def,axiom, % 192.26/192.31 ! [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)))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_prod__eqI,axiom, % 192.26/192.31 ! [V_q,V_p,T_b,T_a] : % 192.26/192.31 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 192.26/192.31 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 192.26/192.31 => V_p = V_q ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Pair__fst__snd__eq,axiom, % 192.26/192.31 ! [T_c,T_b,V_t_2,V_s_2] : % 192.26/192.31 ( V_s_2 = V_t_2 % 192.26/192.31 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 192.26/192.31 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__apsnd,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__def,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Rep__Integ__inject,axiom, % 192.26/192.31 ! [V_y_2,V_x_2] : % 192.26/192.31 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 192.26/192.31 <=> V_x_2 = V_y_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__eqD,axiom, % 192.26/192.31 ! [V_a,V_y,V_x,T_b,T_a] : % 192.26/192.31 ( 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 % 192.26/192.31 => V_x = V_a ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__conv,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__collapse,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_surjective__pairing,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_prod__case__beta,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__int__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__beta,axiom, % 192.26/192.31 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__comp__eq,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__def,axiom, % 192.26/192.31 ! [V_p_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_split__comp,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_measure__fst,axiom, % 192.26/192.31 ! [T_c,V_f_2,T_b] : % 192.26/192.31 ( c_FunDef_Ois__measure(T_b,V_f_2) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_The__split,axiom, % 192.26/192.31 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__neg__pos,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__pos__pos,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__pos__pos__1__number__of,axiom, % 192.26/192.31 ! [V_w] : % 192.26/192.31 ( 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))) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__pos__neg,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__neg__neg,axiom, % 192.26/192.31 ! [V_b,V_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_prod__size__simp,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_conjI__realizer,axiom, % 192.26/192.31 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] : % 192.26/192.31 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 192.26/192.31 => ( hBOOL(hAPP(V_Qa_2,V_q_2)) % 192.26/192.31 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 192.26/192.31 & hBOOL(hAPP(V_Qa_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_exI__realizer,axiom, % 192.26/192.31 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_div__nat__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_divmod__nat__rel__def,axiom, % 192.26/192.31 ! [V_qr_2,V_na_2,V_m_2] : % 192.26/192.31 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2)) % 192.26/192.31 <=> ( 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)) % 192.26/192.31 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 192.26/192.31 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 192.26/192.31 => ( 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))) % 192.26/192.31 & 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)) ) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 192.26/192.31 => ( 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))) % 192.26/192.31 & 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))) ) ) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat__gcd_Opinduct,axiom, % 192.26/192.31 ! [V_Pa_2,V_a1_2,V_a0_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ! [B_x,B_y] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_inv__image__def,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_setsum__mult__setsum__if__inj,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 192.26/192.31 ( class_Rings_Osemiring__0(T_d) % 192.26/192.31 => ( 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))) % 192.26/192.31 => 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))))))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_SigmaI,axiom, % 192.26/192.31 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Times__eq__cancel2,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 192.26/192.31 => ( 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)) % 192.26/192.31 <=> V_A_2 = V_B_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__empty1,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__Diff__distrib2,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Times__Diff__distrib1,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__Diff__distrib1,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__Union,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_UN__Times__distrib,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_UNIV__char,axiom, % 192.26/192.31 c_Orderings_Otop__class_Otop(tc_fun(tc_String_Ochar,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_prod(tc_String_Onibble,tc_String_Onibble),tc_String_Ochar,hAPP(c_Product__Type_Oprod_Oprod__case(tc_String_Onibble,tc_String_Onibble,tc_String_Ochar),c_String_Ochar_OChar)),hAPP(hAPP(c_Product__Type_OSigma(tc_String_Onibble,tc_String_Onibble),c_Orderings_Otop__class_Otop(tc_fun(tc_String_Onibble,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(tc_String_Onibble,tc_HOL_Obool),tc_String_Onibble),c_Orderings_Otop__class_Otop(tc_fun(tc_String_Onibble,tc_HOL_Obool))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_card__cartesian__product,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_setsum__cartesian__product,axiom, % 192.26/192.31 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 192.26/192.31 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__empty2,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Times__empty,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Compl__Times__UNIV2,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Compl__Times__UNIV1,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_setprod__cartesian__product,axiom, % 192.26/192.31 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 192.26/192.31 ( class_Groups_Ocomm__monoid__mult(T_b) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__Un__distrib1,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Times__Un__distrib1,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__Un__distrib2,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_swap__product,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__cartesian__product,axiom, % 192.26/192.31 ! [V_B_2,T_c,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__type,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__Int__distrib2,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Times__Int__distrib1,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__Int__distrib1,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_UNIV__Times__UNIV,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mem__Sigma__iff,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_SigmaD1,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_SigmaD2,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_SigmaE2,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_card__cartesian__product__singleton,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Times__subset__cancel2,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 192.26/192.31 => ( 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)))) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_insert__times__insert,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Image__subset,axiom, % 192.26/192.31 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__cartesian__productD2,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_c,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__cartesian__productD1,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_c,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sigma__def,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Collect__split,axiom, % 192.26/192.31 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_SetCompr__Sigma__eq,axiom, % 192.26/192.31 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Qa_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__image__times,axiom, % 192.26/192.31 ! [V_A_2,T_c,T_b,V_B_2] : % 192.26/192.31 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 => 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 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__image__times,axiom, % 192.26/192.31 ! [V_B_2,T_c,T_b,V_A_2] : % 192.26/192.31 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 => 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 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__inv__image,axiom, % 192.26/192.31 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2))) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__equiv__class,axiom, % 192.26/192.31 ! [V_X_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( 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)))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_vimage__Times,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__quotient,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( 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)))) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_image__split__eq__Sigma,axiom, % 192.26/192.31 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rp__inv__image__def,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fold__image__Sigma,axiom, % 192.26/192.31 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 192.26/192.31 ( class_Groups_Ocomm__monoid__mult(T_d) % 192.26/192.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mlex__leq,axiom, % 192.26/192.31 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mlex__less,axiom, % 192.26/192.31 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__finite__psubset,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 192.26/192.31 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 192.26/192.31 ! [V_A_2,V_I_2,T_c,T_b] : % 192.26/192.31 ? [B_f] : % 192.26/192.31 ( 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)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__psubset__def,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_setprod__Sigma,axiom, % 192.26/192.31 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 192.26/192.31 ( class_Groups_Ocomm__monoid__mult(T_d) % 192.26/192.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_setsum__Sigma,axiom, % 192.26/192.31 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 192.26/192.31 ( class_Groups_Ocomm__monoid__add(T_d) % 192.26/192.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_card__SigmaI,axiom, % 192.26/192.31 ! [V_B_2,T_c,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 192.26/192.31 => 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) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Field__insert,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Field__Union,axiom, % 192.26/192.31 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Field__empty,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mono__Field,axiom, % 192.26/192.31 ! [V_s_2,V_r_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Field__Un,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__Field,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_prod_Orecs,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__SigmaI,axiom, % 192.26/192.31 ! [V_B_2,T_c,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => ( ! [B_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__on__def,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__on__def_H,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 <=> ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 192.26/192.31 => 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)) ) % 192.26/192.31 & ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__on__Id__on,axiom, % 192.26/192.31 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__on__def_H,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__on__empty,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__on__Un,axiom, % 192.26/192.31 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__on__Int,axiom, % 192.26/192.31 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__on__empty,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Image__Id__on,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__onD,axiom, % 192.26/192.31 ! [V_a_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__onD1,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__onD2,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__on__subset__Times,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__on__iff,axiom, % 192.26/192.31 ! [V_A_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2))) % 192.26/192.31 <=> ( V_x_2 = V_y_2 % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__on__eqI,axiom, % 192.26/192.31 ! [V_A_2,T_b,V_b_2,V_a_2] : % 192.26/192.31 ( V_a_2 = V_b_2 % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__on__def,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 <=> ( 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)))) % 192.26/192.31 & ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_reflp__def,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Predicate_Oreflp(T_b,V_r_2) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__onI,axiom, % 192.26/192.31 ! [V_A_2,V_r_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) % 192.26/192.31 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__lex__prod,axiom, % 192.26/192.31 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2)) % 192.26/192.31 | ( V_a_2 = V_a_H_2 % 192.26/192.31 & 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_same__fstI,axiom, % 192.26/192.31 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 192.26/192.31 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.31 => ( 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))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__onE,axiom, % 192.26/192.31 ! [V_A_2,V_ca_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_ca_2),c_Relation_OId__on(T_b,V_A_2))) % 192.26/192.31 => ~ ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apsnd__apfst,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apfst__apsnd,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__apfst,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apfst__eq__conv,axiom, % 192.26/192.31 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 192.26/192.31 ( 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) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apsnd__apfst__commute,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__apfst,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apfst__compose,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apfst__conv,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apfst__id,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__lessI2,axiom, % 192.26/192.31 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__E,axiom, % 192.26/192.31 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 192.26/192.31 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => V_x_2 != V_z_2 ) % 192.26/192.31 => ~ ! [B_y,B_m] : % 192.26/192.31 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) % 192.26/192.31 => ~ 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)) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__lessI1,axiom, % 192.26/192.31 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__leqI2,axiom, % 192.26/192.31 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_smax__insertI,axiom, % 192.26/192.31 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_smax__emptyI,axiom, % 192.26/192.31 ! [V_Y_2] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 192.26/192.31 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__leqI1,axiom, % 192.26/192.31 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wmin__insertI,axiom, % 192.26/192.31 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wmax__insertI,axiom, % 192.26/192.31 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wmax__emptyI,axiom, % 192.26/192.31 ! [V_X_2] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wmin__emptyI,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_smin__insertI,axiom, % 192.26/192.31 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_min__weak__def,axiom, % 192.26/192.31 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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_min__strict__def,axiom, % 192.26/192.31 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 192.26/192.31 % 192.26/192.31 fof(fact_smin__emptyI,axiom, % 192.26/192.31 ! [V_X_2] : % 192.26/192.31 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__weak__def,axiom, % 192.26/192.31 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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_min__rpair__set,axiom, % 192.26/192.31 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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__strict__def,axiom, % 192.26/192.31 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rp__inv__image__rp,axiom, % 192.26/192.31 ! [V_f_2,T_c,V_Pa_2,T_b] : % 192.26/192.31 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 192.26/192.31 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__ext__additive,axiom, % 192.26/192.31 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__rpair__set,axiom, % 192.26/192.31 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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__extp__max__ext__eq,axiom, % 192.26/192.31 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 192.26/192.31 ( 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) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__intrel__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2] : % 192.26/192.31 ( 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)))) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__intrel,axiom, % 192.26/192.31 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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_intrel__iff,axiom, % 192.26/192.31 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_of__int,axiom, % 192.26/192.31 ! [V_j_2,V_i_2,T_b] : % 192.26/192.31 ( class_Rings_Oring__1(T_b) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_One__int__def,axiom, % 192.26/192.31 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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Rep__Integ__inverse,axiom, % 192.26/192.31 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 192.26/192.31 % 192.26/192.31 fof(fact_minus,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Zero__int__def,axiom, % 192.26/192.31 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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_int__def,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_add,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nat,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_minus__int__def,axiom, % 192.26/192.31 ! [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))))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less,axiom, % 192.26/192.31 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 192.26/192.31 ( 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))))))) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_le,axiom, % 192.26/192.31 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 192.26/192.31 ( 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))))))) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mult,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_eq__Abs__Integ,axiom, % 192.26/192.31 ! [V_z_2] : % 192.26/192.31 ~ ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__extp_Ointros,axiom, % 192.26/192.31 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 192.26/192.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 192.26/192.31 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 => ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 192.26/192.31 => ? [B_xa] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 192.26/192.31 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Integ__def,axiom, % 192.26/192.31 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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__extp_Osimps,axiom, % 192.26/192.31 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 192.26/192.31 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 192.26/192.31 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 192.26/192.31 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 & ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 192.26/192.31 => ? [B_xa] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Rep__Integ,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_less__than__iff,axiom, % 192.26/192.31 ! [V_y_2,V_x_2] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition__Integ,axiom, % 192.26/192.31 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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__less__def,axiom, % 192.26/192.31 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 192.26/192.31 % 192.26/192.31 fof(fact_measure__def,axiom, % 192.26/192.31 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 192.26/192.31 % 192.26/192.31 fof(fact_mlex__prod__def,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition_OAbs__image,axiom, % 192.26/192.31 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 192.26/192.31 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition_ORep__range,axiom, % 192.26/192.31 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 192.26/192.31 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 192.26/192.31 => 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 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition_ORep__inject,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 192.26/192.31 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 192.26/192.31 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 192.26/192.31 <=> V_x_2 = V_y_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition_ORep__inverse,axiom, % 192.26/192.31 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 192.26/192.31 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 192.26/192.31 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition_OAbs__inject,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 192.26/192.31 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 192.26/192.31 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 192.26/192.31 <=> V_x_2 = V_y_2 ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition_OAbs__inverse,axiom, % 192.26/192.31 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 192.26/192.31 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 192.26/192.31 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_type__definition_ORep,axiom, % 192.26/192.31 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 192.26/192.31 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__E2,axiom, % 192.26/192.31 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 192.26/192.31 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => V_x_2 != V_z_2 ) % 192.26/192.31 => ~ ! [B_y,B_m] : % 192.26/192.31 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 192.26/192.31 => ~ 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))) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_ImageE,axiom, % 192.26/192.31 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 192.26/192.31 => ~ ! [B_x] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_SigmaE,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,V_ca_2,T_c,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 192.26/192.31 => ~ ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => ! [B_y] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 192.26/192.31 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__surj,axiom, % 192.26/192.31 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__imageI,axiom, % 192.26/192.31 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__comp__map__pair,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__comp__map__pair,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair_Ocomp,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__compose,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair_Ocompositionality,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snd__prod__fun,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__ident,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_fst__map__pair,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__simp,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair_Oidentity,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apsnd__def,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_apfst__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair_Oid,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__surj__on,axiom, % 192.26/192.31 ! [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] : % 192.26/192.31 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 192.26/192.31 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_map__pair__inj__on,axiom, % 192.26/192.31 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 192.26/192.31 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_prod__fun__imageE,axiom, % 192.26/192.31 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_ca_2,T_c,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2))) % 192.26/192.31 => ~ ! [B_x,B_y] : % 192.26/192.31 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 192.26/192.31 => ~ 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_reflcl__set__eq,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_r_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_IdI,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Image__Id,axiom, % 192.26/192.31 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__in__Id__conv,axiom, % 192.26/192.31 ! [V_b_2,V_a_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b))) % 192.26/192.31 <=> V_a_2 = V_b_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_relpow_Osimps_I1_J,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__Id,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pair__leq__def,axiom, % 192.26/192.31 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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_refl__reflcl,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__def,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_irrefl__diff__Id,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_total__on__diff__Id,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_accp__acc__eq,axiom, % 192.26/192.31 ! [V_x_2,V_r_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_total__on__empty,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_acc__subset,axiom, % 192.26/192.31 ! [V_R2_2,V_R1_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_acc_Osimps,axiom, % 192.26/192.31 ! [V_r_2,V_a_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 192.26/192.31 <=> ! [B_x] : % 192.26/192.31 ( 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)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_acc__downward,axiom, % 192.26/192.31 ! [V_a_2,V_r_2,V_b_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_total__on__def,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 192.26/192.31 <=> ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.31 => ! [B_xa] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 192.26/192.31 => ( B_x != B_xa % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2)) % 192.26/192.31 | 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)) ) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__def,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__extp_Oequations,axiom, % 192.26/192.31 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 192.26/192.31 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 192.26/192.31 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 192.26/192.31 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 & ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 192.26/192.31 => ? [B_xa] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__compI,axiom, % 192.26/192.31 ! [V_s_2,V_ca_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ( 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_ca_2)),V_s_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_R__O__Id,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_Id__O__R,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__distrib2,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__distrib,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_relpow_Osimps_I2_J,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__commute,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_O__assoc,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__mono,axiom, % 192.26/192.31 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__empty2,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__empty1,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__UNION__distrib2,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__UNION__distrib,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__pow__add,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_union__comp__emptyR,axiom, % 192.26/192.31 ! [V_C_2,V_B_2,V_A_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_union__comp__emptyL,axiom, % 192.26/192.31 ! [V_B_2,V_C_2,V_A_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rel__comp__subset__Sigma,axiom, % 192.26/192.31 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => ( 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)))) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__ext__compat,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_min__ext__compat,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__comp__rel__comp__eq,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_reduction__pairI,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_R_2) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__less__than,axiom, % 192.26/192.31 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__comp_Ointros,axiom, % 192.26/192.31 ! [T_d,T_c,T_b,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__empty,axiom, % 192.26/192.31 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__inv__image,axiom, % 192.26/192.31 ! [V_f_2,T_c,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__lex__prod,axiom, % 192.26/192.31 ! [V_rb_2,T_c,V_ra_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_ra_2) % 192.26/192.31 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 192.26/192.31 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__measure,axiom, % 192.26/192.31 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__union__merge,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__comp__self,axiom, % 192.26/192.31 ! [V_R_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_R_2) % 192.26/192.31 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__no__loop,axiom, % 192.26/192.31 ! [V_R_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__less,axiom, % 192.26/192.31 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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_max__ext__wf,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_min__ext__wf,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__mlex,axiom, % 192.26/192.31 ! [V_f_2,V_R_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_R_2) % 192.26/192.31 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__int__ge__less__than2,axiom, % 192.26/192.31 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__int__ge__less__than,axiom, % 192.26/192.31 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__subset,axiom, % 192.26/192.31 ! [V_p_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => ( 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)) % 192.26/192.31 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__Int2,axiom, % 192.26/192.31 ! [V_r_H_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__Int1,axiom, % 192.26/192.31 ! [V_r_H_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__comp_Oequations,axiom, % 192.26/192.31 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> ? [B_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 192.26/192.31 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_eq__comp__r,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__exp,axiom, % 192.26/192.31 ! [V_R_2,V_na_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__finite__psubset,axiom, % 192.26/192.31 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__pair__less,axiom, % 192.26/192.31 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__not__refl,axiom, % 192.26/192.31 ! [V_a_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__not__sym,axiom, % 192.26/192.31 ! [V_x_2,V_a_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__asym,axiom, % 192.26/192.31 ! [V_x_2,V_a_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__irrefl,axiom, % 192.26/192.31 ! [V_a_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_acc__wfD,axiom, % 192.26/192.31 ! [V_x_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__acc__iff,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 <=> ~ ? [B_f] : % 192.26/192.31 ! [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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wfE__pf,axiom, % 192.26/192.31 ! [V_A_2,V_R_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_R_2) % 192.26/192.31 => ( 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))) % 192.26/192.31 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__union__compatible,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_R_2) % 192.26/192.31 => ( c_Wellfounded_Owf(T_b,V_S_2) % 192.26/192.31 => ( 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)) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf,axiom, % 192.26/192.31 ! [T_b] : % 192.26/192.31 ( class_Orderings_Owellorder(T_b) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_reduction__pair__def,axiom, % 192.26/192.31 ! [V_Pa_2,T_b] : % 192.26/192.31 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 192.26/192.31 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_reduction__pair__lemma,axiom, % 192.26/192.31 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 192.26/192.31 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 192.26/192.31 => ( c_Wellfounded_Owf(T_b,V_S_2) % 192.26/192.31 => 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)) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__map__pair__image,axiom, % 192.26/192.31 ! [V_f_2,T_c,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 192.26/192.31 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__lenlex,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__if__measure,axiom, % 192.26/192.31 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 192.26/192.31 ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(V_Pa_2,B_x)) % 192.26/192.31 => 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))) ) % 192.26/192.31 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_pred__nat__def,axiom, % 192.26/192.31 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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lenlex__def,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__lex,axiom, % 192.26/192.31 ! [V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__pred__nat,axiom, % 192.26/192.31 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lenlex__conv,axiom, % 192.26/192.31 ! [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)))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lex__def,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_wf__lexn,axiom, % 192.26/192.31 ! [V_na_2,V_r_2,T_b] : % 192.26/192.31 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.31 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexn_Osimps_I1_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexn__length,axiom, % 192.26/192.31 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2))) % 192.26/192.31 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2 % 192.26/192.31 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexn_Osimps_I2_J,axiom, % 192.26/192.31 ! [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(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)))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__lex,axiom, % 192.26/192.31 ! [V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 192.26/192.31 & 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) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__cons__cons,axiom, % 192.26/192.31 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_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))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.31 | ( V_a_2 = V_b_2 % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_not__Cons__self,axiom, % 192.26/192.31 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 192.26/192.31 % 192.26/192.31 fof(fact_not__Cons__self2,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Oinject,axiom, % 192.26/192.31 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 192.26/192.31 ( 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) % 192.26/192.31 <=> ( V_a_2 = V_a_H_2 % 192.26/192.31 & V_list_2 = V_list_H_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Cons__eq__appendI,axiom, % 192.26/192.31 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 192.26/192.31 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 192.26/192.31 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 192.26/192.31 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__Cons,axiom, % 192.26/192.31 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_impossible__Cons,axiom, % 192.26/192.31 ! [V_x,V_ys,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys))) % 192.26/192.31 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__append__left__rightI,axiom, % 192.26/192.31 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osize_I4_J,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__append__leftI,axiom, % 192.26/192.31 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Cons__in__lex,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_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))) % 192.26/192.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) % 192.26/192.31 | ( V_x_2 = V_y_2 % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__Cons__def,axiom, % 192.26/192.31 ! [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)))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sublist__Cons,axiom, % 192.26/192.31 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sublists_Osimps_I1_J,axiom, % 192.26/192.31 ! [T_a] : c_Enum_Osublists(T_a,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osimps_I2_J,axiom, % 192.26/192.31 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osimps_I3_J,axiom, % 192.26/192.31 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append1__eq__conv,axiom, % 192.26/192.31 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) % 192.26/192.31 <=> ( V_xs_2 = V_ys_2 % 192.26/192.31 & V_x_2 = V_y_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Cons__eq__append__conv,axiom, % 192.26/192.31 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) % 192.26/192.31 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 192.26/192.31 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 192.26/192.31 | ? [B_ys_H] : % 192.26/192.31 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 192.26/192.31 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__eq__Cons__conv,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 192.26/192.31 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 192.26/192.31 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 192.26/192.31 | ? [B_ys_H] : % 192.26/192.31 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 192.26/192.31 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_n__lists__Nil,axiom, % 192.26/192.31 ! [T_a,V_n] : % 192.26/192.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ) % 192.26/192.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_n__lists_Osimps_I1_J,axiom, % 192.26/192.31 ! [V_xs,T_a] : c_Enum_On__lists(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xs) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__Cons__sing__Nil,axiom, % 192.26/192.31 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__0__conv,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osize_I3_J,axiom, % 192.26/192.31 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rotate1__is__Nil__conv,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__Nil,axiom, % 192.26/192.31 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nil__is__append__conv,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 192.26/192.31 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 192.26/192.31 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__Nil2,axiom, % 192.26/192.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 192.26/192.31 % 192.26/192.31 fof(fact_self__append__conv,axiom, % 192.26/192.31 ! [V_ys_2,T_b,V_xs_2] : % 192.26/192.31 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 192.26/192.31 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_self__append__conv2,axiom, % 192.26/192.31 ! [V_xs_2,T_b,V_ys_2] : % 192.26/192.31 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 192.26/192.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__is__Nil__conv,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 192.26/192.31 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 192.26/192.31 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__self__conv,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 192.26/192.31 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__self__conv2,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 192.26/192.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_eq__Nil__appendI,axiom, % 192.26/192.31 ! [T_a,V_ys,V_xs] : % 192.26/192.31 ( V_xs = V_ys % 192.26/192.31 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sublist__nil,axiom, % 192.26/192.31 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sublist__empty,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__greater__0__conv,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rotate__simps,axiom, % 192.26/192.31 ! [V_xs,V_x,T_b,T_a] : % 192.26/192.31 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 192.26/192.31 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__Nil__right,axiom, % 192.26/192.31 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nil__notin__lex,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Nil2__notin__lex,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sublist__singleton,axiom, % 192.26/192.31 ! [V_x_2,T_b,V_A_2] : % 192.26/192.31 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 192.26/192.31 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 192.26/192.31 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rotate1__def,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_snoc__listrel1__snoc__iff,axiom, % 192.26/192.31 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.31 & V_x_2 = V_y_2 ) % 192.26/192.31 | ( V_xs_2 = V_ys_2 % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Cons__acc__listrel1I,axiom, % 192.26/192.31 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 192.26/192.31 => ( 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)))) % 192.26/192.31 => 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)))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1__mono,axiom, % 192.26/192.31 ! [V_s_2,V_r_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1I2,axiom, % 192.26/192.31 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1__eq__len,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.31 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_not__Nil__listrel1,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_not__listrel1__Nil,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__listrel1I,axiom, % 192.26/192.31 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.31 & V_us_2 = V_vs_2 ) % 192.26/192.31 | ( V_xs_2 = V_ys_2 % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osimps_I5_J,axiom, % 192.26/192.31 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osimps_I4_J,axiom, % 192.26/192.31 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ). % 192.26/192.31 % 192.26/192.31 fof(fact_Cons__listrel1__Cons,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_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))) % 192.26/192.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 & V_xs_2 = V_ys_2 ) % 192.26/192.31 | ( V_x_2 = V_y_2 % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1I1,axiom, % 192.26/192.31 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1I,axiom, % 192.26/192.31 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2)) % 192.26/192.31 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listset_Osimps_I1_J,axiom, % 192.26/192.31 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__Cons,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__Nil2,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__Nil1,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__mono,axiom, % 192.26/192.31 ! [V_s_2,V_r_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__eq__len,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel_ONil,axiom, % 192.26/192.31 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__Nil,axiom, % 192.26/192.31 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1__subset__listrel,axiom, % 192.26/192.31 ! [V_r_H_2,V_r_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listset_Osimps_I2_J,axiom, % 192.26/192.31 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel_OCons,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrelp__listrel__eq,axiom, % 192.26/192.31 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 192.26/192.31 ( 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) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__Cons1,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 => ~ ! [B_y,B_ys] : % 192.26/192.31 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 192.26/192.31 => ( 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)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrelp_ONil,axiom, % 192.26/192.31 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrelp_Oequations_I1_J,axiom, % 192.26/192.31 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrelp_Oequations_I2_J,axiom, % 192.26/192.31 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 192.26/192.31 ( 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)) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 192.26/192.31 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrelp_OCons,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 192.26/192.31 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__Cons2,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 => ~ ! [B_x,B_xs] : % 192.26/192.31 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 192.26/192.31 => ( 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)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1E,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.31 => ~ ! [B_x,B_y] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 192.26/192.31 => ! [B_us,B_vs] : % 192.26/192.31 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 192.26/192.31 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__append__leftD,axiom, % 192.26/192.31 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) % 192.26/192.31 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_anamorph_Osimps,axiom, % 192.26/192.31 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 192.26/192.31 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 192.26/192.31 => 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) ) % 192.26/192.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osize_I2_J,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__subset,axiom, % 192.26/192.31 ! [V_A_2,V_r_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => 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))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lists_ONil,axiom, % 192.26/192.31 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lists__UNIV,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lists__mono,axiom, % 192.26/192.31 ! [V_B_2,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__in__lists__conv,axiom, % 192.26/192.31 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_equiv__listrel,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__refl__on,axiom, % 192.26/192.31 ! [V_r_2,V_A_2,T_b] : % 192.26/192.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.31 => 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)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list_Osize_I1_J,axiom, % 192.26/192.31 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Cons__in__lists__iff,axiom, % 192.26/192.31 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( 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))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lists__empty,axiom, % 192.26/192.31 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lists__accD,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lists__accI,axiom, % 192.26/192.31 ! [V_r_2,V_xs_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__append__rightI,axiom, % 192.26/192.31 ! [V_r_2,V_x_2,T_b,V_y_2] : % 192.26/192.31 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__Nil__left,axiom, % 192.26/192.31 ! [V_r_2,V_y_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 192.26/192.31 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_infinite__UNIV__listI,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__iff__nth,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 192.26/192.31 & ! [B_n] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__irreflexive,axiom, % 192.26/192.31 ! [V_y_2,V_r_2,T_b] : % 192.26/192.31 ( ! [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)) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__Cons__Suc,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__Cons__0,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__eq__iff__nth__eq,axiom, % 192.26/192.31 ! [T_b,V_ys_2,V_xs_2] : % 192.26/192.31 ( V_xs_2 = V_ys_2 % 192.26/192.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 192.26/192.31 & ! [B_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth_Osimps,axiom, % 192.26/192.31 ! [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) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_na_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__append__length,axiom, % 192.26/192.31 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__append__length__plus,axiom, % 192.26/192.31 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__append,axiom, % 192.26/192.31 ! [V_ys,V_xs,T_a,V_n] : % 192.26/192.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__Cons_H,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a,V_n] : % 192.26/192.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 192.26/192.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__Cons__number__of,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a,V_v] : % 192.26/192.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => 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 ) % 192.26/192.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lexord__take__index__conv,axiom, % 192.26/192.31 ! [V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 192.26/192.31 <=> ( ( 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))) % 192.26/192.31 & 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 ) % 192.26/192.31 | ? [B_i] : % 192.26/192.31 ( 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)))) % 192.26/192.31 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__lists__length__le,axiom, % 192.26/192.31 ! [V_na_2,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => 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))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__set,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__take,axiom, % 192.26/192.31 ! [V_xs,T_a,V_n,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 192.26/192.31 => 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) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__n__lists,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__empty,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__empty2,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 192.26/192.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_List_Oset_Osimps_I1_J,axiom, % 192.26/192.31 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__eq__Nil,axiom, % 192.26/192.31 ! [V_xs_2,V_na_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.31 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__0,axiom, % 192.26/192.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__Nil,axiom, % 192.26/192.31 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__set__sublistD,axiom, % 192.26/192.31 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_notin__set__sublistI,axiom, % 192.26/192.31 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 => ~ 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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__set__takeD,axiom, % 192.26/192.31 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__take,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__take,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__rotate1,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__append,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sublists__powset,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__ConsD,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => ( V_y_2 = V_x_2 % 192.26/192.31 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_List_Oset_Osimps_I2_J,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__Suc__Cons,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__Cons,axiom, % 192.26/192.31 ! [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)) = 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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sublist__upt__eq__take,axiom, % 192.26/192.31 ! [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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__subset__Cons,axiom, % 192.26/192.31 ! [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)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__all,axiom, % 192.26/192.31 ! [V_n,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__take__subset,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__take__subset__set__take,axiom, % 192.26/192.31 ! [V_xs_2,T_b,V_na_2,V_m_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_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)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__sublist__subset,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__append,axiom, % 192.26/192.31 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__1__Cons,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_card__length,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_all__set__conv__all__nth,axiom, % 192.26/192.31 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.31 ( ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.31 <=> ! [B_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__size__estimation,axiom, % 192.26/192.31 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__size__estimation_H,axiom, % 192.26/192.31 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 192.26/192.31 => 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))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__lists__conv__set,axiom, % 192.26/192.31 ! [V_A_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 192.26/192.31 <=> ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__n__lists__elem,axiom, % 192.26/192.31 ! [V_xs_2,V_na_2,V_ys_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_2,V_xs_2)))) % 192.26/192.31 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__pos__if__in__set,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__mem,axiom, % 192.26/192.31 ! [V_xs_2,T_b,V_na_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__set__conv__nth,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 <=> ? [B_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_lists__eq__set,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__conv__nth,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__Cons_H,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a,V_n] : % 192.26/192.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 192.26/192.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__Cons__number__of,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a,V_v] : % 192.26/192.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 192.26/192.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_finite__lists__length__eq,axiom, % 192.26/192.31 ! [V_na_2,V_A_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.31 => 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))))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__sublist,axiom, % 192.26/192.31 ! [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))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__Suc__conv__app__nth,axiom, % 192.26/192.31 ! [V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel__iff__zip,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 192.26/192.31 & ! [B_x] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => 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)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__ex1__iff__raw,axiom, % 192.26/192.31 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.31 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 192.26/192.31 <=> ? [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 & hBOOL(hAPP(V_Pa_2,B_x)) % 192.26/192.31 & ! [B_y] : % 192.26/192.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 192.26/192.31 => B_y = B_x ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__zip,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__Cons__Cons,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__Cons,axiom, % 192.26/192.31 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__Cons1,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__append,axiom, % 192.26/192.31 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 192.26/192.31 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us) % 192.26/192.31 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs) % 192.26/192.31 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__zip,axiom, % 192.26/192.31 ! [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)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__Nil,axiom, % 192.26/192.31 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip_Osimps_I1_J,axiom, % 192.26/192.31 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__ex1__simps_I1_J,axiom, % 192.26/192.31 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__eq__iff__zip__eq,axiom, % 192.26/192.31 ! [T_b,V_ys_2,V_xs_2] : % 192.26/192.31 ( V_xs_2 = V_ys_2 % 192.26/192.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 192.26/192.31 & ! [B_x] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__set__zipE,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__zip__rightD,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__zip__leftD,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 192.26/192.31 ( 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)))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__same,axiom, % 192.26/192.31 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),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)))) % 192.26/192.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 & V_a_2 = V_b_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__zip,axiom, % 192.26/192.31 ! [V_ys,T_b,V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => ( 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))) % 192.26/192.31 => 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)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__ex1__iff,axiom, % 192.26/192.31 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.31 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 192.26/192.31 <=> ? [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 & hBOOL(hAPP(V_Pa_2,B_x)) % 192.26/192.31 & ! [B_y] : % 192.26/192.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 192.26/192.31 => B_y = B_x ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__zip,axiom, % 192.26/192.31 ! [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)))))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_product__list__set,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_id__take__nth__drop,axiom, % 192.26/192.31 ! [V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_in__set__dropD,axiom, % 192.26/192.31 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__drop__subset,axiom, % 192.26/192.31 ! [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))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__zip,axiom, % 192.26/192.31 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__via__drop,axiom, % 192.26/192.31 ! [V_ys,V_y,V_xs,V_n,T_a] : % 192.26/192.31 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__Nil,axiom, % 192.26/192.31 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__drop,axiom, % 192.26/192.31 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__0,axiom, % 192.26/192.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__drop,axiom, % 192.26/192.31 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__1__Cons,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__Suc__Cons,axiom, % 192.26/192.31 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__take__drop__id,axiom, % 192.26/192.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__drop,axiom, % 192.26/192.31 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__take,axiom, % 192.26/192.31 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_product_Osimps_I1_J,axiom, % 192.26/192.31 ! [V_uu,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,c_List_Olist_ONil(T_a),V_uu) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__drop__subset__set__drop,axiom, % 192.26/192.31 ! [V_xs_2,T_b,V_m_2,V_na_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__all,axiom, % 192.26/192.31 ! [V_n,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 192.26/192.31 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__eq__Nil,axiom, % 192.26/192.31 ! [V_xs_2,V_na_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_na_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__append,axiom, % 192.26/192.31 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__eq__conv__conj,axiom, % 192.26/192.31 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 192.26/192.31 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) % 192.26/192.31 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__Cons,axiom, % 192.26/192.31 ! [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)) = 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) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__Cons_H,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a,V_n] : % 192.26/192.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 192.26/192.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__drop,axiom, % 192.26/192.31 ! [V_xs,T_a,V_i,V_n] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_append__eq__append__conv__if,axiom, % 192.26/192.31 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 192.26/192.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 192.26/192.31 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 192.26/192.31 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 192.26/192.31 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 192.26/192.31 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__append2,axiom, % 192.26/192.31 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__append1,axiom, % 192.26/192.31 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__drop_H,axiom, % 192.26/192.31 ! [V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__Cons__number__of,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a,V_v] : % 192.26/192.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 192.26/192.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__add,axiom, % 192.26/192.31 ! [V_xs,T_a,V_j,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__hd__drop,axiom, % 192.26/192.31 ! [V_xs,T_a,V_n] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_upd__conv__take__nth__drop,axiom, % 192.26/192.31 ! [V_a,V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__list__update__neq,axiom, % 192.26/192.31 ! [V_x,V_xs,T_a,V_j,V_i] : % 192.26/192.31 ( V_i != V_j % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__id,axiom, % 192.26/192.31 ! [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 ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__code_I1_J,axiom, % 192.26/192.31 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update_Osimps_I1_J,axiom, % 192.26/192.31 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__nonempty,axiom, % 192.26/192.31 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 192.26/192.31 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 192.26/192.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__list__update,axiom, % 192.26/192.31 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__code_I2_J,axiom, % 192.26/192.31 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__code_I3_J,axiom, % 192.26/192.31 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_hd_Osimps,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__beyond,axiom, % 192.26/192.31 ! [V_x,V_i,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)) % 192.26/192.31 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__swap,axiom, % 192.26/192.31 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 192.26/192.31 ( V_i != V_i_H % 192.26/192.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__overwrite,axiom, % 192.26/192.31 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ). % 192.26/192.31 % 192.26/192.31 fof(fact_update__zip,axiom, % 192.26/192.31 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_zip__update,axiom, % 192.26/192.31 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_hd__append,axiom, % 192.26/192.31 ! [V_ys,T_a,V_xs] : % 192.26/192.31 ( ( V_xs = c_List_Olist_ONil(T_a) % 192.26/192.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) ) % 192.26/192.31 & ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_hd__append2,axiom, % 192.26/192.31 ! [V_ys,T_a,V_xs] : % 192.26/192.31 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__update__subsetI,axiom, % 192.26/192.31 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__update__subset__insert,axiom, % 192.26/192.31 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__append1,axiom, % 192.26/192.31 ! [V_x,V_ys,V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__length,axiom, % 192.26/192.31 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__list__update,axiom, % 192.26/192.31 ! [V_x,V_j,V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => ( ( V_i = V_j % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x ) % 192.26/192.31 & ( V_i != V_j % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__same__conv,axiom, % 192.26/192.31 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 192.26/192.31 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__list__update__eq,axiom, % 192.26/192.31 ! [V_x,V_xs,T_a,V_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update_Osimps_I2_J,axiom, % 192.26/192.31 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_hd__in__set,axiom, % 192.26/192.31 ! [T_b,V_xs_2] : % 192.26/192.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_hd__conv__nth,axiom, % 192.26/192.31 ! [T_a,V_xs] : % 192.26/192.31 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.31 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_set__update__memI,axiom, % 192.26/192.31 ! [V_x_2,V_xs_2,T_b,V_na_2] : % 192.26/192.31 ( 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))) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_na_2),V_x_2)))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_list__update__append,axiom, % 192.26/192.31 ! [V_x,V_ys,V_xs,T_a,V_n] : % 192.26/192.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) ) % 192.26/192.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_hd__drop__conv__nth,axiom, % 192.26/192.31 ! [V_n,T_a,V_xs] : % 192.26/192.31 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_listrel1__iff__update,axiom, % 192.26/192.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.31 <=> ? [B_y,B_n] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2)) % 192.26/192.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_rotate1__hd__tl,axiom, % 192.26/192.31 ! [T_a,V_xs] : % 192.26/192.31 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.31 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_tl__drop,axiom, % 192.26/192.31 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__tl,axiom, % 192.26/192.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_tl_Osimps_I2_J,axiom, % 192.26/192.31 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 192.26/192.31 % 192.26/192.31 fof(fact_tl_Osimps_I1_J,axiom, % 192.26/192.31 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.31 % 192.26/192.31 fof(fact_tl__append2,axiom, % 192.26/192.31 ! [V_ys,T_a,V_xs] : % 192.26/192.31 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.31 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__tl,axiom, % 192.26/192.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_drop__Suc,axiom, % 192.26/192.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_tl__append,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_length__tl,axiom, % 192.26/192.31 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_tl__take,axiom, % 192.26/192.31 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ). % 192.26/192.31 % 192.26/192.31 fof(fact_take__Suc,axiom, % 192.26/192.31 ! [V_n,T_a,V_xs] : % 192.26/192.31 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_fold1__set,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 192.26/192.31 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.31 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__list__update,axiom, % 192.26/192.31 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__tl,axiom, % 192.26/192.31 ! [V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_foldl__Nil,axiom, % 192.26/192.31 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct_Osimps_I1_J,axiom, % 192.26/192.31 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__product,axiom, % 192.26/192.31 ! [V_ys,T_b,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_foldl__append,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_foldl__Cons,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__take,axiom, % 192.26/192.31 ! [V_i,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_start__le__sum,axiom, % 192.26/192.31 ! [V_ns_2,V_na_2,V_m_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 192.26/192.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_ns_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct1__rotate,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 192.26/192.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__n__lists,axiom, % 192.26/192.31 ! [V_n,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_foldl__assoc,axiom, % 192.26/192.31 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 192.26/192.31 ( class_Groups_Osemigroup__add(T_b) % 192.26/192.31 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__sublistI,axiom, % 192.26/192.31 ! [V_I_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_foldl__absorb0,axiom, % 192.26/192.31 ! [V_zs_2,V_x_2,T_b] : % 192.26/192.31 ( class_Groups_Omonoid__add(T_b) % 192.26/192.31 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__zipI1,axiom, % 192.26/192.31 ! [V_ys,T_b,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__zipI2,axiom, % 192.26/192.31 ! [V_xs,T_b,V_ys,T_a] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_sum__eq__0__conv,axiom, % 192.26/192.31 ! [V_ns_2,V_m_2] : % 192.26/192.31 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.31 & ! [B_x] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 192.26/192.31 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__drop,axiom, % 192.26/192.31 ! [V_i,V_xs,T_a] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct_Osimps_I2_J,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 192.26/192.31 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.31 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__card,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.31 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_card__distinct,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 192.26/192.31 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_nth__eq__iff__index__eq,axiom, % 192.26/192.31 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) % 192.26/192.31 <=> V_i_2 = V_j_2 ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__conv__nth,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.31 <=> ! [B_i] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => ! [B_j] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.31 => ( B_i != B_j % 192.26/192.31 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_distinct__append,axiom, % 192.26/192.31 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 192.26/192.31 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.31 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 192.26/192.31 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sup__set__fold,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.31 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_elem__le__sum,axiom, % 192.26/192.31 ! [V_ns_2,V_na_2] : % 192.26/192.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 192.26/192.31 => 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))) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Inf__set__fold,axiom, % 192.26/192.31 ! [V_xs_2,T_b] : % 192.26/192.31 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.31 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Sup__fin__set__fold,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( class_Lattices_Olattice(T_b) % 192.26/192.31 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ). % 192.26/192.31 % 192.26/192.31 fof(fact_Inf__fin__set__fold,axiom, % 192.26/192.31 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.31 ( class_Lattices_Olattice(T_b) % 192.26/192.31 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ). % 192.26/192.31 % 192.26/192.32 fof(fact_Min__fin__set__fold,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Max__fin__set__fold,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_OInf__fin__set__fold,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_OSup__fin__set__fold,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_SUPR__set__fold,axiom, % 192.26/192.32 ! [V_f_2,V_xs_2,T_c,T_b] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_INFI__set__fold,axiom, % 192.26/192.32 ! [V_f_2,V_xs_2,T_c,T_b] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_hd__rotate__conv__nth,axiom, % 192.26/192.32 ! [V_n,T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__drop__take,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__rotate,axiom, % 192.26/192.32 ! [V_xs_2,V_na_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2))) % 192.26/192.32 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__rotate,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__add,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate1__rotate__swap,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__rotate,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate0,axiom, % 192.26/192.32 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__rotate,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__is__Nil__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_na_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.32 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__conv__mod,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__Suc,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__id,axiom, % 192.26/192.32 ! [V_xs,T_a,V_n] : % 192.26/192.32 ( 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) % 192.26/192.32 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__length01,axiom, % 192.26/192.32 ! [V_n,V_xs,T_a] : % 192.26/192.32 ( 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))) % 192.26/192.32 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_greaterThanLessThan__upto,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__list__update,axiom, % 192.26/192.32 ! [V_x,V_k,T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => ( ( 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)) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 192.26/192.32 & ( 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)) % 192.26/192.32 => 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) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__upto,axiom, % 192.26/192.32 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_atLeastAtMost__upto,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__upto,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upto__empty,axiom, % 192.26/192.32 ! [V_i,V_j] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 192.26/192.32 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last_Osimps,axiom, % 192.26/192.32 ! [V_x,T_a,V_xs] : % 192.26/192.32 ( ( V_xs = c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 192.26/192.32 & ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__ConsR,axiom, % 192.26/192.32 ! [V_x,T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__ConsL,axiom, % 192.26/192.32 ! [V_x,T_a,V_xs] : % 192.26/192.32 ( V_xs = c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__append,axiom, % 192.26/192.32 ! [V_xs,T_a,V_ys] : % 192.26/192.32 ( ( V_ys = c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 192.26/192.32 & ( V_ys != c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__appendR,axiom, % 192.26/192.32 ! [V_xs,T_a,V_ys] : % 192.26/192.32 ( V_ys != c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__appendL,axiom, % 192.26/192.32 ! [V_xs,T_a,V_ys] : % 192.26/192.32 ( V_ys = c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__in__set,axiom, % 192.26/192.32 ! [T_b,V_as_2] : % 192.26/192.32 ( V_as_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__snoc,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__drop,axiom, % 192.26/192.32 ! [V_xs,T_a,V_n] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upto_Osimps,axiom, % 192.26/192.32 ! [V_j,V_i] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 192.26/192.32 => 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)) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 192.26/192.32 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_atLeastLessThan__upto,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_greaterThanAtMost__upto,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upto__rec__number__of,axiom, % 192.26/192.32 ! [V_n,V_m] : % 192.26/192.32 ( ( 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))) % 192.26/192.32 => 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))) ) % 192.26/192.32 & ( ~ 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))) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__conv__nth,axiom, % 192.26/192.32 ! [T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upto_Opsimps,axiom, % 192.26/192.32 ! [V_j_2,V_i_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 192.26/192.32 => 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)) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 192.26/192.32 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__list__def,axiom, % 192.26/192.32 ! [V_l_2] : % 192.26/192.32 ( c_List_Onat__list(V_l_2) % 192.26/192.32 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upto_Opinduct,axiom, % 192.26/192.32 ! [V_Pa_2,V_a1_2,V_a0_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ( ! [B_i,B_j] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 192.26/192.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_lexord__linear,axiom, % 192.26/192.32 ! [V_y_2,V_x_2,V_r_2,T_b] : % 192.26/192.32 ( ! [B_a,B_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 | B_a = B_b % 192.26/192.32 | 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)) ) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 192.26/192.32 | V_x_2 = V_y_2 % 192.26/192.32 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_lists_Osimps,axiom, % 192.26/192.32 ! [V_A_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 192.26/192.32 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 192.26/192.32 | ? [B_a,B_l] : % 192.26/192.32 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__setsum__nth,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__append,axiom, % 192.26/192.32 ! [V_ys,V_xs,T_a] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_a) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_elem__le__listsum__nat,axiom, % 192.26/192.32 ! [V_ns,V_k] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__simps_I1_J,axiom, % 192.26/192.32 ! [T_a] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_a) % 192.26/192.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__simps_I2_J,axiom, % 192.26/192.32 ! [V_xs,V_x,T_a] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_a) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 192.26/192.32 ! [V_ns_2] : % 192.26/192.32 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 192.26/192.32 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__update__nat,axiom, % 192.26/192.32 ! [V_n,V_ns,V_k] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__foldl,axiom, % 192.26/192.32 ! [T_b] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__listsum__conv__Setsum,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__size__pointwise,axiom, % 192.26/192.32 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast__take,axiom, % 192.26/192.32 ! [V_xs,T_a,V_n] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast_Osimps_I1_J,axiom, % 192.26/192.32 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_x,T_a,V_xs] : % 192.26/192.32 ( ( V_xs = c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 192.26/192.32 & ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_drop__butlast,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast__drop,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__set__butlastD,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast__append,axiom, % 192.26/192.32 ! [V_xs,T_a,V_ys] : % 192.26/192.32 ( ( V_ys = c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 192.26/192.32 & ( V_ys != c_List_Olist_ONil(T_a) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__butlast,axiom, % 192.26/192.32 ! [T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__set__butlast__appendI,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 192.26/192.32 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 192.26/192.32 => 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))))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast__snoc,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_take__butlast,axiom, % 192.26/192.32 ! [V_xs,T_a,V_n] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__butlast,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast__conv__take,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_butlast__list__update,axiom, % 192.26/192.32 ! [V_x,V_xs,T_a,V_k] : % 192.26/192.32 ( ( 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)) % 192.26/192.32 => 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) ) % 192.26/192.32 & ( 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)) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_snoc__eq__iff__butlast,axiom, % 192.26/192.32 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 192.26/192.32 ( 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 % 192.26/192.32 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 192.26/192.32 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_append__butlast__last__id,axiom, % 192.26/192.32 ! [T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => 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 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nth__take__lemma,axiom, % 192.26/192.32 ! [V_ys,V_xs,T_a,V_k] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ( 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))) % 192.26/192.32 => ( ! [B_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 192.26/192.32 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 192.26/192.32 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Ocard_H__def,axiom, % 192.26/192.32 ! [V_A_2,T_b] : % 192.26/192.32 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => 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)))) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_exE__some,axiom, % 192.26/192.32 ! [T_b,V_ca_2,V_Pa_2] : % 192.26/192.32 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 192.26/192.32 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_quot__type_Ohomeier8,axiom, % 192.26/192.32 ! [V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 192.26/192.32 ( c_Quotient_Oquot__type(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_r_2)) % 192.26/192.32 => hAPP(V_R_2,c_Hilbert__Choice_OEps(T_b,hAPP(V_R_2,V_r_2))) = hAPP(V_R_2,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_tfl__some,axiom, % 192.26/192.32 ! [T_b,B_P] : % 192.26/192.32 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 192.26/192.32 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_someI,axiom, % 192.26/192.32 ! [T_b,V_x_2,V_Pa_2] : % 192.26/192.32 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_some__sym__eq__trivial,axiom, % 192.26/192.32 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 192.26/192.32 % 192.26/192.32 fof(fact_some__eq__trivial,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_some__eq__ex,axiom, % 192.26/192.32 ! [T_b,V_Pa_2] : % 192.26/192.32 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 192.26/192.32 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_someI__ex,axiom, % 192.26/192.32 ! [T_b,V_Pa_2] : % 192.26/192.32 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inv__into__def,axiom, % 192.26/192.32 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inv__def,axiom, % 192.26/192.32 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_LeastM__def,axiom, % 192.26/192.32 ! [V_Pa_2,V_m_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Oord(T_c) % 192.26/192.32 => c_Hilbert__Choice_OLeastM(T_b,T_c,V_m_2,V_Pa_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_Pa_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_Pa_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))))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_GreatestM__def,axiom, % 192.26/192.32 ! [V_Pa_2,V_m_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Oord(T_c) % 192.26/192.32 => hAPP(c_Hilbert__Choice_OGreatestM(T_b,T_c,V_m_2),V_Pa_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_Pa_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_Pa_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))))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_LeastM__nat__le,axiom, % 192.26/192.32 ! [T_b,V_m_2,V_x_2,V_Pa_2] : % 192.26/192.32 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => 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_Pa_2))),hAPP(V_m_2,V_x_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_LeastM__nat__lemma,axiom, % 192.26/192.32 ! [V_m_2,T_b,V_k_2,V_Pa_2] : % 192.26/192.32 ( hBOOL(hAPP(V_Pa_2,V_k_2)) % 192.26/192.32 => ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_Pa_2))) % 192.26/192.32 & ! [B_y] : % 192.26/192.32 ( hBOOL(hAPP(V_Pa_2,B_y)) % 192.26/192.32 => 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_Pa_2))),hAPP(V_m_2,B_y))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Eps__split__eq,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_split__paired__Eps,axiom, % 192.26/192.32 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Eps__split,axiom, % 192.26/192.32 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Greatest__def,axiom, % 192.26/192.32 ! [T_b] : % 192.26/192.32 ( class_Orderings_Oord(T_b) % 192.26/192.32 => c_Hilbert__Choice_OGreatest(T_b) = c_Hilbert__Choice_OGreatestM(T_b,T_b,c_COMBI(T_b)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__remove1__eq,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_LeastM__natI,axiom, % 192.26/192.32 ! [V_m_2,T_b,V_k_2,V_Pa_2] : % 192.26/192.32 ( hBOOL(hAPP(V_Pa_2,V_k_2)) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_Pa_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1__idem,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_notin__set__remove1,axiom, % 192.26/192.32 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ~ 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__set__remove1,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 192.26/192.32 ( V_a_2 != V_b_2 % 192.26/192.32 => ( 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)))) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__remove1__subset,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1__commute,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__remove1,axiom, % 192.26/192.32 ! [V_x,V_xs,T_a] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1_Osimps_I1_J,axiom, % 192.26/192.32 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs,T_a,V_y,V_x] : % 192.26/192.32 ( ( V_x = V_y % 192.26/192.32 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 192.26/192.32 & ( V_x != V_y % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1__append,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__remove1,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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)) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__list__of__set__remove,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_partition__set,axiom, % 192.26/192.32 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__list__of__set__empty,axiom, % 192.26/192.32 ! [T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_partition__P,axiom, % 192.26/192.32 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 & ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_partition_Osimps_I1_J,axiom, % 192.26/192.32 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_partition_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__list__of__set__insert,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => 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)))))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_lists__Int__eq,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp_ONil,axiom, % 192.26/192.32 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__insort,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__listsp__conv__set,axiom, % 192.26/192.32 ! [V_xs_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__insort,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp__conj__eq,axiom, % 192.26/192.32 ! [V_x_2,V_B_2,V_A_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 192.26/192.32 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__left__comm,axiom, % 192.26/192.32 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__key__left__comm,axiom, % 192.26/192.32 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp__inf__eq,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp__infI,axiom, % 192.26/192.32 ! [V_B_2,V_l_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_append__in__listsp__conv,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 192.26/192.32 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 192.26/192.32 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__key_Osimps_I1_J,axiom, % 192.26/192.32 ! [V_x_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp_Oequations_I1_J,axiom, % 192.26/192.32 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__not__Nil,axiom, % 192.26/192.32 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp_Oequations_I2_J,axiom, % 192.26/192.32 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 192.26/192.32 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 192.26/192.32 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__key_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( ( 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))) % 192.26/192.32 => 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)) ) % 192.26/192.32 & ( ~ 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))) % 192.26/192.32 => 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)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1__insort,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__insort,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => ( 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))) % 192.26/192.32 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp__mono,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsp__lists__eq,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_lists__IntI,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,V_l_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__insert__insort__key,axiom, % 192.26/192.32 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__insert__insort,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__insort__insert,axiom, % 192.26/192.32 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__insert__triv,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__insort__insert,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__insert__key__triv,axiom, % 192.26/192.32 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 192.26/192.32 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__def,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 <=> ( 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) % 192.26/192.32 & ! [B_x] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__same__fst,axiom, % 192.26/192.32 ! [T_b,V_R_2,T_c,V_Pa_2] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(V_Pa_2,B_x)) % 192.26/192.32 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 192.26/192.32 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__append,axiom, % 192.26/192.32 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 192.26/192.32 ( 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) % 192.26/192.32 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 192.26/192.32 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__lengthD,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__dropI,axiom, % 192.26/192.32 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 192.26/192.32 => c_List_Olist__all2(T_b,T_c,V_Pa_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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__eq,axiom, % 192.26/192.32 ! [T_b,V_ys_2,V_xs_2] : % 192.26/192.32 ( V_xs_2 = V_ys_2 % 192.26/192.32 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__takeI,axiom, % 192.26/192.32 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 => c_List_Olist__all2(T_b,T_c,V_Pa_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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__appendI,axiom, % 192.26/192.32 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) % 192.26/192.32 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_ca_2,V_d_2) % 192.26/192.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__Nil2,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 192.26/192.32 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__Nil,axiom, % 192.26/192.32 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 192.26/192.32 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__Cons,axiom, % 192.26/192.32 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 192.26/192.32 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 192.26/192.32 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__conv__all__nth,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 <=> ( 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) % 192.26/192.32 & ! [B_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__nthD,axiom, % 192.26/192.32 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 => ( 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))) % 192.26/192.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__nthD2,axiom, % 192.26/192.32 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 => ( 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))) % 192.26/192.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__update__cong2,axiom, % 192.26/192.32 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 192.26/192.32 => ( 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))) % 192.26/192.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__update__cong,axiom, % 192.26/192.32 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 192.26/192.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2I,axiom, % 192.26/192.32 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 192.26/192.32 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2) % 192.26/192.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_all__nth__imp__all__set,axiom, % 192.26/192.32 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( ! [B_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__removeAll,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_List_Oinsert__def,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_removeAll__append,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__removeAll,axiom, % 192.26/192.32 ! [V_x,V_xs,T_a] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__insert,axiom, % 192.26/192.32 ! [V_x,V_xs,T_a] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_removeAll_Osimps_I1_J,axiom, % 192.26/192.32 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.32 % 192.26/192.32 fof(fact_removeAll_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs,T_a,V_y,V_x] : % 192.26/192.32 ( ( V_x = V_y % 192.26/192.32 => 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) ) % 192.26/192.32 & ( V_x != V_y % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_removeAll__id,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__remove1__removeAll,axiom, % 192.26/192.32 ! [V_x,V_xs,T_a] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.32 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__set__insert,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_List_Oset__insert,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insert__Nil,axiom, % 192.26/192.32 ! [V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_not__in__set__insert,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Osetsum_H__def,axiom, % 192.26/192.32 ! [V_f_2,V_A_2,T_b,T_c] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_c) % 192.26/192.32 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => 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))))) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__filter__conv__card,axiom, % 192.26/192.32 ! [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))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inj__mapI,axiom, % 192.26/192.32 ! [V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_removeAll__filter__not__eq,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_removeAll__filter__not,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 192.26/192.32 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nth__map,axiom, % 192.26/192.32 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__fun__upd,axiom, % 192.26/192.32 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 192.26/192.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__map2,axiom, % 192.26/192.32 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 192.26/192.32 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__map1,axiom, % 192.26/192.32 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 192.26/192.32 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__map__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__map1,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__zip__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__zip__map2,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__map2,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__insort__triv,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__remove1,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_Qa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Qa_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1__filter__not,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 192.26/192.32 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__empty__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__map,axiom, % 192.26/192.32 ! [V_f_2,T_c,T_b,V_xs_2] : % 192.26/192.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sublists_Osimps_I2_J,axiom, % 192.26/192.32 ! [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))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_hd__map,axiom, % 192.26/192.32 ! [V_f_2,T_c,T_b,V_xs_2] : % 192.26/192.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map_Osimps_I2_J,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 192.26/192.32 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nil__is__map__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 192.26/192.32 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map_Osimps_I1_J,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter_Osimps_I1_J,axiom, % 192.26/192.32 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__is__Nil__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.32 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__filter,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldl__map,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__tl,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__append,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__append,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_take__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__injective,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( 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) % 192.26/192.32 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 192.26/192.32 => V_xs_2 = V_ys_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inj__map__eq__map,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 192.26/192.32 => ( 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) % 192.26/192.32 <=> V_xs_2 = V_ys_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__filter,axiom, % 192.26/192.32 ! [V_xs_2,V_Qa_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Qa_2)),V_Pa_2)),V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__ident,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 192.26/192.32 % 192.26/192.32 fof(fact_sublist__shift__lemma__Suc,axiom, % 192.26/192.32 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__same__conv__map,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_drop__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_List_Omap_Ocomp,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__comp__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_List_Omap_Ocompositionality,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__map,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__map,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_Pa_2),V_f_2)),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_List_Omap_Oid,axiom, % 192.26/192.32 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_List_Omap_Oidentity,axiom, % 192.26/192.32 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__is__subset,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__map,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__eq__conv,axiom, % 192.26/192.32 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( 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) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 192.26/192.32 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__id__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__filter__map,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_Pa_2),V_f_2)),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__butlast,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__filter__le,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sum__length__filter__compl,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__eq__imp__length__eq,axiom, % 192.26/192.32 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( 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) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__map,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__update,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__addf,axiom, % 192.26/192.32 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__0,axiom, % 192.26/192.32 ! [V_xs_2,T_c,T_b] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__mult__const,axiom, % 192.26/192.32 ! [V_xs_2,V_ca_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Rings_Osemiring__0(T_b) % 192.26/192.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_ca_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__const__mult,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,V_ca_2,T_c,T_b] : % 192.26/192.32 ( class_Rings_Osemiring__0(T_b) % 192.26/192.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__subtractf,axiom, % 192.26/192.32 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Groups_Oab__group__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_partition__filter1,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inj__on__map__eq__map,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ( 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) % 192.26/192.32 <=> V_xs_2 = V_ys_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__inj__on,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( 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) % 192.26/192.32 => ( 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))) % 192.26/192.32 => V_xs_2 = V_ys_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__map,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 192.26/192.32 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 192.26/192.32 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__abs,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_uminus__listsum__map,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Groups_Oab__group__add(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__fst__zip,axiom, % 192.26/192.32 ! [V_ys_2,T_c,V_xs_2,T_b] : % 192.26/192.32 ( 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) % 192.26/192.32 => 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 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__snd__zip,axiom, % 192.26/192.32 ! [V_ys_2,T_c,V_xs_2,T_b] : % 192.26/192.32 ( 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) % 192.26/192.32 => 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 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_partition__filter2,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__map__fst__snd,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__removeAll__inj,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inj__map,axiom, % 192.26/192.32 ! [V_f_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inj__mapD,axiom, % 192.26/192.32 ! [V_f_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__size__map,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__set__sublists,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__filter,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 192.26/192.32 ! [V_f_2,V_xs_2,T_b,T_c] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_c) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__eq__conv,axiom, % 192.26/192.32 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 192.26/192.32 ( 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) % 192.26/192.32 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 192.26/192.32 <=> ( 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 % 192.26/192.32 & 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 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__removeAll__inj__on,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__filter__less,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_partition__filter__conv,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__triv,axiom, % 192.26/192.32 ! [V_xs_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( class_Rings_Osemiring__1(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__minus__filter__out,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__size__conv__listsum,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_product_Osimps_I2_J,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__in__sublist,axiom, % 192.26/192.32 ! [V_s_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__map__remove1,axiom, % 192.26/192.32 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_c) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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)))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inj__on__mapI,axiom, % 192.26/192.32 ! [V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2))) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 192.26/192.32 ! [V_j_2,V_i_2,V_f_2,T_b] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 192.26/192.32 ! [V_l_2,V_k_2,V_f_2,T_b] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__aux__max,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__key__remove1,axiom, % 192.26/192.32 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 192.26/192.32 => ( 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 % 192.26/192.32 => 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 ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted_ONil,axiom, % 192.26/192.32 ! [T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__single,axiom, % 192.26/192.32 ! [V_x,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__insort__key,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( 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))) % 192.26/192.32 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__map__remove1,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 192.26/192.32 => 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__filter,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__same,axiom, % 192.26/192.32 ! [V_xs_2,V_g_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__map__same,axiom, % 192.26/192.32 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__insort__insert__key,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 192.26/192.32 => 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__insort__insert,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__butlast,axiom, % 192.26/192.32 ! [V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__upto,axiom, % 192.26/192.32 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__drop,axiom, % 192.26/192.32 ! [V_n,V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__take,axiom, % 192.26/192.32 ! [V_n,V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldr__append,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__tl,axiom, % 192.26/192.32 ! [V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldr_Osimps_I1_J,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted_Oequations_I1_J,axiom, % 192.26/192.32 ! [T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldr_Osimps_I2_J,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__many,axiom, % 192.26/192.32 ! [V_zs,V_y,V_x,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 192.26/192.32 => 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))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__many__eq,axiom, % 192.26/192.32 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( 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))) % 192.26/192.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 192.26/192.32 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__distinct__set__unique,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 192.26/192.32 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 192.26/192.32 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__remove1,axiom, % 192.26/192.32 ! [V_a,V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__insort,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( 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)) % 192.26/192.32 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldr__conv__foldl,axiom, % 192.26/192.32 ! [V_a_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Groups_Oab__semigroup__add(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__Cons,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 192.26/192.32 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 & ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldr__map,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__append,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 192.26/192.32 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 192.26/192.32 & ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ! [B_xa] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__insort,axiom, % 192.26/192.32 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 192.26/192.32 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted_Oequations_I2_J,axiom, % 192.26/192.32 ! [V_a1_2,V_a2_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 192.26/192.32 <=> ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 192.26/192.32 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldl__foldr1,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldl__foldr1__lemma,axiom, % 192.26/192.32 ! [V_xs_2,V_a_2,T_b] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__list__of__set,axiom, % 192.26/192.32 ! [V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 192.26/192.32 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 192.26/192.32 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__remove1,axiom, % 192.26/192.32 ! [V_xs_2,V_a_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 => 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 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__nth__mono,axiom, % 192.26/192.32 ! [V_j,V_i,V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.32 => 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))) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__equals__nth__mono,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 <=> ! [B_j] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ! [B_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 192.26/192.32 => 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))) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__sorted__distinct__set__unique,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => ( 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))) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 192.26/192.32 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 192.26/192.32 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sublist__def,axiom, % 192.26/192.32 ! [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))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sublist__shift__lemma,axiom, % 192.26/192.32 ! [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))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__upt,axiom, % 192.26/192.32 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__add__eq__append,axiom, % 192.26/192.32 ! [V_k,V_j,V_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__upt,axiom, % 192.26/192.32 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__Suc,axiom, % 192.26/192.32 ! [V_j,V_i] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => 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))) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__Suc__append,axiom, % 192.26/192.32 ! [V_j,V_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__conv__Nil,axiom, % 192.26/192.32 ! [V_i,V_j] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 192.26/192.32 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__eq__Nil__conv,axiom, % 192.26/192.32 ! [V_j_2,V_i_2] : % 192.26/192.32 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 192.26/192.32 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 192.26/192.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__rec,axiom, % 192.26/192.32 ! [V_j,V_i] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => 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)) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__conv__Cons,axiom, % 192.26/192.32 ! [V_j,V_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__0,axiom, % 192.26/192.32 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(fact_take__upt,axiom, % 192.26/192.32 ! [V_n,V_m,V_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n)) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_hd__upt,axiom, % 192.26/192.32 ! [V_j,V_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_drop__upt,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__upt,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_atLeastLessThan__upt,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__list__of__set__range,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__upt,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__rec__number__of,axiom, % 192.26/192.32 ! [V_n,V_m] : % 192.26/192.32 ( ( 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))) % 192.26/192.32 => 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))) ) % 192.26/192.32 & ( ~ 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))) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_upt__eq__Cons__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 192.26/192.32 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 192.26/192.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 192.26/192.32 & V_i_2 = V_x_2 % 192.26/192.32 & 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 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__upt,axiom, % 192.26/192.32 ! [V_j,V_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__Suc__upt,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_atLeastAtMost__upt,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_atLeast__upt,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nth__upt,axiom, % 192.26/192.32 ! [V_j,V_k,V_i] : % 192.26/192.32 ( 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)) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_greaterThanAtMost__upt,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_greaterThanLessThan__upt,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_atMost__upto,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__nth,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 192.26/192.32 ! [V_na_2,V_m_2,V_f_2,T_b] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 192.26/192.32 ! [V_na_2,V_m_2,V_f_2,T_b] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nth__map__upt,axiom, % 192.26/192.32 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] : % 192.26/192.32 ( 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_na_2),V_m_2))) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__max__length,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__aux__filter__head,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat_Osimps_I1_J,axiom, % 192.26/192.32 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose_Osimps_I1_J,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat__conv__foldl,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldl__conv__concat,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose_Osimps_I3_J,axiom, % 192.26/192.32 ! [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))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat_Osimps_I2_J,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nil__eq__concat__conv,axiom, % 192.26/192.32 ! [V_xss_2,T_b] : % 192.26/192.32 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 192.26/192.32 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat__eq__Nil__conv,axiom, % 192.26/192.32 ! [V_xss_2,T_b] : % 192.26/192.32 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 192.26/192.32 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_map__concat,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__concat,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose_Osimps_I2_J,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__map__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__concat,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__concat,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat__append,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__empty,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat__injective,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 192.26/192.32 => ( 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) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => 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)) ) % 192.26/192.32 => V_xs_2 = V_ys_2 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat__eq__concat__iff,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => 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)) ) % 192.26/192.32 => ( 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) % 192.26/192.32 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 192.26/192.32 <=> V_xs_2 = V_ys_2 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat__map__singleton,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_n__lists_Osimps_I2_J,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__transpose,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__aux__filter__tail,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nth__transpose,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_i_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose_Opsimps_I3_J,axiom, % 192.26/192.32 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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))))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__rectangle,axiom, % 192.26/192.32 ! [V_na_2,T_b,V_xs_2] : % 192.26/192.32 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 192.26/192.32 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 192.26/192.32 => ( ! [B_i] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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 ) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose_Opsimps_I1_J,axiom, % 192.26/192.32 ! [T_b] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose_Opsimps_I2_J,axiom, % 192.26/192.32 ! [V_xss_2,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__column,axiom, % 192.26/192.32 ! [V_i_2,V_xs_2,T_b] : % 192.26/192.32 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nth__nth__transpose__sorted,axiom, % 192.26/192.32 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 192.26/192.32 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 192.26/192.32 => ( 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)))) % 192.26/192.32 => 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) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inj__on__rev,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__concat,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__map,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__rev,axiom, % 192.26/192.32 ! [V_ys,T_b,V_xs,T_a] : % 192.26/192.32 ( 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) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__rev,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldr__foldl,axiom, % 192.26/192.32 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldl__foldr,axiom, % 192.26/192.32 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__rev,axiom, % 192.26/192.32 ! [V_xs,T_a] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_a) % 192.26/192.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__rev,axiom, % 192.26/192.32 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__rev__ident,axiom, % 192.26/192.32 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__swap,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 192.26/192.32 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__is__rev__conv,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 192.26/192.32 <=> V_xs_2 = V_ys_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__rev,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 192.26/192.32 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__rev1,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 192.26/192.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 192.26/192.32 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__filter,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__append,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__rev,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 192.26/192.32 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__singleton__conv,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_singleton__rev__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( 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) % 192.26/192.32 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev_Osimps_I1_J,axiom, % 192.26/192.32 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nil__is__rev__conv,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 192.26/192.32 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__is__Nil__conv,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.32 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__eq__Cons__iff,axiom, % 192.26/192.32 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 192.26/192.32 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_last__rev,axiom, % 192.26/192.32 ! [T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_hd__rev,axiom, % 192.26/192.32 ! [T_a,V_xs] : % 192.26/192.32 ( V_xs != c_List_Olist_ONil(T_a) % 192.26/192.32 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__foldl__cons,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__take,axiom, % 192.26/192.32 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__drop,axiom, % 192.26/192.32 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rotate__rev,axiom, % 192.26/192.32 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__transpose,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__nth,axiom, % 192.26/192.32 ! [V_xs,T_a,V_n] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.32 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rev__update,axiom, % 192.26/192.32 ! [V_y,V_xs,T_a,V_k] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.32 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__rev__nth__mono,axiom, % 192.26/192.32 ! [V_j,V_i,V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldr__max__sorted,axiom, % 192.26/192.32 ! [V_y_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 192.26/192.32 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 192.26/192.32 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 192.26/192.32 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__transpose__sorted,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 192.26/192.32 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 192.26/192.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 192.26/192.32 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 192.26/192.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__column__length,axiom, % 192.26/192.32 ! [V_i_2,V_xs_2,T_b] : % 192.26/192.32 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 192.26/192.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__remdups__concat,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transpose__transpose,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 192.26/192.32 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__remdups,axiom, % 192.26/192.32 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__remdups__leq,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__remdups,axiom, % 192.26/192.32 ! [V_l,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__takeWhile,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__eq__take,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 192.26/192.32 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups__eq__nil__iff,axiom, % 192.26/192.32 ! [V_x_2,T_b] : % 192.26/192.32 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 192.26/192.32 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile_Osimps_I1_J,axiom, % 192.26/192.32 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups__eq__nil__right__iff,axiom, % 192.26/192.32 ! [V_x_2,T_b] : % 192.26/192.32 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 192.26/192.32 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups_Osimps_I1_J,axiom, % 192.26/192.32 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__tail,axiom, % 192.26/192.32 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 192.26/192.32 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups__id__iff__distinct,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 192.26/192.32 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__takeWhile,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__remdups__id,axiom, % 192.26/192.32 ! [V_xs,T_a] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.32 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remove1__remdups,axiom, % 192.26/192.32 ! [V_x,V_xs,T_a] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups__filter,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insert__remdups,axiom, % 192.26/192.32 ! [V_xs,V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oinsert(T_a,V_x,V_xs)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups__remdups,axiom, % 192.26/192.32 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__remdups__eq,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( 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) % 192.26/192.32 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__takeWhile__le,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__takeWhileD,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__remdups,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__eq__all__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__takeWhile__snd,axiom, % 192.26/192.32 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__takeWhile__fst,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups__map__remdups,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__map,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_Pa_2),V_f_2),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__append1,axiom, % 192.26/192.32 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nth__length__takeWhile,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__nth,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 192.26/192.32 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_remdups_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__remdups__card__conv,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__not__last,axiom, % 192.26/192.32 ! [T_b,V_xs_2] : % 192.26/192.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 192.26/192.32 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 192.26/192.32 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__neq__rev,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__neq__rev,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__dropWhile__id,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__eq__Nil__conv,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__dropWhile__le,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__dropWhile,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile_Osimps_I2_J,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 192.26/192.32 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile_Osimps_I1_J,axiom, % 192.26/192.32 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__dropWhile,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_hd__dropWhile,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__map,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_Pa_2),V_f_2),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__append1,axiom, % 192.26/192.32 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__eq__Cons__conv,axiom, % 192.26/192.32 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 192.26/192.32 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 192.26/192.32 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__eq__drop,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__nth,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 192.26/192.32 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 192.26/192.32 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__map__filter,axiom, % 192.26/192.32 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 192.26/192.32 ( class_Groups_Omonoid__add(T_c) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 192.26/192.32 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 192.26/192.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_return__list__def,axiom, % 192.26/192.32 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transfer__nat__int__list__return__embed,axiom, % 192.26/192.32 ! [V_l] : % 192.26/192.32 ( c_List_Onat__list(V_l) % 192.26/192.32 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 192.26/192.32 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_embed__list__def,axiom, % 192.26/192.32 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__nth__monoI,axiom, % 192.26/192.32 ! [V_xs,T_a] : % 192.26/192.32 ( class_Orderings_Olinorder(T_a) % 192.26/192.32 => ( ! [B_i,B_j] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) ) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sort__foldl__insort,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__sort,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sort__key__simps_I1_J,axiom, % 192.26/192.32 ! [V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__sort,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 192.26/192.32 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__sort,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__sort,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_set__sort,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__sort__key,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sort__key__simps_I2_J,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listsum__mono,axiom, % 192.26/192.32 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 192.26/192.32 ( ( class_Groups_Omonoid__add(T_c) % 192.26/192.32 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 192.26/192.32 => 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)))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__eq__filter,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__eq__take__P__nth,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b,V_na_2] : % 192.26/192.32 ( ! [B_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 192.26/192.32 => ( ( 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))) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) % 192.26/192.32 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_length__takeWhile__less__P__nth,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 192.26/192.32 ( ! [B_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted_Osimps,axiom, % 192.26/192.32 ! [V_a_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 192.26/192.32 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 192.26/192.32 | ? [B_xs,B_x] : % 192.26/192.32 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 192.26/192.32 & ! [B_xa] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 192.26/192.32 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_maps__def,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_maps__simps_I2_J,axiom, % 192.26/192.32 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 192.26/192.32 % 192.26/192.32 fof(fact_maps__simps_I1_J,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_concat__map__maps,axiom, % 192.26/192.32 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_distinct__concat,axiom, % 192.26/192.32 ! [V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 192.26/192.32 => ( ! [B_ys] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 192.26/192.32 => ( ! [B_ys] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => ! [B_zs] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => ( B_ys != B_zs % 192.26/192.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 192.26/192.32 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_measures__lesseq,axiom, % 192.26/192.32 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__measures,axiom, % 192.26/192.32 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__measures_I1_J,axiom, % 192.26/192.32 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_measures__def,axiom, % 192.26/192.32 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_measures__less,axiom, % 192.26/192.32 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__measures_I2_J,axiom, % 192.26/192.32 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) % 192.26/192.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 192.26/192.32 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_max__ext_Ointros,axiom, % 192.26/192.32 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 192.26/192.32 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 192.26/192.32 => ? [B_xa] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) % 192.26/192.32 => 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))) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Ozero__frac__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Oone__frac__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Ofrac__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__Collect__split,axiom, % 192.26/192.32 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_RangeI,axiom, % 192.26/192.32 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__Union,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__Id__on,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__empty,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__empty__iff,axiom, % 192.26/192.32 ! [V_r_2,T_b,T_c] : % 192.26/192.32 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.32 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__Un__eq,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__Id,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_finite__Range,axiom, % 192.26/192.32 ! [V_r_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_snd__eq__Range,axiom, % 192.26/192.32 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__iff,axiom, % 192.26/192.32 ! [V_r_2,T_c,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 192.26/192.32 <=> ? [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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__insert,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__Int__subset,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__Diff__subset,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_RangeP__Range__eq,axiom, % 192.26/192.32 ! [V_x_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_RangeE,axiom, % 192.26/192.32 ! [V_r_2,T_c,V_b_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 192.26/192.32 => ~ ! [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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_RangeP_Ointros,axiom, % 192.26/192.32 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 192.26/192.32 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_RangeP_Oequations,axiom, % 192.26/192.32 ! [V_a2_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 192.26/192.32 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__Un,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.32 => ( c_Wellfounded_Owf(T_b,V_s_2) % 192.26/192.32 => ( 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)) % 192.26/192.32 => 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)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_foldl__apply,axiom, % 192.26/192.32 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => 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)) ) % 192.26/192.32 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_DomainI,axiom, % 192.26/192.32 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__Id,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__mono,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__Id__on,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__empty,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__empty__iff,axiom, % 192.26/192.32 ! [V_r_2,T_c,T_b] : % 192.26/192.32 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.32 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__Un__eq,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_finite__Domain,axiom, % 192.26/192.32 ! [V_r_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fst__eq__Domain,axiom, % 192.26/192.32 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__iff,axiom, % 192.26/192.32 ! [V_r_2,T_c,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 192.26/192.32 <=> ? [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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__insert,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__Int__subset,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__Diff__subset,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Field__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__Union,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__Collect__split,axiom, % 192.26/192.32 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_DomainP__Domain__eq,axiom, % 192.26/192.32 ! [V_x_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_DomainE,axiom, % 192.26/192.32 ! [V_r_2,T_c,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 192.26/192.32 => ~ ! [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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_DomainP_Ointros,axiom, % 192.26/192.32 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 192.26/192.32 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_DomainP_Oequations,axiom, % 192.26/192.32 ! [V_a1_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 192.26/192.32 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfP__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_OwfP(T_b,V_r_2) % 192.26/192.32 <=> 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Rep__Integ__cases,axiom, % 192.26/192.32 ! [V_y_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 192.26/192.32 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfP__empty,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfP__accp__iff,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_OwfP(T_b,V_r_2) % 192.26/192.32 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_accp__wfPD,axiom, % 192.26/192.32 ! [V_x_2,V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_OwfP(T_b,V_r_2) % 192.26/192.32 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfP__subset,axiom, % 192.26/192.32 ! [V_p_2,V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_OwfP(T_b,V_r_2) % 192.26/192.32 => ( 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)) % 192.26/192.32 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__in__rel,axiom, % 192.26/192.32 ! [V_R_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Owf(T_b,V_R_2) % 192.26/192.32 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfP__wf__eq,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfP__acyclicP,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_OwfP(T_b,V_r_2) % 192.26/192.32 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Rep__Integ__induct,axiom, % 192.26/192.32 ! [V_Pa_2,V_y_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 192.26/192.32 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acyclic__subset,axiom, % 192.26/192.32 ! [V_r_2,V_s_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 192.26/192.32 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__acyclic,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.32 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_finite__acyclic__wf,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 192.26/192.32 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 192.26/192.32 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__iff__acyclic__if__finite,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 192.26/192.32 => ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.32 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Owf_H__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Nitpick_Owf_H(T_b,V_r_2) % 192.26/192.32 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 192.26/192.32 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 192.26/192.32 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zip__obtain__same__length,axiom, % 192.26/192.32 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 192.26/192.32 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) ) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Abs__Integ__cases,axiom, % 192.26/192.32 ! [V_x_2] : % 192.26/192.32 ~ ! [B_y] : % 192.26/192.32 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 192.26/192.32 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Abs__Integ__induct,axiom, % 192.26/192.32 ! [V_x_2,V_Pa_2] : % 192.26/192.32 ( ! [B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfP__SUP,axiom, % 192.26/192.32 ! [T_b,V_r_2,T_c] : % 192.26/192.32 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 192.26/192.32 => ( ! [B_i,B_j] : % 192.26/192.32 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 192.26/192.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 192.26/192.32 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_symp__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Predicate_Osymp(T_b,V_r_2) % 192.26/192.32 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel__sym,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__Id__on,axiom, % 192.26/192.32 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__Id,axiom, % 192.26/192.32 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__Un,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => ( c_Relation_Osym(T_b,V_s_2) % 192.26/192.32 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 <=> ! [B_x,B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_symD,axiom, % 192.26/192.32 ! [V_b_2,V_a_2,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__Int,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => ( c_Relation_Osym(T_b,V_s_2) % 192.26/192.32 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__inv__image,axiom, % 192.26/192.32 ! [V_f_2,T_c,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transp__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Predicate_Otransp(T_b,V_r_2) % 192.26/192.32 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_dropWhile__append2,axiom, % 192.26/192.32 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__less__than,axiom, % 192.26/192.32 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__lex__prod,axiom, % 192.26/192.32 ! [V_R2_2,T_c,V_R1_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_R1_2) % 192.26/192.32 => ( c_Relation_Otrans(T_c,V_R2_2) % 192.26/192.32 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__inv__image,axiom, % 192.26/192.32 ! [V_f_2,T_c,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__reflclI,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__Int,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => ( c_Relation_Otrans(T_b,V_s_2) % 192.26/192.32 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transD,axiom, % 192.26/192.32 ! [V_ca_2,V_b_2,V_a_2,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),V_r_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 <=> ! [B_x,B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 192.26/192.32 => ! [B_z] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_lexord__transI,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__Id,axiom, % 192.26/192.32 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__Id__on,axiom, % 192.26/192.32 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__finite__psubset,axiom, % 192.26/192.32 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel__trans,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__O__subset,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_lexord__trans,axiom, % 192.26/192.32 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) % 192.26/192.32 => ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_equivE,axiom, % 192.26/192.32 ! [V_r_2,V_A_2,T_b] : % 192.26/192.32 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.32 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.32 => ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_equivI,axiom, % 192.26/192.32 ! [V_r_2,V_A_2,T_b] : % 192.26/192.32 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.32 => ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_equiv__def,axiom, % 192.26/192.32 ! [V_r_2,V_A_2,T_b] : % 192.26/192.32 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.32 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.32 & c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__diff__Id,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => ( c_Relation_Oantisym(T_b,V_r_2) % 192.26/192.32 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all2__all__nthI,axiom, % 192.26/192.32 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] : % 192.26/192.32 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2) % 192.26/192.32 => ( ! [B_n] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) ) % 192.26/192.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisym__Id,axiom, % 192.26/192.32 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisym__Id__on,axiom, % 192.26/192.32 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisym__empty,axiom, % 192.26/192.32 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisym__subset,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 192.26/192.32 => ( c_Relation_Oantisym(T_b,V_s_2) % 192.26/192.32 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisymD,axiom, % 192.26/192.32 ! [V_b_2,V_a_2,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Oantisym(T_b,V_r_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) % 192.26/192.32 => V_a_2 = V_b_2 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisym__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Oantisym(T_b,V_r_2) % 192.26/192.32 <=> ! [B_x,B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 192.26/192.32 => B_x = B_y ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisym__reflcl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 192.26/192.32 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_mem__splitI2,axiom, % 192.26/192.32 ! [V_ca_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 192.26/192.32 ( ! [B_a,B_b] : % 192.26/192.32 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_mem__splitE,axiom, % 192.26/192.32 ! [V_p_2,V_ca_2,T_d,T_c,V_z_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),V_p_2))) % 192.26/192.32 => ~ ! [B_x,B_y] : % 192.26/192.32 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 192.26/192.32 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_finite__sorted__distinct__unique,axiom, % 192.26/192.32 ! [V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ? [B_x] : % 192.26/192.32 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 192.26/192.32 & c_List_Olinorder__class_Osorted(T_b,B_x) % 192.26/192.32 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 192.26/192.32 & ! [B_y] : % 192.26/192.32 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 192.26/192.32 & c_List_Olinorder__class_Osorted(T_b,B_y) % 192.26/192.32 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 192.26/192.32 => B_y = B_x ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_takeWhile__append2,axiom, % 192.26/192.32 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wfI__pf,axiom, % 192.26/192.32 ! [V_R_2,T_b] : % 192.26/192.32 ( ! [B_A] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A))) % 192.26/192.32 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 192.26/192.32 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_insort__is__Cons,axiom, % 192.26/192.32 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 192.26/192.32 ( class_Orderings_Olinorder(T_c) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 192.26/192.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 192.26/192.32 ! [V_R_2,V_p_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Cons__eq__filter__iff,axiom, % 192.26/192.32 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) % 192.26/192.32 <=> ? [B_us,B_vs] : % 192.26/192.32 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 192.26/192.32 & ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_r__into__rtrancl,axiom, % 192.26/192.32 ! [V_r_2,V_p_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl_Ortrancl__refl,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel__rtrancl__refl,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__unfold,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__rtrancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel__rtrancl__trans,axiom, % 192.26/192.32 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),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)))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rel__pow__imp__rtrancl,axiom, % 192.26/192.32 ! [V_R_2,V_na_2,V_p_2,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__power,axiom, % 192.26/192.32 ! [V_R_2,V_p_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 192.26/192.32 <=> ? [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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__r__diff__Id,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__rtrancl__UnI,axiom, % 192.26/192.32 ! [V_S_2,V_R_2,V_x_2,T_b] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 192.26/192.32 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__idemp,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__reflcl__absorb,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__reflcl,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__Un__rtrancl,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_r__comp__rtrancl__eq,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__idemp__self__comp,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__empty,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__trans,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_refl__rtrancl,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__Un__subset,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__subset__rtrancl,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__subset,axiom, % 192.26/192.32 ! [V_S_2,V_R_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 192.26/192.32 => ( 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))) % 192.26/192.32 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__mono,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Image__closed__trancl,axiom, % 192.26/192.32 ! [V_X_2,V_r_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__rtrancl,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__rtrancl,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 192.26/192.32 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__rtrancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Not__Domain__rtrancl,axiom, % 192.26/192.32 ! [V_y_2,V_R_2,V_x_2,T_b] : % 192.26/192.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 192.26/192.32 <=> V_x_2 = V_y_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acc__downwards,axiom, % 192.26/192.32 ! [V_b_2,V_r_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acc__downwards__aux,axiom, % 192.26/192.32 ! [V_r_2,V_a_2,V_b_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__insert,axiom, % 192.26/192.32 ! [V_r_2,V_x_2,V_y_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.32 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 192.26/192.32 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__listrel1__eq__len,axiom, % 192.26/192.32 ! [V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acyclic__insert,axiom, % 192.26/192.32 ! [V_r_2,V_x_2,V_y_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 192.26/192.32 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel__reflcl__if__listrel1,axiom, % 192.26/192.32 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 192.26/192.32 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__Int__subset,axiom, % 192.26/192.32 ! [V_r_2,V_s_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(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)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_pred__nat__trancl__eq__le,axiom, % 192.26/192.32 ! [V_na_2,V_m_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__subset__Sigma__aux,axiom, % 192.26/192.32 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( 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)))) % 192.26/192.32 => ( V_a_2 = V_b_2 % 192.26/192.32 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__insert,axiom, % 192.26/192.32 ! [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)))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sequence__trans,axiom, % 192.26/192.32 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 192.26/192.32 ( ! [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))) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl_Or__into__trancl,axiom, % 192.26/192.32 ! [V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__into__rtrancl,axiom, % 192.26/192.32 ! [V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__trancl__absorb,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__rtrancl__absorb,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__unfold__left,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__unfold__right,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__eq__or__trancl,axiom, % 192.26/192.32 ! [V_R_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 192.26/192.32 <=> ( V_x_2 = V_y_2 % 192.26/192.32 | ( V_x_2 != V_y_2 % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__into__trancl2,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtranclD,axiom, % 192.26/192.32 ! [V_R_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 192.26/192.32 => ( V_a_2 = V_b_2 % 192.26/192.32 | ( V_a_2 != V_b_2 % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__into__trancl1,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__rtrancl__trancl,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__trancl__trancl,axiom, % 192.26/192.32 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( 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))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acyclic__def,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 192.26/192.32 <=> ! [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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__id,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__trancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__domain,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__range,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_less__than__def,axiom, % 192.26/192.32 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__mono,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,V_p_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__trans,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__into__trancl2,axiom, % 192.26/192.32 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_r__r__into__trancl,axiom, % 192.26/192.32 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_R_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__empty,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__unfold,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__trancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.32 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_r__into__trancl_H,axiom, % 192.26/192.32 ! [V_r_2,V_p_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_finite__trancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 192.26/192.32 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__subset__Sigma,axiom, % 192.26/192.32 ! [V_A_2,V_r_2,T_b] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__trancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__reflcl,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_reflcl__trancl,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__Int__subset,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(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)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__subset__Field2,axiom, % 192.26/192.32 ! [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))))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__power,axiom, % 192.26/192.32 ! [V_R_2,V_p_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 192.26/192.32 <=> ? [B_n] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 192.26/192.32 & 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_less__eq,axiom, % 192.26/192.32 ! [V_na_2,V_m_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_irrefl__tranclI,axiom, % 192.26/192.32 ! [V_x_2,V_r_2,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acyclicI,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( ! [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))) % 192.26/192.32 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__converse,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__converseI,axiom, % 192.26/192.32 ! [V_r_2,V_x_2,V_y_2,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__converseD,axiom, % 192.26/192.32 ! [V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__converseD,axiom, % 192.26/192.32 ! [V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__converseI,axiom, % 192.26/192.32 ! [V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trancl__converse,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__converse__trancl,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 192.26/192.32 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__conv__converse__eq,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__converse,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 192.26/192.32 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__Un__converse,axiom, % 192.26/192.32 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__Int__converse,axiom, % 192.26/192.32 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acyclic__converse,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 192.26/192.32 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_finite__converse,axiom, % 192.26/192.32 ! [V_r_2,T_c,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 192.26/192.32 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__INTER,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__converse,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_Field__converse,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__Id__on,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_total__on__converse,axiom, % 192.26/192.32 ! [V_r_2,V_A_2,T_b] : % 192.26/192.32 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 192.26/192.32 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__Id,axiom, % 192.26/192.32 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__Un,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__rel__comp,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_listrel1__converse,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__listrel1__converse,axiom, % 192.26/192.32 ! [V_r_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converseD,axiom, % 192.26/192.32 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converseI,axiom, % 192.26/192.32 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__iff,axiom, % 192.26/192.32 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 <=> 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_equiv__comp__eq,axiom, % 192.26/192.32 ! [V_r_2,V_A_2,T_b] : % 192.26/192.32 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 192.26/192.32 => 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 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_refl__on__converse,axiom, % 192.26/192.32 ! [V_r_2,V_A_2,T_b] : % 192.26/192.32 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 192.26/192.32 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__Int,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__inv__image,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__converse,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Domain__converse,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Range__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_antisym__converse,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 192.26/192.32 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_trans__converse,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 192.26/192.32 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__UNION,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Image__subset__eq,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 <=> 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))))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_refl__on__comp__subset,axiom, % 192.26/192.32 ! [V_r_2,V_A_2,T_b] : % 192.26/192.32 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_comp__equivI,axiom, % 192.26/192.32 ! [V_A_2,V_r_2,T_b] : % 192.26/192.32 ( 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 % 192.26/192.32 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 192.26/192.32 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_finite__acyclic__wf__converse,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 192.26/192.32 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 192.26/192.32 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sym__trans__comp__subset,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osym(T_b,V_r_2) % 192.26/192.32 => ( c_Relation_Otrans(T_b,V_r_2) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converse__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Image__INT__eq,axiom, % 192.26/192.32 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 192.26/192.32 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Image__Int__eq,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 192.26/192.32 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valued__subset,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( 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)) % 192.26/192.32 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 192.26/192.32 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valued__rel__comp,axiom, % 192.26/192.32 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 192.26/192.32 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 192.26/192.32 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valued__Id__on,axiom, % 192.26/192.32 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valued__Id,axiom, % 192.26/192.32 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valued__rel__pow,axiom, % 192.26/192.32 ! [V_na_2,V_R_2,T_b] : % 192.26/192.32 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valued__def,axiom, % 192.26/192.32 ! [V_r_2,T_c,T_b] : % 192.26/192.32 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 192.26/192.32 <=> ! [B_x,B_y] : % 192.26/192.32 ( 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)) % 192.26/192.32 => ! [B_z] : % 192.26/192.32 ( 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)) % 192.26/192.32 => B_y = B_z ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valuedD,axiom, % 192.26/192.32 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 192.26/192.32 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 192.26/192.32 => ( 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)) % 192.26/192.32 => ( 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)) % 192.26/192.32 => V_y_2 = V_z_2 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_single__valued__confluent,axiom, % 192.26/192.32 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 192.26/192.32 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 192.26/192.32 => ( 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))) % 192.26/192.32 | 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))) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__Un__separatorE,axiom, % 192.26/192.32 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2)))) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 192.26/192.32 => ! [B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Qa_2)) % 192.26/192.32 => B_x = B_y ) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rtrancl__Un__separator__converseE,axiom, % 192.26/192.32 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2)))) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 192.26/192.32 => ! [B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Qa_2)) % 192.26/192.32 => B_y = B_x ) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_filter__eq__Cons__iff,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 192.26/192.32 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 192.26/192.32 <=> ? [B_us,B_vs] : % 192.26/192.32 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 192.26/192.32 & ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 192.26/192.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rel__pow__Suc__E,axiom, % 192.26/192.32 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_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))) % 192.26/192.32 => ~ ! [B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 192.26/192.32 => ~ 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rel__pow__Suc__D2,axiom, % 192.26/192.32 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_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))) % 192.26/192.32 => ? [B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 192.26/192.32 & 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rel__pow__Suc__E2,axiom, % 192.26/192.32 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_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))) % 192.26/192.32 => ~ ! [B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 192.26/192.32 => ~ 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Sigma__mono,axiom, % 192.26/192.32 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_tranclD2,axiom, % 192.26/192.32 ! [V_R_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 192.26/192.32 => ? [B_z] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_tranclD,axiom, % 192.26/192.32 ! [V_R_2,V_y_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 192.26/192.32 => ? [B_z] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2)) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_not__acc__down,axiom, % 192.26/192.32 ! [V_R_2,V_x_2,T_b] : % 192.26/192.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 192.26/192.32 => ~ ! [B_z] : % 192.26/192.32 ( 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)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_acc_OaccI,axiom, % 192.26/192.32 ! [V_r_2,V_x_2,T_b] : % 192.26/192.32 ( ! [B_y] : % 192.26/192.32 ( 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)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_max__ext_Osimps,axiom, % 192.26/192.32 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 192.26/192.32 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 192.26/192.32 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 192.26/192.32 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 192.26/192.32 & ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 192.26/192.32 => ? [B_xa] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ball__nth,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b,V_na_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sorted_OCons,axiom, % 192.26/192.32 ! [V_x_2,V_xs_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 192.26/192.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 192.26/192.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__no__infinite__down__chainE,axiom, % 192.26/192.32 ! [V_f_2,V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.32 => ~ ! [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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ex__length,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 <=> ? [B_n] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ex__simps_I2_J,axiom, % 192.26/192.32 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ex__append,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 192.26/192.32 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ex__iff,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 <=> ? [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ex__rev,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 192.26/192.32 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ex__simps_I1_J,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 192.26/192.32 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Bex__set__list__ex,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( ? [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__ex__iff__raw,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 <=> ? [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_setsum__reindex__cong,axiom, % 192.26/192.32 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 192.26/192.32 ( class_Groups_Ocomm__monoid__add(T_d) % 192.26/192.32 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 192.26/192.32 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 192.26/192.32 => ( ! [B_a] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 192.26/192.32 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 192.26/192.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_scomp__unfold,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_scomp__scomp,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Pair__scomp,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_scomp__Pair,axiom, % 192.26/192.32 ! [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 ). % 192.26/192.32 % 192.26/192.32 fof(fact_scomp__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_scomp__apply,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_iterate_Osimps,axiom, % 192.26/192.32 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 192.26/192.32 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 192.26/192.32 => 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) ) % 192.26/192.32 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_IdE,axiom, % 192.26/192.32 ! [V_p_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 192.26/192.32 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_log_Osimps,axiom, % 192.26/192.32 ! [V_i,V_b] : % 192.26/192.32 ( ( ( 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))) % 192.26/192.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 192.26/192.32 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 192.26/192.32 & ( ~ ( 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))) % 192.26/192.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 192.26/192.32 => 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_minus__shift__def,axiom, % 192.26/192.32 ! [V_r,V_l,V_k] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 192.26/192.32 => 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) ) % 192.26/192.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 192.26/192.32 => 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) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inc__shift__def,axiom, % 192.26/192.32 ! [V_k,V_v] : % 192.26/192.32 ( ( V_v = V_k % 192.26/192.32 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 192.26/192.32 & ( V_v != V_k % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_select,axiom, % 192.26/192.32 ! [V_s_2,T_b,V_xs_2] : % 192.26/192.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_select__weight__member,axiom, % 192.26/192.32 ! [V_s_2,V_xs_2,T_b] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_select__weigth__select,axiom, % 192.26/192.32 ! [T_b,V_xs_2] : % 192.26/192.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_select__weight__cons__zero,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_select__weigth__drop__zero,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_pick__member,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_i_2] : % 192.26/192.32 ( 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)))) % 192.26/192.32 => 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)))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_pick_Osimps,axiom, % 192.26/192.32 ! [V_xs,V_x,T_a,V_i] : % 192.26/192.32 ( ( 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))) % 192.26/192.32 => 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) ) % 192.26/192.32 & ( ~ 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))) % 192.26/192.32 => 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))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_pick__drop__zero,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_select__weight__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_pick__same,axiom, % 192.26/192.32 ! [V_xs_2,T_b,V_l_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 => 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) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_code__numeral_Oof__nat__inject,axiom, % 192.26/192.32 ! [V_y_2,V_x_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 192.26/192.32 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 192.26/192.32 <=> V_x_2 = V_y_2 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_one__code__numeral__def,axiom, % 192.26/192.32 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 192.26/192.32 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 192.26/192.32 ! [V_m_2,V_na_2] : % 192.26/192.32 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 192.26/192.32 <=> V_na_2 = V_m_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_times__code__numeral__code,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_zero__code__numeral__def,axiom, % 192.26/192.32 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_number__of__code__numeral__def,axiom, % 192.26/192.32 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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_less__eq__code__numeral__code,axiom, % 192.26/192.32 ! [V_m_2,V_na_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_less__code__numeral__code,axiom, % 192.26/192.32 ! [V_m_2,V_na_2] : % 192.26/192.32 ( 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))) % 192.26/192.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_plus__code__numeral__code,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_code__numeral__not__eq__zero,axiom, % 192.26/192.32 ! [V_i_2] : % 192.26/192.32 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 192.26/192.32 <=> 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_range,axiom, % 192.26/192.32 ! [V_s,V_k] : % 192.26/192.32 ( 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)) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_select__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_subtract__code__numeral__code,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__of__of__nat,axiom, % 192.26/192.32 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 192.26/192.32 % 192.26/192.32 fof(fact_of__nat__nat__of,axiom, % 192.26/192.32 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__of__inverse,axiom, % 192.26/192.32 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 192.26/192.32 % 192.26/192.32 fof(fact_times__code__numeral__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_type__definition__code__numeral,axiom, % 192.26/192.32 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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__of__aux__def,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_less__code__numeral__def,axiom, % 192.26/192.32 ! [V_m_2,V_na_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 192.26/192.32 <=> 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_less__eq__code__numeral__def,axiom, % 192.26/192.32 ! [V_m_2,V_na_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 192.26/192.32 <=> 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__of__code,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_int__of__def,axiom, % 192.26/192.32 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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__of,axiom, % 192.26/192.32 ! [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)))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_code__numeral_Onat__of__inject,axiom, % 192.26/192.32 ! [V_y_2,V_x_2] : % 192.26/192.32 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 192.26/192.32 <=> V_x_2 = V_y_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 192.26/192.32 ! [V_l_2,V_k_2] : % 192.26/192.32 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 192.26/192.32 <=> V_k_2 = V_l_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__of__number,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Suc__code__numeral__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_minus__code__numeral__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_of__nat__inverse,axiom, % 192.26/192.32 ! [V_y_2] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 192.26/192.32 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_plus__code__numeral__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_div__code__numeral__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_minus__code__numeral__code,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_subtract__code__numeral__def,axiom, % 192.26/192.32 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.32 % 192.26/192.32 fof(fact_mod__code__numeral__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_code__numeral__decr,axiom, % 192.26/192.32 ! [V_k] : % 192.26/192.32 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_setsum__ivl__cong,axiom, % 192.26/192.32 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_b,T_c] : % 192.26/192.32 ( ( class_Groups_Ocomm__monoid__add(T_c) % 192.26/192.32 & class_Orderings_Oord(T_b) ) % 192.26/192.32 => ( V_a_2 = V_ca_2 % 192.26/192.32 => ( V_b_2 = V_d_2 % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),B_x)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 192.26/192.32 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 192.26/192.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_pos__not__random__dseq__def,axiom, % 192.26/192.32 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_nat__intermed__int__val,axiom, % 192.26/192.32 ! [V_k_2,V_f_2,V_na_2,V_m_2] : % 192.26/192.32 ( ! [B_i] : % 192.26/192.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) ) % 192.26/192.32 => 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))) ) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 192.26/192.32 => ? [B_i] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 192.26/192.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 192.26/192.32 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__set__conv__decomp__first,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 <=> ? [B_ys] : % 192.26/192.32 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 192.26/192.32 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__set__conv__decomp__last,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 <=> ? [B_ys,B_zs] : % 192.26/192.32 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 192.26/192.32 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_in__set__conv__decomp,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sup__Sup__fold__sup,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,T_b] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_union__fold__insert,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold__sup__insert,axiom, % 192.26/192.32 ! [V_a_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Osemilattice__sup(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold__inf__insert,axiom, % 192.26/192.32 ! [V_a_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Osemilattice__inf(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold__def,axiom, % 192.26/192.32 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold__empty,axiom, % 192.26/192.32 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold__image__def,axiom, % 192.26/192.32 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding_Oeq__fold,axiom, % 192.26/192.32 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_Ofold__sup__insert,axiom, % 192.26/192.32 ! [V_a_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_Ofold__inf__insert,axiom, % 192.26/192.32 ! [V_a_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inf__Inf__fold__inf,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,T_b] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 192.26/192.32 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 192.26/192.32 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inf__INFI__fold__inf,axiom, % 192.26/192.32 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sup__SUPR__fold__sup,axiom, % 192.26/192.32 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 192.26/192.32 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_sup__le__fold__sup,axiom, % 192.26/192.32 ! [V_b_2,V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Osemilattice__sup(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold__inf__le__inf,axiom, % 192.26/192.32 ! [V_b_2,V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Osemilattice__inf(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 192.26/192.32 ! [V_b_2,V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_Osup__le__fold__sup,axiom, % 192.26/192.32 ! [V_b_2,V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Sup__fold__sup,axiom, % 192.26/192.32 ! [V_A_2,T_b] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Inf__fold__inf,axiom, % 192.26/192.32 ! [V_A_2,T_b] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold1__eq__fold__idem,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Olattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Olattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Min_Oeq__fold__idem_H,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Max_Oeq__fold__idem_H,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_minus__fold__remove,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,T_b] : % 192.26/192.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding__one_Oeq__fold_H,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_SUPR__fold__sup,axiom, % 192.26/192.32 ! [V_f_2,V_A_2,T_b,T_c] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_INFI__fold__inf,axiom, % 192.26/192.32 ! [V_f_2,V_A_2,T_b,T_c] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold1__eq__fold,axiom, % 192.26/192.32 ! [V_a_2,V_A_2,T_b] : % 192.26/192.32 ( class_Groups_Oab__semigroup__mult(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.32 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Olattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Olattice(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Min_Oeq__fold_H,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Max_Oeq__fold_H,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__rec,axiom, % 192.26/192.32 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 192.26/192.32 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 192.26/192.32 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm,axiom, % 192.26/192.32 ! [T_b] : % 192.26/192.32 ( class_Groups_Oab__semigroup__mult(T_b) % 192.26/192.32 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 192.26/192.32 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 192.26/192.32 => V_y_2 = V_x_2 ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 192.26/192.32 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 192.26/192.32 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm__insort,axiom, % 192.26/192.32 ! [T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 192.26/192.32 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => 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)) = 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__equality,axiom, % 192.26/192.32 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 192.26/192.32 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__insert,axiom, % 192.26/192.32 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 192.26/192.32 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 192.26/192.32 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 192.26/192.32 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 192.26/192.32 => ? [B_y_H] : % 192.26/192.32 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 192.26/192.32 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 192.26/192.32 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2)) % 192.26/192.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 192.26/192.32 => ~ ! [B_y] : % 192.26/192.32 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 192.26/192.32 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 192.26/192.32 ! [V_ca_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_ca_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 192.26/192.32 ! [V_ca_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Orderings_Olinorder(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ca_2),V_A_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_inf__le__fold__inf,axiom, % 192.26/192.32 ! [V_ca_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Osemilattice__inf(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ca_2),V_A_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_fold__sup__le__sup,axiom, % 192.26/192.32 ! [V_ca_2,V_b_2,V_A_2,T_b] : % 192.26/192.32 ( class_Lattices_Osemilattice__sup(T_b) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_ca_2))) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_mod__div__decomp,axiom, % 192.26/192.32 ! [V_b,V_a,T_a] : % 192.26/192.32 ( class_Divides_Osemiring__div(T_a) % 192.26/192.32 => 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)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_wf__eq__minimal,axiom, % 192.26/192.32 ! [V_r_2,T_b] : % 192.26/192.32 ( c_Wellfounded_Owf(T_b,V_r_2) % 192.26/192.32 <=> ! [B_Q] : % 192.26/192.32 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 192.26/192.32 => ? [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 192.26/192.32 & ! [B_y] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 192.26/192.32 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 192.26/192.32 => 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)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_transfer__nat__int__set__cong,axiom, % 192.26/192.32 ! [V_P_H_2,V_Pa_2] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 192.26/192.32 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 192.26/192.32 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 192.26/192.32 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding__image__simple__idem_Oidem,axiom, % 192.26/192.32 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 192.26/192.32 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 192.26/192.32 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 192.26/192.32 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 192.26/192.32 => 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 192.26/192.32 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 192.26/192.32 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 192.26/192.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 192.26/192.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 192.26/192.32 => 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) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_rel__compE,axiom, % 192.26/192.32 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ~ ! [B_x,B_y,B_z] : % 192.26/192.32 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 192.26/192.32 => ( 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)) % 192.26/192.32 => ~ 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)) ) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_converseE,axiom, % 192.26/192.32 ! [V_r_2,V_yx_2,T_c,T_b] : % 192.26/192.32 ( 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))) % 192.26/192.32 => ~ ! [B_x,B_y] : % 192.26/192.32 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 192.26/192.32 => ~ 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)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Oplus__frac__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_setprod__pos,axiom, % 192.26/192.32 ! [V_f_2,V_A_2,T_b,T_c] : % 192.26/192.32 ( class_Rings_Olinordered__semidom(T_c) % 192.26/192.32 => ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 192.26/192.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Otimes__frac__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Oof__frac__def,axiom, % 192.26/192.32 ! [V_q,T_a,T_b] : % 192.26/192.32 ( ( class_Rings_Oinverse(T_b) % 192.26/192.32 & class_Rings_Oring__1(T_b) ) % 192.26/192.32 => 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 192.26/192.32 ! [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))) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Oless__frac__def,axiom, % 192.26/192.32 ! [V_r_2,V_q_2,T_b] : % 192.26/192.32 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 192.26/192.32 <=> 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 192.26/192.32 ! [V_r_2,V_q_2,T_b] : % 192.26/192.32 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 192.26/192.32 <=> 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))) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Odenom__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Nitpick_Onum__def,axiom, % 192.26/192.32 ! [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)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all__length,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 <=> ! [B_n] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_internal__split__def,axiom, % 192.26/192.32 ! [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) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all__simps_I1_J,axiom, % 192.26/192.32 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 192.26/192.32 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 192.26/192.32 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_Ball__set__list__all,axiom, % 192.26/192.32 ! [V_Pa_2,V_xs_2,T_b] : % 192.26/192.32 ( ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 192.26/192.32 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all__rev,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 192.26/192.32 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all__iff,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all__append,axiom, % 192.26/192.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 192.26/192.32 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all__simps_I2_J,axiom, % 192.26/192.32 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 192.26/192.32 % 192.26/192.32 fof(fact_list__all__iff__raw,axiom, % 192.26/192.32 ! [V_xs_2,V_Pa_2,T_b] : % 192.26/192.32 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 192.26/192.32 <=> ! [B_x] : % 192.26/192.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 192.26/192.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 192.26/192.32 % 192.26/192.32 %----Arity declarations (220) % 192.26/192.32 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 192.26/192.32 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Obounded__lattice(T_1) % 192.26/192.32 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 192.26/192.32 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Obounded__lattice(T_1) % 192.26/192.32 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Obounded__lattice(T_1) % 192.26/192.32 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Olattice(T_1) % 192.26/192.32 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Olattice(T_1) % 192.26/192.32 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Odistrib__lattice(T_1) % 192.26/192.32 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Oboolean__algebra(T_1) % 192.26/192.32 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Orderings_Opreorder,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Orderings_Opreorder(T_1) % 192.26/192.32 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Finite__Set_Ofinite,axiom, % 192.26/192.32 ! [T_1,T_2] : % 192.26/192.32 ( ( class_Finite__Set_Ofinite(T_2) % 192.26/192.32 & class_Finite__Set_Ofinite(T_1) ) % 192.26/192.32 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Lattices_Olattice,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Lattices_Olattice(T_1) % 192.26/192.32 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Orderings_Oorder,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Orderings_Oorder(T_1) % 192.26/192.32 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Orderings_Otop,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Orderings_Otop(T_1) % 192.26/192.32 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Orderings_Oord,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Orderings_Oord(T_1) % 192.26/192.32 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Orderings_Obot,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Orderings_Obot(T_1) % 192.26/192.32 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Groups_Ouminus,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Groups_Ouminus(T_1) % 192.26/192.32 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Groups_Ominus,axiom, % 192.26/192.32 ! [T_2,T_1] : % 192.26/192.32 ( class_Groups_Ominus(T_1) % 192.26/192.32 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_fun__Enum_Oenum,axiom, % 192.26/192.32 ! [T_1,T_2] : % 192.26/192.32 ( ( class_Enum_Oenum(T_2) % 192.26/192.32 & class_Enum_Oenum(T_1) ) % 192.26/192.32 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Com__Ocom__Nat_Osize,axiom, % 192.26/192.32 class_Nat_Osize(tc_Com_Ocom) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 192.26/192.32 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 192.26/192.32 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 192.26/192.32 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 192.26/192.32 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 192.26/192.32 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 192.26/192.32 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 192.26/192.32 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 192.26/192.32 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 192.26/192.32 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 192.26/192.32 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 192.26/192.32 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 192.26/192.32 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 192.26/192.32 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 192.26/192.32 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 192.26/192.32 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 192.26/192.32 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 192.26/192.32 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 192.26/192.32 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 192.26/192.32 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 192.26/192.32 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 192.26/192.32 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 192.26/192.32 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 192.26/192.32 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 192.26/192.32 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 192.26/192.32 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 192.26/192.32 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 192.26/192.32 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 192.26/192.32 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 192.26/192.32 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 192.26/192.32 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 192.26/192.32 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 192.26/192.32 class_Divides_Osemiring__div(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 192.26/192.32 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 192.26/192.32 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 192.26/192.32 class_Groups_Oab__group__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 192.26/192.32 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 192.26/192.32 class_Rings_Oordered__ring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 192.26/192.32 class_Orderings_Opreorder(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 192.26/192.32 class_Orderings_Olinorder(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 192.26/192.32 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 192.26/192.32 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 192.26/192.32 class_Groups_Omonoid__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 192.26/192.32 class_Rings_Osemiring__1(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 192.26/192.32 class_Rings_Osemiring__0(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 192.26/192.32 class_Lattices_Olattice(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 192.26/192.32 class_Groups_Ogroup__add(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 192.26/192.32 class_Divides_Oring__div(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 192.26/192.32 class_Rings_Omult__zero(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 192.26/192.32 class_Orderings_Oorder(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 192.26/192.32 class_Int_Oring__char__0(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 192.26/192.32 class_Int_Onumber__ring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 192.26/192.32 class_Rings_Osemiring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Orderings_Oord,axiom, % 192.26/192.32 class_Orderings_Oord(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 192.26/192.32 class_Groups_Ouminus(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 192.26/192.32 class_Groups_Osgn__if(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 192.26/192.32 class_Groups_Oabs__if(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 192.26/192.32 class_Rings_Oring__1(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ominus,axiom, % 192.26/192.32 class_Groups_Ominus(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Power_Opower,axiom, % 192.26/192.32 class_Power_Opower(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Ozero,axiom, % 192.26/192.32 class_Groups_Ozero(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oring,axiom, % 192.26/192.32 class_Rings_Oring(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Rings_Oidom,axiom, % 192.26/192.32 class_Rings_Oidom(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Int_Onumber,axiom, % 192.26/192.32 class_Int_Onumber(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Int__Oint__Groups_Oone,axiom, % 192.26/192.32 class_Groups_Oone(tc_Int_Oint) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 192.26/192.32 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 192.26/192.32 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 192.26/192.32 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 192.26/192.32 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 192.26/192.32 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 192.26/192.32 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 192.26/192.32 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 192.26/192.32 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 192.26/192.32 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 192.26/192.32 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 192.26/192.32 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 192.26/192.32 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 192.26/192.32 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 192.26/192.32 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 192.26/192.32 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 192.26/192.32 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 192.26/192.32 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 192.26/192.32 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 192.26/192.32 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 192.26/192.32 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 192.26/192.32 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 192.26/192.32 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 192.26/192.32 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 192.26/192.32 class_Orderings_Owellorder(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 192.26/192.32 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 192.26/192.32 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 192.26/192.32 class_Orderings_Opreorder(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 192.26/192.32 class_Orderings_Olinorder(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 192.26/192.32 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 192.26/192.32 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 192.26/192.32 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 192.26/192.32 % 192.26/192.32 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 192.26/192.33 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 192.26/192.33 class_Lattices_Olattice(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 192.26/192.33 class_Rings_Omult__zero(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 192.26/192.33 class_Orderings_Oorder(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 192.26/192.33 class_Rings_Osemiring(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 192.26/192.33 class_Orderings_Oord(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 192.26/192.33 class_Orderings_Obot(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 192.26/192.33 class_Groups_Ominus(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Power_Opower,axiom, % 192.26/192.33 class_Power_Opower(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 192.26/192.33 class_Groups_Ozero(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Int_Onumber,axiom, % 192.26/192.33 class_Int_Onumber(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Groups_Oone,axiom, % 192.26/192.33 class_Groups_Oone(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Nat__Onat__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_Nat_Onat) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 192.26/192.33 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 192.26/192.33 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 192.26/192.33 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 192.26/192.33 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 192.26/192.33 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 192.26/192.33 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 192.26/192.33 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 192.26/192.33 class_Orderings_Opreorder(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 192.26/192.33 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 192.26/192.33 class_Lattices_Olattice(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 192.26/192.33 class_Orderings_Oorder(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 192.26/192.33 class_Orderings_Otop(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 192.26/192.33 class_Orderings_Oord(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 192.26/192.33 class_Orderings_Obot(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 192.26/192.33 class_Groups_Ouminus(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 192.26/192.33 class_Groups_Ominus(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 192.26/192.33 class_Enum_Oenum(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_HOL__Obool__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_HOL_Obool) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Com__Ostate__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_Com_Ostate) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Com__Ovname__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_Com_Ovname) ). % 192.26/192.33 % 192.26/192.33 fof(arity_List__Olist__Nat_Osize,axiom, % 192.26/192.33 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 192.26/192.33 % 192.26/192.33 fof(arity_String__Ochar__Finite__Set_Ofinite,axiom, % 192.26/192.33 class_Finite__Set_Ofinite(tc_String_Ochar) ). % 192.26/192.33 % 192.26/192.33 fof(arity_String__Ochar__Enum_Oenum,axiom, % 192.26/192.33 class_Enum_Oenum(tc_String_Ochar) ). % 192.26/192.33 % 192.26/192.33 fof(arity_String__Ochar__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_String_Ochar) ). % 192.26/192.33 % 192.26/192.33 fof(arity_sum__Finite__Set_Ofinite,axiom, % 192.26/192.33 ! [T_1,T_2] : % 192.26/192.33 ( ( class_Finite__Set_Ofinite(T_2) % 192.26/192.33 & class_Finite__Set_Ofinite(T_1) ) % 192.26/192.33 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 192.26/192.33 % 192.26/192.33 fof(arity_sum__Enum_Oenum,axiom, % 192.26/192.33 ! [T_1,T_2] : % 192.26/192.33 ( ( class_Enum_Oenum(T_2) % 192.26/192.33 & class_Enum_Oenum(T_1) ) % 192.26/192.33 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 192.26/192.33 % 192.26/192.33 fof(arity_sum__Nat_Osize,axiom, % 192.26/192.33 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 192.26/192.33 ! [T_1] : % 192.26/192.33 ( class_Finite__Set_Ofinite(T_1) % 192.26/192.33 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 192.26/192.33 ! [T_1] : % 192.26/192.33 ( class_Enum_Oenum(T_1) % 192.26/192.33 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Option__Ooption__Nat_Osize,axiom, % 192.26/192.33 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 192.26/192.33 % 192.26/192.33 fof(arity_String__Onibble__Finite__Set_Ofinite,axiom, % 192.26/192.33 class_Finite__Set_Ofinite(tc_String_Onibble) ). % 192.26/192.33 % 192.26/192.33 fof(arity_String__Onibble__Enum_Oenum,axiom, % 192.26/192.33 class_Enum_Oenum(tc_String_Onibble) ). % 192.26/192.33 % 192.26/192.33 fof(arity_String__Onibble__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_String_Onibble) ). % 192.26/192.33 % 192.26/192.33 fof(arity_String__Oliteral__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_String_Oliteral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_prod__Finite__Set_Ofinite,axiom, % 192.26/192.33 ! [T_1,T_2] : % 192.26/192.33 ( ( class_Finite__Set_Ofinite(T_2) % 192.26/192.33 & class_Finite__Set_Ofinite(T_1) ) % 192.26/192.33 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 192.26/192.33 % 192.26/192.33 fof(arity_prod__Enum_Oenum,axiom, % 192.26/192.33 ! [T_1,T_2] : % 192.26/192.33 ( ( class_Enum_Oenum(T_2) % 192.26/192.33 & class_Enum_Oenum(T_1) ) % 192.26/192.33 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 192.26/192.33 % 192.26/192.33 fof(arity_prod__Nat_Osize,axiom, % 192.26/192.33 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 192.26/192.33 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 192.26/192.33 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_Product__Type_Ounit) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 192.26/192.33 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 192.26/192.33 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 192.26/192.33 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 192.26/192.33 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 192.26/192.33 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 192.26/192.33 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 192.26/192.33 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 192.26/192.33 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 192.26/192.33 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 192.26/192.33 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 192.26/192.33 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 192.26/192.33 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 192.26/192.33 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 192.26/192.33 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 192.26/192.33 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 192.26/192.33 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 192.26/192.33 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 192.26/192.33 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 192.26/192.33 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 192.26/192.33 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 192.26/192.33 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 192.26/192.33 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 192.26/192.33 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 192.26/192.33 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 192.26/192.33 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 192.26/192.33 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 192.26/192.33 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 192.26/192.33 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 192.26/192.33 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 192.26/192.33 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 192.26/192.33 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 192.26/192.33 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 192.26/192.33 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 192.26/192.33 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 192.26/192.33 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 192.26/192.33 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 192.26/192.33 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 192.26/192.33 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 192.26/192.33 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 192.26/192.33 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 192.26/192.33 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 192.26/192.33 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 192.26/192.33 % 192.26/192.33 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 192.26/192.33 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 192.26/192.33 % 192.26/192.33 %----Helper facts (20) % 192.26/192.33 fof(help_c__COMBI__1,axiom, % 192.26/192.33 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 192.26/192.33 % 192.26/192.33 fof(help_c__COMBK__1,axiom, % 192.26/192.33 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 192.26/192.33 % 192.26/192.33 fof(help_c__COMBB__1,axiom, % 192.26/192.33 ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__COMBC__1,axiom, % 192.26/192.33 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__COMBS__1,axiom, % 192.26/192.33 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fequal__1,axiom, % 192.26/192.33 ! [V_y_2,V_x_2] : % 192.26/192.33 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 192.26/192.33 | V_x_2 = V_y_2 ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fequal__2,axiom, % 192.26/192.33 ! [V_y_2,V_x_2] : % 192.26/192.33 ( V_x_2 != V_y_2 % 192.26/192.33 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fFalse__1,axiom, % 192.26/192.33 ~ hBOOL(c_fFalse) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fTrue__1,axiom, % 192.26/192.33 hBOOL(c_fTrue) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fNot__1,axiom, % 192.26/192.33 ! [V_Pa_2] : % 192.26/192.33 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 192.26/192.33 | ~ hBOOL(V_Pa_2) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fNot__2,axiom, % 192.26/192.33 ! [V_Pa_2] : % 192.26/192.33 ( ~ ~ hBOOL(V_Pa_2) % 192.26/192.33 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fconj__1,axiom, % 192.26/192.33 ! [V_Qa_2,V_Pa_2] : % 192.26/192.33 ( ~ hBOOL(V_Pa_2) % 192.26/192.33 | ~ hBOOL(V_Qa_2) % 192.26/192.33 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fconj__2,axiom, % 192.26/192.33 ! [V_Qa_2,V_Pa_2] : % 192.26/192.33 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 192.26/192.33 | hBOOL(V_Pa_2) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fconj__3,axiom, % 192.26/192.33 ! [V_Qa_2,V_Pa_2] : % 192.26/192.33 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 192.26/192.33 | hBOOL(V_Qa_2) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fdisj__1,axiom, % 192.26/192.33 ! [V_Qa_2,V_Pa_2] : % 192.26/192.33 ( ~ hBOOL(V_Pa_2) % 192.26/192.33 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fdisj__2,axiom, % 192.26/192.33 ! [V_Pa_2,V_Qa_2] : % 192.26/192.33 ( ~ hBOOL(V_Qa_2) % 192.26/192.33 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fdisj__3,axiom, % 192.26/192.33 ! [V_Qa_2,V_Pa_2] : % 192.26/192.33 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) % 192.26/192.33 | hBOOL(V_Pa_2) % 192.26/192.33 | hBOOL(V_Qa_2) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fimplies__1,axiom, % 192.26/192.33 ! [V_Qa_2,V_Pa_2] : % 192.26/192.33 ( hBOOL(V_Pa_2) % 192.26/192.33 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fimplies__2,axiom, % 192.26/192.33 ! [V_Pa_2,V_Qa_2] : % 192.26/192.33 ( ~ hBOOL(V_Qa_2) % 192.26/192.33 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 192.26/192.33 % 192.26/192.33 fof(help_c__fimplies__3,axiom, % 192.26/192.33 ! [V_Qa_2,V_Pa_2] : % 192.26/192.33 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) % 192.26/192.33 | ~ hBOOL(V_Pa_2) % 192.26/192.33 | hBOOL(V_Qa_2) ) ). % 192.26/192.33 % 192.26/192.33 %----Conjectures (1) % 192.26/192.33 fof(conj_0,conjecture, % 192.26/192.33 ( 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))))))))),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q))) % 192.26/192.33 <=> ! [B_Z,B_s] : % 192.26/192.33 ( hBOOL(hAPP(hAPP(v_P,B_Z),B_s)) % 192.26/192.33 => ! [B_s_H] : % 192.26/192.33 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,v_c),B_s),v_n),B_s_H)) % 192.26/192.33 => hBOOL(hAPP(hAPP(v_Q,B_Z),B_s_H)) ) ) ) ). % 192.26/192.33 % 192.26/192.33 %------------------------------------------------------------------------------ % 192.26/192.33 %------------------------------------------- % 192.26/192.33 % Proof found % 192.26/192.33 % SZS status Theorem for theBenchmark % 192.26/192.33 % SZS output start Proof % 192.26/192.33 %ClaNum:10462(EqnAxiom:3076) % 192.26/192.33 %VarNum:71065(SingletonVarNum:20979) % 192.26/192.33 %MaxLitNum:8 % 192.26/192.33 %MaxfuncDepth:15 % 192.26/192.33 %SharedTerms:1126 % 192.26/192.33 %goalClause: 10453 10456 10457 10458 % 192.26/192.33 [3080]P1(a174) % 192.26/192.33 [3081]P2(a902) % 192.26/192.33 [3082]P2(a106) % 192.26/192.33 [3083]P2(a1) % 192.26/192.33 [3085]P3(a25) % 192.26/192.33 [3086]P6(a897) % 192.26/192.33 [3087]P98(a897) % 192.26/192.33 [3088]P98(a898) % 192.26/192.33 [3089]P98(a899) % 192.26/192.33 [3090]P98(a902) % 192.26/192.33 [3091]P98(a106) % 192.26/192.33 [3092]P98(a905) % 192.26/192.33 [3093]P98(a908) % 192.26/192.33 [3094]P98(a900) % 192.26/192.33 [3095]P98(a906) % 192.26/192.33 [3096]P98(a909) % 192.26/192.33 [3097]P112(a897) % 192.26/192.33 [3098]P112(a902) % 192.26/192.33 [3099]P112(a106) % 192.26/192.33 [3100]P112(a1) % 192.26/192.33 [3101]P117(a897) % 192.26/192.33 [3102]P113(a897) % 192.26/192.33 [3103]P113(a902) % 192.26/192.33 [3104]P113(a106) % 192.26/192.33 [3105]P113(a1) % 192.26/192.33 [3106]P114(a902) % 192.26/192.33 [3107]P114(a106) % 192.26/192.33 [3108]P114(a1) % 192.26/192.33 [3109]P116(a897) % 192.26/192.33 [3110]P116(a902) % 192.26/192.33 [3111]P116(a106) % 192.26/192.33 [3112]P116(a1) % 192.26/192.33 [3113]P118(a902) % 192.26/192.33 [3114]P118(a106) % 192.26/192.33 [3115]P118(a1) % 192.26/192.33 [3116]P99(a897) % 192.26/192.33 [3117]P99(a902) % 192.26/192.33 [3118]P99(a1) % 192.26/192.33 [3119]P100(a897) % 192.26/192.33 [3120]P109(a897) % 192.26/192.33 [3121]P109(a902) % 192.26/192.33 [3122]P109(a1) % 192.26/192.33 [3123]P110(a897) % 192.26/192.33 [3124]P110(a902) % 192.26/192.33 [3125]P110(a1) % 192.26/192.33 [3126]P101(a897) % 192.26/192.33 [3127]P115(a897) % 192.26/192.33 [3128]P115(a902) % 192.26/192.33 [3129]P108(a897) % 192.26/192.33 [3130]P108(a902) % 192.26/192.33 [3131]P108(a1) % 192.26/192.33 [3132]P102(a897) % 192.26/192.33 [3133]P66(a897) % 192.26/192.33 [3134]P66(a902) % 192.26/192.33 [3135]P66(a106) % 192.26/192.33 [3136]P66(a1) % 192.26/192.33 [3137]P86(a897) % 192.26/192.33 [3138]P86(a1) % 192.26/192.33 [3139]P67(a1) % 192.26/192.33 [3140]P76(a1) % 192.26/192.33 [3141]P87(a1) % 192.26/192.33 [3142]P84(a1) % 192.26/192.33 [3143]P119(a1) % 192.26/192.33 [3144]P77(a902) % 192.26/192.33 [3145]P77(a106) % 192.26/192.33 [3146]P77(a1) % 192.26/192.33 [3147]P130(a1) % 192.26/192.33 [3148]P68(a897) % 192.26/192.33 [3149]P68(a905) % 192.26/192.33 [3150]P68(a906) % 192.26/192.33 [3151]P68(a909) % 192.26/192.33 [3152]P91(a902) % 192.26/192.33 [3153]P91(a106) % 192.26/192.33 [3154]P91(a1) % 192.26/192.33 [3155]P92(a902) % 192.26/192.33 [3156]P92(a106) % 192.26/192.33 [3157]P92(a1) % 192.26/192.33 [3158]P94(a902) % 192.26/192.33 [3159]P94(a106) % 192.26/192.33 [3160]P94(a1) % 192.26/192.33 [3161]P78(a902) % 192.26/192.33 [3162]P78(a106) % 192.26/192.33 [3163]P78(a1) % 192.26/192.33 [3164]P79(a902) % 192.26/192.33 [3165]P79(a106) % 192.26/192.33 [3166]P79(a1) % 192.26/192.33 [3167]P80(a902) % 192.26/192.33 [3168]P80(a106) % 192.26/192.33 [3169]P80(a1) % 192.26/192.33 [3170]P95(a902) % 192.26/192.33 [3171]P95(a106) % 192.26/192.33 [3172]P95(a1) % 192.26/192.33 [3173]P88(a902) % 192.26/192.33 [3174]P88(a106) % 192.26/192.33 [3175]P88(a1) % 192.26/192.33 [3176]P131(a902) % 192.26/192.33 [3177]P131(a106) % 192.26/192.33 [3178]P131(a1) % 192.26/192.33 [3179]P120(a1) % 192.26/192.33 [3180]P85(a902) % 192.26/192.33 [3181]P85(a106) % 192.26/192.33 [3182]P85(a1) % 192.26/192.33 [3183]P123(a902) % 192.26/192.33 [3184]P123(a106) % 192.26/192.33 [3185]P123(a1) % 192.26/192.33 [3186]P150(a902) % 192.26/192.33 [3187]P150(a1) % 192.26/192.33 [3188]P89(a902) % 192.26/192.33 [3189]P89(a106) % 192.26/192.33 [3190]P89(a1) % 192.26/192.33 [3191]P151(a902) % 192.26/192.33 [3192]P151(a106) % 192.26/192.33 [3193]P151(a1) % 192.26/192.33 [3194]P145(a1) % 192.26/192.33 [3195]P103(a1) % 192.26/192.33 [3196]P146(a1) % 192.26/192.33 [3197]P90(a902) % 192.26/192.33 [3198]P90(a106) % 192.26/192.33 [3199]P90(a1) % 192.26/192.33 [3200]P121(a902) % 192.26/192.33 [3201]P121(a106) % 192.26/192.33 [3202]P121(a1) % 192.26/192.33 [3203]P134(a902) % 192.26/192.33 [3204]P134(a106) % 192.26/192.33 [3205]P134(a1) % 192.26/192.33 [3206]P139(a902) % 192.26/192.33 [3207]P139(a106) % 192.26/192.33 [3208]P139(a1) % 192.26/192.33 [3209]P147(a902) % 192.26/192.33 [3210]P147(a106) % 192.26/192.33 [3211]P147(a1) % 192.26/192.33 [3212]P83(a902) % 192.26/192.33 [3213]P83(a106) % 192.26/192.33 [3214]P83(a1) % 192.26/192.33 [3215]P96(a1) % 192.26/192.33 [3216]P124(a902) % 192.26/192.33 [3217]P124(a106) % 192.26/192.33 [3218]P124(a1) % 192.26/192.33 [3219]P148(a902) % 192.26/192.33 [3220]P148(a106) % 192.26/192.33 [3221]P148(a1) % 192.26/192.33 [3222]P81(a902) % 192.26/192.33 [3223]P81(a106) % 192.26/192.33 [3224]P81(a1) % 192.26/192.33 [3225]P149(a1) % 192.26/192.33 [3226]P125(a1) % 192.26/192.33 [3227]P132(a1) % 192.26/192.33 [3228]P133(a1) % 192.26/192.33 [3229]P140(a902) % 192.26/192.33 [3230]P140(a106) % 192.26/192.33 [3231]P140(a1) % 192.26/192.33 [3232]P141(a1) % 192.26/192.33 [3233]P143(a902) % 192.26/192.33 [3234]P143(a106) % 192.26/192.33 [3235]P143(a1) % 192.26/192.33 [3236]P142(a902) % 192.26/192.33 [3237]P142(a106) % 192.26/192.33 [3238]P142(a1) % 192.26/192.33 [3239]P128(a902) % 192.26/192.33 [3240]P128(a106) % 192.26/192.33 [3241]P128(a1) % 192.26/192.33 [3242]P135(a902) % 192.26/192.33 [3243]P135(a106) % 192.26/192.33 [3244]P135(a1) % 192.26/192.33 [3245]P136(a902) % 192.26/192.33 [3246]P136(a106) % 192.26/192.33 [3247]P136(a1) % 192.26/192.33 [3248]P137(a1) % 192.26/192.33 [3249]P138(a1) % 192.26/192.33 [3250]P111(a902) % 192.26/192.33 [3251]P111(a106) % 192.26/192.33 [3252]P111(a1) % 192.26/192.33 [3253]P69(a902) % 192.26/192.33 [3254]P69(a106) % 192.26/192.33 [3255]P69(a1) % 192.26/192.33 [3256]P93(a1) % 192.26/192.33 [3257]P70(a1) % 192.26/192.33 [3258]P144(a1) % 192.26/192.33 [3259]P82(a1) % 192.26/192.33 [3260]P71(a897) % 192.26/192.33 [3261]P71(a905) % 192.26/192.33 [3262]P71(a906) % 192.26/192.33 [3263]P71(a909) % 192.26/192.33 [3264]P104(a1) % 192.26/192.33 [3265]P105(a902) % 192.26/192.33 [3266]P105(a106) % 192.26/192.33 [3267]P105(a1) % 192.26/192.33 [3268]P122(a902) % 192.26/192.33 [3269]P97(a902) % 192.26/192.33 [3270]P97(a106) % 192.26/192.33 [3271]P97(a1) % 192.26/192.33 [3272]P107(a897) % 192.26/192.33 [3288]P36(a902,a211) % 192.26/192.33 [3289]P36(a902,a286) % 192.26/192.33 [3290]P37(a902,a211) % 192.26/192.33 [4606]~E(a104,a86) % 192.26/192.33 [4607]~P1(a175) % 192.26/192.33 [3077]E(f2(a1),a86) % 192.26/192.33 [3078]E(f107(a106),a3) % 192.26/192.33 [3079]E(f23(a106),a24) % 192.26/192.33 [3273]E(f31(a25),f2(a902)) % 192.26/192.33 [3274]E(f87(a175),f2(a902)) % 192.26/192.33 [3275]E(f87(a174),f2(a902)) % 192.26/192.33 [3276]E(f176(a902),f2(a902)) % 192.26/192.33 [3277]E(f108(a902),f205(a902)) % 192.26/192.33 [3278]E(f117(a902),f206(a902)) % 192.26/192.33 [3279]E(f109(a1),f36(a1)) % 192.26/192.33 [3280]P7(f2(a1)) % 192.26/192.33 [3281]P7(f81(a1)) % 192.26/192.33 [3340]P36(f910(a902,a902),a37) % 192.26/192.33 [3674]E(f288(a902,a902,a211,a211),a37) % 192.26/192.33 [4610]~E(f81(a1),f2(a1)) % 192.26/192.33 [3282]E(f4(f2(a106)),f2(a902)) % 192.26/192.33 [3283]E(f118(f2(a902)),f2(a902)) % 192.26/192.33 [3293]E(f295(f82(a1),a86),a86) % 192.26/192.33 [3297]E(f295(a3,f2(a902)),f2(a106)) % 192.26/192.33 [3298]E(f295(a119,f2(a902)),f81(a902)) % 192.26/192.33 [3299]E(f295(a111,f81(a1)),f81(a902)) % 192.26/192.33 [3300]E(f295(a3,f81(a902)),f81(a106)) % 192.26/192.33 [3302]E(f295(f110(a106),a86),f2(a106)) % 192.26/192.33 [3303]E(f295(f110(a1),a86),f2(a1)) % 192.26/192.33 [3304]E(f295(a111,f2(a1)),f2(a902)) % 192.26/192.33 [3305]E(f295(f177(a897),a175),f2(a902)) % 192.26/192.33 [3306]E(f295(f177(a897),a174),f2(a902)) % 192.26/192.33 [3307]E(f295(f177(a898),a25),f2(a902)) % 192.26/192.33 [3308]E(f295(f110(a902),a86),f2(a902)) % 192.26/192.33 [3314]E(f295(f82(a1),f81(a1)),a104) % 192.26/192.33 [3322]E(f295(f177(a106),f2(a106)),f2(a902)) % 192.26/192.33 [3323]E(f295(f82(a1),f2(a1)),f2(a1)) % 192.26/192.33 [3324]E(f295(f107(a1),f2(a902)),f2(a1)) % 192.26/192.33 [3325]E(f295(f107(a1),f81(a902)),f81(a1)) % 192.26/192.33 [3336]E(f295(a111,f81(a1)),f295(a119,f2(a902))) % 192.26/192.33 [3338]E(f287(f910(a902,a902),a37),a38) % 192.26/192.33 [3339]E(f289(f910(a902,a902),a37),a70) % 192.26/192.33 [3364]E(f295(f249(a902),f2(a902)),f176(f911(a902,a897))) % 192.26/192.33 [3365]E(f295(f250(a902),f2(a902)),f214(f911(a902,a897))) % 192.26/192.33 [3373]P40(f176(f911(a1,a897))) % 192.26/192.33 [3405]E(f295(f295(f23(a106),f2(a106)),f81(a106)),f2(a106)) % 192.26/192.33 [3476]P1(f295(f295(f208(a1),a104),f2(a1))) % 192.26/192.33 [3501]P1(f295(f295(f207(a1),f2(a1)),f81(a1))) % 192.26/192.33 [3502]P1(f295(f295(f208(a1),f2(a1)),f81(a1))) % 192.26/192.33 [3705]E(f295(f295(f255(a902,a902,a902),a286),f273(a902,a286)),a211) % 192.26/192.33 [3740]P41(a1,a902,a111,f295(f207(a1),f2(a1))) % 192.26/192.33 [3744]E(f295(f295(f43(a902,f911(a902,a897)),f214(f911(a902,a897))),f270(a902)),f176(f911(a902,a897))) % 192.26/192.33 [3745]E(f295(f295(f44(a902,f911(a902,a897)),f214(f911(a902,a897))),f249(a902)),f214(f911(a902,a897))) % 192.26/192.33 [3746]E(f295(f295(f44(a902,f911(a902,a897)),f214(f911(a902,a897))),f250(a902)),f214(f911(a902,a897))) % 192.26/192.33 [3747]E(f295(f295(f44(a902,f911(a902,a897)),f214(f911(a902,a897))),f267(a902)),f214(f911(a902,a897))) % 192.26/192.33 [3762]P24(a902,a1,f107(a1),f214(f911(a902,a897))) % 192.26/192.33 [4123]P62(a106,a902,a20,a3,f214(f911(a902,a897))) % 192.26/192.33 [4128]P62(a1,f911(f910(a902,a902),a897),a114,a92,a105) % 192.26/192.33 [4368]E(f229(a1,a1,a1,a1,f36(a1),f82(a1)),a52) % 192.26/192.33 [4637]~E(f295(f110(a1),a104),f295(f110(a1),a86)) % 192.26/192.33 [4638]~P1(f295(a179,f2(a1))) % 192.26/192.33 [4639]~P1(f295(a179,f81(a1))) % 192.26/192.33 [4692]~P1(f295(f295(f208(a1),a86),f2(a1))) % 192.26/192.33 [3356]E(f295(f295(f23(a1),a104),a104),a86) % 192.26/192.33 [3371]E(f295(f107(a1),f295(a119,f2(a902))),f81(a1)) % 192.26/192.33 [3428]E(f295(f39(a906),f214(f911(a906,a897))),f81(a902)) % 192.26/192.33 [3448]P1(f295(a179,f295(f110(a1),a104))) % 192.26/192.33 [3450]P1(f295(f295(f207(a1),a104),a86)) % 192.26/192.33 [3452]P1(f295(f295(f208(a1),a104),a86)) % 192.26/192.33 [3512]E(f295(f295(f275(a902),f2(a902)),f176(f911(a902,a897))),f295(f267(a902),f2(a902))) % 192.26/192.33 [3566]P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),a86))) % 192.26/192.33 [3580]E(f295(f276(a902,a902,a119),f214(f911(a902,a897))),f295(f270(a902),f2(a902))) % 192.26/192.33 [3616]P9(f910(a902,a902),f214(f911(f910(a902,a902),a897)),a115) % 192.26/192.33 [3668]E(f295(f295(f74(a902,a106,a1),a3),a111),f110(a106)) % 192.26/192.33 [3673]E(f295(f295(f74(a902,a1,a106),f107(a1)),a20),a21) % 192.26/192.33 [3969]P36(a902,f295(f212(f910(a902,a902)),f295(f228(a902,a902,a897),f208(a902)))) % 192.26/192.33 [4683]~P1(f295(a179,f295(f110(a1),a86))) % 192.26/192.33 [4684]~P1(f295(f295(f207(a1),a86),a104)) % 192.26/192.33 [4685]~P1(f295(f295(f208(a1),a86),a86)) % 192.26/192.33 [4686]~P1(f295(f295(f208(a1),a86),a104)) % 192.26/192.33 [4687]~P1(f295(f295(f208(a1),a104),a104)) % 192.26/192.33 [4702]~P1(f295(f62(a902),f214(f911(a902,a897)))) % 192.26/192.33 [4703]~P1(f295(f62(a1),f214(f911(a1,a897)))) % 192.26/192.33 [4534]E(f295(f228(a1,a1,a897),f295(f295(f8(f911(a1,a897),f911(a1,a897),a1),f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f208(a1),f2(a1))))),f295(f295(f7(a1,a1,f911(a1,a897)),f295(f295(f8(f911(a1,f911(a1,a897)),f911(a1,f911(a1,a897)),a1),f7(a1,a1,a897)),f295(f295(f8(f911(a1,a1),f911(a1,f911(a1,a897)),a1),f295(f8(a1,f911(a1,a897),a1),a292)),a193))),f81(a1)))),a188) % 192.26/192.33 [3649]E(f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104),f295(f82(a1),a104)) % 192.26/192.33 [3687]E(f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104),f295(f295(f23(a1),a86),a104)) % 192.26/192.33 [3844]E(f295(f295(f61(f910(a902,a902)),f214(f911(f910(a902,a902),a897))),a115),a105) % 192.26/192.33 [4168]E(f295(f276(f910(a909,a909),a905,f295(f228(a909,a909,a905),a277)),f295(f295(f226(a909,a909),f214(f911(a909,a897))),f295(f16(f911(a909,a897),a909),f214(f911(a909,a897))))),f214(f911(a905,a897))) % 192.26/192.33 [3872]E(f295(f110(a106),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f81(a106)) % 192.26/192.33 [3873]E(f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f81(a1)) % 192.26/192.33 [3874]E(f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f81(a902)) % 192.26/192.33 [3878]E(f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(a119,f2(a902))) % 192.26/192.33 [4242]E(f295(f295(f117(f911(f910(f910(a902,a902),f910(a902,a902)),a897)),a37),f273(f910(a902,a902),f176(f911(f910(f910(a902,a902),f910(a902,a902)),a897)))),a72) % 192.26/192.33 [4309]E(f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),f2(a902)),f2(a902))),f176(f911(f910(a902,a902),a897))))),f2(a1)) % 192.26/192.33 [4310]E(f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),f81(a902)),f2(a902))),f176(f911(f910(a902,a902),a897))))),f81(a1)) % 192.26/192.33 [4322]E(f295(f212(f910(a902,a902)),f295(f228(a902,a902,a897),f295(f295(f8(a902,f911(a902,a897),a902),f295(f7(a902,a902,a897),a292)),a119))),a286) % 192.26/192.33 [4295]E(f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),f295(a119,f295(a119,f2(a902)))) % 192.26/192.33 [4298]E(f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),f295(f295(f83(a902),f81(a902)),f81(a902))) % 192.26/192.33 [4299]E(f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),f295(f39(a897),f214(f911(a897,a897)))) % 192.26/192.33 [4354]P7(f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))) % 192.26/192.33 [4425]P25(f911(f910(a902,a902),a897),f295(f295(f217(f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897),f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897)),a38),a71)) % 192.26/192.33 [4426]P25(f911(f910(a902,a902),a897),f295(f295(f217(f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897),f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897)),a70),a73)) % 192.26/192.33 [4467]E(f295(f295(f117(f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897)),f289(f910(a902,a902),a72)),f295(f295(f275(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),f176(f911(f910(a902,a902),a897))),f176(f911(f910(a902,a902),a897)))),f176(f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897)))),a73) % 192.26/192.33 [4468]E(f295(f295(f117(f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897)),f287(f910(a902,a902),a72)),f295(f295(f275(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),f176(f911(f910(a902,a902),a897))),f176(f911(f910(a902,a902),a897)))),f176(f911(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a897)))),a71) % 192.26/192.33 [4355]E(f295(a111,f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(a119,f295(a119,f2(a902)))) % 192.26/192.33 [4403]E(f295(f107(a1),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))) % 192.26/192.33 [4436]P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.33 [4437]E(f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104)),f295(a119,f295(a119,f295(a119,f2(a902))))) % 192.26/192.33 [4479]P7(f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))) % 192.26/192.33 [4505]E(f295(f107(a1),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))) % 192.26/192.33 [4518]P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104)))) % 192.26/192.33 [3291]P8(x32911,a292) % 192.26/192.33 [3675]P24(a902,a902,a119,x36751) % 192.26/192.33 [3284]P98(f901(x32841)) % 192.26/192.33 [3285]P98(f907(x32851)) % 192.26/192.33 [3286]P98(f903(x32861)) % 192.26/192.33 [3287]P98(f904(x32871)) % 192.26/192.33 [3309]P36(a1,f112(x33091)) % 192.26/192.33 [3310]P36(a1,f113(x33101)) % 192.26/192.33 [3360]P36(f911(x33601,a897),f283(x33601)) % 192.26/192.33 [3361]P37(f911(x33611,a897),f283(x33611)) % 192.26/192.33 [3398]E(f46(a1,x33981,x33981),f2(a1)) % 192.26/192.33 [3445]P13(x34451,f911(x34451,a897),f275(x34451)) % 192.26/192.33 [4117]P43(x41171,x41171,a292,f36(x41171),f36(x41171)) % 192.26/192.33 [4609]~E(f26(x46091),a25) % 192.26/192.33 [4612]~E(f295(a119,x46121),x46121) % 192.26/192.33 [4624]~E(f295(a119,x46241),f2(a902)) % 192.26/192.33 [3292]E(f31(f26(x32921)),f2(a902)) % 192.26/192.33 [3294]E(f295(f177(a902),x32941),x32941) % 192.26/192.33 [3295]E(f295(f110(a1),x32951),x32951) % 192.26/192.33 [3311]E(f295(a92,f296(x33111)),x33111) % 192.26/192.33 [3312]E(f295(f177(a905),x33121),f2(a902)) % 192.26/192.33 [3313]E(f295(f177(a908),x33131),f2(a902)) % 192.26/192.33 [3326]E(f121(x33261,f120(x33261)),f120(x33261)) % 192.26/192.33 [3327]E(f141(x33271,f120(x33271)),f120(x33271)) % 192.26/192.33 [3328]E(f295(f177(a898),f26(x33281)),f2(a902)) % 192.26/192.33 [3333]E(f295(f156(x33331),f120(x33331)),f120(x33331)) % 192.26/192.33 [3334]E(f295(f159(x33341),f120(x33341)),f120(x33341)) % 192.26/192.33 [3335]E(f295(f157(x33351),f120(x33351)),f120(x33351)) % 192.26/192.33 [3341]E(f295(f110(a1),x33411),f295(f109(a1),x33411)) % 192.26/192.33 [3342]E(f295(a92,f295(a114,x33421)),x33421) % 192.26/192.33 [3344]E(f295(a3,f295(a20,x33441)),x33441) % 192.26/192.33 [3345]E(f295(a20,f295(a3,x33451)),x33451) % 192.26/192.33 [3346]P7(f295(f107(a1),x33461)) % 192.26/192.33 [3355]E(f295(f177(f903(x33551)),f120(x33551)),f2(a902)) % 192.26/192.33 [3376]E(f295(f295(f23(a902),x33761),f2(a902)),x33761) % 192.26/192.33 [3377]E(f295(f295(f83(a902),x33771),f2(a902)),x33771) % 192.26/192.33 [3378]E(f295(f295(f83(a1),x33781),f2(a1)),x33781) % 192.26/192.33 [3379]E(f295(f295(f206(a902),x33791),f2(a902)),x33791) % 192.26/192.33 [3380]E(f295(f295(f84(a902),x33801),f81(a902)),x33801) % 192.26/192.33 [3381]E(f295(f295(f84(a1),x33811),f81(a1)),x33811) % 192.26/192.33 [3382]E(f295(f295(f205(a902),x33821),f2(a902)),f2(a902)) % 192.26/192.33 [3383]E(f295(f295(f84(a902),x33831),f2(a902)),f2(a902)) % 192.26/192.33 [3384]E(f295(f295(f40(a1),x33841),f2(a1)),f2(a1)) % 192.26/192.33 [3390]E(f295(f160(x33901),f120(x33901)),f176(f911(x33901,a897))) % 192.26/192.33 [3393]P1(f295(f126(x33931),f120(x33931))) % 192.26/192.33 [3399]E(f295(f143(x33991,x33991),f36(x33991)),f36(f903(x33991))) % 192.26/192.33 [3400]E(f295(f143(x34001,x34001),f5(x34001)),f36(f903(x34001))) % 192.26/192.33 [3401]E(f46(a1,x34011,f2(a1)),x34011) % 192.26/192.33 [3402]E(f295(f207(a902),f295(a119,x34021)),f295(f208(a902),x34021)) % 192.26/192.33 [3403]E(f295(f249(a902),f295(a119,x34031)),f295(f267(a902),x34031)) % 192.26/192.33 [3404]E(f295(f250(a902),f295(a119,x34041)),f295(f270(a902),x34041)) % 192.26/192.33 [3406]E(f46(a1,f2(a1),x34061),f2(a1)) % 192.26/192.33 [3413]E(f295(f295(f83(a902),x34131),f81(a902)),f295(a119,x34131)) % 192.26/192.33 [3422]E(f295(f268(a902,x34221),f2(a902)),f176(f911(a902,a897))) % 192.26/192.33 [3434]E(f269(a902,f2(a902),x34341),f295(f267(a902),x34341)) % 192.26/192.33 [3479]E(f295(f295(f23(a902),f295(a119,x34791)),f81(a902)),x34791) % 192.26/192.33 [3491]E(f48(f2(a1),x34911),f295(f295(f217(a1,a1),f2(a1)),f2(a1))) % 192.26/192.33 [3542]P1(f295(f295(f208(a902),x35421),f295(a119,x35421))) % 192.26/192.33 [3554]P1(f295(f295(f208(a902),f2(a902)),f295(a119,x35541))) % 192.26/192.33 [3773]E(f94(x37731,x37731,f214(f911(x37731,a897)),f36(x37731)),f36(x37731)) % 192.26/192.33 [3775]P42(x37751,x37751,f36(f911(x37751,x37751)),f36(x37751)) % 192.26/192.33 [3830]E(f295(f295(f23(a106),f295(a3,f295(a119,f295(a20,x38301)))),f81(a106)),x38301) % 192.26/192.33 [3832]E(f295(f295(f74(f910(a1,a1),a1,x38321),f227(a1,a1)),f187(x38321)),f189(x38321)) % 192.26/192.33 [3833]E(f295(f295(f74(f910(a1,a1),a1,x38331),f216(a1,a1)),f187(x38331)),f196(x38331)) % 192.26/192.33 [3899]P1(f295(f295(f207(a1),f295(f82(a1),f295(f107(a1),x38991))),f2(a1))) % 192.26/192.33 [4040]P1(f295(f295(f208(a1),f295(f82(a1),f295(f107(a1),f295(a119,x40401)))),f2(a1))) % 192.26/192.33 [4644]~E(f214(f911(x46441,a897)),f176(f911(x46441,a897))) % 192.26/192.33 [4695]~P1(f295(f295(f208(a902),x46951),f2(a902))) % 192.26/192.33 [4711]~P1(f295(f295(f208(a1),f295(f107(a1),x47111)),f2(a1))) % 192.26/192.33 [3359]E(f166(x33591,f120(f903(x33591))),f120(f903(x33591))) % 192.26/192.33 [3362]E(f295(f295(f84(a1),a86),x33621),a86) % 192.26/192.33 [3363]E(f295(f295(f83(a1),a86),x33631),x33631) % 192.26/192.33 [3366]E(f295(a111,f295(f107(a1),x33661)),x33661) % 192.26/192.33 [3367]E(f295(f295(f23(a1),x33671),a86),x33671) % 192.26/192.33 [3368]E(f295(f295(f83(a1),x33681),a86),x33681) % 192.26/192.33 [3370]E(f295(f295(f23(a902),x33701),x33701),f2(a902)) % 192.26/192.33 [3374]E(f295(f82(a1),f295(f82(a1),x33741)),x33741) % 192.26/192.33 [3375]E(f295(f39(a902),f295(f249(a902),x33751)),x33751) % 192.26/192.33 [3385]E(f295(f295(f83(a902),f2(a902)),x33851),x33851) % 192.26/192.33 [3386]E(f295(f295(f83(a1),f2(a1)),x33861),x33861) % 192.26/192.33 [3387]E(f295(f295(f206(a902),f2(a902)),x33871),x33871) % 192.26/192.33 [3388]E(f295(f295(f84(a902),f81(a902)),x33881),x33881) % 192.26/192.33 [3389]E(f295(f295(f84(a1),f81(a1)),x33891),x33891) % 192.26/192.33 [3394]E(f295(f295(f23(a902),f2(a902)),x33941),f2(a902)) % 192.26/192.33 [3395]E(f295(f295(f205(a902),f2(a902)),x33951),f2(a902)) % 192.26/192.33 [3396]E(f295(f295(f84(a902),f2(a902)),x33961),f2(a902)) % 192.26/192.33 [3397]E(f295(f295(f40(a1),f2(a1)),x33971),f2(a1)) % 192.26/192.33 [3410]E(f295(f268(a902,f2(a902)),x34101),f295(f249(a902),x34101)) % 192.26/192.33 [3411]E(f295(f295(f84(a1),a104),x34111),f295(f82(a1),x34111)) % 192.26/192.33 [3415]E(f295(a111,f295(f110(a1),x34151)),f295(f110(a902),x34151)) % 192.26/192.33 [3416]E(f295(a20,f295(f110(a106),x34161)),f295(f110(a902),x34161)) % 192.26/192.33 [3417]E(f295(f39(a902),f295(f267(a902),x34171)),f295(a119,x34171)) % 192.26/192.33 [3426]E(f295(f295(f83(a902),f81(a902)),x34261),f295(a119,x34261)) % 192.26/192.33 [3430]E(f295(f109(a1),f295(f107(a1),x34301)),f295(f107(a1),x34301)) % 192.26/192.33 [3431]E(f295(f77(a1),f295(f107(a1),x34311)),f295(f107(a1),x34311)) % 192.26/192.33 [3435]E(f295(f39(x34351),f176(f911(x34351,a897))),f2(a902)) % 192.26/192.33 [3437]E(f295(f295(f40(a902),x34371),f295(a119,f2(a902))),x34371) % 192.26/192.33 [3446]E(f46(a902,x34461,f295(a119,f2(a902))),f2(a902)) % 192.26/192.33 [3447]E(f46(a1,x34471,f295(f110(a1),a104)),f2(a1)) % 192.26/192.33 [3462]E(f295(f295(f40(a1),x34621),f295(f110(a1),a104)),f295(f82(a1),x34621)) % 192.26/192.33 [3466]E(f128(a902,f295(f268(a902,x34661),f2(a902))),f120(a902)) % 192.26/192.33 [3467]E(f295(f295(f83(a1),x34671),f81(a1)),f295(f295(f23(a1),x34671),a104)) % 192.26/192.33 [3468]E(f295(f295(f23(a1),x34681),f81(a1)),f295(f295(f83(a1),x34681),a104)) % 192.26/192.33 [3473]P1(f295(f295(f182(a25),x34731),x34731)) % 192.26/192.33 [3474]P1(f295(f295(f207(a902),x34741),x34741)) % 192.26/192.33 [3475]P1(f295(f295(f207(a1),x34751),x34751)) % 192.26/192.33 [3480]E(f295(f82(a1),f295(f110(a1),x34801)),f295(f110(a1),f295(f82(a1),x34801))) % 192.26/192.33 [3481]P1(f295(f62(a902),f295(f249(a902),x34811))) % 192.26/192.33 [3482]P1(f295(f62(a902),f295(f267(a902),x34821))) % 192.26/192.33 [3489]E(f150(x34891,f214(f911(x34891,a897))),f214(f911(f903(x34891),a897))) % 192.26/192.33 [3494]P1(f295(f295(f207(a902),f2(a902)),x34941)) % 192.26/192.33 [3505]E(f295(f295(f83(a902),f118(x35051)),f295(a119,f2(a902))),f118(f295(a119,x35051))) % 192.26/192.33 [3506]E(f295(f212(x35061),f295(f16(a897,x35061),a174)),f214(f911(x35061,a897))) % 192.26/192.33 [3507]E(f295(f212(x35071),f295(f16(a897,x35071),a175)),f176(f911(x35071,a897))) % 192.26/192.33 [3511]E(f295(f295(f275(a902),x35111),f295(f249(a902),x35111)),f295(f249(a902),f295(a119,x35111))) % 192.26/192.33 [3523]E(f295(f295(f83(a1),f81(a1)),f295(f107(a1),x35231)),f295(f107(a1),f295(a119,x35231))) % 192.26/192.33 [3526]E(f295(f295(f140(f903(x35261)),f120(x35261)),f120(f903(x35261))),f55(x35261,f120(x35261))) % 192.26/192.33 [3545]E(f176(f911(f910(x35451,x35451),a897)),f213(x35451,f176(f911(x35451,a897)))) % 192.26/192.33 [3546]E(f295(f274(x35461),f214(f911(x35461,a897))),f214(f911(f911(x35461,a897),a897))) % 192.26/192.33 [3547]E(f295(f82(f911(x35471,a897)),f214(f911(x35471,a897))),f176(f911(x35471,a897))) % 192.26/192.33 [3548]E(f295(f82(f911(x35481,a897)),f176(f911(x35481,a897))),f214(f911(x35481,a897))) % 192.26/192.33 [3550]P1(f295(f62(x35501),f176(f911(x35501,a897)))) % 192.26/192.33 [3552]E(f295(f268(a902,x35521),f295(a119,x35521)),f295(f295(f275(a902),x35521),f176(f911(a902,a897)))) % 192.26/192.33 [3553]E(f88(f910(a902,a902),f49(x35531,f2(a902))),f295(f295(f217(a902,a902),f2(a902)),x35531)) % 192.26/192.33 [3565]E(f295(f295(f275(a902),f295(a119,x35651)),f295(f267(a902),x35651)),f295(f267(a902),f295(a119,x35651))) % 192.26/192.33 [3571]P36(x35711,f176(f911(f910(x35711,x35711),a897))) % 192.26/192.33 [3572]P39(x35721,f176(f911(f910(x35721,x35721),a897))) % 192.26/192.33 [3575]P1(f295(f295(f207(a1),f2(a1)),f295(f107(a1),x35751))) % 192.26/192.33 [3582]E(f295(f295(f83(a902),f295(f177(a902),x35821)),f295(a119,f2(a902))),f295(f177(a902),f295(a119,x35821))) % 192.26/192.33 [3682]P40(f295(f276(a902,a1,f107(a1)),x36821)) % 192.26/192.33 [3718]P58(x37181,f176(f911(x37181,a897)),f176(f911(f910(x37181,x37181),a897))) % 192.26/192.33 [3737]E(f295(f295(f217(a1,a1),f295(f110(a1),a104)),f295(f295(f23(a1),x37371),f81(a1))),f51(f295(f110(a1),a104),x37371)) % 192.26/192.33 [3786]P65(x37861,f295(f16(f911(x37861,a897),x37861),f295(f16(a897,x37861),a175))) % 192.26/192.33 [3979]P1(f295(f295(f297(f911(f910(a902,a902),a897)),f296(x39791)),a105)) % 192.26/192.33 [4004]P1(f295(f295(f297(f911(f910(a902,a902),a897)),f295(a114,x40041)),a105)) % 192.26/192.33 [4136]P24(x41361,f911(x41361,a897),f295(f295(f7(x41361,f911(x41361,a897),f911(x41361,a897)),f275(x41361)),f176(f911(x41361,a897))),f214(f911(x41361,a897))) % 192.26/192.33 [4641]~E(f295(f295(f83(a1),x46411),x46411),a104) % 192.26/192.33 [4682]~E(f295(a3,f295(a119,f295(a20,x46821))),f2(a106)) % 192.26/192.33 [4688]~P1(f295(a179,f295(f107(a1),x46881))) % 192.26/192.33 [4691]~P1(f295(f295(f208(a902),x46911),x46911)) % 192.26/192.33 [4704]~P1(f295(f295(f207(a902),f295(a119,x47041)),x47041)) % 192.26/192.33 [3496]E(f295(a111,f295(f82(a1),f295(f107(a1),x34961))),f2(a902)) % 192.26/192.33 [3499]E(f295(f295(f83(a1),f295(f82(a1),x34991)),x34991),f2(a1)) % 192.26/192.33 [3504]E(f295(f39(a1),f295(f268(a1,f2(a1)),x35041)),f295(a111,x35041)) % 192.26/192.33 [3516]E(f295(f295(f218(a902),f295(a119,f2(a902))),x35161),f295(a119,f2(a902))) % 192.26/192.33 [3613]E(f295(f248(x36131),f176(f911(f910(x36131,x36131),a897))),f176(f911(x36131,a897))) % 192.26/192.33 [3621]E(f42(f911(x36211,a897),f214(f911(f911(x36211,a897),a897))),f176(f911(x36211,a897))) % 192.26/192.33 [3622]E(f42(f911(x36221,a897),f176(f911(f911(x36221,a897),a897))),f214(f911(x36221,a897))) % 192.26/192.33 [3623]E(f41(f911(x36231,a897),f214(f911(f911(x36231,a897),a897))),f214(f911(x36231,a897))) % 192.26/192.33 [3624]E(f41(f911(x36241,a897),f176(f911(f911(x36241,a897),a897))),f176(f911(x36241,a897))) % 192.26/192.33 [3664]E(f295(f295(f275(f903(x36641)),f120(x36641)),f176(f911(f903(x36641),a897))),f151(x36641,f120(f911(x36641,a897)))) % 192.26/192.33 [3665]E(f295(f295(f275(f903(x36651)),f120(x36651)),f176(f911(f903(x36651),a897))),f150(x36651,f176(f911(x36651,a897)))) % 192.26/192.33 [3704]E(f295(f295(f83(a902),f4(x37041)),f295(a119,f2(a902))),f4(f295(a3,f295(a119,f295(a20,x37041))))) % 192.26/192.33 [3729]E(f295(f39(a1),f295(f276(a902,a1,f107(a1)),x37291)),f295(f39(a902),x37291)) % 192.26/192.33 [3732]P1(f295(f295(f207(a902),x37321),f295(f295(f84(a902),x37321),x37321))) % 192.26/192.33 [3766]E(f295(f276(a1,a902,a111),f269(a1,f2(a1),f295(f107(a1),x37661))),f295(f267(a902),x37661)) % 192.26/192.33 [3781]E(f295(f295(f40(a902),f295(a119,f2(a902))),f295(f110(a902),x37811)),f295(a111,f295(f295(f40(a1),f81(a1)),f295(f110(a1),x37811)))) % 192.26/192.33 [3783]E(f295(f160(a902),f128(a902,f295(f268(a902,f2(a902)),f295(a119,x37831)))),f295(f267(a902),x37831)) % 192.26/192.33 [3784]E(f295(f295(f83(a902),f295(f177(a106),x37841)),f295(a119,f2(a902))),f295(f177(a106),f295(a3,f295(a119,f295(a20,x37841))))) % 192.26/192.33 [3803]P38(x38031,f273(x38031,f176(f911(f910(x38031,x38031),a897)))) % 192.26/192.33 [3805]P39(x38051,f273(x38051,f176(f911(f910(x38051,x38051),a897)))) % 192.26/192.33 [3806]E(f295(f276(a1,a902,a111),f295(f276(a902,a1,f107(a1)),x38061)),x38061) % 192.26/192.33 [3837]E(f295(f295(f275(a902),f2(a902)),f295(f276(a902,a902,a119),f295(f249(a902),x38371))),f295(f249(a902),f295(a119,x38371))) % 192.26/192.33 [3843]P60(x38431,x38431,f273(x38431,f176(f911(f910(x38431,x38431),a897)))) % 192.26/192.33 [3849]P1(f295(a179,f295(f82(a1),f295(f107(a1),f295(a119,x38491))))) % 192.26/192.33 [3859]E(f295(f295(f23(f911(a902,a897)),f295(f250(a902),x38591)),f295(f295(f275(a902),x38591),f176(f911(a902,a897)))),f295(f250(a902),f295(a119,x38591))) % 192.26/192.33 [3875]E(f295(f295(f83(a1),f295(f295(f23(a1),a86),x38751)),f295(f295(f23(a1),a86),x38751)),f295(f295(f23(a1),a86),f295(f295(f83(a1),x38751),x38751))) % 192.26/192.33 [3890]E(f295(f295(f275(f911(x38901,a897)),f176(f911(x38901,a897))),f176(f911(f911(x38901,a897),a897))),f295(f274(x38901),f176(f911(x38901,a897)))) % 192.26/192.33 [3913]E(f295(f295(f23(f911(a902,a897)),f295(f270(a902),x39131)),f295(f295(f275(a902),f295(a119,x39131)),f176(f911(a902,a897)))),f295(f270(a902),f295(a119,x39131))) % 192.26/192.33 [4016]E(f295(f110(a902),f295(f295(f83(a1),x40161),x40161)),f295(f295(f89(a902,a902),f295(f110(a902),x40161)),f295(f295(f18(a902,a902,a902),f83(a902)),f5(a902)))) % 192.26/192.33 [4379]P13(x43791,f911(x43791,a897),f295(f295(f8(f911(x43791,a897),f911(f911(x43791,a897),f911(x43791,a897)),x43791),f295(f7(f911(x43791,a897),f911(x43791,a897),f911(x43791,a897)),f23(f911(x43791,a897)))),f295(f295(f7(x43791,f911(x43791,a897),f911(x43791,a897)),f275(x43791)),f176(f911(x43791,a897))))) % 192.26/192.33 [4466]E(f295(f212(f910(a1,a1)),f295(f228(a1,a1,a897),f295(f295(f8(f911(a1,a897),f911(a1,a897),a1),f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),x44661)))),f208(a1)))),f112(x44661)) % 192.26/192.33 [4496]E(f295(f212(f910(a1,a1)),f295(f228(a1,a1,a897),f295(f295(f18(a1,f911(a1,a897),f911(a1,a897)),f295(f295(f8(f911(a897,a897),f911(f911(a1,a897),f911(a1,a897)),a1),f8(a897,a897,a1)),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),x44961)))),f208(a1)))),f113(x44961)) % 192.26/192.33 [4547]E(f295(f212(f910(f911(x45471,a897),f911(x45471,a897))),f295(f228(f911(x45471,a897),f911(x45471,a897),a897),f295(f295(f7(f911(x45471,a897),f911(f911(x45471,a897),a897),f911(f911(x45471,a897),a897)),f295(f295(f8(f911(f911(x45471,a897),f911(a897,a897)),f911(f911(f911(x45471,a897),a897),f911(f911(x45471,a897),a897)),f911(x45471,a897)),f18(f911(x45471,a897),a897,a897)),f295(f295(f8(f911(f911(x45471,a897),a897),f911(f911(x45471,a897),f911(a897,a897)),f911(x45471,a897)),f295(f8(a897,f911(a897,a897),f911(x45471,a897)),a293)),f208(f911(x45471,a897))))),f62(x45471)))),f283(x45471)) % 192.26/192.33 [4708]~P1(f295(f62(f903(x47081)),f214(f911(f903(x47081),a897)))) % 192.26/192.33 [4720]~P1(f295(f295(f207(a1),f2(a1)),f295(f82(a1),f295(f107(a1),f295(a119,x47201))))) % 192.26/192.33 [3644]E(f295(f295(f23(a1),f295(f295(f83(a1),x36441),a104)),a104),x36441) % 192.26/192.33 [3658]E(f295(f160(a902),f128(a902,f295(f268(a902,f2(a902)),x36581))),f295(f249(a902),x36581)) % 192.26/192.33 [3895]E(f295(f295(f83(a1),f295(f295(f83(a1),f81(a1)),x38951)),x38951),f295(f295(f23(a1),f295(f295(f83(a1),x38951),x38951)),a104)) % 192.26/192.33 [3935]E(f295(f253(x39351,x39351),f273(x39351,f176(f911(f910(x39351,x39351),a897)))),f273(x39351,f176(f911(f910(x39351,x39351),a897)))) % 192.26/192.33 [3982]P1(f295(f295(f207(a902),x39821),f295(f295(f84(a902),x39821),f295(f295(f84(a902),x39821),x39821)))) % 192.26/192.33 [4247]P1(f295(f62(a902),f295(f212(a902),f295(f295(f7(a902,a902,a897),f207(a902)),x42471)))) % 192.26/192.33 [4248]P1(f295(f62(a902),f295(f212(a902),f295(f295(f7(a902,a902,a897),f208(a902)),x42481)))) % 192.26/192.33 [4512]E(f295(f212(f910(x45121,x45121)),f295(f295(f8(f911(x45121,a897),a897,f910(x45121,x45121)),f90(x45121)),f295(f295(f7(f910(x45121,x45121),f911(x45121,f910(x45121,x45121)),f911(x45121,a897)),f295(f295(f8(f911(f910(x45121,x45121),a897),f911(f911(x45121,f910(x45121,x45121)),f911(x45121,a897)),f910(x45121,x45121)),f8(f910(x45121,x45121),a897,x45121)),a292)),f295(f295(f18(x45121,x45121,f910(x45121,x45121)),f217(x45121,x45121)),f5(x45121))))),f273(x45121,f176(f911(f910(x45121,x45121),a897)))) % 192.26/192.33 [4710]~E(f295(f295(f23(a1),f295(f295(f83(a1),x47101),x47101)),a104),a86) % 192.26/192.33 [4712]~E(f295(f295(f83(a1),f295(f295(f83(a1),f81(a1)),x47121)),x47121),f2(a1)) % 192.26/192.33 [4028]E(f295(f295(f83(a1),f295(f295(f23(a1),a104),x40281)),f295(f295(f23(a1),a104),x40281)),f295(f295(f23(a1),a104),f295(f295(f23(a1),f295(f295(f83(a1),x40281),x40281)),a104))) % 192.26/192.33 [4142]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),a104),x41421)),f295(f295(f23(a1),a104),x41421))),a104),f295(f295(f23(a1),a104),f295(f295(f83(a1),x41421),x41421))) % 192.26/192.33 [4177]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f83(a1),x41771),a104)),f295(f295(f83(a1),x41771),a104))),a104),f295(f295(f83(a1),f295(f295(f83(a1),x41771),x41771)),a104)) % 192.26/192.33 [4215]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),a104),x42151)),f295(f295(f23(a1),a104),x42151))),a104),f295(f295(f23(a1),a86),f295(f295(f23(a1),f295(f295(f83(a1),x42151),x42151)),a104))) % 192.26/192.33 [4305]E(f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x43051),f2(a902))),f176(f911(f910(a902,a902),a897))))),f295(f107(a1),x43051)) % 192.26/192.33 [4314]E(f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),f606(x43141)),f619(x43141))),f176(f911(f910(a902,a902),a897))))),x43141) % 192.26/192.33 [4342]E(f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x43421)),f295(f276(a902,a1,f107(a1)),f295(f212(a902),f295(f295(f8(a1,a897,a902),x43421),f107(a1))))) % 192.26/192.33 [4387]P40(f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x43871))) % 192.26/192.33 [4406]P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x44061),f176(f911(f910(a902,a902),a897)))),a73)) % 192.26/192.33 [4411]E(f295(f276(a1,a902,a111),f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),f295(f295(f8(a902,a897,a1),x44111),a111)))),f295(f212(a902),x44111)) % 192.26/192.33 [4565]E(f279(a902,f295(f295(f44(f910(a902,a902),f911(a902,a897)),f295(a114,x45651)),f295(f228(a902,a902,f911(a902,a897)),f295(f295(f7(a902,f911(a902,a897),f911(a902,f911(a902,a897))),f295(f295(f8(f911(a902,f911(f911(a902,a897),f911(a902,a897))),f911(f911(a902,a897),f911(a902,f911(a902,a897))),a902),f7(a902,f911(a902,a897),f911(a902,a897))),f295(f295(f8(f911(a902,a902),f911(a902,f911(f911(a902,a897),f911(a902,a897))),a902),f295(f8(a902,f911(f911(a902,a897),f911(a902,a897)),a902),f275(a902))),f23(a902)))),f176(f911(a902,a897)))))),f295(a111,x45651)) % 192.26/192.33 [4073]E(f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),x40731),x40731)),a104)),a104),f295(f295(f83(a1),x40731),x40731)) % 192.26/192.33 [4124]E(f295(f295(f23(a1),f295(f295(f23(a1),f295(f295(f83(a1),x41241),x41241)),a104)),a104),f295(f295(f83(a1),f295(f295(f23(a1),x41241),a104)),f295(f295(f23(a1),x41241),a104))) % 192.26/192.33 [4320]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f83(a1),f295(f82(a1),x43201)),a104)),f295(f295(f83(a1),f295(f82(a1),x43201)),a104))),a104),f295(f82(a1),f295(f295(f23(a1),f295(f295(f83(a1),x43201),x43201)),a104))) % 192.26/192.33 [4356]E(f295(f295(f83(a902),x43561),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(a119,f295(a119,x43561))) % 192.26/192.33 [4357]E(f295(f295(f84(a902),x43571),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f83(a902),x43571),x43571)) % 192.26/192.33 [4359]E(f295(f295(f40(a902),f295(f295(f83(a902),x43591),x43591)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x43591) % 192.26/192.33 [4439]E(f46(a902,f295(a119,f295(a119,x44391)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f46(a902,x44391,f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.33 [4582]E(f295(a92,f295(f295(f44(f910(a902,a902),f911(f910(a902,a902),a897)),f295(a114,x45821)),f295(f228(a902,a902,f911(f910(a902,a902),a897)),f295(f295(f8(f911(a902,f911(f910(a902,a902),a897)),f911(a902,f911(f910(a902,a902),a897)),a902),f295(f8(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897),a902),f252(f910(a902,a902),f910(a902,a902),a115))),f295(f295(f7(a902,f911(f910(a902,a902),a897),f911(a902,f911(f910(a902,a902),a897))),f295(f295(f8(f911(a902,f911(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f911(f911(f910(a902,a902),a897),f911(a902,f911(f910(a902,a902),a897))),a902),f7(a902,f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f8(f911(a902,f910(a902,a902)),f911(a902,f911(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),a902),f295(f8(f910(a902,a902),f911(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),a902),f275(f910(a902,a902)))),f295(f7(a902,a902,f910(a902,a902)),f217(a902,a902))))),f176(f911(f910(a902,a902),a897))))))),f295(f82(a1),x45821)) % 192.26/192.33 [4434]E(f295(f295(f83(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x44341),f295(a119,f295(a119,x44341))) % 192.26/192.33 [4435]E(f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x44351),f295(f295(f83(a902),x44351),x44351)) % 192.26/192.33 [4472]E(f295(f295(f40(a902),f295(a119,f295(a119,x44721))),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(a119,f295(f295(f40(a902),x44721),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.33 [4519]E(f295(f295(f83(a902),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),x45191),f295(a119,f295(a119,f295(a119,x45191)))) % 192.26/192.33 [4602]E(f295(f228(a1,a1,f910(a1,a1)),f295(f295(f18(a1,f911(a1,f910(a1,a1)),f911(a1,f910(a1,a1))),f295(f295(f8(f911(a1,f911(f910(a1,a1),f910(a1,a1))),f911(f911(a1,f910(a1,a1)),f911(a1,f910(a1,a1))),a1),f18(a1,f910(a1,a1),f910(a1,a1))),f295(f295(f8(f911(a1,f910(a1,a1)),f911(a1,f911(f910(a1,a1),f910(a1,a1))),a1),f295(f18(a1,f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),f295(f295(f8(a897,f911(f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),a1),f103(f910(a1,a1))),f295(f295(f8(a1,a897,a1),f295(f207(a1),f2(a1))),f295(f295(f7(a1,a1,a1),f23(a1)),x46021))))),f295(f295(f7(a1,f911(a1,a1),f911(a1,f910(a1,a1))),f295(f295(f8(f911(a1,f910(a1,a1)),f911(f911(a1,a1),f911(a1,f910(a1,a1))),a1),f8(a1,f910(a1,a1),a1)),f295(f295(f8(a1,f911(a1,f910(a1,a1)),a1),f217(a1,a1)),f295(f295(f7(a1,a1,a1),f295(f295(f8(a1,f911(a1,a1),a1),f83(a1)),f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f81(a1))))),f295(f295(f7(a1,a1,a1),f23(a1)),x46021))))),f295(f295(f8(a1,f911(a1,f910(a1,a1)),a1),f217(a1,a1)),f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))))),f45(x46021)) % 192.26/192.33 [3330]P3(f27(x33301,x33302)) % 192.26/192.33 [3331]P98(f910(x33311,x33312)) % 192.26/192.33 [3332]P98(f912(x33321,x33322)) % 192.26/192.33 [3349]P12(a1,f165(x33491,x33492)) % 192.26/192.33 [3350]P36(x33501,f142(x33501,x33502)) % 192.26/192.33 [3351]P38(x33511,f213(x33511,x33512)) % 192.26/192.33 [3352]P37(x33521,f213(x33521,x33522)) % 192.26/192.33 [3353]P37(x33531,f273(x33531,x33532)) % 192.26/192.33 [3354]P39(x33541,f213(x33541,x33542)) % 192.26/192.33 [3412]P30(x34121,x34122,f120(x34121)) % 192.26/192.33 [3441]P58(x34411,x34412,f213(x34411,x34412)) % 192.26/192.33 [3442]P60(x34421,x34421,f213(x34421,x34422)) % 192.26/192.33 [3707]P24(x37071,x37071,f36(x37071),x37072) % 192.26/192.33 [3708]P24(x37081,x37081,f5(x37081),x37082) % 192.26/192.33 [3713]P31(x37131,x37132,f120(x37131),f120(x37131)) % 192.26/192.33 [3722]P24(f903(x37221),f903(x37221),f157(x37221),x37222) % 192.26/192.33 [4367]E(f235(x43671,x43671,x43672,x43672,a292,a292),a292) % 192.26/192.33 [4616]~E(f33(x46161,x46162),a25) % 192.26/192.33 [4617]~E(f27(x46171,x46172),a25) % 192.26/192.33 [4618]~E(f32(x46181,x46182),a25) % 192.26/192.33 [4659]~P32(x46591,x46592,f120(x46591)) % 192.26/192.33 [4660]~P33(x46601,x46602,f120(x46601)) % 192.26/192.33 [3316]E(f295(f36(x33161),x33162),x33162) % 192.26/192.33 [3317]E(f295(f5(x33171),x33172),x33172) % 192.26/192.33 [3318]E(f295(f212(x33181),x33182),x33182) % 192.26/192.33 [3337]E(f31(f27(x33371,x33372)),f2(a902)) % 192.26/192.33 [3347]E(f88(x33471,f295(a292,x33472)),x33472) % 192.26/192.33 [3348]E(f93(x33481,f295(a292,x33482)),x33482) % 192.26/192.33 [3369]E(f295(f177(a898),f27(x33691,x33692)),f2(a902)) % 192.26/192.33 [3372]E(f295(f125(x33721,x33722),f120(x33721)),f120(x33721)) % 192.26/192.33 [3391]E(f141(x33911,f141(x33911,x33912)),f141(x33911,x33912)) % 192.26/192.33 [3392]E(f273(x33921,f273(x33921,x33922)),f273(x33921,x33922)) % 192.26/192.33 [3408]E(f295(f295(f122(x34081),x34082),f120(x34081)),x34082) % 192.26/192.33 [3418]E(f295(f295(f161(x34181),x34182),f120(x34181)),f120(x34181)) % 192.26/192.33 [3419]E(f295(f295(f127(x34191),x34192),f120(x34191)),f120(x34191)) % 192.26/192.33 [3421]E(f144(x34211,x34212,f120(x34211)),f2(a902)) % 192.26/192.33 [3423]E(f158(x34231,x34232,f120(x34231)),f120(x34231)) % 192.26/192.33 [3424]E(f164(x34241,x34242,f120(x34241)),f120(x34241)) % 192.26/192.33 [3425]E(f162(x34251,f120(x34251),x34252),f120(x34251)) % 192.26/192.33 [3429]E(f295(f160(x34291),f141(x34291,x34292)),f295(f160(x34291),x34292)) % 192.26/192.33 [3432]E(f295(f251(x34321,x34321),f213(x34321,x34322)),x34322) % 192.26/192.33 [3433]E(f295(f215(x34331,x34331),f213(x34331,x34332)),x34332) % 192.26/192.33 [3440]E(f295(f253(x34401,x34401),f213(x34401,x34402)),f213(x34401,x34402)) % 192.26/192.33 [3453]E(f273(f903(x34531),f146(x34531,x34532)),f147(x34531,f273(x34531,x34532))) % 192.26/192.33 [3455]P1(f295(f126(a1),f165(x34551,x34552))) % 192.26/192.33 [3464]E(f295(f251(x34641,x34641),f273(x34641,x34642)),f214(f911(x34641,a897))) % 192.26/192.33 [3465]E(f295(f215(x34651,x34651),f273(x34651,x34652)),f214(f911(x34651,a897))) % 192.26/192.33 [3469]P1(f295(f126(x34691),f141(x34691,x34692))) % 192.26/192.33 [3471]P1(f295(f149(x34711,x34712),f120(x34711))) % 192.26/192.33 [3478]E(f295(f160(a1),f165(x34781,x34782)),f269(a1,x34781,x34782)) % 192.26/192.33 [3492]P61(x34921,f176(f911(x34921,a897)),x34922) % 192.26/192.33 [3497]E(f295(f227(a1,a1),f47(x34971,x34972)),f46(a1,x34971,x34972)) % 192.26/192.33 [3498]E(f295(f268(a902,x34981),f295(a119,x34982)),f269(a902,x34981,x34982)) % 192.26/192.33 [3515]E(f295(f295(f140(x35151),x35152),f120(x35151)),f129(x35151,x35152,f120(x35151))) % 192.26/192.33 [3528]E(f269(a902,f295(a119,x35281),x35282),f271(a902,x35281,x35282)) % 192.26/192.33 [3531]P58(x35311,f214(f911(x35311,a897)),f273(x35311,x35312)) % 192.26/192.33 [3593]E(f295(f295(f23(a902),x35931),f295(a119,x35932)),f295(f39(a902),f272(a902,x35932,x35931))) % 192.26/192.33 [3645]E(f155(x36451,x36452,f120(x36451)),f295(f295(f217(f903(x36451),f903(x36451)),f120(x36451)),f120(x36451))) % 192.26/192.33 [3662]E(f295(f228(x36621,x36622,f910(x36621,x36622)),f217(x36621,x36622)),f36(f910(x36621,x36622))) % 192.26/192.33 [3666]P1(f295(f295(f297(f903(x36661)),f120(x36661)),f150(x36661,x36662))) % 192.26/192.33 [3667]E(f295(f177(f903(x36671)),f121(x36671,x36672)),f295(f295(f23(a902),f295(f177(f903(x36671)),x36672)),f81(a902))) % 192.26/192.33 [3676]P1(f295(f62(a902),f272(a902,x36761,x36762))) % 192.26/192.33 [3677]P1(f295(f62(a902),f271(a902,x36771,x36772))) % 192.26/192.33 [3678]P1(f295(f62(a902),f269(a902,x36781,x36782))) % 192.26/192.33 [3679]P1(f295(f62(a1),f272(a1,x36791,x36792))) % 192.26/192.33 [3680]P1(f295(f62(a1),f271(a1,x36801,x36802))) % 192.26/192.33 [3681]P1(f295(f62(a1),f269(a1,x36811,x36812))) % 192.26/192.33 [3780]E(f295(f276(a902,a902,a119),f269(a902,x37801,x37802)),f269(a902,f295(a119,x37801),f295(a119,x37802))) % 192.26/192.33 [3788]E(f98(x37881,f299(x37881,x37882),f521(x37881,x37882),f740(x37881,x37882)),x37882) % 192.26/192.33 [3800]E(f295(f295(f255(x38001,x38001,x38001),f273(x38001,x38002)),f273(x38001,x38002)),f273(x38001,x38002)) % 192.26/192.33 [3835]E(f295(f295(f217(a1,a1),f295(f295(f40(a1),x38351),x38352)),f46(a1,x38351,x38352)),f47(x38351,x38352)) % 192.26/192.33 [3836]E(f295(f295(f217(a106,a106),f295(f295(f40(a106),x38361),x38362)),f46(a106,x38361,x38362)),f22(x38361,x38362)) % 192.26/192.33 [3863]E(f295(f295(f217(a902,a902),f295(f295(f40(a902),x38631),x38632)),f46(a902,x38631,x38632)),f88(f910(a902,a902),f49(x38631,x38632))) % 192.26/192.33 [3910]P1(f295(f295(f208(a902),f295(f295(f23(a902),x39101),x39102)),f295(a119,x39101))) % 192.26/192.33 [3954]P37(x39541,f295(f295(f255(x39541,x39541,x39541),x39542),f273(x39541,x39542))) % 192.26/192.33 [4002]E(f295(f295(f83(a1),f295(f295(f84(a1),x40021),f295(f295(f40(a1),x40022),x40021))),f46(a1,x40022,x40021)),x40022) % 192.26/192.33 [4007]E(f295(f295(f44(a902,f911(f910(f903(x40071),f903(x40071)),a897)),f214(f911(a902,a897))),f132(x40071,x40072)),f134(x40071,x40072)) % 192.26/192.33 [4226]P1(f295(f295(f297(f910(f903(x42261),f903(x42261))),f295(f295(f217(f903(x42261),f903(x42261)),f120(x42261)),f120(x42261))),f147(x42261,x42262))) % 192.26/192.33 [4332]E(f222(x43321,x43321,x43321,a292,f222(x43321,x43321,x43321,x43322,a292)),x43322) % 192.26/192.33 [4369]E(f79(x43691,x43691,x43692,x43692,f36(x43691),f36(x43692)),f36(f911(x43691,x43692))) % 192.26/192.33 [4370]E(f79(x43701,x43701,x43702,x43702,f5(x43701),f5(x43702)),f36(f911(x43701,x43702))) % 192.26/192.33 [4373]E(f229(x43731,x43731,x43732,x43732,f36(x43731),f36(x43732)),f36(f910(x43731,x43732))) % 192.26/192.33 [4374]E(f229(x43741,x43741,x43742,x43742,f5(x43741),f5(x43742)),f36(f910(x43741,x43742))) % 192.26/192.33 [3407]E(f295(f157(x34071),f295(f157(x34071),x34072)),x34072) % 192.26/192.33 [3409]E(f295(f295(f127(x34091),f2(a902)),x34092),x34092) % 192.26/192.33 [3420]E(f295(f295(f161(x34201),f2(a902)),x34202),f120(x34201)) % 192.26/192.33 [3427]E(f295(f295(f122(x34271),f120(x34271)),x34272),x34272) % 192.26/192.33 [3436]E(f41(f911(x34361,a897),f295(f274(x34361),x34362)),x34362) % 192.26/192.33 [3438]E(f295(f160(x34381),f295(f156(x34381),x34382)),f295(f160(x34381),x34382)) % 192.26/192.33 [3439]E(f295(f160(x34391),f295(f157(x34391),x34392)),f295(f160(x34391),x34392)) % 192.26/192.33 [3444]E(f295(f295(f23(a106),x34441),x34442),f295(f295(a24,x34441),x34442)) % 192.26/192.33 [3458]E(f295(f295(f83(a902),x34581),x34582),f295(f295(f83(a902),x34582),x34581)) % 192.26/192.33 [3459]E(f295(f295(f83(a1),x34591),x34592),f295(f295(f83(a1),x34592),x34591)) % 192.26/192.33 [3460]E(f295(f295(f84(a902),x34601),x34602),f295(f295(f84(a902),x34602),x34601)) % 192.26/192.33 [3461]E(f295(f295(f84(a1),x34611),x34612),f295(f295(f84(a1),x34612),x34611)) % 192.26/192.33 [3484]E(f295(f295(f170(x34841,x34841),f2(a902)),x34842),f36(x34841)) % 192.26/192.33 [3485]E(f295(f177(f903(x34851)),f295(f156(x34851),x34852)),f295(f177(f903(x34851)),x34852)) % 192.26/192.33 [3486]E(f295(f177(f903(x34861)),f295(f157(x34861),x34862)),f295(f177(f903(x34861)),x34862)) % 192.26/192.33 [3487]E(f162(x34871,x34872,f176(f911(a902,a897))),f120(x34871)) % 192.26/192.33 [3488]E(f295(f295(f143(x34881,x34881),f5(x34881)),x34882),x34882) % 192.26/192.33 [3490]E(f295(f216(a1,a1),f47(x34901,x34902)),f295(f295(f40(a1),x34901),x34902)) % 192.26/192.33 [3508]E(f295(f177(f903(x35081)),f141(x35081,x35082)),f295(f39(x35081),f295(f160(x35081),x35082))) % 192.26/192.33 [3509]E(f31(f32(x35091,x35092)),f295(f295(f83(a902),f31(x35092)),f295(a119,f2(a902)))) % 192.26/192.33 [3510]E(f295(f248(x35101),f295(f253(x35101,x35101),x35102)),f295(f248(x35101),x35102)) % 192.26/192.33 [3514]P1(f295(f62(x35141),f295(f160(x35141),x35142))) % 192.26/192.33 [3522]E(f295(f295(f83(a1),x35221),f295(f82(a1),x35222)),f295(f295(f23(a1),x35221),x35222)) % 192.26/192.33 [3530]P23(x35301,x35302,f176(f911(f901(x35301),a897))) % 192.26/192.33 [3532]E(f295(f276(x35321,x35321,f36(x35321)),x35322),x35322) % 192.26/192.33 [3533]E(f295(f276(x35331,x35331,f5(x35331)),x35332),x35332) % 192.26/192.33 [3534]E(f295(f278(x35341,x35341,f36(x35341)),x35342),x35342) % 192.26/192.33 [3535]E(f295(f278(x35351,x35351,f5(x35351)),x35352),x35352) % 192.26/192.33 [3536]P1(f295(f214(f911(x35361,a897)),x35362)) % 192.26/192.33 [3538]E(f295(f39(a902),f295(f268(a902,x35381),x35382)),f295(f295(f23(a902),x35382),x35381)) % 192.26/192.33 [3539]E(f295(f268(a902,f295(a119,x35391)),x35392),f272(a902,x35391,x35392)) % 192.26/192.33 [3551]E(f295(f295(f275(x35511),x35512),f176(f911(x35511,a897))),f295(f212(x35511),f295(a292,x35512))) % 192.26/192.33 [3557]E(f273(x35571,f295(f253(x35571,x35571),x35572)),f295(f253(x35571,x35571),f273(x35571,x35572))) % 192.26/192.33 [3561]E(f295(f295(f83(a902),f295(a119,x35611)),x35612),f295(f295(f83(a902),x35611),f295(a119,x35612))) % 192.26/192.33 [3562]E(f295(f295(f23(a902),f295(a119,x35621)),f295(a119,x35622)),f295(f295(f23(a902),x35621),x35622)) % 192.26/192.33 [3567]E(f56(x35671,f2(a902),x35672),f295(f295(f140(f903(x35671)),f120(x35671)),f120(f903(x35671)))) % 192.26/192.33 [3570]E(f295(f39(a902),f271(a902,x35701,x35702)),f295(f295(f23(a902),x35702),x35701)) % 192.26/192.33 [3579]P36(x35791,f295(f295(f254(a902,x35791),a211),x35792)) % 192.26/192.33 [3581]P12(a902,f128(a902,f295(f268(a902,x35811),x35812))) % 192.26/192.33 [3583]P1(f295(f62(a902),f295(f268(a902,x35831),x35832))) % 192.26/192.33 [3584]P1(f295(f62(a1),f295(f268(a1,x35841),x35842))) % 192.26/192.33 [3586]E(f295(f253(f903(x35861),f903(x35861)),f146(x35861,x35862)),f146(x35861,f295(f253(x35861,x35861),x35862))) % 192.26/192.33 [3587]E(f295(f177(a898),f32(x35871,x35872)),f295(f295(f83(a902),f295(f177(a898),x35872)),f295(a119,f2(a902)))) % 192.26/192.33 [3589]E(f295(f268(a1,x35891),f295(f295(f83(a1),x35892),f81(a1))),f269(a1,x35891,x35892)) % 192.26/192.33 [3592]E(f295(f295(f40(a1),f295(f82(a1),x35921)),f295(f82(a1),x35922)),f295(f295(f40(a1),x35921),x35922)) % 192.26/192.33 [3600]E(f295(f295(f170(f910(x36001,x36001),a897),f81(a902)),x36002),x36002) % 192.26/192.33 [3602]E(f295(f295(f117(f911(x36021,a897)),x36022),f176(f911(x36021,a897))),x36022) % 192.26/192.33 [3603]E(f295(f295(f108(f911(x36031,a897)),x36032),f214(f911(x36031,a897))),x36032) % 192.26/192.33 [3604]E(f295(f295(f23(f911(x36041,a897)),x36042),f176(f911(x36041,a897))),x36042) % 192.26/192.33 [3605]E(f295(f216(a902,a902),f88(f910(a902,a902),f49(x36051,x36052))),f295(f295(f40(a902),x36051),x36052)) % 192.26/192.33 [3612]E(f269(a1,f295(f295(f83(a1),x36121),f81(a1)),x36122),f271(a1,x36121,x36122)) % 192.26/192.33 [3617]E(f295(f227(a902,a902),f88(f910(a902,a902),f49(x36171,x36172))),f46(a902,x36171,x36172)) % 192.26/192.33 [3627]P1(f295(f295(f297(x36271),x36272),f214(f911(x36271,a897)))) % 192.26/192.33 [3630]E(f295(f295(f23(a902),f295(a119,x36301)),x36302),f295(f39(a902),f269(a902,x36302,x36301))) % 192.26/192.33 [3654]E(f295(f295(f117(f911(x36541,a897)),x36542),f214(f911(x36541,a897))),f214(f911(x36541,a897))) % 192.26/192.33 [3655]E(f295(f295(f108(f911(x36551,a897)),x36552),f176(f911(x36551,a897))),f176(f911(x36551,a897))) % 192.26/192.33 [3656]E(f295(f295(f23(f911(x36561,a897)),x36562),f214(f911(x36561,a897))),f176(f911(x36561,a897))) % 192.26/192.33 [3670]E(f46(a1,f295(f82(a1),x36701),f295(f82(a1),x36702)),f295(f82(a1),f46(a1,x36701,x36702))) % 192.26/192.33 [3671]E(f46(a1,f295(f107(a1),x36711),f295(f107(a1),x36712)),f295(f107(a1),f46(a902,x36711,x36712))) % 192.26/192.33 [3683]E(f295(f177(f903(x36831)),f295(f159(x36831),x36832)),f295(f295(f23(a902),f295(f177(f903(x36831)),x36832)),f81(a902))) % 192.26/192.33 [3709]E(f295(f295(f40(a1),f46(a1,x37091,x37092)),x37092),f2(a1)) % 192.26/192.33 [3716]E(f295(a3,f46(a902,f295(a20,x37161),f295(a20,x37162))),f46(a106,x37161,x37162)) % 192.26/192.33 [3749]E(f295(a3,f295(f295(f23(a902),f295(a20,x37491)),f295(a20,x37492))),f295(f295(f23(a106),x37491),x37492)) % 192.26/192.33 [3750]E(f295(a3,f295(f295(f83(a902),f295(a20,x37501)),f295(a20,x37502))),f295(f295(f83(a106),x37501),x37502)) % 192.26/192.33 [3751]E(f295(a3,f295(f295(f84(a902),f295(a20,x37511)),f295(a20,x37512))),f295(f295(f84(a106),x37511),x37512)) % 192.26/192.33 [3752]E(f295(a3,f295(f295(f40(a902),f295(a20,x37521)),f295(a20,x37522))),f295(f295(f40(a106),x37521),x37522)) % 192.26/192.33 [3760]E(f295(f276(a902,a902,a119),f295(f268(a902,x37601),x37602)),f295(f268(a902,f295(a119,x37601)),f295(a119,x37602))) % 192.26/192.33 [3785]P1(f295(f49(x37851,x37852),f88(f910(a902,a902),f49(x37851,x37852)))) % 192.26/192.33 [3809]E(f295(f295(f83(a902),f295(f295(f83(a902),f31(x38091)),f31(x38092))),f295(a119,f2(a902))),f31(f33(x38091,x38092))) % 192.26/192.33 [3810]E(f46(a902,f295(a119,f46(a902,x38101,x38102)),x38102),f46(a902,f295(a119,x38101),x38102)) % 192.26/192.33 [3822]E(f295(f295(f43(f911(x38221,a897),f911(x38221,a897)),x38222),f5(f911(x38221,a897))),f42(f911(x38221,a897),x38222)) % 192.26/192.33 [3823]E(f295(f295(f44(f911(x38231,a897),f911(x38231,a897)),x38232),f5(f911(x38231,a897))),f41(f911(x38231,a897),x38232)) % 192.26/192.33 [3824]E(f295(f276(f903(x38241),f911(x38241,a897),f160(x38241)),f295(f160(f903(x38241)),f55(x38241,x38242))),f295(f274(x38241),f295(f160(x38241),x38242))) % 192.26/192.33 [3827]P1(f295(f295(f297(f911(x38271,a897)),x38272),f295(f274(x38271),x38272))) % 192.26/192.33 [3834]E(f46(a1,f295(f82(a1),f46(a1,x38341,x38342)),x38342),f46(a1,f295(f82(a1),x38341),x38342)) % 192.26/192.33 [3845]P1(f295(f295(f207(f911(x38451,a897)),x38452),f214(f911(x38451,a897)))) % 192.26/192.33 [3847]E(f295(f295(f255(x38471,x38471,x38471),f273(x38471,x38472)),f273(x38471,f273(x38471,x38472))),f273(x38471,x38472)) % 192.26/192.33 [3848]E(f295(f295(f117(f911(x38481,a897)),f295(f215(x38481,x38481),x38482)),f295(f251(x38481,x38481),x38482)),f295(f248(x38481),x38482)) % 192.26/192.33 [3868]E(f282(x38681,x38682,f214(f911(x38681,a897)),f214(f911(x38682,a897))),f214(f911(f912(x38681,x38682),a897))) % 192.26/192.33 [3914]P1(f295(f295(f207(a902),f46(a902,x39141,x39142)),x39141)) % 192.26/192.33 [3933]P1(f295(f295(f207(a1),f295(f82(a1),f295(f107(a1),x39331))),f295(f107(a1),x39332))) % 192.26/192.33 [3960]P1(f295(f295(f297(f911(x39601,a897)),f176(f911(x39601,a897))),f295(f274(x39601),x39602))) % 192.26/192.33 [3965]E(f273(x39651,f295(f295(f255(x39651,x39651,x39651),x39652),f273(x39651,x39652))),f273(x39651,x39652)) % 192.26/192.33 [3968]E(f295(f295(f255(x39681,x39681,x39681),f273(x39681,x39682)),x39682),f295(f295(f255(x39681,x39681,x39681),x39682),f273(x39681,x39682))) % 192.26/192.33 [3970]E(f295(a111,f295(f295(f83(a1),f295(f295(f23(a1),x39701),x39702)),f81(a1))),f295(f39(a1),f269(a1,x39702,x39701))) % 192.26/192.33 [3983]E(f295(f251(x39831,x39831),f295(f295(f255(x39831,x39831,x39831),x39832),f273(x39831,x39832))),f295(f251(x39831,x39831),x39832)) % 192.26/192.33 [3984]E(f295(f215(x39841,x39841),f295(f295(f255(x39841,x39841,x39841),x39842),f273(x39841,x39842))),f295(f215(x39841,x39841),x39842)) % 192.26/192.33 [3999]E(f295(f295(f83(a902),f295(f295(f83(a902),f295(f177(a898),x39991)),f295(f177(a898),x39992))),f295(a119,f2(a902))),f295(f177(a898),f33(x39991,x39992))) % 192.26/192.33 [4011]P24(a902,a902,f295(f295(f7(a902,a902,a902),f83(a902)),x40111),x40112) % 192.26/192.33 [4013]P12(a902,f295(f157(a902),f295(f295(f143(f903(x40131),a902),f177(f903(x40131))),f166(x40131,x40132)))) % 192.26/192.33 [4048]P38(x40481,f295(f295(f117(f911(f910(x40481,x40481),a897)),x40482),f295(f253(x40481,x40481),x40482))) % 192.26/192.33 [4049]P38(x40491,f295(f295(f108(f911(f910(x40491,x40491),a897)),x40492),f295(f253(x40491,x40491),x40492))) % 192.26/192.33 [4060]P1(f295(f295(f208(a1),f295(f82(a1),f295(f107(a1),f295(a119,x40601)))),f295(f107(a1),x40602))) % 192.26/192.33 [4104]E(f295(f131(f903(x41041),x41041,f295(f7(x41041,f903(x41041),f903(x41041)),f140(x41041)),f120(x41041)),x41042),f295(f157(x41041),x41042)) % 192.26/192.33 [4151]P1(f295(f295(f207(f911(f910(f903(x41511),f903(x41511)),a897)),f147(x41511,x41512)),f273(f903(x41511),f146(x41511,x41512)))) % 192.26/192.33 [4182]P1(f295(f49(x41821,x41822),f295(f295(f217(a902,a902),f295(f295(f40(a902),x41821),x41822)),f46(a902,x41821,x41822)))) % 192.26/192.33 [4194]P1(f295(f295(f207(f911(f910(f903(x41941),f903(x41941)),a897)),f146(x41941,f273(x41941,x41942))),f273(f903(x41941),f146(x41941,x41942)))) % 192.26/192.33 [4396]E(f295(f295(f230(f910(a106,a106),a106,f910(a106,a106),f910(x43961,f910(a106,a106))),f234(f295(f154(a106),f295(f295(f143(f910(a106,x43961),a106),f216(a106,x43961)),x43962)))),f295(f295(f8(x43961,f911(f910(a106,a106),f910(x43961,f910(a106,a106))),a106),f217(x43961,f910(a106,a106))),f239(x43961,x43962))),f233(x43961,x43962)) % 192.26/192.33 [4581]E(f295(f228(f911(f910(x45811,x45811),a897),f911(f910(x45811,x45811),a897),f911(f911(x45812,x45811),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897)))),f295(f295(f7(f911(f910(x45811,x45811),a897),f911(f911(f910(x45811,x45811),a897),f911(f911(x45812,x45811),f911(f910(x45812,x45812),a897))),f911(f911(f910(x45811,x45811),a897),f911(f911(x45812,x45811),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897))))),f295(f295(f8(f911(f911(f911(x45812,x45811),f911(f910(x45812,x45812),a897)),f911(f911(x45812,x45811),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897)))),f911(f911(f911(f910(x45811,x45811),a897),f911(f911(x45812,x45811),f911(f910(x45812,x45812),a897))),f911(f911(f910(x45811,x45811),a897),f911(f911(x45812,x45811),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897))))),f911(f910(x45811,x45811),a897)),f8(f911(f911(x45812,x45811),f911(f910(x45812,x45812),a897)),f911(f911(x45812,x45811),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897))),f911(f910(x45811,x45811),a897))),f295(f295(f8(f911(f911(x45812,x45811),f911(f911(f910(x45812,x45812),a897),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897)))),f911(f911(f911(x45812,x45811),f911(f910(x45812,x45812),a897)),f911(f911(x45812,x45811),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897)))),f911(f910(x45811,x45811),a897)),f18(f911(x45812,x45811),f911(f910(x45812,x45812),a897),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897)))),f295(f295(f8(f911(f911(x45812,x45811),f911(f910(x45812,x45812),a897)),f911(f911(x45812,x45811),f911(f911(f910(x45812,x45812),a897),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897)))),f911(f910(x45811,x45811),a897)),f295(f8(f911(f910(x45812,x45812),a897),f911(f911(f910(x45812,x45812),a897),f910(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897))),f911(x45812,x45811)),f217(f911(f910(x45812,x45812),a897),f911(f910(x45812,x45812),a897)))),f254(x45811,x45812))))),f254(x45811,x45812))),f75(x45811,x45812)) % 192.26/192.33 [4689]~E(f295(f274(x46891),x46892),f176(f911(f911(x46891,a897),a897))) % 192.26/192.33 [4707]~P1(f295(f295(f297(x47071),x47072),f176(f911(x47071,a897)))) % 192.26/192.33 [4715]~P1(f295(f295(f208(f911(x47151,a897)),x47152),f176(f911(x47151,a897)))) % 192.26/192.33 [3541]E(f295(f295(f23(a902),x35411),f295(f295(f83(a902),x35411),x35412)),f2(a902)) % 192.26/192.33 [3543]E(f295(f295(f117(f911(x35431,a897)),x35432),x35432),x35432) % 192.26/192.33 [3544]E(f295(f295(f108(f911(x35441,a897)),x35442),x35442),x35442) % 192.26/192.33 [3573]E(f295(f295(f23(f911(x35731,a897)),x35732),x35732),f176(f911(x35731,a897))) % 192.26/192.33 [3576]E(f295(f132(x35761,x35762),f2(a902)),f176(f911(f910(f903(x35761),f903(x35761)),a897))) % 192.26/192.33 [3577]E(f295(f295(f83(a902),x35771),f295(a119,x35772)),f295(a119,f295(f295(f83(a902),x35771),x35772))) % 192.26/192.33 [3588]E(f183(f295(f107(a1),x35881),f295(f107(a1),x35882)),f295(f107(a1),f295(f295(f23(a902),x35881),x35882))) % 192.26/192.33 [3591]E(f295(f295(f40(a1),f295(f82(a1),x35911)),x35912),f295(f295(f40(a1),x35911),f295(f82(a1),x35912))) % 192.26/192.33 [3595]E(f295(f39(a1),f295(f268(a1,x35951),x35952)),f295(a111,f295(f295(f23(a1),x35952),x35951))) % 192.26/192.33 [3598]E(f295(f295(f83(a902),f295(a119,x35981)),x35982),f295(a119,f295(f295(f83(a902),x35981),x35982))) % 192.26/192.33 [3601]E(f295(f82(f911(x36011,a897)),f295(f82(f911(x36011,a897)),x36012)),x36012) % 192.26/192.33 [3614]E(f166(x36141,f295(f295(f140(f903(x36141)),f120(x36141)),x36142)),f166(x36141,x36142)) % 192.26/192.33 [3618]E(f295(f295(f83(a902),x36181),f295(f295(f84(a902),x36181),x36182)),f295(f295(f84(a902),x36181),f295(a119,x36182))) % 192.26/192.33 [3625]E(f295(f295(a24,f295(a3,x36251)),f295(a3,x36252)),f295(a3,f295(f295(f23(a902),x36251),x36252))) % 192.26/192.33 [3637]E(f295(f295(f218(a1),f295(f107(a1),x36371)),x36372),f295(f107(a1),f295(f295(f218(a902),x36371),x36372))) % 192.26/192.33 [3638]E(f295(f295(f84(a1),f295(f82(a1),x36381)),x36382),f295(f82(a1),f295(f295(f84(a1),x36381),x36382))) % 192.26/192.33 [3639]E(f295(f295(f83(a106),f295(a3,x36391)),f295(a3,x36392)),f295(a3,f295(f295(f83(a902),x36391),x36392))) % 192.26/192.33 [3640]E(f295(f295(f205(a902),f295(a119,x36401)),f295(a119,x36402)),f295(a119,f295(f295(f205(a902),x36401),x36402))) % 192.26/192.33 [3641]E(f295(f295(f206(a902),f295(a119,x36411)),f295(a119,x36412)),f295(a119,f295(f295(f206(a902),x36411),x36412))) % 192.26/192.33 [3642]E(f295(f295(f84(a106),f295(a3,x36421)),f295(a3,x36422)),f295(a3,f295(f295(f84(a902),x36421),x36422))) % 192.26/192.33 [3647]E(f295(f160(a902),f128(a902,f295(f268(a902,x36471),x36472))),f295(f268(a902,x36471),x36472)) % 192.26/192.33 [3648]E(f279(x36481,f295(f295(f275(x36481),x36482),f176(f911(x36481,a897)))),x36482) % 192.26/192.33 [3652]E(f295(f251(x36521,x36522),f176(f911(f910(x36521,x36522),a897))),f176(f911(x36522,a897))) % 192.26/192.33 [3653]E(f295(f215(x36531,x36532),f176(f911(f910(x36531,x36532),a897))),f176(f911(x36531,a897))) % 192.26/192.33 [3657]E(f295(a111,f295(f295(f23(a1),x36571),x36572)),f295(f39(a1),f271(a1,x36572,x36571))) % 192.26/192.33 [3661]E(f295(f295(f83(a902),x36611),f295(f295(f84(a902),x36612),x36611)),f295(f295(f84(a902),f295(a119,x36612)),x36611)) % 192.26/192.33 [3663]E(f295(f295(f61(x36631),f176(f911(x36631,a897))),x36632),f176(f911(f911(x36631,a897),a897))) % 192.26/192.33 [3672]E(f295(f177(f903(a902)),f128(a902,f295(f268(a902,x36721),x36722))),f295(f295(f23(a902),x36722),x36721)) % 192.26/192.33 [3688]E(f295(f295(f117(f911(x36881,a897)),f176(f911(x36881,a897))),x36882),x36882) % 192.26/192.33 [3689]E(f295(f295(f108(f911(x36891,a897)),f214(f911(x36891,a897))),x36892),x36892) % 192.26/192.33 [3690]E(f295(f295(f83(a1),f295(f82(a1),x36901)),f295(f82(a1),x36902)),f295(f82(a1),f295(f295(f83(a1),x36901),x36902))) % 192.26/192.33 [3695]E(f295(f295(f83(a1),f295(f107(a1),x36951)),f295(f107(a1),x36952)),f295(f107(a1),f295(f295(f83(a902),x36951),x36952))) % 192.26/192.33 [3696]E(f295(f295(f83(a1),f295(f110(a1),x36961)),f295(f110(a1),x36962)),f295(f110(a1),f295(f295(f83(a1),x36961),x36962))) % 192.26/192.33 [3698]E(f295(f295(f84(a1),f295(f107(a1),x36981)),f295(f107(a1),x36982)),f295(f107(a1),f295(f295(f84(a902),x36981),x36982))) % 192.26/192.33 [3699]E(f295(f295(f84(a1),f295(f110(a1),x36991)),f295(f110(a1),x36992)),f295(f110(a1),f295(f295(f84(a1),x36991),x36992))) % 192.26/192.33 [3700]E(f295(f295(f40(a1),f295(f107(a1),x37001)),f295(f107(a1),x37002)),f295(f107(a1),f295(f295(f40(a902),x37001),x37002))) % 192.26/192.33 [3717]E(f295(f295(f6(x37171,a902),f295(f16(a902,x37171),f81(a902))),x37172),f295(f39(x37171),x37172)) % 192.26/192.33 [3724]E(f295(f82(a1),f46(a1,f295(f82(a1),x37241),x37242)),f46(a1,x37241,f295(f82(a1),x37242))) % 192.26/192.33 [3726]E(f295(f160(a1),f165(x37261,f295(f295(f23(a1),x37262),f81(a1)))),f295(f268(a1,x37261),x37262)) % 192.26/192.33 [3730]P1(f295(f295(f207(a902),x37301),f295(f295(f83(a902),x37302),x37301))) % 192.26/192.33 [3731]P1(f295(f295(f207(a902),x37311),f295(f295(f83(a902),x37311),x37312))) % 192.26/192.33 [3734]E(f295(f295(f117(f911(x37341,a897)),f214(f911(x37341,a897))),x37342),f214(f911(x37341,a897))) % 192.26/192.33 [3735]E(f295(f295(f108(f911(x37351,a897)),f176(f911(x37351,a897))),x37352),f176(f911(x37351,a897))) % 192.26/192.33 [3736]E(f295(f295(f23(f911(x37361,a897)),f176(f911(x37361,a897))),x37362),f176(f911(x37361,a897))) % 192.26/192.33 [3741]E(f295(f295(f217(a1,a1),x37411),f295(f82(a1),x37412)),f295(a52,f295(f295(f217(a1,a1),x37411),x37412))) % 192.26/192.33 [3742]E(f295(f268(a1,f295(f295(f83(a1),x37421),f81(a1))),x37422),f272(a1,x37421,x37422)) % 192.26/192.33 [3753]E(f295(f295(f84(a902),x37531),f295(f295(f40(a902),x37532),x37531)),f295(f295(f23(a902),x37532),f46(a902,x37532,x37531))) % 192.26/192.33 [3754]E(f295(f295(f84(a1),x37541),f295(f295(f40(a1),x37542),x37541)),f295(f295(f23(a1),x37542),f46(a1,x37542,x37541))) % 192.26/192.33 [3757]E(f295(f160(a1),f165(f295(f295(f83(a1),x37571),f81(a1)),x37572)),f271(a1,x37571,x37572)) % 192.26/192.33 [3761]P1(f295(f295(f207(f911(x37611,a897)),x37612),x37612)) % 192.26/192.33 [3764]E(f295(f295(f117(f911(x37641,a897)),x37642),f295(f82(f911(x37641,a897)),x37642)),f214(f911(x37641,a897))) % 192.26/192.33 [3765]E(f295(f295(f108(f911(x37651,a897)),x37652),f295(f82(f911(x37651,a897)),x37652)),f176(f911(x37651,a897))) % 192.26/192.33 [3771]E(f295(f295(f23(a902),f295(f295(f23(a902),x37711),f81(a902))),x37712),f295(f295(f23(a902),x37711),f295(a119,x37712))) % 192.26/192.33 [3777]E(f295(f295(f23(f911(x37771,a897)),f214(f911(x37771,a897))),x37772),f295(f82(f911(x37771,a897)),x37772)) % 192.26/192.33 [3778]E(f295(f295(f23(a1),f295(f110(a1),x37781)),f295(f110(a1),x37782)),f295(f110(a1),f295(f295(f83(a1),x37781),f295(f82(a1),x37782)))) % 192.26/192.33 [3791]E(f295(f160(a902),f128(a902,f295(f268(a902,x37911),f295(a119,x37912)))),f269(a902,x37911,x37912)) % 192.26/192.33 [3798]P1(f295(f295(f295(f295(a184,a25),x37981),x37982),x37981)) % 192.26/192.33 [3807]E(f295(f177(f903(f903(x38071))),f55(x38071,x38072)),f295(f295(f218(a902),f295(a119,f295(a119,f2(a902)))),f295(f177(f903(x38071)),x38072))) % 192.26/192.33 [3825]E(f295(f295(f170(f910(x38251,x38251),a897),f2(a902)),x38252),f273(x38251,f176(f911(f910(x38251,x38251),a897)))) % 192.26/192.33 [3829]P1(f295(f126(a902),f128(a902,f295(f268(a902,x38291),x38292)))) % 192.26/192.33 [3846]E(f295(f276(a1,a902,a111),f269(a1,f295(f107(a1),x38461),f295(f107(a1),x38462))),f269(a902,x38461,x38462)) % 192.26/192.33 [3855]E(f172(a902,f2(a902),f5(a902),f295(f295(f23(a902),x38551),x38552)),f295(f295(f23(a902),x38551),f295(a119,x38552))) % 192.26/192.33 [3856]E(f295(a111,f295(f295(f23(a1),x38561),f295(f295(f83(a1),x38562),f81(a1)))),f295(f39(a1),f272(a1,x38562,x38561))) % 192.26/192.33 [3891]E(f295(f295(f143(a902,a902),a119),f128(a902,f295(f268(a902,x38911),x38912))),f128(a902,f295(f268(a902,f295(a119,x38911)),f295(a119,x38912)))) % 192.26/192.33 [3897]E(f295(f160(a1),f165(f295(f295(f83(a1),x38971),f81(a1)),f295(f295(f23(a1),x38972),f81(a1)))),f272(a1,x38971,x38972)) % 192.26/192.33 [3907]P1(f295(f295(f207(f911(x39071,a897)),f176(f911(x39071,a897))),x39072)) % 192.26/192.33 [3911]E(f88(x39111,f295(f295(f7(x39111,x39111,a897),a292),x39112)),x39112) % 192.26/192.33 [3912]E(f93(x39121,f295(f295(f7(x39121,x39121,a897),a292),x39122)),x39122) % 192.26/192.33 [3915]E(f295(f160(a902),f128(a902,f295(f268(a902,f295(a119,x39151)),f295(a119,x39152)))),f271(a902,x39151,x39152)) % 192.26/192.33 [3936]E(f295(f295(f226(x39361,x39362),f214(f911(x39361,a897))),f295(f16(f911(x39362,a897),x39361),f214(f911(x39362,a897)))),f214(f911(f910(x39361,x39362),a897))) % 192.26/192.33 [3972]E(f295(f212(x39721),f295(f295(f8(a897,a897,x39721),a291),x39722)),f295(f82(f911(x39721,a897)),f295(f212(x39721),x39722))) % 192.26/192.33 [3975]E(f295(f212(x39751),f295(f295(f7(x39751,x39751,a897),a292),x39752)),f295(f295(f275(x39751),x39752),f176(f911(x39751,a897)))) % 192.26/192.33 [3980]E(f295(f295(f83(a1),f295(f295(f23(a1),x39801),x39802)),f295(f295(f23(a1),x39801),x39802)),f295(f295(f23(a1),f295(f295(f83(a1),x39801),x39801)),f295(f295(f83(a1),x39802),x39802))) % 192.26/192.33 [3981]E(f295(f295(f83(a1),f295(f295(f83(a1),x39811),x39811)),f295(f295(f83(a1),x39812),x39812)),f295(f295(f83(a1),f295(f295(f83(a1),x39811),x39812)),f295(f295(f83(a1),x39811),x39812))) % 192.26/192.33 [3996]P1(f295(f295(f207(a902),f295(f39(x39961),f295(f160(x39961),x39962))),f295(f177(f903(x39961)),x39962))) % 192.26/192.33 [3997]P1(f295(f295(f207(a902),f295(f177(f903(x39971)),f141(x39971,x39972))),f295(f177(f903(x39971)),x39972))) % 192.26/192.33 [4003]E(f181(x40031,f295(f295(f217(a1,a1),f295(f82(a1),f295(f196(x40031),x40032))),f295(f189(x40031),x40032))),f198(x40031,x40032)) % 192.26/192.33 [4008]E(f295(f212(x40081),f295(f295(f7(x40081,f911(x40081,a897),a897),f297(x40081)),x40082)),x40082) % 192.26/192.33 [4023]E(f295(f295(f161(x40231),f295(f295(f23(a902),f295(f177(f903(x40231)),x40232)),f81(a902))),x40232),f121(x40231,x40232)) % 192.26/192.33 [4047]E(f172(a902,f2(a902),f295(f295(f8(a902,a902,a902),a119),f295(f205(a902),x40471)),x40472),f295(f295(f205(a902),f295(a119,x40471)),x40472)) % 192.26/192.33 [4052]E(f41(f911(x40521,a897),f295(f276(f911(f910(x40521,x40521),a897),f911(x40521,a897),f248(x40521)),x40522)),f295(f248(x40521),f41(f911(f910(x40521,x40521),a897),x40522))) % 192.26/192.33 [4053]E(f172(a902,f295(a119,x40531),f295(f295(f8(a902,a902,a902),a119),f295(f206(a902),x40531)),x40532),f295(f295(f206(a902),f295(a119,x40531)),x40532)) % 192.26/192.33 [4055]E(f295(f295(f217(a1,a1),f295(f295(f40(a1),f295(f77(a1),x40551)),f295(f77(a1),x40552))),f46(a1,f295(f77(a1),x40551),f295(f77(a1),x40552))),f54(x40551,x40552)) % 192.26/192.33 [4075]P1(f295(f295(f207(f911(f911(x40751,a897),a897)),x40752),f295(f274(x40751),f41(f911(x40751,a897),x40752)))) % 192.26/192.33 [4110]E(f295(f295(f44(x41101,f911(x41101,a897)),x41102),f295(f295(f7(x41101,f911(x41101,a897),f911(x41101,a897)),f275(x41101)),f176(f911(x41101,a897)))),x41102) % 192.26/192.33 [4111]E(f295(f295(f255(x41111,x41111,x41111),f295(f253(x41111,x41111),x41112)),f273(x41111,f295(f253(x41111,x41111),x41112))),f295(f253(x41111,x41111),f295(f295(f255(x41111,x41111,x41111),x41112),f273(x41111,x41112)))) % 192.26/192.33 [4171]E(f295(f160(x41711),f295(f131(f903(x41711),f903(x41711),f122(x41711),f120(x41711)),x41712)),f295(f295(f44(f903(x41711),f911(x41711,a897)),f295(f160(f903(x41711)),x41712)),f160(x41711))) % 192.26/192.33 [4204]E(f295(f295(f117(f911(f910(x42041,x42041),a897)),f273(x42041,f176(f911(f910(x42041,x42041),a897)))),f295(f295(f255(x42041,x42041,x42041),f273(x42041,x42042)),x42042)),f273(x42041,x42042)) % 192.26/192.33 [4233]E(f295(f295(f168(x42331,x42331),x42332),x42332),f295(f295(f143(x42331,f910(x42331,x42331)),f295(f295(f18(x42331,x42331,f910(x42331,x42331)),f217(x42331,x42331)),f5(x42331))),x42332)) % 192.26/192.33 [4339]E(f295(f131(a902,f903(x43391),f295(f7(f903(x43391),a902,a902),f295(f295(f8(a902,f911(a902,a902),f903(x43391)),f206(a902)),f177(f903(x43391)))),f2(a902)),f295(f157(f903(x43391)),x43392)),f295(f177(f903(f903(x43391))),f166(x43391,x43392))) % 192.26/192.33 [4410]E(f295(f295(f254(f910(a902,f903(x44101)),f903(x44101)),f288(a902,f903(x44101),a211,f134(x44101,x44102))),f295(f295(f18(f903(x44101),f903(x44101),f910(a902,f903(x44101))),f295(f295(f8(a902,f911(f903(x44101),f910(a902,f903(x44101))),f903(x44101)),f217(a902,f903(x44101))),f177(f903(x44101)))),f5(f903(x44101)))),f135(x44101,x44102)) % 192.26/192.33 [4536]E(f295(f212(x45361),f295(f295(f8(f911(f911(x45361,a897),a897),a897,x45361),f91(f911(x45361,a897))),f295(f295(f8(f911(f911(x45361,a897),a897),f911(f911(x45361,a897),a897),x45361),f295(f18(f911(x45361,a897),a897,a897),f295(f295(f8(a897,f911(a897,a897),f911(x45361,a897)),a298),f295(f295(f7(f911(x45361,a897),f911(f911(x45361,a897),a897),a897),f297(f911(x45361,a897))),x45362)))),f297(x45361)))),f42(f911(x45361,a897),x45362)) % 192.26/192.33 [4537]E(f295(f212(x45371),f295(f295(f8(f911(f911(x45371,a897),a897),a897,x45371),f90(f911(x45371,a897))),f295(f295(f8(f911(f911(x45371,a897),a897),f911(f911(x45371,a897),a897),x45371),f295(f18(f911(x45371,a897),a897,a897),f295(f295(f8(a897,f911(a897,a897),f911(x45371,a897)),a293),f295(f295(f7(f911(x45371,a897),f911(f911(x45371,a897),a897),a897),f297(f911(x45371,a897))),x45372)))),f297(x45371)))),f41(f911(x45371,a897),x45372)) % 192.26/192.33 [4716]~P1(f295(f295(f208(a1),f295(f107(a1),x47161)),f295(f82(a1),f295(f107(a1),x47162)))) % 192.26/192.33 [3659]E(f295(f295(f23(a902),f295(f295(f83(a902),x36591),x36592)),x36592),x36591) % 192.26/192.33 [3660]E(f295(f295(f23(a902),f295(f295(f83(a902),x36601),x36602)),x36601),x36602) % 192.26/192.33 [3725]E(f295(f295(f83(a902),f295(f295(f23(a902),x37251),x37252)),x37252),f295(f295(f206(a902),x37251),x37252)) % 192.26/192.33 [3831]E(f295(f295(f84(a902),f295(f295(f40(a902),x38311),x38312)),x38312),f295(f295(f23(a902),x38311),f46(a902,x38311,x38312))) % 192.26/192.33 [3860]E(f295(f160(a902),f128(a902,f295(f268(a902,f295(a119,x38601)),x38602))),f272(a902,x38601,x38602)) % 192.26/192.33 [3867]E(f295(f107(a1),f192(f295(a111,f295(f77(a1),x38671)),f295(a111,f295(f77(a1),x38672)))),f295(f295(a193,x38671),x38672)) % 192.26/192.33 [3869]E(f295(f295(f117(f911(x38691,a897)),f295(f82(f911(x38691,a897)),x38692)),x38692),f214(f911(x38691,a897))) % 192.26/192.33 [3870]E(f295(f295(f108(f911(x38701,a897)),f295(f82(f911(x38701,a897)),x38702)),x38702),f176(f911(x38701,a897))) % 192.26/192.33 [3887]P1(f295(f295(f207(a902),f295(f295(f23(a902),x38871),x38872)),x38871)) % 192.26/192.33 [3888]P1(f295(f295(f207(a902),f295(f295(f40(a902),x38881),x38882)),x38881)) % 192.26/192.33 [3908]P1(f295(f295(f208(a902),x39081),f295(a119,f295(f295(f83(a902),x39082),x39081)))) % 192.26/192.33 [3909]P1(f295(f295(f208(a902),x39091),f295(a119,f295(f295(f83(a902),x39091),x39092)))) % 192.26/192.33 [3922]E(f295(f295(f84(a902),f295(a111,f295(f77(a1),x39221))),f295(a111,f295(f77(a1),x39222))),f295(a111,f295(f77(a1),f295(f295(f84(a1),x39221),x39222)))) % 192.26/192.33 [3932]P1(f295(f295(f207(a1),f2(a1)),f295(f295(f218(a1),f295(f77(a1),x39321)),x39322))) % 192.26/192.33 [4001]E(f295(f252(f903(x40011),f903(x40011),f147(x40011,x40012)),f295(f295(f275(f903(x40011)),f120(x40011)),f176(f911(f903(x40011),a897)))),f295(f295(f275(f903(x40011)),f120(x40011)),f176(f911(f903(x40011),a897)))) % 192.26/192.33 [4019]E(f295(f295(f117(f911(f910(x40191,x40191),a897)),f273(x40191,x40192)),f273(x40191,f176(f911(f910(x40191,x40191),a897)))),f273(x40191,x40192)) % 192.26/192.33 [4034]E(f295(f295(f40(a1),f295(f110(a1),f295(f295(f83(a1),x40341),x40341))),f295(f110(a1),f295(f295(f83(a1),x40342),x40342))),f295(f295(f40(a1),f295(f110(a1),x40341)),f295(f110(a1),x40342))) % 192.26/192.33 [4099]E(f295(f295(f218(a1),x40991),f295(f110(a902),f295(f295(f83(a1),x40992),x40992))),f295(f295(f89(a1,a1),f295(f295(f218(a1),x40991),f295(f110(a902),x40992))),f295(f295(f18(a1,a1,a1),f84(a1)),f5(a1)))) % 192.26/192.33 [4105]E(f295(f212(f911(x41051,a897)),f295(f295(f7(f911(x41051,a897),f911(x41051,a897),a897),f207(f911(x41051,a897))),x41052)),f295(f274(x41051),x41052)) % 192.26/192.33 [4120]E(f295(f295(f143(a1,a902),a111),f295(f295(f122(a1),f295(f295(f143(a902,a1),f107(a1)),x41201)),f295(f295(f143(a902,a1),f107(a1)),x41202))),f295(f295(f122(a902),x41201),x41202)) % 192.26/192.33 [4150]E(f295(f276(a1,a1,f295(f295(f7(a1,a1,a1),f83(a1)),x41501)),f295(f268(a1,f2(a1)),f295(f295(f23(a1),x41502),x41501))),f295(f268(a1,x41501),x41502)) % 192.26/192.33 [4152]P59(x41521,f295(f295(f23(f911(f910(x41521,x41521),a897)),x41522),f273(x41521,f176(f911(f910(x41521,x41521),a897))))) % 192.26/192.33 [4169]E(f295(f177(f903(x41691)),f295(f131(f903(x41691),f903(x41691),f122(x41691),f120(x41691)),x41692)),f295(f154(a902),f295(f295(f143(f903(x41691),a902),f177(f903(x41691))),x41692))) % 192.26/192.33 [4173]P58(x41731,f214(f911(x41731,a897)),f295(f295(f117(f911(f910(x41731,x41731),a897)),x41732),f273(x41731,f176(f911(f910(x41731,x41731),a897))))) % 192.26/192.33 [4217]E(f172(a902,f2(a902),f295(f295(f8(a902,a902,a902),a119),f295(f295(f7(a902,a902,a902),f205(a902)),x42171)),x42172),f295(f295(f205(a902),x42172),f295(a119,x42171))) % 192.26/192.33 [4219]E(f172(a902,f295(a119,x42191),f295(f295(f8(a902,a902,a902),a119),f295(f295(f7(a902,a902,a902),f206(a902)),x42191)),x42192),f295(f295(f206(a902),x42192),f295(a119,x42191))) % 192.26/192.33 [4222]E(f295(f276(x42221,f903(x42221),f295(f295(f7(x42221,f903(x42221),f903(x42221)),f140(x42221)),f120(x42221))),x42222),f163(x42221,x42222,f295(f295(f275(f903(x42221)),f120(x42221)),f176(f911(f903(x42221),a897))))) % 192.26/192.33 [4223]E(f295(f295(f117(f911(f910(x42231,x42231),a897)),f295(f295(f255(x42231,x42231,x42231),x42232),f273(x42231,x42232))),f273(x42231,f176(f911(f910(x42231,x42231),a897)))),f273(x42231,x42232)) % 192.26/192.33 [4228]P1(f295(f295(f207(f911(f910(x42281,x42281),a897)),f213(x42281,x42282)),f295(f295(f226(x42281,x42281),x42282),f295(f16(f911(x42281,a897),x42281),x42282)))) % 192.26/192.33 [4231]E(f295(f276(a1,a902,a111),f295(f295(f117(f911(a1,a897)),f295(f276(a902,a1,f107(a1)),x42311)),f295(f276(a902,a1,f107(a1)),x42312))),f295(f295(f117(f911(a902,a897)),x42311),x42312)) % 192.26/192.33 [4232]E(f295(f276(a1,a902,a111),f295(f295(f108(f911(a1,a897)),f295(f276(a902,a1,f107(a1)),x42321)),f295(f276(a902,a1,f107(a1)),x42322))),f295(f295(f108(f911(a902,a897)),x42321),x42322)) % 192.26/192.33 [4234]E(f295(f212(x42341),f295(f295(f8(a897,a897,x42341),a291),f295(f295(f7(x42341,f911(x42341,a897),a897),f297(x42341)),x42342))),f295(f82(f911(x42341,a897)),x42342)) % 192.26/192.33 [4262]E(f295(f131(f903(x42621),f903(x42621),f122(x42621),f120(x42621)),f295(f295(f143(f903(x42621),f903(x42621)),f157(x42621)),f295(f157(f903(x42621)),x42622))),f295(f157(x42621),f295(f131(f903(x42621),f903(x42621),f122(x42621),f120(x42621)),x42622))) % 192.26/192.33 [4289]E(f295(f295(f44(a902,f911(f910(x42891,x42891),a897)),f214(f911(a902,a897))),f295(f295(f7(a902,f911(f910(x42891,x42891),a897),f911(f910(x42891,x42891),a897)),f170(f910(x42891,x42891),a897)),x42892)),f273(x42891,x42892)) % 192.26/192.33 [4306]E(f88(x43061,f295(f295(f8(f911(x43061,a897),a897,x43061),f295(a292,x43062)),f295(f295(f7(x43061,f911(x43061,a897),f911(x43061,a897)),f275(x43061)),f176(f911(x43061,a897))))),f279(x43061,x43062)) % 192.26/192.33 [4313]E(f295(f177(f903(x43131)),f141(x43131,f295(f131(f903(x43131),f903(x43131),f122(x43131),f120(x43131)),x43132))),f295(f39(x43131),f295(f295(f44(f903(x43131),f911(x43131,a897)),f295(f160(f903(x43131)),x43132)),f160(x43131)))) % 192.26/192.33 [4327]E(f295(f295(f117(f911(f910(x43271,x43271),a897)),x43272),f295(f295(f255(x43271,x43271,x43271),f295(f295(f255(x43271,x43271,x43271),x43272),f273(x43271,x43272))),x43272)),f295(f295(f255(x43271,x43271,x43271),x43272),f273(x43271,x43272))) % 192.26/192.33 [4346]P1(f295(f295(f207(f911(f910(x43461,x43461),a897)),f295(f295(f255(x43461,x43461,x43461),x43462),f273(x43461,x43462))),f295(f295(f226(x43461,x43461),f295(f248(x43461),x43462)),f295(f16(f911(x43461,a897),x43461),f295(f248(x43461),x43462))))) % 192.26/192.33 [4388]E(f295(f212(f903(x43881)),f295(f295(f7(f903(x43881),f911(x43881,a897),a897),f295(f295(f8(f911(x43881,a897),f911(f911(x43881,a897),a897),f903(x43881)),f207(f911(x43881,a897))),f160(x43881))),x43882)),f150(x43881,x43882)) % 192.26/192.33 [4398]E(f295(f145(f903(x43981),x43981,f120(x43981),f295(f295(f8(f903(x43981),f911(f903(x43981),f903(x43981)),x43981),f295(f7(f903(x43981),f903(x43981),f903(x43981)),f122(x43981))),f295(f295(f7(x43981,f903(x43981),f903(x43981)),f140(x43981)),f120(x43981)))),x43982),f295(f156(x43981),x43982)) % 192.26/192.33 [4438]P24(f911(x44381,x44382),f911(f910(x44381,x44382),a897),f295(f295(f8(f911(f910(x44381,x44382),a897),f911(f910(x44381,x44382),a897),f911(x44381,x44382)),f212(f910(x44381,x44382))),f295(f295(f8(f911(x44381,f911(x44382,a897)),f911(f910(x44381,x44382),a897),f911(x44381,x44382)),f228(x44381,x44382,a897)),f295(f8(x44382,f911(x44382,a897),x44381),f295(f7(x44382,x44382,a897),a292)))),f214(f911(f911(x44381,x44382),a897))) % 192.26/192.33 [4443]E(f46(a1,f295(f110(a1),f295(f295(f83(a1),x44431),x44431)),f295(f110(a1),f295(f295(f83(a1),x44432),x44432))),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f46(a1,f295(f110(a1),x44431),f295(f110(a1),x44432)))) % 192.26/192.33 [4485]E(f295(f295(f44(x44851,f911(f910(x44851,x44851),a897)),x44852),f295(f295(f7(x44851,f911(f910(x44851,x44851),a897),f911(f910(x44851,x44851),a897)),f295(f295(f8(f910(x44851,x44851),f911(f911(f910(x44851,x44851),a897),f911(f910(x44851,x44851),a897)),x44851),f275(f910(x44851,x44851))),f295(f295(f18(x44851,x44851,f910(x44851,x44851)),f217(x44851,x44851)),f5(x44851)))),f176(f911(f910(x44851,x44851),a897)))),f213(x44851,x44852)) % 192.26/192.33 [4578]E(f295(f212(f911(x45781,a897)),f295(f295(f8(f911(f911(x45781,a897),a897),a897,f911(x45781,a897)),f90(f911(x45781,a897))),f295(f295(f7(f911(x45781,a897),f911(f911(x45781,a897),a897),f911(f911(x45781,a897),a897)),f295(f295(f8(f911(f911(x45781,a897),f911(a897,a897)),f911(f911(f911(x45781,a897),a897),f911(f911(x45781,a897),a897)),f911(x45781,a897)),f18(f911(x45781,a897),a897,a897)),f295(f295(f8(f911(f911(x45781,a897),a897),f911(f911(x45781,a897),f911(a897,a897)),f911(x45781,a897)),f295(f8(a897,f911(a897,a897),f911(x45781,a897)),a293)),f295(f295(f7(f911(x45781,a897),f911(f911(x45781,a897),f911(x45781,a897)),f911(f911(x45781,a897),a897)),f295(f295(f8(f911(f911(x45781,a897),a897),f911(f911(f911(x45781,a897),f911(x45781,a897)),f911(f911(x45781,a897),a897)),f911(x45781,a897)),f8(f911(x45781,a897),a897,f911(x45781,a897))),a292)),f82(f911(x45781,a897)))))),f295(f295(f8(f911(f911(x45781,a897),a897),a897,f911(x45781,a897)),f295(f297(f911(x45781,a897)),x45782)),f274(x45781))))),f295(f274(x45781),f295(f82(f911(x45781,a897)),x45782))) % 192.26/192.33 [4714]~E(f295(f295(f83(a1),x47141),x47141),f295(f295(f23(a1),f295(f295(f83(a1),x47142),x47142)),a104)) % 192.26/192.33 [4718]~P1(f295(f295(f208(a902),f295(f295(f83(a902),x47181),x47182)),x47182)) % 192.26/192.33 [4719]~P1(f295(f295(f208(a902),f295(f295(f83(a902),x47191),x47192)),x47191)) % 192.26/192.33 [3937]E(f295(f295(f23(a902),x39371),f295(f295(f84(a902),f295(f295(f40(a902),x39371),x39372)),x39372)),f46(a902,x39371,x39372)) % 192.26/192.33 [3938]E(f295(f295(f23(a1),x39381),f295(f295(f84(a1),f295(f295(f40(a1),x39381),x39382)),x39382)),f46(a1,x39381,x39382)) % 192.26/192.33 [3973]E(f295(f295(f143(a902,x39731),f295(f153(x39731),x39732)),f128(a902,f295(f268(a902,f2(a902)),f295(f177(f903(x39731)),x39732)))),x39732) % 192.26/192.33 [4030]E(f295(f252(x40301,x40301,f273(x40301,f176(f911(f910(x40301,x40301),a897)))),x40302),x40302) % 192.26/192.33 [4153]E(f273(x41531,f295(f295(f117(f911(f910(x41531,x41531),a897)),x41532),f273(x41531,f176(f911(f910(x41531,x41531),a897))))),f273(x41531,x41532)) % 192.26/192.33 [4154]E(f273(x41541,f295(f295(f23(f911(f910(x41541,x41541),a897)),x41542),f273(x41541,f176(f911(f910(x41541,x41541),a897))))),f273(x41541,x41542)) % 192.26/192.33 [4207]E(f295(f295(f23(a1),f295(f295(f23(a1),f295(f295(f83(a1),x42071),x42071)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),x42072),x42072)),a104)),f295(f295(f83(a1),f295(f295(f23(a1),x42071),x42072)),f295(f295(f23(a1),x42071),x42072))) % 192.26/192.33 [4239]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f83(a1),x42391),x42392)),f295(f295(f83(a1),x42391),x42392))),a104),f295(f295(f83(a1),f295(f295(f83(a1),x42391),x42391)),f295(f295(f23(a1),f295(f295(f83(a1),x42392),x42392)),a104))) % 192.26/192.33 [4265]E(f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),x42651),x42651)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),x42652),x42652)),a104)),f295(f295(f83(a1),f295(f295(f83(a1),x42651),f295(f295(f23(a1),x42652),a104))),f295(f295(f83(a1),x42651),f295(f295(f23(a1),x42652),a104)))) % 192.26/192.33 [4278]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),x42781),x42782)),f295(f295(f23(a1),x42781),x42782))),a104),f295(f295(f23(a1),f295(f295(f23(a1),f295(f295(f83(a1),x42781),x42781)),a104)),f295(f295(f83(a1),x42782),x42782))) % 192.26/192.33 [4279]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f83(a1),x42791),x42792)),f295(f295(f83(a1),x42791),x42792))),a104),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),x42791),x42791)),a104)),f295(f295(f83(a1),x42792),x42792))) % 192.26/192.33 [4324]E(f295(f107(a1),f295(f295(f40(a902),f295(f295(f84(a902),f295(a111,f295(f77(a1),x43241))),f295(a111,f295(f77(a1),x43242)))),f192(f295(a111,f295(f77(a1),x43241)),f295(a111,f295(f77(a1),x43242))))),f194(x43241,x43242)) % 192.26/192.33 [4362]E(f295(f295(f230(f910(a106,a106),a106,f910(a106,a106),f910(x43621,f910(a106,a106))),f234(f295(a3,f295(f177(f903(x43621)),x43622)))),f295(f295(f8(x43621,f911(f910(a106,a106),f910(x43621,f910(a106,a106))),a106),f217(x43621,f910(a106,a106))),f295(f295(f8(a902,x43621,a106),f295(f153(x43621),x43622)),a20))),f246(x43621,x43622)) % 192.26/192.33 [4444]E(f295(f131(a902,f903(x44441),f295(f7(f903(x44441),a902,a902),f295(f295(f8(a902,f911(a902,a902),f903(x44441)),f206(a902)),f177(f903(x44441)))),f2(a902)),f295(f157(f903(x44441)),f166(x44441,x44442))),f295(f177(f903(f903(x44441))),f295(f125(f903(x44441),f295(f295(f8(a897,a897,f903(x44441)),a291),f295(f295(f7(f903(x44441),f903(x44441),a897),a292),f120(x44441)))),x44442))) % 192.26/192.33 [4452]E(f295(f295(f44(a902,f911(x44521,a897)),f214(f911(a902,a897))),f295(f295(f7(a902,f911(a902,f911(x44521,a897)),f911(x44521,a897)),f295(f295(f8(f911(a902,a897),f911(f911(a902,f911(x44521,a897)),f911(x44521,a897)),a902),f44(a902,f911(x44521,a897))),f268(a902,f2(a902)))),x44522)),f295(f295(f44(a902,f911(x44521,a897)),f214(f911(a902,a897))),x44522)) % 192.26/192.33 [4473]P1(f295(f62(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),x44731)),f295(f295(f7(a902,a902,a897),f208(a902)),x44732))))) % 192.26/192.33 [4585]E(f295(f212(f910(f903(x45851),f903(x45851))),f295(f228(f903(x45851),f903(x45851),a897),f295(f295(f18(f903(x45851),f911(f903(x45851),a897),f911(f903(x45851),a897)),f295(f295(f8(f911(f903(x45851),f911(a897,a897)),f911(f911(f903(x45851),a897),f911(f903(x45851),a897)),f903(x45851)),f18(f903(x45851),a897,a897)),f295(f295(f8(f911(f903(x45851),a897),f911(f903(x45851),f911(a897,a897)),f903(x45851)),f295(f8(a897,f911(a897,a897),f903(x45851)),a294)),f295(f295(f7(f903(x45851),f911(f903(x45851),a902),f911(f903(x45851),a897)),f295(f295(f8(f911(a902,a897),f911(f911(f903(x45851),a902),f911(f903(x45851),a897)),f903(x45851)),f8(a902,a897,f903(x45851))),f295(f295(f8(a902,f911(a902,a897),f903(x45851)),f208(a902)),f177(f903(x45851))))),f177(f903(x45851)))))),f295(f295(f18(f903(x45851),f911(f903(x45851),a897),f911(f903(x45851),a897)),f295(f295(f8(f911(f903(x45851),f911(a897,a897)),f911(f911(f903(x45851),a897),f911(f903(x45851),a897)),f903(x45851)),f18(f903(x45851),a897,a897)),f295(f295(f8(f911(f903(x45851),a897),f911(f903(x45851),f911(a897,a897)),f903(x45851)),f295(f8(a897,f911(a897,a897),f903(x45851)),a293)),f295(f295(f7(f903(x45851),f911(f903(x45851),a902),f911(f903(x45851),a897)),f295(f295(f8(f911(a902,a897),f911(f911(f903(x45851),a902),f911(f903(x45851),a897)),f903(x45851)),f8(a902,a897,f903(x45851))),f295(f295(f8(a902,f911(a902,a897),f903(x45851)),a292),f177(f903(x45851))))),f177(f903(x45851)))))),f295(f295(f7(f903(x45851),f911(f910(f903(x45851),f903(x45851)),a897),f911(f903(x45851),a897)),f295(f295(f8(f911(f903(x45851),f911(f911(f910(f903(x45851),f903(x45851)),a897),a897)),f911(f911(f910(f903(x45851),f903(x45851)),a897),f911(f903(x45851),a897)),f903(x45851)),f7(f903(x45851),f911(f910(f903(x45851),f903(x45851)),a897),a897)),f295(f295(f8(f911(f903(x45851),f910(f903(x45851),f903(x45851))),f911(f903(x45851),f911(f911(f910(f903(x45851),f903(x45851)),a897),a897)),f903(x45851)),f295(f8(f910(f903(x45851),f903(x45851)),f911(f911(f910(f903(x45851),f903(x45851)),a897),a897),f903(x45851)),f297(f910(f903(x45851),f903(x45851))))),f217(f903(x45851),f903(x45851))))),f134(x45851,x45852)))))),f135(x45851,x45852)) % 192.26/192.33 [4268]E(f295(f295(f83(a1),f295(f295(f83(a1),f295(f295(f84(a1),x42681),x42682)),f295(f295(f84(a1),x42681),x42682))),x42682),f295(f295(f84(a1),f295(f295(f23(a1),f295(f295(f83(a1),x42681),x42681)),a104)),x42682)) % 192.26/192.33 [4361]E(f295(a111,f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x43611),x43612)),f176(f911(f910(a902,a902),a897)))))),f295(f295(f23(a902),x43611),x43612)) % 192.26/192.33 [4365]E(f295(f295(f255(x43651,x43651,x43651),f295(f295(f117(f911(f910(x43651,x43651),a897)),x43652),f273(x43651,f176(f911(f910(x43651,x43651),a897))))),f273(x43651,f295(f295(f117(f911(f910(x43651,x43651),a897)),x43652),f273(x43651,f176(f911(f910(x43651,x43651),a897)))))),f273(x43651,x43652)) % 192.26/192.33 [4404]E(f233(x44041,f295(f125(f910(a106,x44041),f295(f228(a106,x44041,a897),f295(f295(f8(a897,f911(x44041,a897),a106),f16(a897,x44041)),f295(f208(a106),f2(a106))))),x44042)),f233(x44041,x44042)) % 192.26/192.33 [4405]E(f239(x44051,f295(f125(f910(a106,x44051),f295(f228(a106,x44051,a897),f295(f295(f8(a897,f911(x44051,a897),a106),f16(a897,x44051)),f295(f208(a106),f2(a106))))),x44052)),f239(x44051,x44052)) % 192.26/192.33 [4407]E(f295(f82(a1),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x44071),x44072)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x44072),x44071)),f176(f911(f910(a902,a902),a897)))))) % 192.26/192.33 [4464]E(f295(f295(f254(f903(a902),x44641),f134(a902,a211)),f295(f295(f7(x44641,f903(f911(x44641,a902)),f903(a902)),f295(f295(f8(f911(f911(x44641,a902),a902),f911(f903(f911(x44641,a902)),f903(a902)),x44641),f143(f911(x44641,a902),a902)),f295(f7(f911(x44641,a902),x44641,a902),f5(f911(x44641,a902))))),x44642)),f142(x44641,x44642)) % 192.26/192.33 [4482]E(f295(f295(f89(a1,a902),f295(f110(a1),f295(f295(f83(a1),x44821),a104))),f295(f295(f18(a1,a902,a902),f295(f295(f7(a1,a902,f911(a902,a902)),f295(f295(f8(a897,f911(a902,f911(a902,a902)),a1),f103(a902)),a179)),f2(a902))),f295(f295(f8(a902,a902,a1),a119),f295(f295(f8(a902,a902,a1),f295(f205(a902),x44822)),a111)))),f295(f295(f205(a902),f295(a119,x44822)),f295(f110(a902),x44821))) % 192.26/192.33 [4483]E(f295(f295(f89(a1,a902),f295(f110(a1),f295(f295(f83(a1),x44831),a104))),f295(f295(f18(a1,a902,a902),f295(f295(f7(a1,a902,f911(a902,a902)),f295(f295(f8(a897,f911(a902,f911(a902,a902)),a1),f103(a902)),a179)),f295(a119,x44832))),f295(f295(f8(a902,a902,a1),a119),f295(f295(f8(a902,a902,a1),f295(f206(a902),x44832)),a111)))),f295(f295(f206(a902),f295(a119,x44832)),f295(f110(a902),x44831))) % 192.26/192.33 [4503]E(f295(f131(f903(x45031),f903(x45031),f122(x45031),f120(x45031)),f295(f295(f143(f903(x45031),f903(x45031)),f145(f903(x45031),x45031,f120(x45031),f295(f295(f8(f903(x45031),f911(f903(x45031),f903(x45031)),x45031),f16(f903(x45031),f903(x45031))),f295(f295(f7(x45031,f903(x45031),f903(x45031)),f140(x45031)),f120(x45031))))),x45032)),f295(f295(f143(f903(x45031),x45031),f130(x45031)),f295(f125(f903(x45031),f295(f295(f8(a897,a897,f903(x45031)),a291),f295(f295(f7(f903(x45031),f903(x45031),a897),a292),f120(x45031)))),x45032))) % 192.26/192.33 [4566]E(f295(f228(a1,a1,a897),f295(f295(f7(a1,f911(a1,a897),f911(a1,a897)),f295(f295(f8(f911(a1,f911(a897,a897)),f911(f911(a1,a897),f911(a1,a897)),a1),f18(a1,a897,a897)),f295(f295(f8(f911(a1,a897),f911(a1,f911(a897,a897)),a1),f295(f8(a897,f911(a897,a897),a1),a293)),f295(f295(f8(f911(a1,a1),f911(a1,a897),a1),f295(f8(a1,a897,a1),f295(a292,x45661))),f295(f295(f8(a1,f911(a1,a1),a1),f83(a1)),f295(f84(a1),x45662)))))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),f295(a298,f295(f295(f208(a1),f2(a1)),x45662))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),f295(f295(f7(a1,a1,a897),f208(a1)),x45662))))),f295(f295(f8(a897,a897,a1),f295(a298,f295(a291,f295(f295(f208(a1),f2(a1)),x45662)))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f208(a1),x45662))),f295(f295(f7(a1,a1,a897),f207(a1)),f2(a1))))))),f50(x45661,x45662)) % 192.26/192.33 [4571]E(f295(f212(x45711),f295(f295(f8(f911(a902,a897),a897,x45711),f90(a902)),f295(f295(f7(x45711,f911(a902,a897),f911(a902,a897)),f295(f295(f8(f911(a902,f911(a897,a897)),f911(f911(a902,a897),f911(a902,a897)),x45711),f18(a902,a897,a897)),f295(f295(f8(f911(a902,a897),f911(a902,f911(a897,a897)),x45711),f295(f8(a897,f911(a897,a897),a902),a293)),f295(f295(f7(x45711,f911(a902,x45711),f911(a902,a897)),f295(f295(f8(f911(x45711,a897),f911(f911(a902,x45711),f911(a902,a897)),x45711),f8(x45711,a897,a902)),a292)),f295(f153(x45711),x45712))))),f295(f295(f7(a902,a902,a897),f208(a902)),f295(f177(f903(x45711)),x45712))))),f295(f160(x45711),x45712)) % 192.26/192.33 [4378]E(f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),x43781),a104)),x43782)),f295(f295(f23(a1),f295(f295(f83(a1),x43781),a104)),x43782))),a104),f295(f295(f23(a1),f295(f295(f83(a1),x43781),x43781)),f295(f295(f23(a1),f295(f295(f83(a1),x43782),x43782)),a104))) % 192.26/192.33 [4498]E(f295(f131(f903(f903(x44981)),f903(f903(x44981)),f122(f903(x44981)),f120(f903(x44981))),f295(f295(f143(f903(x44981),f903(f903(x44981))),f145(f903(f903(x44981)),x44981,f120(f903(x44981)),f295(f16(f911(f903(x44981),f903(f903(x44981))),x44981),f295(f295(f7(f903(x44981),f903(f903(x44981)),f903(f903(x44981))),f140(f903(x44981))),f120(f903(x44981)))))),x44982)),f295(f295(f143(f903(x44981),f903(x44981)),f159(x44981)),f295(f125(f903(x44981),f295(f295(f8(a897,a897,f903(x44981)),a291),f295(f295(f7(f903(x44981),f903(x44981),a897),a292),f120(x44981)))),x44982))) % 192.26/192.33 [4508]E(f295(f295(f89(a1,a902),f295(f110(a1),f295(f295(f83(a1),x45081),a104))),f295(f295(f18(a1,a902,a902),f295(f295(f7(a1,a902,f911(a902,a902)),f295(f295(f8(a897,f911(a902,f911(a902,a902)),a1),f103(a902)),a179)),f2(a902))),f295(f295(f8(a902,a902,a1),a119),f295(f295(f7(a1,a902,a902),f295(f295(f8(a902,f911(a902,a902),a1),f205(a902)),a111)),x45082)))),f295(f295(f205(a902),f295(f110(a902),x45081)),f295(a119,x45082))) % 192.26/192.33 [4509]E(f295(f295(f89(a1,a902),f295(f110(a1),f295(f295(f83(a1),x45091),a104))),f295(f295(f18(a1,a902,a902),f295(f295(f7(a1,a902,f911(a902,a902)),f295(f295(f8(a897,f911(a902,f911(a902,a902)),a1),f103(a902)),a179)),f295(a119,x45092))),f295(f295(f8(a902,a902,a1),a119),f295(f295(f7(a1,a902,a902),f295(f295(f8(a902,f911(a902,a902),a1),f206(a902)),a111)),x45092)))),f295(f295(f206(a902),f295(f110(a902),x45091)),f295(a119,x45092))) % 192.26/192.33 [4497]E(f295(f228(x44971,x44971,a897),f295(f295(f18(x44971,a897,f911(x44971,a897)),f295(f295(f8(f911(x44971,f911(a897,a897)),f911(a897,f911(x44971,a897)),x44971),f7(x44971,a897,a897)),f295(f295(f8(f911(x44971,a897),f911(x44971,f911(a897,a897)),x44971),f295(f8(a897,f911(a897,a897),x44971),a293)),a292))),x44972)),f213(x44971,x44972)) % 192.26/192.33 [4542]E(f295(f295(f40(a902),x45421),f295(f295(f83(a902),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),x45422)),f295(f295(f40(a902),x45421),f295(a119,f295(a119,f295(a119,x45422))))) % 192.26/192.33 [4543]E(f46(a902,x45431,f295(f295(f83(a902),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),x45432)),f46(a902,x45431,f295(a119,f295(a119,f295(a119,x45432))))) % 192.26/192.33 [4544]E(f46(a902,f295(f295(f83(a902),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),x45441),x45442),f46(a902,f295(a119,f295(a119,f295(a119,x45441))),x45442)) % 192.26/192.33 [4556]E(f123(f295(x45561,f295(f295(f84(a106),f295(f110(a106),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),x45562))),f295(f186(x45561),x45562)) % 192.26/192.33 [4557]E(f295(f295(f40(a902),f295(f295(f83(a902),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),x45571)),x45572),f295(f295(f40(a902),f295(a119,f295(a119,f295(a119,x45571)))),x45572)) % 192.26/192.33 [4625]~E(f26(x46251),f33(x46252,x46253)) % 192.26/192.33 [4626]~E(f26(x46261),f27(x46262,x46263)) % 192.26/192.33 [4627]~E(f26(x46271),f32(x46272,x46273)) % 192.26/192.33 [4628]~E(f33(x46281,x46282),f26(x46283)) % 192.26/192.33 [4629]~E(f27(x46291,x46292),f26(x46293)) % 192.26/192.33 [4630]~E(f32(x46301,x46302),f26(x46303)) % 192.26/192.33 [4648]~E(f30(x46481,x46482,x46483),a25) % 192.26/192.33 [4649]~E(f28(x46491,x46492,x46493),a25) % 192.26/192.33 [4650]~E(f29(x46501,x46502,x46503),a25) % 192.26/192.33 [3483]E(f295(f295(f143(x34831,x34832),x34833),f120(x34831)),f120(x34832)) % 192.26/192.33 [3503]E(f31(f28(x35031,x35032,x35033)),f2(a902)) % 192.26/192.33 [3524]E(f295(f171(x35241,x35242,x35243),f2(a902)),x35242) % 192.26/192.33 [3525]E(f295(f177(a898),f28(x35251,x35252,x35253)),f2(a902)) % 192.26/192.33 [3527]E(f295(f295(f168(x35271,x35272),x35273),f120(x35272)),f120(f910(x35271,x35272))) % 192.26/192.33 [3560]E(f88(x35601,f63(x35601,x35602,x35603)),f295(f64(x35601,x35602),x35603)) % 192.26/192.33 [3611]E(f129(x36111,x36112,f141(x36111,x36113)),f141(x36111,f129(x36111,x36112,x36113))) % 192.26/192.33 [3628]E(f295(f216(f903(x36281),f903(x36281)),f155(x36281,x36282,x36283)),f295(f125(x36281,x36282),x36283)) % 192.26/192.33 [3701]E(f17(x37011,x37012,x37013,f2(a106)),x37012) % 192.26/192.33 [3702]E(f19(x37021,x37022,x37023,f2(a106)),x37022) % 192.26/192.33 [3703]E(f172(x37031,x37032,x37033,f2(a902)),x37032) % 192.26/192.33 [3710]E(f152(x37101,x37102,x37103,f120(x37101)),f120(x37102)) % 192.26/192.33 [3714]E(f295(f295(f74(x37141,x37142,x37141),x37143),f36(x37141)),x37143) % 192.26/192.33 [3715]E(f295(f295(f153(x37151),f295(f295(f140(x37151),x37152),x37153)),f2(a902)),x37152) % 192.26/192.33 [3743]E(f60(x37431,x37432,f120(x37431),x37433),f120(f910(x37431,x37432))) % 192.26/192.33 [3763]P24(x37631,x37632,x37633,f176(f911(x37631,a897))) % 192.26/192.33 [4089]P1(f295(f295(f297(f910(x40891,x40891)),f295(f295(f217(x40891,x40891),x40892),x40892)),f273(x40891,x40893))) % 192.26/192.33 [4526]P1(f295(f295(f235(x45261,x45262,x45261,x45262,x45263,x45263),f36(x45261)),f36(x45262))) % 192.26/192.33 [4723]~P1(f295(f295(f297(f910(f903(x47231),f903(x47231))),f295(f295(f217(f903(x47231),f903(x47231)),x47232),f120(x47231))),f134(x47231,x47233))) % 192.26/192.33 [4724]~P1(f295(f295(f297(f910(f903(x47241),f903(x47241))),f295(f295(f217(f903(x47241),f903(x47241)),x47242),f120(x47241))),f136(x47241,x47243))) % 192.26/192.33 [4725]~P1(f295(f295(f297(f910(f903(x47251),f903(x47251))),f295(f295(f217(f903(x47251),f903(x47251)),x47252),f120(x47251))),f146(x47251,x47253))) % 192.26/192.33 [4726]~P1(f295(f295(f297(f910(f903(x47261),f903(x47261))),f295(f295(f217(f903(x47261),f903(x47261)),f120(x47261)),x47262)),f134(x47261,x47263))) % 192.26/192.33 [4727]~P1(f295(f295(f297(f910(f903(x47271),f903(x47271))),f295(f295(f217(f903(x47271),f903(x47271)),f120(x47271)),x47272)),f146(x47271,x47273))) % 192.26/192.33 [3457]E(f295(f295(f180(x34571),x34572),x34573),f181(x34571,f191(x34572,x34573))) % 192.26/192.33 [3513]E(f295(f253(x35131,x35132),f295(f253(x35132,x35131),x35133)),x35133) % 192.26/192.33 [3537]E(f295(f295(f168(x35371,x35372),f120(x35371)),x35373),f120(f910(x35371,x35372))) % 192.26/192.33 [3540]E(f162(x35401,x35402,f295(f249(a902),x35403)),f295(f295(f161(x35401),x35403),x35402)) % 192.26/192.33 [3556]E(f141(x35561,f295(f125(x35561,x35562),x35563)),f295(f125(x35561,x35562),f141(x35561,x35563))) % 192.26/192.33 [3558]E(f295(f251(x35581,x35582),f295(f253(x35582,x35581),x35583)),f295(f215(x35582,x35581),x35583)) % 192.26/192.33 [3559]E(f295(f215(x35591,x35592),f295(f253(x35592,x35591),x35593)),f295(f251(x35592,x35591),x35593)) % 192.26/192.33 [3578]E(f295(f125(x35781,x35782),f295(f157(x35781),x35783)),f295(f157(x35781),f295(f125(x35781,x35782),x35783))) % 192.26/192.33 [3590]E(f295(f295(f127(x35901),x35902),f295(f159(x35901),x35903)),f295(f295(f127(x35901),f295(a119,x35902)),x35903)) % 192.26/192.33 [3606]E(f31(f29(x36061,x36062,x36063)),f295(f295(f83(a902),f31(x36063)),f295(a119,f2(a902)))) % 192.26/192.33 [3607]E(f295(f276(x36071,x36072,x36073),f176(f911(x36071,a897))),f176(f911(x36072,a897))) % 192.26/192.33 [3608]E(f295(f252(x36081,x36082,x36083),f176(f911(x36081,a897))),f176(f911(x36082,a897))) % 192.26/192.33 [3609]E(f295(f278(x36091,x36092,x36093),f214(f911(x36092,a897))),f214(f911(x36091,a897))) % 192.26/192.33 [3610]E(f295(f278(x36101,x36102,x36103),f176(f911(x36102,a897))),f176(f911(x36101,a897))) % 192.26/192.33 [3634]E(f295(f295(f275(x36341),x36342),f295(f160(x36341),x36343)),f295(f160(x36341),f129(x36341,x36342,x36343))) % 192.26/192.33 [3719]E(f295(f177(a898),f29(x37191,x37192,x37193)),f295(f295(f83(a902),f295(f177(a898),x37193)),f295(a119,f2(a902)))) % 192.26/192.33 [3720]E(f295(f276(f910(x37201,x37202),x37202,f227(x37201,x37202)),x37203),f295(f251(x37201,x37202),x37203)) % 192.26/192.33 [3721]E(f295(f276(f910(x37211,x37212),x37211,f216(x37211,x37212)),x37213),f295(f215(x37211,x37212),x37213)) % 192.26/192.33 [3723]E(f295(f295(f74(x37231,x37231,x37232),f36(x37231)),x37233),x37233) % 192.26/192.33 [3790]E(f295(f295(f217(x37901,x37902),f295(f216(x37901,x37902),x37903)),f295(f227(x37901,x37902),x37903)),x37903) % 192.26/192.33 [3799]E(f295(f295(f228(x37991,x37992,x37991),f16(x37991,x37992)),x37993),f295(f216(x37991,x37992),x37993)) % 192.26/192.33 [3876]E(f31(f30(x38761,x38762,x38763)),f295(f295(f83(a902),f295(f295(f83(a902),f31(x38762)),f31(x38763))),f295(a119,f2(a902)))) % 192.26/192.33 [4022]P1(f295(f295(f182(f27(x40221,x40222)),x40223),f295(f295(f295(a185,x40223),x40221),f295(x40222,x40223)))) % 192.26/192.33 [4024]E(f295(f177(a898),f30(x40241,x40242,x40243)),f295(f295(f83(a902),f295(f295(f83(a902),f295(f177(a898),x40242)),f295(f177(a898),x40243))),f295(a119,f2(a902)))) % 192.26/192.33 [4100]P1(f295(f295(f207(f911(x41001,a897)),f295(f160(x41001),f295(f125(x41001,x41002),x41003))),f295(f160(x41001),x41003))) % 192.26/192.33 [4140]P1(f295(f295(f207(f911(x41401,a897)),f295(f160(x41401),f295(f295(f161(x41401),x41402),x41403))),f295(f160(x41401),x41403))) % 192.26/192.33 [4141]P1(f295(f295(f207(f911(x41411,a897)),f295(f160(x41411),f295(f295(f127(x41411),x41412),x41413))),f295(f160(x41411),x41413))) % 192.26/192.33 [4144]P1(f295(f295(f207(f911(x41441,a897)),f295(f160(x41441),f162(x41441,x41442,x41443))),f295(f160(x41441),x41442))) % 192.26/192.33 [4145]P1(f295(f295(f207(f911(x41451,a897)),f295(f160(x41451),f158(x41451,x41452,x41453))),f295(f160(x41451),x41453))) % 192.26/192.33 [4166]P24(f910(x41661,x41662),f910(x41662,x41661),f295(f228(x41661,x41662,f910(x41662,x41661)),f295(f7(x41662,x41661,f910(x41662,x41661)),f217(x41662,x41661))),x41663) % 192.26/192.33 [4180]E(f295(f295(f295(f170(f903(x41801),f903(x41801)),f46(a902,x41802,f295(f177(f903(x41801)),x41803))),f156(x41801)),x41803),f295(f295(f295(f170(f903(x41801),f903(x41801)),x41802),f156(x41801)),x41803)) % 192.26/192.33 [4220]P1(f295(f295(f297(f910(f903(x42201),f903(x42201))),f295(f295(f217(f903(x42201),f903(x42201)),x42202),x42202)),f147(x42201,f273(x42201,x42203)))) % 192.26/192.33 [4348]E(f88(f910(x43481,x43482),f295(f295(f18(f910(x43481,x43482),x43482,a897),f295(f295(f8(x43481,f911(x43482,a897),f910(x43481,x43482)),x43483),f216(x43481,x43482))),f227(x43481,x43482))),f88(f910(x43481,x43482),f295(f228(x43481,x43482,a897),x43483))) % 192.26/192.33 [4349]E(f93(f910(x43491,x43492),f295(f295(f18(f910(x43491,x43492),x43492,a897),f295(f295(f8(x43491,f911(x43492,a897),f910(x43491,x43492)),x43493),f216(x43491,x43492))),f227(x43491,x43492))),f93(f910(x43491,x43492),f295(f228(x43491,x43492,a897),x43493))) % 192.26/192.33 [4385]E(f295(f295(f254(f910(a902,x43851),x43851),f288(a902,x43851,a211,x43852)),f295(f295(f18(x43851,x43851,f910(a902,x43851)),f295(f295(f8(a902,f911(x43851,f910(a902,x43851)),x43851),f217(a902,x43851)),x43853)),f5(x43851))),f290(x43851,x43853,x43852)) % 192.26/192.33 [4448]E(f295(f229(x44481,x44481,x44482,x44482,f5(x44481),f5(x44482)),x44483),x44483) % 192.26/192.33 [4517]E(f295(f131(f903(f903(x45171)),f903(f903(x45171)),f122(f903(x45171)),f120(f903(x45171))),f295(f295(f143(f903(x45171),f903(f903(x45171))),f295(f295(f7(f903(x45171),f903(x45171),f903(f903(x45171))),f295(f295(f8(f911(x45171,f903(x45171)),f911(f903(x45171),f903(f903(x45171))),f903(x45171)),f143(x45171,f903(x45171))),f295(f7(x45171,f903(x45171),f903(x45171)),f140(x45171)))),x45172)),f56(x45171,x45173,x45172))),f56(x45171,f295(a119,x45173),x45172)) % 192.26/192.33 [4560]E(f295(f295(f89(a1,x45601),f194(f295(f189(x45601),x45602),f295(f189(x45601),x45603))),f295(f295(f18(a1,a1,x45601),f295(f295(f8(a1,f911(a1,x45601),a1),f180(x45601)),f295(f295(f18(a1,a1,a1),f295(f295(f8(a1,f911(a1,a1),a1),f83(a1)),f295(f295(f8(a1,a1,a1),f295(f84(a1),f295(f196(x45601),x45602))),f295(f295(f7(a1,a1,a1),f40(a1)),f295(f189(x45601),x45602))))),f295(f295(f8(a1,a1,a1),f295(f84(a1),f295(f196(x45601),x45603))),f295(f295(f7(a1,a1,a1),f40(a1)),f295(f189(x45601),x45603)))))),f5(a1))),f201(x45601,x45602,x45603)) % 192.26/192.33 [4643]~E(f295(f295(f140(x46431),x46432),x46433),x46433) % 192.26/192.33 [4652]~E(f295(f295(f140(x46521),x46522),x46523),f120(x46521)) % 192.26/192.33 [4680]~E(f295(f295(f275(x46801),x46802),x46803),f176(f911(x46801,a897))) % 192.26/192.33 [4705]~E(f295(f276(x47051,f911(x47051,a897),x47052),x47053),f295(f274(x47051),x47053)) % 192.26/192.33 [3518]E(f295(f295(f148(x35181,f120(x35181)),x35182),x35183),f120(x35181)) % 192.26/192.33 [3519]E(f295(f130(x35191),f295(f295(f140(x35191),x35192),x35193)),x35192) % 192.26/192.33 [3520]E(f295(f159(x35201),f295(f295(f140(x35201),x35202),x35203)),x35203) % 192.26/192.33 [3563]E(f295(f295(f127(x35631),f81(a902)),f295(f295(f140(x35631),x35632),x35633)),x35633) % 192.26/192.33 [3597]E(f121(x35971,f295(f295(f127(x35971),x35972),x35973)),f295(f295(f127(x35971),x35972),f121(x35971,x35973))) % 192.26/192.33 [3599]E(f295(f295(f148(x35991,x35992),x35993),f295(f295(f153(x35991),x35992),x35993)),x35992) % 192.26/192.33 [3620]E(f295(f295(f275(x36201),x36202),f295(f295(f275(x36201),x36202),x36203)),f295(f295(f275(x36201),x36202),x36203)) % 192.26/192.33 [3631]E(f295(f295(f275(x36311),x36312),f295(f160(x36311),x36313)),f295(f160(x36311),f295(f295(f140(x36311),x36312),x36313))) % 192.26/192.33 [3633]E(f295(f295(f127(x36331),x36332),f295(f159(x36331),x36333)),f295(f159(x36331),f295(f295(f127(x36331),x36332),x36333))) % 192.26/192.33 [3643]E(f295(f295(f161(x36431),f81(a902)),f295(f295(f140(x36431),x36432),x36433)),f295(f295(f140(x36431),x36432),f120(x36431))) % 192.26/192.33 [3686]E(f295(f64(x36861,x36862),f295(f295(f275(x36861),x36863),f176(f911(x36861,a897)))),x36863) % 192.26/192.33 [3727]E(f295(f295(f83(a902),x37271),f295(f295(f83(a902),x37272),x37273)),f295(f295(f83(a902),x37272),f295(f295(f83(a902),x37271),x37273))) % 192.26/192.33 [3728]E(f295(f295(f83(a1),x37281),f295(f295(f83(a1),x37282),x37283)),f295(f295(f83(a1),x37282),f295(f295(f83(a1),x37281),x37283))) % 192.26/192.33 [3733]E(f295(f295(f226(x37331,x37332),f176(f911(x37331,a897))),x37333),f176(f911(f910(x37331,x37332),a897))) % 192.26/192.33 [3755]E(f295(f295(f117(f911(x37551,a897)),x37552),x37553),f295(f295(f117(f911(x37551,a897)),x37553),x37552)) % 192.26/192.33 [3756]E(f295(f295(f108(f911(x37561,a897)),x37562),x37563),f295(f295(f108(f911(x37561,a897)),x37563),x37562)) % 192.26/192.33 [3758]E(f295(f295(f122(x37581),x37582),f295(f295(f140(x37581),x37583),f120(x37581))),f295(f156(x37581),f295(f295(f140(x37581),x37583),x37582))) % 192.26/192.33 [3759]E(f295(f295(f122(x37591),f295(f157(x37591),x37592)),f295(f157(x37591),x37593)),f295(f157(x37591),f295(f295(f122(x37591),x37593),x37592))) % 192.26/192.33 [3767]E(f295(f159(x37671),f295(f295(f161(x37671),f295(a119,x37672)),x37673)),f295(f295(f161(x37671),x37672),f295(f159(x37671),x37673))) % 192.26/192.33 [3774]P1(f295(f295(f297(x37741),x37742),f295(f295(f275(x37741),x37742),x37743))) % 192.26/192.33 [3779]E(f295(f295(f43(x37791,f911(x37792,a897)),f176(f911(x37791,a897))),x37793),f214(f911(x37792,a897))) % 192.26/192.33 [3782]E(f295(f252(x37821,x37821,f213(x37821,x37822)),x37823),f295(f295(f108(f911(x37821,a897)),x37822),x37823)) % 192.26/192.33 [3796]E(f295(f177(f903(x37961)),f295(f295(f140(x37961),x37962),x37963)),f295(f295(f83(a902),f295(f177(f903(x37961)),x37963)),f295(a119,f2(a902)))) % 192.26/192.33 [3801]E(f133(x38011,f295(f295(f122(x38011),x38012),f295(f295(f140(x38011),x38013),f120(x38011)))),x38013) % 192.26/192.33 [3802]E(f121(x38021,f295(f295(f122(x38021),x38022),f295(f295(f140(x38021),x38023),f120(x38021)))),x38022) % 192.26/192.33 [3811]E(f295(f295(f122(x38111),f295(f295(f161(x38111),x38112),x38113)),f295(f295(f127(x38111),x38112),x38113)),x38113) % 192.26/192.33 [3820]E(f295(f295(f23(a902),f295(f295(f83(a902),x38201),x38202)),f295(f295(f83(a902),x38203),x38202)),f295(f295(f23(a902),x38201),x38203)) % 192.26/192.33 [3821]E(f295(f295(f23(a902),f295(f295(f83(a902),x38211),x38212)),f295(f295(f83(a902),x38211),x38213)),f295(f295(f23(a902),x38212),x38213)) % 192.26/192.33 [3826]E(f295(f295(f122(x38261),f295(f157(x38261),x38262)),f295(f295(f140(x38261),x38263),f120(x38261))),f295(f157(x38261),f295(f295(f140(x38261),x38263),x38262))) % 192.26/192.33 [3828]E(f295(f295(f83(a902),f295(f177(f903(x38281)),x38282)),f295(f177(f903(x38281)),x38283)),f295(f177(f903(x38281)),f295(f295(f122(x38281),x38282),x38283))) % 192.26/192.33 [3839]E(f295(f295(f117(f911(x38391,a897)),f295(f160(x38391),x38392)),f295(f160(x38391),x38393)),f295(f160(x38391),f295(f295(f122(x38391),x38392),x38393))) % 192.26/192.33 [3840]E(f46(a902,f295(f295(f84(a902),x38401),x38402),f295(f295(f84(a902),x38401),x38403)),f295(f295(f84(a902),x38401),f46(a902,x38402,x38403))) % 192.26/192.33 [3852]E(f295(f295(f161(x38521),f295(f295(f23(a902),x38522),f81(a902))),f295(f159(x38521),x38523)),f295(f159(x38521),f295(f295(f161(x38521),x38522),x38523))) % 192.26/192.33 [3857]E(f295(f295(f108(f911(x38571,a897)),x38572),f295(f82(f911(x38571,a897)),x38573)),f295(f295(f23(f911(x38571,a897)),x38572),x38573)) % 192.26/192.33 [3858]E(f295(f295(f23(f911(x38581,a897)),x38582),f295(f82(f911(x38581,a897)),x38583)),f295(f295(f108(f911(x38581,a897)),x38582),x38583)) % 192.26/192.33 [3880]E(f295(f295(f226(x38801,x38802),x38803),f295(f16(f911(x38802,a897),x38801),f176(f911(x38802,a897)))),f176(f911(f910(x38801,x38802),a897))) % 192.26/192.33 [3882]E(f295(f295(f84(a1),f295(f295(f218(a1),x38821),x38822)),f295(f295(f218(a1),x38821),x38823)),f295(f295(f218(a1),x38821),f295(f295(f83(a902),x38822),x38823))) % 192.26/192.33 [3883]E(f295(f295(f23(a902),f295(f295(f84(a902),x38831),x38832)),f295(f295(f84(a902),x38831),x38833)),f295(f295(f84(a902),x38831),f295(f295(f23(a902),x38832),x38833))) % 192.26/192.33 [3884]E(f295(f295(f83(a902),f295(f295(f84(a902),x38841),x38842)),f295(f295(f84(a902),x38841),x38843)),f295(f295(f84(a902),x38841),f295(f295(f83(a902),x38842),x38843))) % 192.26/192.33 [3885]E(f295(f295(f23(a1),f295(f295(f84(a1),x38851),x38852)),f295(f295(f84(a1),x38851),x38853)),f295(f295(f84(a1),x38851),f295(f295(f23(a1),x38852),x38853))) % 192.26/192.33 [3886]E(f295(f295(f83(a1),f295(f295(f84(a1),x38861),x38862)),f295(f295(f84(a1),x38861),x38863)),f295(f295(f84(a1),x38861),f295(f295(f83(a1),x38862),x38863))) % 192.26/192.33 [3898]E(f295(f295(f44(x38981,f911(x38982,a897)),x38983),f295(f16(f911(x38982,a897),x38981),f176(f911(x38982,a897)))),f176(f911(x38982,a897))) % 192.26/192.33 [3900]E(f46(a902,f295(f295(f84(a902),x39001),x39002),f295(f295(f84(a902),x39003),x39002)),f295(f295(f84(a902),f46(a902,x39001,x39003)),x39002)) % 192.26/192.33 [3904]E(f46(a1,f295(f295(f23(a1),x39041),f46(a1,x39042,x39043)),x39043),f46(a1,f295(f295(f23(a1),x39041),x39042),x39043)) % 192.26/192.33 [3905]E(f46(a1,f295(f295(f84(a1),x39051),f46(a1,x39052,x39053)),x39053),f46(a1,f295(f295(f84(a1),x39051),x39052),x39053)) % 192.26/192.33 [3906]P1(f295(f295(f207(f911(x39061,a897)),x39062),f295(f295(f275(x39061),x39063),x39062))) % 192.26/192.33 [3956]E(f295(f295(f74(x39561,x39561,x39561),x39562),f295(f295(f170(x39561,x39561),x39563),x39562)),f295(f295(f170(x39561,x39561),f295(a119,x39563)),x39562)) % 192.26/192.33 [3976]E(f295(f295(f43(f911(x39761,a897),f911(x39761,a897)),x39762),f295(f117(f911(x39761,a897)),x39763)),f295(f295(f117(f911(x39761,a897)),x39763),f42(f911(x39761,a897),x39762))) % 192.26/192.33 [3977]E(f295(f295(f44(f911(x39771,a897),f911(x39771,a897)),x39772),f295(f108(f911(x39771,a897)),x39773)),f295(f295(f108(f911(x39771,a897)),x39773),f41(f911(x39771,a897),x39772))) % 192.26/192.33 [3987]E(f295(f160(x39871),f295(f295(f295(f170(f903(x39871),f903(x39871)),x39872),f156(x39871)),x39873)),f295(f160(x39871),x39873)) % 192.26/192.33 [3991]E(f295(f295(f161(x39911),f295(f177(f903(x39911)),f164(x39911,x39912,x39913))),x39913),f164(x39911,x39912,x39913)) % 192.26/192.33 [3995]E(f295(f177(f903(x39951)),f295(f295(f295(f170(f903(x39951),f903(x39951)),x39952),f156(x39951)),x39953)),f295(f177(f903(x39951)),x39953)) % 192.26/192.33 [3998]E(f295(f295(f228(x39981,x39982,x39982),f295(f16(f911(x39982,x39982),x39981),f5(x39982))),x39983),f295(f227(x39981,x39982),x39983)) % 192.26/192.33 [4005]E(f46(a1,f295(f295(f23(a1),f46(a1,x40051,x40052)),x40053),x40052),f46(a1,f295(f295(f23(a1),x40051),x40053),x40052)) % 192.26/192.33 [4006]E(f46(a1,f295(f295(f218(a1),f46(a1,x40061,x40062)),x40063),x40062),f46(a1,f295(f295(f218(a1),x40061),x40063),x40062)) % 192.26/192.33 [4009]E(f295(f295(f44(f911(f910(x40091,x40092),a897),f911(x40092,a897)),x40093),f251(x40091,x40092)),f295(f251(x40091,x40092),f41(f911(f910(x40091,x40092),a897),x40093))) % 192.26/192.33 [4010]E(f295(f295(f44(f911(f910(x40101,x40102),a897),f911(x40101,a897)),x40103),f215(x40101,x40102)),f295(f215(x40101,x40102),f41(f911(f910(x40101,x40102),a897),x40103))) % 192.26/192.33 [4056]E(f295(f295(f127(x40561),f295(f295(f23(a902),f295(f177(f903(x40561)),x40562)),x40563)),f295(f157(x40561),x40562)),f295(f157(x40561),f295(f295(f161(x40561),x40563),x40562))) % 192.26/192.33 [4057]E(f295(f295(f161(x40571),f295(f295(f23(a902),f295(f177(f903(x40571)),x40572)),x40573)),f295(f157(x40571),x40572)),f295(f157(x40571),f295(f295(f127(x40571),x40573),x40572))) % 192.26/192.33 [4059]E(f295(f295(f83(a902),f295(f154(a902),f295(f295(f143(x40591,a902),x40592),x40593))),f295(f177(f903(x40591)),x40593)),f144(x40591,x40592,x40593)) % 192.26/192.33 [4076]E(f295(f156(x40761),f295(f295(f295(f170(f903(x40761),f903(x40761)),x40762),f156(x40761)),x40763)),f295(f295(f295(f170(f903(x40761),f903(x40761)),f295(a119,x40762)),f156(x40761)),x40763)) % 192.26/192.33 [4086]E(f295(f295(f180(x40861),f295(f295(f84(a1),f295(f196(x40861),x40862)),f295(f196(x40861),x40863))),f295(f295(f84(a1),f295(f189(x40861),x40862)),f295(f189(x40861),x40863))),f199(x40861,x40862,x40863)) % 192.26/192.33 [4090]P1(f295(f295(f207(a902),f295(f177(f903(x40901)),f295(f125(x40901,x40902),x40903))),f295(f177(f903(x40901)),x40903))) % 192.26/192.33 [4109]E(f295(f295(f117(f911(f911(x41091,a897),a897)),f295(f274(x41091),x41092)),f295(f276(f911(x41091,a897),f911(x41091,a897),f295(f275(x41091),x41093)),f295(f274(x41091),x41092))),f295(f274(x41091),f295(f295(f275(x41091),x41093),x41092))) % 192.26/192.33 [4137]P1(f295(f295(f207(a902),f295(f177(f903(x41371)),f164(x41371,x41372,x41373))),f295(f177(f903(x41371)),x41373))) % 192.26/192.33 [4143]E(f295(f215(x41431,x41432),f295(f212(f910(x41431,x41432)),f295(f228(x41431,x41432,a897),x41433))),f295(f212(x41431),f295(f295(f8(f911(x41432,a897),a897,x41431),f90(x41432)),x41433))) % 192.26/192.33 [4155]E(f295(f276(a902,a902,f295(f295(f7(a902,a902,a902),f83(a902)),x41551)),f269(a902,x41552,x41553)),f269(a902,f295(f295(f83(a902),x41552),x41551),f295(f295(f83(a902),x41553),x41551))) % 192.26/192.33 [4170]E(f295(f276(a902,a902,f295(f295(f7(a902,a902,a902),f83(a902)),x41701)),f295(f268(a902,x41702),x41703)),f295(f268(a902,f295(f295(f83(a902),x41702),x41701)),f295(f295(f83(a902),x41703),x41701))) % 192.26/192.33 [4191]E(f295(f295(f168(x41911,x41912),f295(f295(f143(f910(x41911,x41912),x41911),f216(x41911,x41912)),x41913)),f295(f295(f143(f910(x41911,x41912),x41912),f227(x41911,x41912)),x41913)),x41913) % 192.26/192.33 [4196]E(f295(f295(f83(a902),f295(f295(f84(a902),x41961),f46(a902,f295(f295(f40(a902),x41962),x41961),x41963))),f46(a902,x41962,x41961)),f46(a902,x41962,f295(f295(f84(a902),x41961),x41963))) % 192.26/192.33 [4208]E(f295(f295(f122(x42081),x42082),f295(f131(f903(x42081),f903(x42081),f122(x42081),f120(x42081)),x42083)),f295(f131(f903(x42081),f903(x42081),f122(x42081),x42082),x42083)) % 192.26/192.33 [4224]P1(f295(f295(f297(f910(x42241,x42241)),f295(f295(f217(x42241,x42241),x42242),x42242)),f295(f295(f170(f910(x42241,x42241),a897),f2(a902)),x42243))) % 192.26/192.33 [4227]E(f295(f212(x42271),f295(f295(f8(f911(x42272,a897),a897,x42271),f90(x42272)),f295(f7(x42272,x42271,a897),x42273))),f295(f251(x42272,x42271),f295(f212(f910(x42272,x42271)),f295(f228(x42272,x42271,a897),x42273)))) % 192.26/192.33 [4243]E(f295(f295(f117(f911(x42431,a897)),f295(f295(f44(a902,f911(x42431,a897)),f269(a902,f81(a902),x42432)),x42433)),f295(x42433,f2(a902))),f295(f295(f44(a902,f911(x42431,a897)),f295(f267(a902),x42432)),x42433)) % 192.26/192.33 [4259]E(f295(f131(f903(x42591),f903(x42591),f122(x42591),f120(x42591)),f295(f295(f143(f903(x42591),f903(x42591)),f125(x42591,x42592)),x42593)),f295(f125(x42591,x42592),f295(f131(f903(x42591),f903(x42591),f122(x42591),f120(x42591)),x42593))) % 192.26/192.33 [4272]P23(x42721,x42722,f295(f295(f275(f901(x42721)),f98(x42721,x42723,a25,x42723)),f176(f911(f901(x42721),a897)))) % 192.26/192.33 [4284]E(f295(f295(f43(x42841,f911(x42842,a897)),f214(f911(x42841,a897))),f295(f295(f8(f911(x42842,a897),f911(x42842,a897),x42841),f212(x42842)),f295(f7(x42842,x42841,a897),x42843))),f295(f212(x42842),f295(f295(f8(f911(x42841,a897),a897,x42842),f91(x42841)),x42843))) % 192.26/192.33 [4308]E(f295(f295(f83(a1),f295(f295(f83(a1),f295(f295(f84(a1),x43081),f295(f295(f40(a1),x43082),x43081))),f46(a1,x43082,x43081))),x43083),f295(f295(f83(a1),x43082),x43083)) % 192.26/192.33 [4340]E(f295(f295(f83(a1),f295(f295(f83(a1),f295(f295(f84(a1),f295(f295(f40(a1),x43401),x43402)),x43402)),f46(a1,x43401,x43402))),x43403),f295(f295(f83(a1),x43401),x43403)) % 192.26/192.33 [4363]E(f88(f910(x43631,x43632),f295(f228(x43631,x43632,a897),f295(f295(f8(f911(x43632,f910(x43631,x43632)),f911(x43632,a897),x43631),f295(f8(f910(x43631,x43632),a897,x43632),x43633)),f217(x43631,x43632)))),f88(f910(x43631,x43632),x43633)) % 192.26/192.33 [4364]E(f93(f910(x43641,x43642),f295(f228(x43641,x43642,a897),f295(f295(f8(f911(x43642,f910(x43641,x43642)),f911(x43642,a897),x43641),f295(f8(f910(x43641,x43642),a897,x43642),x43643)),f217(x43641,x43642)))),f93(f910(x43641,x43642),x43643)) % 192.26/192.33 [4393]P1(f295(f295(f207(f911(x43931,a897)),f41(f911(x43931,a897),f295(f295(f108(f911(f911(x43931,a897),a897)),x43932),x43933))),f295(f295(f108(f911(x43931,a897)),f41(f911(x43931,a897),x43932)),f41(f911(x43931,a897),x43933)))) % 192.26/192.33 [4394]E(f295(f157(x43941),f295(f295(f295(f170(f903(x43941),f903(x43941)),f295(f295(f23(a902),f295(f177(f903(x43941)),x43942)),f46(a902,x43943,f295(f177(f903(x43941)),x43942)))),f156(x43941)),x43942)),f295(f295(f295(f170(f903(x43941),f903(x43941)),x43943),f156(x43941)),f295(f157(x43941),x43942))) % 192.26/192.33 [4431]P1(f295(f295(f207(a902),f295(f177(f903(x44311)),f295(f295(f127(x44311),f295(f177(f903(x44311)),f164(x44311,x44312,x44313))),x44313))),f295(f177(f903(x44311)),x44313))) % 192.26/192.33 [4717]~P1(f295(f63(x47171,x47172,f176(f911(x47171,a897))),x47173)) % 192.26/192.33 [4722]~P1(f295(f295(f297(f910(x47221,x47221)),f295(f295(f217(x47221,x47221),x47222),x47223)),f142(x47221,f120(f911(x47221,a902))))) % 192.26/192.33 [3768]E(f295(f177(f903(x37681)),f295(f295(f161(x37681),x37682),x37683)),f295(f295(f205(a902),f295(f177(f903(x37681)),x37683)),x37682)) % 192.26/192.33 [3769]E(f295(f177(f903(x37691)),f295(f295(f127(x37691),x37692),x37693)),f295(f295(f23(a902),f295(f177(f903(x37691)),x37693)),x37692)) % 192.26/192.33 [3795]E(f295(f177(f903(f903(x37951))),f56(x37951,x37952,x37953)),f295(f295(f218(a902),f295(f177(f903(x37951)),x37953)),x37952)) % 192.26/192.33 [3813]E(f295(f295(f40(a902),f295(f295(f40(a902),x38131),x38132)),x38133),f295(f295(f40(a902),x38131),f295(f295(f84(a902),x38132),x38133))) % 192.26/192.33 [3814]E(f295(f295(f23(a902),f295(f295(f23(a902),x38141),x38142)),x38143),f295(f295(f23(a902),x38141),f295(f295(f83(a902),x38142),x38143))) % 192.26/192.33 [3815]E(f295(f295(f83(a902),f295(f295(f83(a902),x38151),x38152)),x38153),f295(f295(f83(a902),x38151),f295(f295(f83(a902),x38152),x38153))) % 192.26/192.33 [3816]E(f295(f295(f83(a1),f295(f295(f83(a1),x38161),x38162)),x38163),f295(f295(f83(a1),x38161),f295(f295(f83(a1),x38162),x38163))) % 192.26/192.33 [3817]E(f295(f295(f218(a1),f295(f295(f218(a1),x38171),x38172)),x38173),f295(f295(f218(a1),x38171),f295(f295(f84(a902),x38172),x38173))) % 192.26/192.33 [3818]E(f295(f295(f84(a902),f295(f295(f84(a902),x38181),x38182)),x38183),f295(f295(f84(a902),x38181),f295(f295(f84(a902),x38182),x38183))) % 192.26/192.33 [3819]E(f295(f295(f84(a1),f295(f295(f84(a1),x38191),x38192)),x38193),f295(f295(f84(a1),x38191),f295(f295(f84(a1),x38192),x38193))) % 192.26/192.33 [3838]E(f151(x38381,f295(f295(f140(f911(x38381,a897)),x38382),x38383)),f163(x38381,x38382,f151(x38381,x38383))) % 192.26/192.33 [3881]E(f295(f295(f23(a902),f295(f295(f23(a902),x38811),x38812)),x38813),f295(f295(f23(a902),f295(f295(f23(a902),x38811),x38813)),x38812)) % 192.26/192.33 [3889]E(f295(f295(f108(f911(x38891,a897)),x38892),f295(f295(f23(f911(x38891,a897)),x38893),x38892)),f176(f911(x38891,a897))) % 192.26/192.33 [3923]E(f42(f911(x39231,a897),f295(f295(f275(f911(x39231,a897)),x39232),x39233)),f295(f295(f108(f911(x39231,a897)),x39232),f42(f911(x39231,a897),x39233))) % 192.26/192.33 [3924]E(f41(f911(x39241,a897),f295(f295(f275(f911(x39241,a897)),x39242),x39243)),f295(f295(f117(f911(x39241,a897)),x39242),f41(f911(x39241,a897),x39243))) % 192.26/192.33 [3926]E(f295(f295(f23(a902),f295(f295(f84(a902),x39261),x39262)),f295(f295(f84(a902),x39263),x39262)),f295(f295(f84(a902),f295(f295(f23(a902),x39261),x39263)),x39262)) % 192.26/192.33 [3927]E(f295(f295(f83(a902),f295(f295(f84(a902),x39271),x39272)),f295(f295(f84(a902),x39273),x39272)),f295(f295(f84(a902),f295(f295(f83(a902),x39271),x39273)),x39272)) % 192.26/192.33 [3928]E(f295(f295(f23(a1),f295(f295(f84(a1),x39281),x39282)),f295(f295(f84(a1),x39283),x39282)),f295(f295(f84(a1),f295(f295(f23(a1),x39281),x39283)),x39282)) % 192.26/192.33 [3929]E(f295(f295(f83(a1),f295(f295(f84(a1),x39291),x39292)),f295(f295(f84(a1),x39293),x39292)),f295(f295(f84(a1),f295(f295(f83(a1),x39291),x39293)),x39292)) % 192.26/192.33 [3931]E(f295(f295(f205(a902),f295(f295(f23(a902),x39311),x39312)),f295(f295(f23(a902),x39313),x39312)),f295(f295(f23(a902),f295(f295(f205(a902),x39311),x39313)),x39312)) % 192.26/192.33 [3953]E(f295(f295(f108(f911(f903(x39531),a897)),f149(x39531,x39532)),f149(x39531,x39533)),f149(x39531,f295(f295(f108(f911(x39531,a897)),x39532),x39533))) % 192.26/192.33 [3957]E(f295(f295(f117(f911(x39571,a897)),x39572),f295(f295(f117(f911(x39571,a897)),x39572),x39573)),f295(f295(f117(f911(x39571,a897)),x39572),x39573)) % 192.26/192.33 [3958]E(f295(f295(f117(f911(x39581,a897)),x39582),f295(f295(f23(f911(x39581,a897)),x39583),x39582)),f295(f295(f117(f911(x39581,a897)),x39582),x39583)) % 192.26/192.33 [3959]E(f295(f295(f108(f911(x39591,a897)),x39592),f295(f295(f108(f911(x39591,a897)),x39592),x39593)),f295(f295(f108(f911(x39591,a897)),x39592),x39593)) % 192.26/192.33 [3971]E(f295(f295(f255(x39711,x39712,x39712),x39713),f273(x39712,f176(f911(f910(x39712,x39712),a897)))),x39713) % 192.26/192.33 [3974]E(f295(f295(f117(f911(x39741,a897)),f295(f295(f275(x39741),x39742),f176(f911(x39741,a897)))),x39743),f295(f295(f275(x39741),x39742),x39743)) % 192.26/192.33 [3990]E(f295(f295(f23(a902),f295(f295(f23(a902),f295(a119,x39901)),x39902)),f295(a119,x39903)),f295(f295(f23(a902),f295(f295(f23(a902),x39901),x39902)),x39903)) % 192.26/192.33 [4017]E(f295(f295(f108(f911(f911(x40171,a897),a897)),f295(f274(x40171),x40172)),f295(f274(x40171),x40173)),f295(f274(x40171),f295(f295(f108(f911(x40171,a897)),x40172),x40173))) % 192.26/192.33 [4020]E(f295(f295(f117(f911(x40201,a897)),f295(f82(f911(x40201,a897)),x40202)),x40203),f295(f82(f911(x40201,a897)),f295(f295(f23(f911(x40201,a897)),x40202),x40203))) % 192.26/192.33 [4032]E(f295(f295(f275(x40321),x40322),f295(f295(f23(f911(x40321,a897)),x40323),f295(f295(f275(x40321),x40322),f176(f911(x40321,a897))))),f295(f295(f275(x40321),x40322),x40323)) % 192.26/192.33 [4045]P1(f295(f295(f207(f911(x40451,a897)),x40452),f295(f295(f117(f911(x40451,a897)),x40453),x40452))) % 192.26/192.33 [4046]P1(f295(f295(f207(f911(x40461,a897)),x40462),f295(f295(f117(f911(x40461,a897)),x40462),x40463))) % 192.26/192.33 [4050]E(f295(f295(f108(f911(x40501,a897)),f295(f82(f911(x40501,a897)),x40502)),f295(f82(f911(x40501,a897)),x40503)),f295(f82(f911(x40501,a897)),f295(f295(f117(f911(x40501,a897)),x40502),x40503))) % 192.26/192.33 [4051]E(f295(f295(f117(f911(x40511,a897)),f295(f82(f911(x40511,a897)),x40512)),f295(f82(f911(x40511,a897)),x40513)),f295(f82(f911(x40511,a897)),f295(f295(f108(f911(x40511,a897)),x40512),x40513))) % 192.26/192.33 [4063]P1(f295(f295(f207(f911(x40631,a897)),f295(f160(x40631),x40632)),f295(f160(x40631),f295(f295(f140(x40631),x40633),x40632)))) % 192.26/192.33 [4074]E(f295(f295(f117(f911(x40741,a897)),f295(f295(f23(f911(x40741,a897)),x40742),x40743)),f295(f295(f108(f911(x40741,a897)),x40742),x40743)),x40742) % 192.26/192.33 [4107]E(f295(f227(f903(x41071),f903(x41071)),f155(x41071,x41072,x41073)),f295(f125(x41071,f295(f295(f74(a897,a897,x41071),a291),x41072)),x41073)) % 192.26/192.33 [4126]E(f295(f295(f6(x41261,a1),f295(f295(f8(a902,a1,x41261),f107(a1)),x41262)),x41263),f295(f107(a1),f295(f295(f6(x41261,a902),x41262),x41263))) % 192.26/192.33 [4127]E(f295(f295(f9(x41271,a1),f295(f295(f8(a902,a1,x41271),f107(a1)),x41272)),x41273),f295(f107(a1),f295(f295(f9(x41271,a902),x41272),x41273))) % 192.26/192.33 [4172]E(f295(f295(f122(x41721),f164(x41721,x41722,x41723)),f295(f295(f127(x41721),f295(f177(f903(x41721)),f164(x41721,x41722,x41723))),x41723)),x41723) % 192.26/192.33 [4178]E(f295(f82(f911(f910(x41781,x41782),a897)),f295(f295(f226(x41781,x41782),x41783),f295(f16(f911(x41782,a897),x41781),f214(f911(x41782,a897))))),f295(f295(f226(x41781,x41782),f295(f82(f911(x41781,a897)),x41783)),f295(f16(f911(x41782,a897),x41781),f214(f911(x41782,a897))))) % 192.26/192.33 [4179]E(f295(f82(f911(f910(x41791,x41792),a897)),f295(f295(f226(x41791,x41792),f214(f911(x41791,a897))),f295(f16(f911(x41792,a897),x41791),x41793))),f295(f295(f226(x41791,x41792),f214(f911(x41791,a897))),f295(f16(f911(x41792,a897),x41791),f295(f82(f911(x41792,a897)),x41793)))) % 192.26/192.33 [4225]E(f295(f295(f44(f911(x42251,a897),f911(x42251,a897)),x42252),f295(f295(f7(f911(x42251,a897),f911(x42251,a897),f911(x42251,a897)),f108(f911(x42251,a897))),x42253)),f295(f295(f108(f911(x42251,a897)),f41(f911(x42251,a897),x42252)),x42253)) % 192.26/192.33 [4229]E(f295(f131(f903(x42291),f903(x42291),f122(x42291),f120(x42291)),f295(f295(f140(f903(x42291)),x42292),x42293)),f295(f295(f122(x42291),x42292),f295(f131(f903(x42291),f903(x42291),f122(x42291),f120(x42291)),x42293))) % 192.26/192.33 [4250]E(f295(f295(f275(f911(x42501,a897)),f295(f252(x42501,x42501,x42502),f295(f295(f275(x42501),x42503),f176(f911(x42501,a897))))),f176(f911(f911(x42501,a897),a897))),f295(f295(f61(x42501),f295(f295(f275(x42501),x42503),f176(f911(x42501,a897)))),x42502)) % 192.26/192.33 [4260]E(f295(f295(f83(a902),f295(f295(f84(a902),x42601),f295(f295(f40(a902),x42602),x42603))),f295(f295(f40(a902),f295(f295(f84(a902),x42601),f46(a902,x42602,x42603))),x42603)),f295(f295(f40(a902),f295(f295(f84(a902),x42601),x42602)),x42603)) % 192.26/192.33 [4261]E(f295(f295(f83(a1),f295(f295(f84(a1),x42611),f295(f295(f40(a1),x42612),x42613))),f295(f295(f40(a1),f295(f295(f84(a1),x42611),f46(a1,x42612,x42613))),x42613)),f295(f295(f40(a1),f295(f295(f84(a1),x42611),x42612)),x42613)) % 192.26/192.33 [4293]E(f295(f295(f23(f911(x42931,a897)),f295(f160(x42931),x42932)),f295(f295(f275(x42931),x42933),f176(f911(x42931,a897)))),f295(f160(x42931),f295(f125(x42931,f295(f295(f8(a897,a897,x42931),a291),f295(a292,x42933))),x42932))) % 192.26/192.33 [4338]E(f295(f295(f122(x43381),f295(f131(f903(x43381),f903(x43381),f122(x43381),f120(x43381)),x43382)),f295(f131(f903(x43381),f903(x43381),f122(x43381),f120(x43381)),x43383)),f295(f131(f903(x43381),f903(x43381),f122(x43381),f120(x43381)),f295(f295(f122(f903(x43381)),x43382),x43383))) % 192.26/192.33 [4343]E(f295(f295(f83(a902),f295(f295(f83(a902),f295(f295(f40(a902),x43431),x43432)),f295(f295(f40(a902),x43433),x43432))),f295(f295(f40(a902),f295(f295(f83(a902),f46(a902,x43431,x43432)),f46(a902,x43433,x43432))),x43432)),f295(f295(f40(a902),f295(f295(f83(a902),x43431),x43433)),x43432)) % 192.26/192.33 [4344]E(f295(f295(f83(a1),f295(f295(f83(a1),f295(f295(f40(a1),x43441),x43442)),f295(f295(f40(a1),x43443),x43442))),f295(f295(f40(a1),f295(f295(f83(a1),f46(a1,x43441,x43442)),f46(a1,x43443,x43442))),x43442)),f295(f295(f40(a1),f295(f295(f83(a1),x43441),x43443)),x43442)) % 192.26/192.33 [4397]E(f295(f295(f108(f911(f903(x43971),a897)),f295(f295(f7(f903(x43971),f911(f903(x43971),a897),a897),f297(f903(x43971))),f150(x43971,x43972))),f295(f295(f7(f903(x43971),f911(f903(x43971),a897),a897),f297(f903(x43971))),f150(x43971,x43973))),f149(x43971,f295(f295(f108(f911(x43971,a897)),f295(f295(f7(x43971,f911(x43971,a897),a897),f297(x43971)),x43972)),f295(f295(f7(x43971,f911(x43971,a897),a897),f297(x43971)),x43973)))) % 192.26/192.33 [4409]E(f295(f212(x44091),f295(f295(f18(x44091,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44091),a294),f295(f295(f7(x44091,x44091,a897),a292),x44092))),f295(f295(f7(x44091,f911(x44091,a897),a897),f297(x44091)),x44093))),f295(f295(f275(x44091),x44092),x44093)) % 192.26/192.33 [4429]E(f295(f295(f89(f903(f903(x44291)),f903(f903(x44291))),f55(x44291,x44292)),f295(f295(f18(f903(f903(x44291)),f903(f903(x44291)),f903(f903(x44291))),f295(f295(f8(f903(f903(x44291)),f911(f903(f903(x44291)),f903(f903(x44291))),f903(f903(x44291))),f122(f903(x44291))),f295(f143(f903(x44291),f903(x44291)),f295(f140(x44291),x44293)))),f5(f903(f903(x44291))))),f55(x44291,f295(f295(f140(x44291),x44293),x44292))) % 192.26/192.33 [4432]E(f295(f212(x44321),f295(f295(f18(x44321,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44321),a294),f295(f295(f7(x44321,f911(x44321,a897),a897),f297(x44321)),x44322))),f295(f295(f7(x44321,f911(x44321,a897),a897),f297(x44321)),x44323))),f295(f295(f117(f911(x44321,a897)),x44322),x44323)) % 192.26/192.33 [4433]E(f295(f212(x44331),f295(f295(f18(x44331,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44331),a293),f295(f295(f7(x44331,f911(x44331,a897),a897),f297(x44331)),x44332))),f295(f295(f7(x44331,f911(x44331,a897),a897),f297(x44331)),x44333))),f295(f295(f108(f911(x44331,a897)),x44332),x44333)) % 192.26/192.33 [4520]E(f295(f295(f44(x45201,f911(f911(x45201,a897),a897)),x45202),f295(f295(f7(x45201,f911(f911(x45201,a897),a897),f911(f911(x45201,a897),a897)),f295(f295(f8(f911(x45201,a897),f911(f911(f911(x45201,a897),a897),f911(f911(x45201,a897),a897)),x45201),f275(f911(x45201,a897))),f295(f295(f8(f911(x45201,a897),f911(x45201,a897),x45201),f252(x45201,x45201,x45203)),f295(f295(f7(x45201,f911(x45201,a897),f911(x45201,a897)),f275(x45201)),f176(f911(x45201,a897)))))),f176(f911(f911(x45201,a897),a897)))),f295(f295(f61(x45201),x45202),x45203)) % 192.26/192.33 [4525]E(f295(f212(f903(x45251)),f295(f295(f18(f903(x45251),a897,a897),f295(f295(f8(a897,f911(a897,a897),f903(x45251)),a293),f295(f295(f7(f903(x45251),a902,a897),f295(f295(f8(a902,f911(a902,a897),f903(x45251)),a292),f177(f903(x45251)))),x45252))),f295(f295(f7(f903(x45251),f911(x45251,a897),a897),f295(f295(f8(f911(x45251,a897),f911(f911(x45251,a897),a897),f903(x45251)),f207(f911(x45251,a897))),f160(x45251))),f295(f160(x45251),x45253)))),f295(f160(f903(x45251)),f56(x45251,x45252,x45253))) % 192.26/192.33 [3945]E(f46(a902,f295(f295(f83(a902),f295(f295(f84(a902),x39451),x39452)),x39453),x39452),f46(a902,x39453,x39452)) % 192.26/192.33 [3989]E(f128(a902,f295(f268(a902,f295(f295(f83(a902),x39891),x39892)),x39893)),f295(f295(f127(a902),x39892),f128(a902,f295(f268(a902,x39891),x39893)))) % 192.26/192.33 [4031]E(f295(f295(f83(a1),f295(f107(a1),x40311)),f295(f295(f83(a1),f295(f107(a1),x40312)),x40313)),f295(f295(f83(a1),f295(f107(a1),f295(f295(f83(a902),x40311),x40312))),x40313)) % 192.26/192.33 [4041]E(f295(f295(f117(f911(x40411,a897)),f295(f295(f23(f911(x40411,a897)),x40412),x40413)),x40413),f295(f295(f117(f911(x40411,a897)),x40412),x40413)) % 192.26/192.33 [4042]E(f295(f295(f23(f911(x40421,a897)),f295(f295(f23(f911(x40421,a897)),x40422),x40423)),x40423),f295(f295(f23(f911(x40421,a897)),x40422),x40423)) % 192.26/192.33 [4064]E(f295(f295(f255(x40641,x40641,x40642),f273(x40641,f176(f911(f910(x40641,x40641),a897)))),x40643),x40643) % 192.26/192.33 [4071]E(f295(f295(f117(f911(x40711,a897)),f295(f248(x40711),x40712)),f295(f248(x40711),x40713)),f295(f248(x40711),f295(f295(f117(f911(f910(x40711,x40711),a897)),x40712),x40713))) % 192.26/192.33 [4081]E(f233(x40811,f295(f295(f140(f910(a106,x40811)),f295(f295(f217(a106,x40811),f2(a106)),x40812)),x40813)),f233(x40811,x40813)) % 192.26/192.33 [4083]E(f295(f295(f108(f911(x40831,a897)),f42(f911(x40831,a897),x40832)),f42(f911(x40831,a897),x40833)),f42(f911(x40831,a897),f295(f295(f117(f911(f911(x40831,a897),a897)),x40832),x40833))) % 192.26/192.33 [4084]E(f295(f295(f117(f911(x40841,a897)),f41(f911(x40841,a897),x40842)),f41(f911(x40841,a897),x40843)),f41(f911(x40841,a897),f295(f295(f117(f911(f911(x40841,a897),a897)),x40842),x40843))) % 192.26/192.33 [4122]E(f295(f295(f255(x41221,x41221,x41221),f295(f295(f170(f910(x41221,x41221),a897),x41222),x41223)),x41223),f295(f295(f170(f910(x41221,x41221),a897),f295(a119,x41222)),x41223)) % 192.26/192.33 [4163]P1(f295(f295(f207(f911(x41631,a897)),f295(f295(f108(f911(x41631,a897)),x41632),x41633)),x41633)) % 192.26/192.33 [4164]P1(f295(f295(f207(f911(x41641,a897)),f295(f295(f108(f911(x41641,a897)),x41642),x41643)),x41642)) % 192.26/192.33 [4165]P1(f295(f295(f207(f911(x41651,a897)),f295(f295(f23(f911(x41651,a897)),x41652),x41653)),x41652)) % 192.26/192.33 [4193]E(f273(x41931,f295(f295(f117(f911(f910(x41931,x41931),a897)),f273(x41931,x41932)),f273(x41931,x41933))),f273(x41931,f295(f295(f117(f911(f910(x41931,x41931),a897)),x41932),x41933))) % 192.26/192.33 [4197]E(f41(f911(x41971,a897),f295(f295(f275(f911(x41971,a897)),x41972),f295(f295(f275(f911(x41971,a897)),x41973),f176(f911(f911(x41971,a897),a897))))),f295(f295(f117(f911(x41971,a897)),x41972),x41973)) % 192.26/192.33 [4198]E(f42(f911(x41981,a897),f295(f295(f275(f911(x41981,a897)),x41982),f295(f295(f275(f911(x41981,a897)),x41983),f176(f911(f911(x41981,a897),a897))))),f295(f295(f108(f911(x41981,a897)),x41982),x41983)) % 192.26/192.33 [4202]E(f295(f295(f255(x42021,x42021,x42021),f295(f295(f170(f910(x42021,x42021),a897),x42022),x42023)),x42023),f295(f295(f255(x42021,x42021,x42021),x42023),f295(f295(f170(f910(x42021,x42021),a897),x42022),x42023))) % 192.26/192.33 [4264]E(f295(f295(f117(f911(x42641,a897)),f295(f212(x42641),f295(f295(f7(x42641,x42641,a897),a292),x42642))),x42643),f295(f295(f275(x42641),x42642),x42643)) % 192.26/192.33 [4266]E(f295(a111,f295(f295(f6(x42661,a1),f295(f295(f8(a902,a1,x42661),f107(a1)),x42662)),x42663)),f295(f295(f6(x42661,a902),x42662),x42663)) % 192.26/192.33 [4267]E(f295(a111,f295(f295(f9(x42671,a1),f295(f295(f8(a902,a1,x42671),f107(a1)),x42672)),x42673)),f295(f295(f9(x42671,a902),x42672),x42673)) % 192.26/192.33 [4273]E(f295(f295(f217(f903(x42731),f903(x42731)),f295(f125(x42731,x42732),x42733)),f295(f125(x42731,f295(f295(f74(a897,a897,x42731),a291),x42732)),x42733)),f155(x42731,x42732,x42733)) % 192.26/192.33 [4336]E(f295(f145(f903(x43361),x43361,f295(f159(x43361),x43362),f295(f16(f911(f903(x43361),f903(x43361)),x43361),f295(f295(f7(f903(x43361),f903(x43361),f903(x43361)),f122(x43361)),x43362))),x43363),f295(f159(x43361),f295(f295(f122(x43361),x43363),x43362))) % 192.26/192.33 [4360]P1(f295(f295(f207(f911(f911(x43601,a897),a897)),f295(f295(f117(f911(f911(x43601,a897),a897)),f295(f274(x43601),x43602)),f295(f274(x43601),x43603))),f295(f274(x43601),f295(f295(f117(f911(x43601,a897)),x43602),x43603)))) % 192.26/192.33 [4453]E(f295(f212(x44531),f295(f295(f18(x44531,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44531),a293),f295(f295(f7(x44531,f911(x44531,a897),a897),f297(x44531)),x44532))),f295(f295(f8(a897,a897,x44531),a291),f295(f295(f7(x44531,f911(x44531,a897),a897),f297(x44531)),x44533)))),f295(f295(f23(f911(x44531,a897)),x44532),x44533)) % 192.26/192.33 [4474]E(f295(f39(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,a902,a897),f208(a902)),f295(f177(f903(x44741)),x44742)))),f295(f295(f8(x44741,a897,a902),x44743),f295(f153(x44741),x44742))))),f295(f177(f903(x44741)),f295(f125(x44741,x44743),x44742))) % 192.26/192.33 [4476]E(f295(f177(f903(x44761)),f162(x44761,x44762,x44763)),f295(f39(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,a902,a897),f208(a902)),f295(f177(f903(x44761)),x44762)))),f295(f295(f7(a902,f911(a902,a897),a897),f297(a902)),x44763))))) % 192.26/192.33 [4574]E(f295(f295(f108(f911(f910(f903(x45741),f903(x45741)),a897)),f295(f276(f910(f910(x45741,f903(x45741)),f910(x45741,f903(x45741))),f910(f903(x45741),f903(x45741)),f229(f910(x45741,f903(x45741)),f903(x45741),f910(x45741,f903(x45741)),f903(x45741),f295(f228(x45741,f903(x45741),f903(x45741)),f140(x45741)),f295(f228(x45741,f903(x45741),f903(x45741)),f140(x45741)))),f288(x45741,f903(x45741),x45742,f295(f132(x45741,x45742),x45743)))),f295(f212(f910(f903(x45741),f903(x45741))),f295(f228(f903(x45741),f903(x45741),a897),f295(f295(f7(f903(x45741),f911(f903(x45741),a897),f911(f903(x45741),a897)),f295(f295(f8(f911(a897,a897),f911(f911(f903(x45741),a897),f911(f903(x45741),a897)),f903(x45741)),f8(a897,a897,f903(x45741))),f295(f295(f8(a897,f911(a897,a897),f903(x45741)),a293),f295(f295(f7(f903(x45741),a902,a897),f295(f295(f8(a902,f911(a902,a897),f903(x45741)),a292),f177(f903(x45741)))),f295(a119,x45743))))),f295(f295(f7(f903(x45741),a902,a897),f295(f295(f8(a902,f911(a902,a897),f903(x45741)),a292),f177(f903(x45741)))),f295(a119,x45743)))))),f295(f132(x45741,x45742),f295(a119,x45743))) % 192.26/192.33 [4085]E(f46(a902,f295(a119,f295(f295(f83(a902),f295(f295(f84(a902),x40851),x40852)),x40853)),x40852),f46(a902,f295(a119,x40853),x40852)) % 192.26/192.33 [4325]E(f295(f212(x43251),f295(f295(f18(x43251,a897,a897),f295(f295(f8(a897,f911(a897,a897),x43251),a293),x43252)),x43253)),f295(f295(f108(f911(x43251,a897)),f295(f212(x43251),x43252)),f295(f212(x43251),x43253))) % 192.26/192.33 [4326]E(f295(f212(x43261),f295(f295(f18(x43261,a897,a897),f295(f295(f8(a897,f911(a897,a897),x43261),a294),x43262)),x43263)),f295(f295(f117(f911(x43261,a897)),f295(f212(x43261),x43262)),f295(f212(x43261),x43263))) % 192.26/192.33 [4328]E(f295(f295(f122(x43281),f295(f295(f127(x43281),f46(a902,x43282,f295(f177(f903(x43281)),x43283))),x43283)),f295(f295(f161(x43281),f46(a902,x43282,f295(f177(f903(x43281)),x43283))),x43283)),f295(f295(f295(f170(f903(x43281),f903(x43281)),x43282),f156(x43281)),x43283)) % 192.26/192.33 [4334]E(f295(f212(x43341),f295(f295(f18(x43341,a897,a897),f295(f295(f8(a897,f911(a897,a897),x43341),a298),x43342)),x43343)),f295(f295(f117(f911(x43341,a897)),f295(f82(f911(x43341,a897)),f295(f212(x43341),x43342))),f295(f212(x43341),x43343))) % 192.26/192.33 [4345]E(f295(f295(f83(a902),f295(f177(f903(x43451)),f295(f125(x43451,x43452),x43453))),f295(f177(f903(x43451)),f295(f125(x43451,f295(f295(f8(a897,a897,x43451),a291),x43452)),x43453))),f295(f177(f903(x43451)),x43453)) % 192.26/192.33 [4366]P1(f295(f295(f207(f911(x43661,a897)),f295(f295(f117(f911(x43661,a897)),f42(f911(x43661,a897),x43662)),f42(f911(x43661,a897),x43663))),f42(f911(x43661,a897),f295(f295(f108(f911(f911(x43661,a897),a897)),x43662),x43663)))) % 192.26/192.33 [4383]E(f295(f160(x43831),f295(f125(x43831,f295(f295(f8(a897,a897,x43831),a291),f295(f295(f7(x43831,x43831,a897),a292),x43832))),x43833)),f295(f295(f23(f911(x43831,a897)),f295(f160(x43831),x43833)),f295(f295(f275(x43831),x43832),f176(f911(x43831,a897))))) % 192.26/192.33 [4391]P1(f295(f295(f207(f911(f910(x43911,x43911),a897)),f295(f295(f117(f911(f910(x43911,x43911),a897)),f273(x43911,x43912)),f273(x43911,x43913))),f273(x43911,f295(f295(f117(f911(f910(x43911,x43911),a897)),x43912),x43913)))) % 192.26/192.33 [4414]E(f295(f295(f84(a902),f295(a119,f295(a119,f2(a902)))),f295(f295(f6(a902,a902),f295(f295(f8(a902,a902,a902),f295(f83(a902),x44141)),f295(f295(f7(a902,a902,a902),f84(a902)),x44142))),f295(f249(a902),x44143))),f295(f295(f84(a902),x44143),f295(f295(f83(a902),x44141),f295(f295(f83(a902),x44141),f295(f295(f84(a902),f295(f295(f23(a902),x44143),f81(a902))),x44142))))) % 192.26/192.33 [4424]E(f295(f212(x44241),f295(f295(f18(x44241,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44241),a293),f295(f295(f7(x44241,f911(x44241,a897),a897),f297(x44241)),f295(f160(x44241),x44242)))),x44243)),f295(f160(x44241),f295(f125(x44241,x44243),x44242))) % 192.26/192.33 [4573]E(f295(f212(x45731),f295(f295(f8(f911(a902,a897),a897,x45731),f90(a902)),f295(f295(f7(x45731,f911(a902,a897),f911(a902,a897)),f295(f295(f8(f911(a902,f911(a897,a897)),f911(f911(a902,a897),f911(a902,a897)),x45731),f18(a902,a897,a897)),f295(f295(f8(f911(a902,a897),f911(a902,f911(a897,a897)),x45731),f295(f8(a897,f911(a897,a897),a902),a293)),f295(f295(f7(x45731,f911(a902,x45731),f911(a902,a897)),f295(f295(f8(f911(x45731,a897),f911(f911(a902,x45731),f911(a902,a897)),x45731),f8(x45731,a897,a902)),a292)),f295(f153(x45731),x45732))))),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,a902,a897),f208(a902)),f295(f177(f903(x45731)),x45732)))),f295(f295(f7(a902,f911(a902,a897),a897),f297(a902)),x45733))))),f295(f160(x45731),f162(x45731,x45732,x45733))) % 192.26/192.33 [4465]E(f295(f212(x44651),f295(f295(f18(x44651,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44651),a298),f295(f295(f8(a897,a897,x44651),a291),f295(f295(f7(x44651,x44651,a897),a292),x44652)))),x44653)),f295(f295(f275(x44651),x44652),f295(f212(x44651),x44653))) % 192.26/192.33 [4494]E(f295(f295(f143(f910(x44941,a902),x44941),f216(x44941,a902)),f295(f125(f910(x44941,a902),f295(f295(f7(f910(x44941,a902),f911(a902,a897),a897),f295(f295(f8(a902,f911(f911(a902,a897),a897),f910(x44941,a902)),f297(a902)),f227(x44941,a902))),x44942)),f295(f295(f168(x44941,a902),x44943),f128(a902,f295(f268(a902,f2(a902)),f295(f177(f903(x44941)),x44943)))))),f162(x44941,x44943,x44942)) % 192.26/192.33 [4521]E(f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f6(a902,a1),f295(f295(f8(a1,a1,a902),f295(f83(a1),x45211)),f295(f295(f7(a902,a1,a1),f295(f295(f8(a1,f911(a1,a1),a902),f84(a1)),f107(a1))),x45212))),f295(f249(a902),x45213))),f295(f295(f84(a1),f295(f107(a1),x45213)),f295(f295(f83(a1),x45211),f295(f295(f83(a1),x45211),f295(f295(f84(a1),f295(f107(a1),f295(f295(f23(a902),x45213),f81(a902)))),x45212))))) % 192.26/192.33 [4564]E(f295(f212(f910(x45641,x45642)),f295(f228(x45641,x45642,a897),f295(f295(f7(x45641,f911(f910(x45642,x45641),a897),f911(x45642,a897)),f295(f295(f8(f911(x45642,f911(f911(f910(x45642,x45641),a897),a897)),f911(f911(f910(x45642,x45641),a897),f911(x45642,a897)),x45641),f7(x45642,f911(f910(x45642,x45641),a897),a897)),f295(f295(f8(f911(x45642,f910(x45642,x45641)),f911(x45642,f911(f911(f910(x45642,x45641),a897),a897)),x45641),f295(f8(f910(x45642,x45641),f911(f911(f910(x45642,x45641),a897),a897),x45642),f297(f910(x45642,x45641)))),f295(f7(x45642,x45641,f910(x45642,x45641)),f217(x45642,x45641))))),x45643))),f295(f253(x45642,x45641),x45643)) % 192.26/192.33 [4598]E(f295(f212(f903(x45981)),f295(f295(f8(f911(x45981,a897),a897,f903(x45981)),f90(x45981)),f295(f295(f8(f911(x45981,f911(f903(x45981),a897)),f911(x45981,a897),f903(x45981)),f295(f8(f911(f903(x45981),a897),a897,x45981),f90(f903(x45981)))),f295(f295(f7(f903(x45981),f911(x45981,f911(f903(x45981),a897)),f911(x45981,f911(f903(x45981),a897))),f295(f295(f8(f911(x45981,f911(f911(f903(x45981),a897),f911(f903(x45981),a897))),f911(f911(x45981,f911(f903(x45981),a897)),f911(x45981,f911(f903(x45981),a897))),f903(x45981)),f18(x45981,f911(f903(x45981),a897),f911(f903(x45981),a897))),f295(f295(f8(f911(x45981,f911(f903(x45981),f911(a897,a897))),f911(x45981,f911(f911(f903(x45981),a897),f911(f903(x45981),a897))),f903(x45981)),f295(f8(f911(f903(x45981),f911(a897,a897)),f911(f911(f903(x45981),a897),f911(f903(x45981),a897)),x45981),f18(f903(x45981),a897,a897))),f295(f295(f8(f911(x45981,f911(f903(x45981),a897)),f911(x45981,f911(f903(x45981),f911(a897,a897))),f903(x45981)),f295(f8(f911(f903(x45981),a897),f911(f903(x45981),f911(a897,a897)),x45981),f295(f8(a897,f911(a897,a897),f903(x45981)),a293))),f295(f295(f7(f903(x45981),f911(x45981,f911(f903(x45981),f903(x45981))),f911(x45981,f911(f903(x45981),a897))),f295(f295(f8(f911(f911(f903(x45981),f903(x45981)),f911(f903(x45981),a897)),f911(f911(x45981,f911(f903(x45981),f903(x45981))),f911(x45981,f911(f903(x45981),a897))),f903(x45981)),f8(f911(f903(x45981),f903(x45981)),f911(f903(x45981),a897),x45981)),f295(f295(f8(f911(f903(x45981),a897),f911(f911(f903(x45981),f903(x45981)),f911(f903(x45981),a897)),f903(x45981)),f8(f903(x45981),a897,f903(x45981))),a292))),f140(x45981)))))),f295(f295(f7(x45981,f911(f903(x45981),a897),f911(f903(x45981),a897)),f295(f295(f8(f911(a897,a897),f911(f911(f903(x45981),a897),f911(f903(x45981),a897)),x45981),f8(a897,a897,f903(x45981))),f295(f295(f8(a897,f911(a897,a897),x45981),a293),f295(f295(f7(x45981,f911(x45981,a897),a897),f297(x45981)),x45982)))),f295(f295(f7(f903(x45981),f911(f903(x45981),a897),a897),f297(f903(x45981))),x45983)))))),f163(x45981,x45982,x45983)) % 192.26/192.33 [4584]E(f295(f295(f89(a1,f910(a1,a1)),f295(f295(f23(a1),x45841),x45842)),f295(f295(f7(a1,f910(a1,a1),f910(a1,a1)),f295(f295(f18(a1,f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),f295(f295(f8(a897,f911(f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),a1),f103(f910(a1,a1))),f295(f207(a1),f2(a1)))),f295(f217(a1,a1),f295(f295(f83(a1),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x45843)),f81(a1))))),f295(f295(f217(a1,a1),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x45843)),x45841))),f295(f45(x45842),f295(f295(f217(a1,a1),x45843),x45841))) % 192.26/192.33 [4632]~E(f27(x46321,x46322),f33(x46323,x46324)) % 192.26/192.33 [4635]~E(f32(x46351,x46352),f33(x46353,x46354)) % 192.26/192.33 [4636]~E(f32(x46361,x46362),f27(x46363,x46364)) % 192.26/192.33 [4653]~E(f26(x46531),f30(x46532,x46533,x46534)) % 192.26/192.33 [4654]~E(f26(x46541),f28(x46542,x46543,x46544)) % 192.26/192.33 [4655]~E(f26(x46551),f29(x46552,x46553,x46554)) % 192.26/192.33 [4656]~E(f30(x46561,x46562,x46563),f26(x46564)) % 192.26/192.33 [4657]~E(f28(x46571,x46572,x46573),f26(x46574)) % 192.26/192.33 [4658]~E(f29(x46581,x46582,x46583),f26(x46584)) % 192.26/192.33 [3711]E(f295(f295(f219(x37111,x37112,x37113),x37114),f2(a902)),x37112) % 192.26/192.33 [3748]E(f172(x37481,x37482,x37483,f295(a119,x37484)),f295(x37483,x37484)) % 192.26/192.33 [3787]E(f158(x37871,x37872,f158(x37871,x37873,x37874)),f158(x37871,x37873,f158(x37871,x37872,x37874))) % 192.26/192.33 [3916]E(f295(f145(x39161,x39162,x39163,x39164),f120(x39162)),x39163) % 192.26/192.33 [3917]E(f295(f131(x39171,x39172,x39173,x39174),f120(x39172)),x39174) % 192.26/192.33 [3921]E(f295(f177(f901(x39211)),f98(x39211,x39212,x39213,x39214)),f2(a902)) % 192.26/192.33 [4106]E(f295(f295(f230(x41061,x41062,x41063,f910(x41062,x41063)),x41064),f217(x41062,x41063)),x41064) % 192.26/192.33 [4121]E(f76(x41211,x41212,x41213,x41214,f295(x41213,x41214)),x41213) % 192.26/192.33 [4376]P44(x43761,x43762,x43763,x43764,f176(f911(x43761,a897)),x43764) % 192.26/192.33 [4568]P1(f295(f295(f235(x45681,x45682,f911(f911(x45681,a897),a897),f911(f911(x45682,a897),a897),x45683,f235(f911(x45681,a897),f911(x45682,a897),a897,a897,f235(x45681,x45682,a897,a897,x45683,x45684),x45684)),f297(x45681)),f297(x45682))) % 192.26/192.33 [3463]E(f295(f295(f16(x34631,x34632),x34633),x34634),x34633) % 192.26/192.33 [3568]E(f280(x35681,x35682,f295(f295(a277,x35683),x35684)),f295(f295(x35682,x35683),x35684)) % 192.26/192.33 [3569]E(f281(x35691,x35692,f295(f295(a277,x35693),x35694)),f295(f295(x35692,x35693),x35694)) % 192.26/192.33 [3739]E(f158(x37391,x37392,f295(f125(x37391,x37393),x37394)),f295(f125(x37391,x37393),f158(x37391,x37392,x37394))) % 192.26/192.33 [3770]E(f295(f295(f65(x37701,x37702,x37703),x37704),f176(f911(x37701,a897))),x37704) % 192.26/192.33 [3794]E(f295(f295(f153(x37941),f295(f295(f140(x37941),x37942),x37943)),f295(a119,x37944)),f295(f295(f153(x37941),x37943),x37944)) % 192.26/192.33 [3862]E(f295(f295(x38621,x38622),f295(f171(x38623,x38624,x38621),x38622)),f295(f171(x38623,x38624,x38621),f295(a119,x38622))) % 192.26/192.33 [3951]E(f295(f295(f148(x39511,f295(f295(f140(x39511),x39512),x39513)),f2(a902)),x39514),f295(f295(f140(x39511),x39514),x39513)) % 192.26/192.33 [3961]E(f295(f295(f44(f911(x39611,a897),f911(x39612,a897)),x39613),f276(x39611,x39612,x39614)),f295(f276(x39611,x39612,x39614),f41(f911(x39611,a897),x39613))) % 192.26/192.33 [3962]E(f295(f295(f44(f911(x39621,a897),f911(x39622,a897)),x39623),f278(x39622,x39621,x39624)),f295(f278(x39622,x39621,x39624),f41(f911(x39621,a897),x39623))) % 192.26/192.33 [4080]E(f295(f131(x40801,x40802,f295(f7(x40802,x40801,x40801),x40803),x40804),f295(f157(x40802),f120(x40802))),x40804) % 192.26/192.33 [4119]P1(f295(f295(f295(f295(a184,f27(x41191,x41192)),x41193),x41194),f295(f295(f295(a185,x41193),x41191),f295(x41192,x41193)))) % 192.26/192.33 [4125]E(f78(x41251,x41252,x41253,x41254,f176(f911(x41251,a897))),x41253) % 192.26/192.33 [4311]E(f295(f228(x43111,x43112,x43113),f295(f295(f8(f911(x43112,f910(x43111,x43112)),f911(x43112,x43113),x43111),f295(f8(f910(x43111,x43112),x43113,x43112),x43114)),f217(x43111,x43112))),x43114) % 192.26/192.33 [3650]E(f295(f227(x36501,x36502),f295(f295(f217(x36501,x36502),x36503),x36504)),x36504) % 192.26/192.33 [3651]E(f295(f216(x36511,x36512),f295(f295(f217(x36511,x36512),x36513),x36514)),x36513) % 192.26/192.33 [3684]E(f295(f177(f903(x36841)),f295(f295(f148(x36841,x36842),x36843),x36844)),f295(f177(f903(x36841)),x36842)) % 192.26/192.33 [3685]E(f295(f177(f903(x36851)),f295(f295(f143(x36852,x36851),x36853),x36854)),f295(f177(f903(x36852)),x36854)) % 192.26/192.33 [3706]E(f295(f295(f127(x37061),f295(a119,x37062)),f295(f295(f140(x37061),x37063),x37064)),f295(f295(f127(x37061),x37062),x37064)) % 192.26/192.33 [3772]E(f295(f295(f275(x37721),x37722),f295(f295(f275(x37721),x37723),x37724)),f295(f295(f275(x37721),x37723),f295(f295(f275(x37721),x37722),x37724))) % 192.26/192.33 [3776]E(f295(f295(f143(x37761,x37762),x37763),f121(x37761,x37764)),f121(x37762,f295(f295(f143(x37761,x37762),x37763),x37764))) % 192.26/192.33 [3792]E(f295(f157(x37921),f295(f295(f143(x37922,x37921),x37923),x37924)),f295(f295(f143(x37922,x37921),x37923),f295(f157(x37922),x37924))) % 192.26/192.33 [3793]E(f295(f295(f143(x37931,x37932),x37933),f295(f159(x37931),x37934)),f295(f159(x37932),f295(f295(f143(x37931,x37932),x37933),x37934))) % 192.26/192.33 [3808]E(f295(f295(f161(x38081),f295(a119,x38082)),f295(f295(f140(x38081),x38083),x38084)),f295(f295(f140(x38081),x38083),f295(f295(f161(x38081),x38082),x38084))) % 192.26/192.33 [3812]E(f295(f160(x38121),f295(f295(f143(x38122,x38121),x38123),x38124)),f295(f276(x38122,x38121,x38123),f295(f160(x38122),x38124))) % 192.26/192.33 [3861]E(f17(x38611,x38612,x38613,f295(a3,f295(a119,f295(a20,x38614)))),f295(x38613,x38614)) % 192.26/192.33 [3864]E(f295(f295(f122(x38641),f295(f125(x38641,x38642),x38643)),f295(f125(x38641,x38642),x38644)),f295(f125(x38641,x38642),f295(f295(f122(x38641),x38643),x38644))) % 192.26/192.33 [3877]E(f141(x38771,f295(f295(f143(x38772,x38771),x38773),f141(x38772,x38774))),f141(x38771,f295(f295(f143(x38772,x38771),x38773),x38774))) % 192.26/192.33 [3892]E(f295(f253(x38921,x38921),f295(f295(f254(x38922,x38921),x38923),x38924)),f295(f295(f254(x38922,x38921),f295(f253(x38922,x38922),x38923)),x38924)) % 192.26/192.33 [3901]E(f295(f295(f255(x39011,x39012,x39013),x39014),f176(f911(f910(x39012,x39013),a897))),f176(f911(f910(x39011,x39013),a897))) % 192.26/192.33 [3902]E(f295(f295(f161(x39021),f295(f295(f23(a902),x39022),x39023)),f295(f295(f127(x39021),x39023),x39024)),f295(f295(f127(x39021),x39023),f295(f295(f161(x39021),x39022),x39024))) % 192.26/192.33 [3942]E(f42(f911(x39421,a897),f295(f276(x39422,f911(x39421,a897),x39423),x39424)),f295(f295(f43(x39422,f911(x39421,a897)),x39424),x39423)) % 192.26/192.33 [3943]E(f41(f911(x39431,a897),f295(f276(x39432,f911(x39431,a897),x39433),x39434)),f295(f295(f44(x39432,f911(x39431,a897)),x39434),x39433)) % 192.26/192.33 [3944]E(f295(f177(f903(f910(x39441,x39442))),f295(f295(f168(x39441,x39442),x39443),x39444)),f295(f295(f205(a902),f295(f177(f903(x39441)),x39443)),f295(f177(f903(x39442)),x39444))) % 192.26/192.33 [3946]E(f295(f278(x39461,x39462,x39463),f295(f82(f911(x39462,a897)),x39464)),f295(f82(f911(x39461,a897)),f295(f278(x39461,x39462,x39463),x39464))) % 192.26/192.33 [3994]E(f295(f278(x39941,x39942,x39943),f295(f212(x39942),x39944)),f295(f212(x39941),f295(f295(f8(x39942,a897,x39941),x39944),x39943))) % 192.26/192.33 [4012]E(f295(f295(f153(x40121),f295(f295(f122(x40121),x40122),f295(f295(f140(x40121),x40123),x40124))),f295(f177(f903(x40121)),x40122)),x40123) % 192.26/192.33 [4038]E(f295(f295(f170(f911(x40381,x40382),f911(x40381,x40382)),x40383),f295(f74(x40382,x40382,x40381),x40384)),f295(f74(x40382,x40382,x40381),f295(f295(f170(x40382,x40382),x40383),x40384))) % 192.26/192.33 [4039]E(f295(f276(x40391,x40392,x40393),f295(f278(x40391,x40392,x40393),x40394)),f295(f295(f108(f911(x40392,a897)),x40394),f295(f276(x40391,x40392,x40393),f214(f911(x40391,a897))))) % 192.26/192.33 [4058]P1(f295(f295(f297(x40581),f295(x40582,x40583)),f295(f276(x40584,x40581,x40582),f214(f911(x40584,a897))))) % 192.26/192.33 [4065]E(f19(x40651,x40652,x40653,f295(a3,f295(a119,f295(a20,x40654)))),f295(f295(x40653,x40654),f19(x40651,x40652,x40653,x40654))) % 192.26/192.33 [4070]E(f295(f295(f226(x40701,x40702),f295(f160(x40701),x40703)),f295(f16(f911(x40702,a897),x40701),f295(f160(x40702),x40704))),f295(f160(f910(x40701,x40702)),f60(x40701,x40702,x40703,x40704))) % 192.26/192.33 [4082]E(f144(x40821,x40822,f295(f295(f140(x40821),x40823),x40824)),f295(f295(f83(a902),f295(f295(f83(a902),f295(x40822,x40823)),f144(x40821,x40822,x40824))),f295(a119,f2(a902)))) % 192.26/192.33 [4097]E(f172(f903(x40971),f295(f295(f140(x40971),x40972),x40973),f295(f295(f7(a902,f903(x40971),f903(x40971)),f127(x40971)),x40973),x40974),f295(f295(f127(x40971),x40974),f295(f295(f140(x40971),x40972),x40973))) % 192.26/192.33 [4098]P24(x40981,f910(x40982,x40981),f522(x40983,x40984,x40982,x40981),f295(f295(f44(x40982,f911(x40981,a897)),x40984),x40983)) % 192.26/192.33 [4108]E(f295(f295(f23(f911(x41081,a897)),f295(f295(f23(f911(x41081,a897)),x41082),x41083)),f295(f295(f275(x41081),x41084),f176(f911(x41081,a897)))),f295(f295(f23(f911(x41081,a897)),x41082),f295(f295(f275(x41081),x41084),x41083))) % 192.26/192.33 [4192]E(f295(f295(f295(f170(f903(x41921),f903(x41921)),x41922),f156(x41921)),f295(f295(f295(f170(f903(x41921),f903(x41921)),x41923),f156(x41921)),x41924)),f295(f295(f295(f170(f903(x41921),f903(x41921)),f295(f295(f83(a902),x41922),x41923)),f156(x41921)),x41924)) % 192.26/192.33 [4269]P1(f295(f295(f207(f911(x42691,a897)),f295(f160(x42691),f295(f295(f148(x42691,x42692),x42693),x42694))),f295(f295(f275(x42691),x42694),f295(f160(x42691),x42692)))) % 192.26/192.33 [4301]E(f295(f295(f44(f911(x43011,a897),f911(f910(x43011,x43012),a897)),x43013),f295(f295(f7(f911(x43011,a897),f911(x43011,f911(x43012,a897)),f911(f910(x43011,x43012),a897)),f226(x43011,x43012)),x43014)),f295(f295(f226(x43011,x43012),f41(f911(x43011,a897),x43013)),x43014)) % 192.26/192.33 [4351]P1(f295(f67(x43511,x43512,x43513,x43514,f176(f911(x43511,a897))),x43514)) % 192.26/192.33 [4392]E(f295(f295(f44(x43921,f911(x43922,a897)),x43923),f295(f295(f7(x43921,f911(x43922,a897),f911(x43922,a897)),f295(f295(f8(x43922,f911(f911(x43922,a897),f911(x43922,a897)),x43921),f275(x43922)),x43924)),f176(f911(x43922,a897)))),f295(f276(x43921,x43922,x43924),x43923)) % 192.26/192.33 [4399]P1(f295(f295(f207(f911(x43991,a897)),f295(f251(x43992,x43991),f295(f295(f108(f911(f910(x43992,x43991),a897)),x43993),x43994))),f295(f295(f108(f911(x43991,a897)),f295(f251(x43992,x43991),x43993)),f295(f251(x43992,x43991),x43994)))) % 192.26/192.33 [4400]P1(f295(f295(f207(f911(x44001,a897)),f295(f215(x44001,x44002),f295(f295(f108(f911(f910(x44001,x44002),a897)),x44003),x44004))),f295(f295(f108(f911(x44001,a897)),f295(f215(x44001,x44002),x44003)),f295(f215(x44001,x44002),x44004)))) % 192.26/192.33 [4463]P1(f295(f295(f207(f911(f910(x44631,x44632),a897)),f295(f276(x44632,f910(x44631,x44632),f522(x44633,x44634,x44631,x44632)),f295(f295(f44(x44631,f911(x44632,a897)),x44634),x44633))),f295(f295(f226(x44631,x44632),x44634),x44633))) % 192.26/192.33 [4500]E(f88(f910(x45001,x45002),f295(f228(x45001,x45002,a897),f295(f295(f7(x45001,f911(x45002,a897),f911(x45002,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x45002,a897),f911(x45002,a897)),x45001),f8(a897,a897,x45002)),f295(f295(f8(a897,f911(a897,a897),x45001),a293),f295(a292,x45003)))),f295(a292,x45004)))),f295(f295(f217(x45001,x45002),x45003),x45004)) % 192.26/192.33 [4501]E(f93(f910(x45011,x45012),f295(f228(x45011,x45012,a897),f295(f295(f7(x45011,f911(x45012,a897),f911(x45012,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x45012,a897),f911(x45012,a897)),x45011),f8(a897,a897,x45012)),f295(f295(f8(a897,f911(a897,a897),x45011),a293),f295(a292,x45013)))),f295(a292,x45014)))),f295(f295(f217(x45011,x45012),x45013),x45014)) % 192.26/192.33 [4575]E(f295(f295(f228(f903(x45751),f903(x45751),f910(f903(x45751),f903(x45751))),f295(f295(f18(f903(x45751),f911(f903(x45751),f910(f903(x45751),f903(x45751))),f911(f903(x45751),f910(f903(x45751),f903(x45751)))),f295(f295(f8(f911(f903(x45751),f911(f910(f903(x45751),f903(x45751)),f910(f903(x45751),f903(x45751)))),f911(f911(f903(x45751),f910(f903(x45751),f903(x45751))),f911(f903(x45751),f910(f903(x45751),f903(x45751)))),f903(x45751)),f18(f903(x45751),f910(f903(x45751),f903(x45751)),f910(f903(x45751),f903(x45751)))),f295(f295(f8(f911(f903(x45751),f910(f903(x45751),f903(x45751))),f911(f903(x45751),f911(f910(f903(x45751),f903(x45751)),f910(f903(x45751),f903(x45751)))),f903(x45751)),f295(f8(f910(f903(x45751),f903(x45751)),f911(f910(f903(x45751),f903(x45751)),f910(f903(x45751),f903(x45751))),f903(x45751)),f295(f103(f910(f903(x45751),f903(x45751))),f295(x45752,x45753)))),f295(f295(f8(f903(x45751),f911(f903(x45751),f910(f903(x45751),f903(x45751))),f903(x45751)),f217(f903(x45751),f903(x45751))),f295(f140(x45751),x45753))))),f295(f295(f7(f903(x45751),f911(f903(x45751),f903(x45751)),f911(f903(x45751),f910(f903(x45751),f903(x45751)))),f295(f295(f8(f911(f903(x45751),f910(f903(x45751),f903(x45751))),f911(f911(f903(x45751),f903(x45751)),f911(f903(x45751),f910(f903(x45751),f903(x45751)))),f903(x45751)),f8(f903(x45751),f910(f903(x45751),f903(x45751)),f903(x45751))),f217(f903(x45751),f903(x45751)))),f295(f140(x45751),x45753)))),f155(x45751,x45752,x45754)),f155(x45751,x45752,f295(f295(f140(x45751),x45753),x45754))) % 192.26/192.33 [3841]E(f295(f295(f161(x38411),x38412),f295(f295(f161(x38411),x38413),x38414)),f295(f295(f161(x38411),f295(f295(f205(a902),x38412),x38413)),x38414)) % 192.26/192.33 [3842]E(f295(f295(f127(x38421),x38422),f295(f295(f127(x38421),x38423),x38424)),f295(f295(f127(x38421),f295(f295(f83(a902),x38422),x38423)),x38424)) % 192.26/192.33 [3853]E(f295(f295(f122(x38531),f295(f295(f122(x38531),x38532),x38533)),x38534),f295(f295(f122(x38531),x38532),f295(f295(f122(x38531),x38533),x38534))) % 192.26/192.33 [3854]E(f295(f295(f122(x38541),f295(f295(f140(x38541),x38542),x38543)),x38544),f295(f295(f140(x38541),x38542),f295(f295(f122(x38541),x38543),x38544))) % 192.26/192.33 [3925]E(f295(f295(f153(x39251),f295(f295(f140(x39251),x39252),x39253)),x39254),f172(x39251,x39252,f295(f153(x39251),x39253),x39254)) % 192.26/192.33 [3934]E(f295(f295(f170(x39341,x39341),x39342),f295(f295(f170(x39341,x39341),x39343),x39344)),f295(f295(f170(x39341,x39341),f295(f295(f84(a902),x39343),x39342)),x39344)) % 192.26/192.33 [3964]E(f295(f295(f117(f911(x39641,a897)),x39642),f295(f295(f275(x39641),x39643),x39644)),f295(f295(f275(x39641),x39643),f295(f295(f117(f911(x39641,a897)),x39642),x39644))) % 192.26/192.33 [3978]E(f295(f295(f295(f170(x39781,x39781),x39782),x39783),f295(x39783,x39784)),f295(x39783,f295(f295(f295(f170(x39781,x39781),x39782),x39783),x39784))) % 192.26/192.33 [3985]E(f295(f295(f255(x39851,x39852,x39853),f176(f911(f910(x39851,x39852),a897))),x39854),f176(f911(f910(x39851,x39853),a897))) % 192.26/192.33 [4000]E(f295(f295(f117(f911(x40001,a897)),f295(f295(f275(x40001),x40002),x40003)),x40004),f295(f295(f275(x40001),x40002),f295(f295(f117(f911(x40001,a897)),x40003),x40004))) % 192.26/192.33 [4018]E(f295(f39(f910(x40181,x40182)),f295(f295(f226(x40181,x40182),x40183),f295(f16(f911(x40182,a897),x40181),x40184))),f295(f295(f84(a902),f295(f39(x40181),x40183)),f295(f39(x40182),x40184))) % 192.26/192.33 [4027]E(f295(f295(f108(f911(x40271,a897)),f295(f295(f275(x40271),x40272),x40273)),f295(f295(f275(x40271),x40272),x40274)),f295(f295(f275(x40271),x40272),f295(f295(f108(f911(x40271,a897)),x40273),x40274))) % 192.26/192.33 [4043]E(f295(f295(f117(f911(x40431,a897)),x40432),f295(f295(f117(f911(x40431,a897)),x40433),x40434)),f295(f295(f117(f911(x40431,a897)),x40433),f295(f295(f117(f911(x40431,a897)),x40432),x40434))) % 192.26/192.33 [4044]E(f295(f295(f108(f911(x40441,a897)),x40442),f295(f295(f108(f911(x40441,a897)),x40443),x40444)),f295(f295(f108(f911(x40441,a897)),x40443),f295(f295(f108(f911(x40441,a897)),x40442),x40444))) % 192.26/192.33 [4054]E(f65(x40541,x40542,f295(f295(f8(x40542,f911(x40542,x40542),x40541),x40543),x40544)),f295(f66(x40542,x40541,x40543),x40544)) % 192.26/192.33 [4062]E(f166(x40621,f295(f295(f143(f903(x40622),f903(x40621)),f295(f143(x40622,x40621),x40623)),x40624)),f295(f295(f143(f903(x40622),f903(x40621)),f295(f143(x40622,x40621),x40623)),f166(x40622,x40624))) % 192.26/192.33 [4079]E(f295(f131(f903(x40791),f903(x40791),f122(x40791),f120(x40791)),f295(f295(f143(x40792,f903(x40791)),x40793),x40794)),f152(x40792,x40791,x40793,x40794)) % 192.26/192.33 [4087]E(f295(f295(f74(x40871,x40871,x40871),f295(f295(f170(x40871,x40871),x40872),x40873)),f295(f295(f170(x40871,x40871),x40874),x40873)),f295(f295(f170(x40871,x40871),f295(f295(f83(a902),x40872),x40874)),x40873)) % 192.26/192.33 [4158]E(f295(f295(f108(f911(x41581,a897)),f295(f295(f117(f911(x41581,a897)),x41582),x41583)),f295(f295(f117(f911(x41581,a897)),x41582),x41584)),f295(f295(f117(f911(x41581,a897)),x41582),f295(f295(f108(f911(x41581,a897)),x41583),x41584))) % 192.26/192.33 [4159]E(f295(f295(f117(f911(x41591,a897)),f295(f295(f108(f911(x41591,a897)),x41592),x41593)),f295(f295(f108(f911(x41591,a897)),x41592),x41594)),f295(f295(f108(f911(x41591,a897)),x41592),f295(f295(f117(f911(x41591,a897)),x41593),x41594))) % 192.26/192.33 [4160]E(f295(f295(f23(f911(x41601,a897)),f295(f295(f108(f911(x41601,a897)),x41602),x41603)),f295(f295(f108(f911(x41601,a897)),x41602),x41604)),f295(f295(f108(f911(x41601,a897)),x41602),f295(f295(f23(f911(x41601,a897)),x41603),x41604))) % 192.26/192.33 [4161]E(f295(f295(f108(f911(x41611,a897)),f295(f295(f23(f911(x41611,a897)),x41612),x41613)),f295(f295(f23(f911(x41611,a897)),x41612),x41614)),f295(f295(f23(f911(x41611,a897)),x41612),f295(f295(f117(f911(x41611,a897)),x41613),x41614))) % 192.26/192.33 [4162]E(f295(f295(f117(f911(x41621,a897)),f295(f295(f23(f911(x41621,a897)),x41622),x41623)),f295(f295(f23(f911(x41621,a897)),x41622),x41624)),f295(f295(f23(f911(x41621,a897)),x41622),f295(f295(f108(f911(x41621,a897)),x41623),x41624))) % 192.26/192.33 [4167]E(f295(f39(f910(x41671,x41672)),f295(f295(f226(x41671,x41672),f295(f295(f275(x41671),x41673),f176(f911(x41671,a897)))),f295(f16(f911(x41672,a897),x41671),x41674))),f295(f39(x41672),x41674)) % 192.26/192.33 [4205]E(f295(f295(f44(x42051,f911(x42052,a897)),x42053),f295(f295(f8(f911(x42052,a897),f911(x42052,a897),x42051),f82(f911(x42052,a897))),x42054)),f295(f82(f911(x42052,a897)),f295(f295(f43(x42051,f911(x42052,a897)),x42053),x42054))) % 192.26/192.33 [4206]E(f295(f295(f43(x42061,f911(x42062,a897)),x42063),f295(f295(f8(f911(x42062,a897),f911(x42062,a897),x42061),f82(f911(x42062,a897))),x42064)),f295(f82(f911(x42062,a897)),f295(f295(f44(x42061,f911(x42062,a897)),x42063),x42064))) % 192.26/192.33 [4218]E(f295(f295(f255(x42181,x42181,x42181),f295(f295(f170(f910(x42181,x42181),a897),x42182),x42183)),f295(f295(f170(f910(x42181,x42181),a897),x42184),x42183)),f295(f295(f170(f910(x42181,x42181),a897),f295(f295(f83(a902),x42182),x42184)),x42183)) % 192.26/192.33 [4244]E(f295(f295(f43(x42441,f911(f911(x42442,a897),a897)),x42443),f295(f295(f8(f911(x42442,a897),f911(f911(x42442,a897),a897),x42441),f274(x42442)),x42444)),f295(f274(x42442),f295(f295(f43(x42441,f911(x42442,a897)),x42443),x42444))) % 192.26/192.33 [4276]E(f295(f295(f43(f911(x42761,a897),f911(x42762,a897)),x42763),f295(f295(f7(f911(x42761,a897),f911(x42761,f911(x42762,a897)),f911(x42762,a897)),f43(x42761,f911(x42762,a897))),x42764)),f295(f295(f43(x42761,f911(x42762,a897)),f41(f911(x42761,a897),x42763)),x42764)) % 192.26/192.33 [4277]E(f295(f295(f44(f911(x42771,a897),f911(x42772,a897)),x42773),f295(f295(f7(f911(x42771,a897),f911(x42771,f911(x42772,a897)),f911(x42772,a897)),f44(x42771,f911(x42772,a897))),x42774)),f295(f295(f44(x42771,f911(x42772,a897)),f41(f911(x42771,a897),x42773)),x42774)) % 192.26/192.33 [4282]E(f295(f295(f143(x42821,x42822),x42823),f295(f131(f903(x42821),f903(x42821),f122(x42821),f120(x42821)),x42824)),f295(f131(f903(x42822),f903(x42822),f122(x42822),f120(x42822)),f295(f295(f143(f903(x42821),f903(x42822)),f295(f143(x42821,x42822),x42823)),x42824))) % 192.26/192.33 [4286]E(f172(f903(x42861),f120(x42861),f295(f295(f8(f903(x42861),f903(x42861),a902),f295(f140(x42861),x42862)),f295(f295(f7(a902,f903(x42861),f903(x42861)),f161(x42861)),x42863)),x42864),f295(f295(f161(x42861),x42864),f295(f295(f140(x42861),x42862),x42863))) % 192.26/192.33 [4319]P1(f295(f295(f207(f911(x43191,a897)),f295(f276(x43192,x43191,x43193),f295(f278(x43192,x43191,x43193),x43194))),x43194)) % 192.26/192.33 [4321]E(f295(f276(f910(x43211,x43212),f910(x43212,x43211),f295(f228(x43211,x43212,f910(x43212,x43211)),f295(f7(x43212,x43211,f910(x43212,x43211)),f217(x43212,x43211)))),f295(f295(f226(x43211,x43212),x43213),f295(f16(f911(x43212,a897),x43211),x43214))),f295(f295(f226(x43212,x43211),x43214),f295(f16(f911(x43211,a897),x43212),x43213))) % 192.26/192.33 [4330]E(f295(f295(f44(x43301,f911(x43302,a897)),x43303),f295(f295(f8(f911(x43301,a897),f911(x43302,a897),x43301),f252(x43301,x43302,x43304)),f295(f295(f7(x43301,f911(x43301,a897),f911(x43301,a897)),f275(x43301)),f176(f911(x43301,a897))))),f295(f252(x43301,x43302,x43304),x43303)) % 192.26/192.33 [4331]E(f295(f295(f44(x43311,f911(x43312,a897)),x43313),f295(f295(f8(f911(x43311,a897),f911(x43312,a897),x43311),f278(x43312,x43311,x43314)),f295(f295(f7(x43311,f911(x43311,a897),f911(x43311,a897)),f275(x43311)),f176(f911(x43311,a897))))),f295(f278(x43312,x43311,x43314),x43313)) % 192.26/192.33 [4413]E(f295(f295(f117(f911(x44131,a897)),f295(f295(f117(f911(x44131,a897)),f295(f295(f108(f911(x44131,a897)),x44132),x44133)),f295(f295(f108(f911(x44131,a897)),x44133),x44134))),f295(f295(f108(f911(x44131,a897)),x44134),x44132)),f295(f295(f108(f911(x44131,a897)),f295(f295(f108(f911(x44131,a897)),f295(f295(f117(f911(x44131,a897)),x44132),x44133)),f295(f295(f117(f911(x44131,a897)),x44133),x44134))),f295(f295(f117(f911(x44131,a897)),x44134),x44132))) % 192.26/192.33 [4475]E(f295(f131(f903(x44751),f903(x44751),f122(x44751),f120(x44751)),f295(f295(f143(x44752,f903(x44751)),f295(f295(f7(x44752,f903(x44751),f903(x44751)),f295(f295(f8(x44751,f911(f903(x44751),f903(x44751)),x44752),f140(x44751)),x44753)),f120(x44751))),x44754)),f295(f295(f143(x44752,x44751),x44753),x44754)) % 192.26/192.33 [4484]E(f295(f295(f89(a1,x44841),f295(f110(a1),f295(f295(f83(a1),x44842),a104))),f295(f295(f18(a1,x44841,x44841),f295(f295(f7(a1,x44841,f911(x44841,x44841)),f295(f295(f8(a897,f911(x44841,f911(x44841,x44841)),a1),f103(x44841)),a179)),x44843)),f295(f295(f8(a902,x44841,a1),x44844),a111))),f172(x44841,x44843,x44844,f295(f110(a902),x44842))) % 192.26/192.33 [4515]E(f295(f212(x45151),f295(f295(f8(f911(x45152,a897),a897,x45151),f90(x45152)),f295(f295(f8(f911(x45152,a897),f911(x45152,a897),x45151),f295(f18(x45152,a897,a897),f295(f295(f8(a897,f911(a897,a897),x45152),a293),f295(f295(f7(x45152,f911(x45152,a897),a897),f297(x45152)),x45153)))),f295(f7(x45152,x45151,a897),x45154)))),f295(f252(x45152,x45151,f295(f212(f910(x45152,x45151)),f295(f228(x45152,x45151,a897),x45154))),x45153)) % 192.26/192.33 [4721]~P1(f295(f295(f176(f911(x47211,f911(x47212,a897))),x47213),x47214)) % 192.26/192.33 [3988]E(f295(f295(f153(x39881),f295(f295(f122(x39881),x39882),x39883)),f295(f295(f83(a902),f295(f177(f903(x39881)),x39882)),x39884)),f295(f295(f153(x39881),x39883),x39884)) % 192.26/192.33 [3993]E(f295(f295(f127(x39931),x39932),f295(f295(f161(x39931),f295(f295(f83(a902),x39933),x39932)),x39934)),f295(f295(f161(x39931),x39933),f295(f295(f127(x39931),x39932),x39934))) % 192.26/192.33 [4095]E(f295(f295(f117(f911(x40951,a897)),f295(f251(x40952,x40951),x40953)),f295(f251(x40952,x40951),x40954)),f295(f251(x40952,x40951),f295(f295(f117(f911(f910(x40952,x40951),a897)),x40953),x40954))) % 192.26/192.33 [4096]E(f295(f295(f117(f911(x40961,a897)),f295(f215(x40961,x40962),x40963)),f295(f215(x40961,x40962),x40964)),f295(f215(x40961,x40962),f295(f295(f117(f911(f910(x40961,x40962),a897)),x40963),x40964))) % 192.26/192.33 [4101]E(f295(f295(f117(f911(x41011,a897)),f295(f295(f117(f911(x41011,a897)),x41012),x41013)),x41014),f295(f295(f117(f911(x41011,a897)),x41012),f295(f295(f117(f911(x41011,a897)),x41013),x41014))) % 192.26/192.33 [4102]E(f295(f295(f108(f911(x41021,a897)),f295(f295(f108(f911(x41021,a897)),x41022),x41023)),x41024),f295(f295(f108(f911(x41021,a897)),x41022),f295(f295(f108(f911(x41021,a897)),x41023),x41024))) % 192.26/192.33 [4103]E(f295(f295(f23(f911(x41031,a897)),f295(f295(f108(f911(x41031,a897)),x41032),x41033)),x41034),f295(f295(f108(f911(x41031,a897)),x41032),f295(f295(f23(f911(x41031,a897)),x41033),x41034))) % 192.26/192.33 [4138]E(f295(f295(f117(f911(f910(x41381,x41382),a897)),f295(f253(x41382,x41381),x41383)),f295(f253(x41382,x41381),x41384)),f295(f253(x41382,x41381),f295(f295(f117(f911(f910(x41382,x41381),a897)),x41383),x41384))) % 192.26/192.33 [4139]E(f295(f295(f108(f911(f910(x41391,x41392),a897)),f295(f253(x41392,x41391),x41393)),f295(f253(x41392,x41391),x41394)),f295(f253(x41392,x41391),f295(f295(f108(f911(f910(x41392,x41391),a897)),x41393),x41394))) % 192.26/192.33 [4209]E(f295(f295(f108(f911(x42091,a897)),f295(f295(f117(f911(x42091,a897)),x42092),x42093)),f295(f295(f117(f911(x42091,a897)),x42094),x42093)),f295(f295(f117(f911(x42091,a897)),f295(f295(f108(f911(x42091,a897)),x42092),x42094)),x42093)) % 192.26/192.33 [4210]E(f295(f295(f117(f911(x42101,a897)),f295(f295(f108(f911(x42101,a897)),x42102),x42103)),f295(f295(f108(f911(x42101,a897)),x42104),x42103)),f295(f295(f108(f911(x42101,a897)),f295(f295(f117(f911(x42101,a897)),x42102),x42104)),x42103)) % 192.26/192.33 [4211]E(f295(f295(f23(f911(x42111,a897)),f295(f295(f108(f911(x42111,a897)),x42112),x42113)),f295(f295(f108(f911(x42111,a897)),x42114),x42113)),f295(f295(f108(f911(x42111,a897)),f295(f295(f23(f911(x42111,a897)),x42112),x42114)),x42113)) % 192.26/192.33 [4212]E(f295(f295(f117(f911(x42121,a897)),f295(f295(f23(f911(x42121,a897)),x42122),x42123)),f295(f295(f23(f911(x42121,a897)),x42124),x42123)),f295(f295(f23(f911(x42121,a897)),f295(f295(f117(f911(x42121,a897)),x42122),x42124)),x42123)) % 192.26/192.33 [4213]E(f295(f295(f23(f911(x42131,a897)),f295(f295(f108(f911(x42131,a897)),x42132),x42133)),f295(f295(f108(f911(x42131,a897)),x42134),x42133)),f295(f295(f23(f911(x42131,a897)),f295(f295(f108(f911(x42131,a897)),x42132),x42133)),x42134)) % 192.26/192.33 [4221]E(f295(f295(f23(f911(x42211,a897)),f295(f295(f23(f911(x42211,a897)),x42212),f295(f295(f275(x42211),x42213),f176(f911(x42211,a897))))),x42214),f295(f295(f23(f911(x42211,a897)),x42212),f295(f295(f275(x42211),x42213),x42214))) % 192.26/192.33 [4270]E(f295(f295(f117(f911(x42701,a897)),f295(f295(f275(x42701),x42702),f295(f295(f275(x42701),x42703),f176(f911(x42701,a897))))),f295(f248(x42701),x42704)),f295(f248(x42701),f295(f295(f275(f910(x42701,x42701)),f295(f295(f217(x42701,x42701),x42702),x42703)),x42704))) % 192.26/192.33 [4296]E(f295(f295(f44(a902,f911(x42961,a897)),f295(f267(a902),x42962)),f295(f295(f8(a902,f911(x42961,a897),a902),x42963),f295(f295(f7(a902,a902,a902),f83(a902)),x42964))),f295(f295(f44(a902,f911(x42961,a897)),f269(a902,x42964,f295(f295(f83(a902),x42962),x42964))),x42963)) % 192.26/192.33 [4297]E(f163(x42971,f295(f252(x42971,x42971,x42972),f295(f295(f275(x42971),x42973),f176(f911(x42971,a897)))),f295(f252(f903(x42971),f903(x42971),f147(x42971,x42972)),f295(f295(f275(f903(x42971)),x42974),f176(f911(f903(x42971),a897))))),f295(f252(f903(x42971),f903(x42971),f147(x42971,x42972)),f295(f295(f275(f903(x42971)),f295(f295(f140(x42971),x42973),x42974)),f176(f911(f903(x42971),a897))))) % 192.26/192.33 [4353]E(f295(f212(x43531),f295(f295(f7(x43531,f911(x43532,a897),a897),f295(f295(f8(x43532,f911(f911(x43532,a897),a897),x43531),f297(x43532)),x43533)),x43534)),f295(f278(x43531,x43532,x43533),x43534)) % 192.26/192.33 [4446]E(f295(f212(x44461),f295(f295(f7(x44461,f911(f910(x44462,x44461),a897),a897),f295(f295(f8(f910(x44462,x44461),f911(f911(f910(x44462,x44461),a897),a897),x44461),f297(f910(x44462,x44461))),f295(f217(x44462,x44461),x44463))),x44464)),f295(f252(x44462,x44461,x44464),f295(f295(f275(x44462),x44463),f176(f911(x44462,a897))))) % 192.26/192.33 [4461]E(f295(f295(f143(f910(x44611,a902),x44611),f216(x44611,a902)),f295(f125(f910(x44611,a902),f295(f295(f8(a902,a897,f910(x44611,a902)),x44612),f295(f295(f8(a902,a902,f910(x44611,a902)),a119),f227(x44611,a902)))),f295(f295(f168(x44611,a902),x44613),x44614))),f295(f295(f143(f910(x44611,a902),x44611),f216(x44611,a902)),f295(f125(f910(x44611,a902),f295(f295(f8(a902,a897,f910(x44611,a902)),x44612),f227(x44611,a902))),f295(f295(f168(x44611,a902),x44613),f295(f295(f143(a902,a902),a119),x44614))))) % 192.26/192.33 [4469]P1(f295(f295(f207(f911(f911(x44691,a897),a897)),f295(f295(f44(x44692,f911(f911(x44691,a897),a897)),x44693),f295(f295(f8(f911(x44691,a897),f911(f911(x44691,a897),a897),x44692),f274(x44691)),x44694))),f295(f274(x44691),f295(f295(f44(x44692,f911(x44691,a897)),x44693),x44694)))) % 192.26/192.33 [4507]E(f295(f295(f89(a1,x45071),f295(f110(a1),f295(f295(f83(a1),x45072),a104))),f295(f295(f18(a1,x45071,x45071),f295(f295(f7(a1,x45071,f911(x45071,x45071)),f295(f295(f8(a897,f911(x45071,f911(x45071,x45071)),a1),f103(x45071)),a179)),x45073)),f295(f295(f18(a1,x45071,x45071),f295(f295(f8(a902,f911(x45071,x45071),a1),x45074),a111)),f295(f295(f8(a902,x45071,a1),f171(x45071,x45073,x45074)),a111)))),f295(f171(x45071,x45073,x45074),f295(f110(a902),x45072))) % 192.26/192.33 [4533]E(f295(f212(f910(x45331,x45332)),f295(f228(x45331,x45332,a897),f295(f295(f7(x45331,f911(x45332,a897),f911(x45332,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x45332,a897),f911(x45332,a897)),x45331),f8(a897,a897,x45332)),f295(f295(f8(a897,f911(a897,a897),x45331),a293),f295(f295(f7(x45331,f911(x45331,a897),a897),f297(x45331)),x45333)))),f295(f295(f7(x45332,f911(x45332,a897),a897),f297(x45332)),x45334)))),f200(x45331,x45332,x45333,x45334)) % 192.26/192.33 [4570]E(f295(f295(f44(x45701,f911(f910(x45701,x45702),a897)),x45703),f295(f295(f18(x45701,f911(x45702,f911(f910(x45701,x45702),a897)),f911(f910(x45701,x45702),a897)),f295(f295(f8(f911(x45702,a897),f911(f911(x45702,f911(f910(x45701,x45702),a897)),f911(f910(x45701,x45702),a897)),x45701),f44(x45702,f911(f910(x45701,x45702),a897))),x45704)),f295(f295(f7(x45701,f911(f910(x45701,x45702),a897),f911(x45702,f911(f910(x45701,x45702),a897))),f295(f295(f8(f911(x45702,f911(f911(f910(x45701,x45702),a897),f911(f910(x45701,x45702),a897))),f911(f911(f910(x45701,x45702),a897),f911(x45702,f911(f910(x45701,x45702),a897))),x45701),f7(x45702,f911(f910(x45701,x45702),a897),f911(f910(x45701,x45702),a897))),f295(f295(f8(f911(x45702,f910(x45701,x45702)),f911(x45702,f911(f911(f910(x45701,x45702),a897),f911(f910(x45701,x45702),a897))),x45701),f295(f8(f910(x45701,x45702),f911(f911(f910(x45701,x45702),a897),f911(f910(x45701,x45702),a897)),x45702),f275(f910(x45701,x45702)))),f217(x45701,x45702)))),f176(f911(f910(x45701,x45702),a897))))),f295(f295(f226(x45701,x45702),x45703),x45704)) % 192.26/192.33 [4146]E(f295(f295(f122(x41461),f295(f295(f161(x41461),x41462),x41463)),f295(f295(f161(x41461),f295(f295(f23(a902),x41462),f295(f177(f903(x41461)),x41463))),x41464)),f295(f295(f161(x41461),x41462),f295(f295(f122(x41461),x41463),x41464))) % 192.26/192.33 [4147]E(f295(f295(f122(x41471),f295(f295(f127(x41471),x41472),x41473)),f295(f295(f127(x41471),f295(f295(f23(a902),x41472),f295(f177(f903(x41471)),x41473))),x41474)),f295(f295(f127(x41471),x41472),f295(f295(f122(x41471),x41473),x41474))) % 192.26/192.33 [4199]E(f295(f295(f83(a902),f295(f295(f84(a902),x41991),x41992)),f295(f295(f83(a902),f295(f295(f84(a902),x41993),x41992)),x41994)),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f83(a902),x41991),x41993)),x41992)),x41994)) % 192.26/192.33 [4335]E(f93(x43351,f295(f295(f7(x43351,x43352,a897),f295(f295(f8(x43352,f911(x43352,a897),x43351),a292),x43353)),x43354)),f295(f94(x43351,x43352,f214(f911(x43351,a897)),x43353),x43354)) % 192.26/192.33 [4380]P1(f295(f295(f207(f911(x43801,a897)),f295(f295(f23(f911(x43801,a897)),f295(f251(x43802,x43801),x43803)),f295(f251(x43802,x43801),x43804))),f295(f251(x43802,x43801),f295(f295(f23(f911(f910(x43802,x43801),a897)),x43803),x43804)))) % 192.26/192.33 [4381]P1(f295(f295(f207(f911(x43811,a897)),f295(f295(f23(f911(x43811,a897)),f295(f215(x43811,x43812),x43813)),f295(f215(x43811,x43812),x43814))),f295(f215(x43811,x43812),f295(f295(f23(f911(f910(x43811,x43812),a897)),x43813),x43814)))) % 192.26/192.33 [4486]E(f295(f295(f83(a1),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x44861),x44862)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x44863),x44864)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),f295(f295(f83(a902),x44861),x44863)),f295(f295(f83(a902),x44862),x44864))),f176(f911(f910(a902,a902),a897)))))) % 192.26/192.33 [4529]E(f295(f295(f84(a1),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x45291),x45292)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x45293),x45294)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),f295(f295(f83(a902),f295(f295(f84(a902),x45291),x45293)),f295(f295(f84(a902),x45292),x45294))),f295(f295(f83(a902),f295(f295(f84(a902),x45291),x45294)),f295(f295(f84(a902),x45292),x45293)))),f176(f911(f910(a902,a902),a897)))))) % 192.26/192.33 [4546]E(f295(f212(x45461),f295(f295(f8(f911(x45462,a897),a897,x45461),f91(x45462)),f295(f295(f8(f911(x45462,a897),f911(x45462,a897),x45461),f295(f18(x45462,a897,a897),f295(f295(f8(a897,f911(a897,a897),x45462),a298),f295(f295(f7(x45462,f911(x45462,a897),a897),f297(x45462)),x45463)))),f295(f295(f7(x45461,f911(x45462,f911(x45461,a897)),f911(x45462,a897)),f295(f295(f8(f911(f911(x45461,a897),a897),f911(f911(x45462,f911(x45461,a897)),f911(x45462,a897)),x45461),f8(f911(x45461,a897),a897,x45462)),f297(x45461))),x45464)))),f295(f295(f43(x45462,f911(x45461,a897)),x45463),x45464)) % 192.26/192.33 [4583]E(f295(f295(f255(x45831,x45831,x45831),f295(f295(f275(f910(x45831,x45831)),f295(f295(f217(x45831,x45831),x45832),x45833)),x45834)),f273(x45831,f295(f295(f275(f910(x45831,x45831)),f295(f295(f217(x45831,x45831),x45832),x45833)),x45834))),f295(f295(f117(f911(f910(x45831,x45831),a897)),f295(f295(f255(x45831,x45831,x45831),x45834),f273(x45831,x45834))),f295(f212(f910(x45831,x45831)),f295(f228(x45831,x45831,a897),f295(f295(f7(x45831,f911(x45831,a897),f911(x45831,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x45831,a897),f911(x45831,a897)),x45831),f8(a897,a897,x45831)),f295(f295(f8(a897,f911(a897,a897),x45831),a293),f295(f295(f7(x45831,f911(f910(x45831,x45831),a897),a897),f295(f295(f8(f910(x45831,x45831),f911(f911(f910(x45831,x45831),a897),a897),x45831),f297(f910(x45831,x45831))),f295(f295(f7(x45831,x45831,f910(x45831,x45831)),f217(x45831,x45831)),x45832))),f273(x45831,x45834))))),f295(f295(f7(x45831,f911(f910(x45831,x45831),a897),a897),f295(f295(f8(f910(x45831,x45831),f911(f911(f910(x45831,x45831),a897),a897),x45831),f297(f910(x45831,x45831))),f295(f217(x45831,x45831),x45833))),f273(x45831,x45834))))))) % 192.26/192.33 [4382]E(f295(f125(x43821,f295(f295(f18(x43821,a897,a897),f295(f295(f8(a897,f911(a897,a897),x43821),a293),x43822)),x43823)),x43824),f295(f125(x43821,x43823),f295(f125(x43821,x43822),x43824))) % 192.26/192.33 [4480]E(f295(f295(f122(x44801),f295(f295(f295(f103(f903(x44801)),f295(f295(f297(a902),f2(a902)),x44802)),f295(f295(f140(x44801),x44803),f120(x44801))),f120(x44801))),f162(x44801,x44804,f295(f212(a902),f295(f295(f7(a902,f911(a902,a897),a897),f295(f295(f8(a902,f911(f911(a902,a897),a897),a902),f297(a902)),a119)),x44802)))),f162(x44801,f295(f295(f140(x44801),x44803),x44804),x44802)) % 192.26/192.33 [4579]E(f295(f212(f910(x45791,x45792)),f295(f295(f8(f911(a902,a897),a897,f910(x45791,x45792)),f90(a902)),f295(f295(f7(f910(x45791,x45792),f911(a902,a897),f911(a902,a897)),f295(f295(f8(f911(a902,f911(a897,a897)),f911(f911(a902,a897),f911(a902,a897)),f910(x45791,x45792)),f18(a902,a897,a897)),f295(f295(f8(f911(a902,a897),f911(a902,f911(a897,a897)),f910(x45791,x45792)),f295(f8(a897,f911(a897,a897),a902),a293)),f295(f295(f7(f910(x45791,x45792),f911(a902,f910(x45791,x45792)),f911(a902,a897)),f295(f295(f8(f911(f910(x45791,x45792),a897),f911(f911(a902,f910(x45791,x45792)),f911(a902,a897)),f910(x45791,x45792)),f8(f910(x45791,x45792),a897,a902)),a292)),f295(f295(f18(a902,x45792,f910(x45791,x45792)),f295(f295(f8(x45791,f911(x45792,f910(x45791,x45792)),a902),f217(x45791,x45792)),f295(f153(x45791),x45793))),f295(f153(x45792),x45794)))))),f295(f295(f7(a902,a902,a897),f208(a902)),f295(f295(f205(a902),f295(f177(f903(x45791)),x45793)),f295(f177(f903(x45792)),x45794)))))),f295(f160(f910(x45791,x45792)),f295(f295(f168(x45791,x45792),x45793),x45794))) % 192.26/192.33 [4499]E(f295(f212(f910(x44991,x44992)),f295(f228(x44991,x44992,a897),f295(f295(f7(x44991,f911(x44992,a897),f911(x44992,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x44992,a897),f911(x44992,a897)),x44991),f8(a897,a897,x44992)),f295(f295(f8(a897,f911(a897,a897),x44991),a293),x44993))),x44994))),f295(f295(f226(x44991,x44992),f295(f212(x44991),x44993)),f295(f16(f911(x44992,a897),x44991),f295(f212(x44992),x44994)))) % 192.26/192.33 [4502]E(f295(f212(f910(x45021,x45022)),f295(f228(x45021,x45022,a897),f295(f295(f18(x45021,f911(x45022,a897),f911(x45022,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x45022,a897),f911(x45022,a897)),x45021),f8(a897,a897,x45022)),f295(f295(f8(a897,f911(a897,a897),x45021),a293),x45023))),x45024))),f295(f295(f226(x45021,x45022),f295(f212(x45021),x45023)),f295(f295(f8(f911(x45022,a897),f911(x45022,a897),x45021),f212(x45022)),x45024))) % 192.26/192.33 [4514]E(f295(f212(x45141),f295(f295(f8(f911(x45142,a897),a897,x45141),f91(x45142)),f295(f295(f8(f911(x45142,a897),f911(x45142,a897),x45141),f295(f18(x45142,a897,a897),f295(f295(f8(a897,f911(a897,a897),x45142),a298),f295(f295(f7(x45142,f911(x45142,a897),a897),f297(x45142)),x45143)))),x45144))),f295(f295(f43(x45142,f911(x45141,a897)),x45143),f295(f295(f8(f911(x45141,a897),f911(x45141,a897),x45142),f212(x45141)),f295(f7(x45141,x45142,a897),x45144)))) % 192.26/192.33 [4559]E(f295(f295(f143(f910(x45591,a902),x45591),f216(x45591,a902)),f295(f125(f910(x45591,a902),f295(f295(f7(f910(x45591,a902),f911(a902,a897),a897),f295(f295(f8(a902,f911(f911(a902,a897),a897),f910(x45591,a902)),f297(a902)),f227(x45591,a902))),x45592)),f295(f295(f168(x45591,a902),x45593),f128(a902,f295(f268(a902,x45594),f295(f295(f83(a902),x45594),f295(f177(f903(x45591)),x45593))))))),f295(f295(f143(f910(x45591,a902),x45591),f216(x45591,a902)),f295(f125(f910(x45591,a902),f295(f295(f7(f910(x45591,a902),f911(a902,a897),a897),f295(f295(f8(a902,f911(f911(a902,a897),a897),f910(x45591,a902)),f297(a902)),f295(f295(f7(f910(x45591,a902),a902,a902),f295(f295(f8(a902,f911(a902,a902),f910(x45591,a902)),f83(a902)),f227(x45591,a902))),x45594))),x45592)),f295(f295(f168(x45591,a902),x45593),f128(a902,f295(f268(a902,f2(a902)),f295(f177(f903(x45591)),x45593))))))) % 192.26/192.33 [4561]E(f295(a119,f295(f295(f206(a902),f295(f177(f903(x45611)),x45612)),f295(f131(a902,f903(x45613),f295(f7(f903(x45613),a902,a902),f295(f295(f8(a902,f911(a902,a902),f903(x45613)),f206(a902)),f295(f295(f7(f903(x45613),a902,a902),f295(f295(f8(a902,f911(a902,a902),f903(x45613)),f23(a902)),f177(f903(x45613)))),f295(a119,f2(a902))))),f2(a902)),f295(f157(f903(x45613)),f295(f125(f903(x45613),f295(f295(f8(a897,a897,f903(x45613)),a291),f295(f295(f7(f903(x45613),f903(x45613),a897),a292),f120(x45613)))),x45614))))),f295(f295(f206(a902),f295(a119,f295(f177(f903(x45611)),x45612))),f295(f131(a902,f903(x45613),f295(f7(f903(x45613),a902,a902),f295(f295(f8(a902,f911(a902,a902),f903(x45613)),f206(a902)),f177(f903(x45613)))),f2(a902)),f295(f157(f903(x45613)),x45614)))) % 192.26/192.33 [4513]E(f295(f295(f122(x45131),f162(x45131,x45132,x45133)),f162(x45131,x45134,f295(f212(a902),f295(f295(f7(a902,f911(a902,a897),a897),f295(f295(f8(a902,f911(f911(a902,a897),a897),a902),f297(a902)),f295(f295(f7(a902,a902,a902),f83(a902)),f295(f177(f903(x45131)),x45132)))),x45133)))),f162(x45131,f295(f295(f122(x45131),x45132),x45134),x45133)) % 192.26/192.33 [4562]E(f42(f911(x45621,a897),f295(f212(f911(x45621,a897)),f295(f295(f8(f911(x45622,a897),a897,f911(x45621,a897)),f90(x45622)),f295(f295(f8(f911(x45622,a897),f911(x45622,a897),f911(x45621,a897)),f295(f18(x45622,a897,a897),f295(f295(f8(a897,f911(a897,a897),x45622),a293),f295(f295(f7(x45622,f911(x45622,a897),a897),f297(x45622)),x45623)))),f295(f295(f7(f911(x45621,a897),f911(x45622,f911(x45621,a897)),f911(x45622,a897)),f295(f295(f8(f911(f911(x45621,a897),a897),f911(f911(x45622,f911(x45621,a897)),f911(x45622,a897)),f911(x45621,a897)),f8(f911(x45621,a897),a897,x45622)),a292)),x45624))))),f295(f295(f43(x45622,f911(x45621,a897)),x45623),x45624)) % 192.26/192.33 [4563]E(f41(f911(x45631,a897),f295(f212(f911(x45631,a897)),f295(f295(f8(f911(x45632,a897),a897,f911(x45631,a897)),f90(x45632)),f295(f295(f8(f911(x45632,a897),f911(x45632,a897),f911(x45631,a897)),f295(f18(x45632,a897,a897),f295(f295(f8(a897,f911(a897,a897),x45632),a293),f295(f295(f7(x45632,f911(x45632,a897),a897),f297(x45632)),x45633)))),f295(f295(f7(f911(x45631,a897),f911(x45632,f911(x45631,a897)),f911(x45632,a897)),f295(f295(f8(f911(f911(x45631,a897),a897),f911(f911(x45632,f911(x45631,a897)),f911(x45632,a897)),f911(x45631,a897)),f8(f911(x45631,a897),a897,x45632)),a292)),x45634))))),f295(f295(f44(x45632,f911(x45631,a897)),x45633),x45634)) % 192.26/192.33 [4572]E(f295(f295(f140(f903(x45721)),f295(f295(f140(x45721),x45722),f295(f131(f903(x45721),f903(x45721),f122(x45721),f120(x45721)),f295(f295(f143(f903(x45721),f903(x45721)),f145(f903(x45721),x45721,f120(x45721),f295(f295(f8(f903(x45721),f911(f903(x45721),f903(x45721)),x45721),f16(f903(x45721),f903(x45721))),f295(f295(f7(x45721,f903(x45721),f903(x45721)),f140(x45721)),f120(x45721))))),x45723)))),f166(x45721,f295(f295(f140(f903(x45721)),x45724),f295(f131(f903(f903(x45721)),f903(f903(x45721)),f122(f903(x45721)),f120(f903(x45721))),f295(f295(f143(f903(x45721),f903(f903(x45721))),f145(f903(f903(x45721)),x45721,f120(f903(x45721)),f295(f16(f911(f903(x45721),f903(f903(x45721))),x45721),f295(f295(f7(f903(x45721),f903(f903(x45721)),f903(f903(x45721))),f140(f903(x45721))),f120(f903(x45721)))))),x45723))))),f166(x45721,f295(f295(f140(f903(x45721)),f295(f295(f140(x45721),x45722),x45724)),x45723))) % 192.26/192.33 [4580]E(f295(f212(f910(x45801,x45801)),f295(f228(x45801,x45801,a897),f295(f295(f7(x45801,f911(f910(x45802,x45802),a897),f911(x45801,a897)),f295(f295(f8(f911(x45801,f911(f911(f910(x45802,x45802),a897),a897)),f911(f911(f910(x45802,x45802),a897),f911(x45801,a897)),x45801),f7(x45801,f911(f910(x45802,x45802),a897),a897)),f295(f295(f8(f911(x45801,f910(x45802,x45802)),f911(x45801,f911(f911(f910(x45802,x45802),a897),a897)),x45801),f295(f8(f910(x45802,x45802),f911(f911(f910(x45802,x45802),a897),a897),x45801),f297(f910(x45802,x45802)))),f295(f295(f7(x45801,f911(x45801,x45802),f911(x45801,f910(x45802,x45802))),f295(f295(f8(f911(x45802,f910(x45802,x45802)),f911(f911(x45801,x45802),f911(x45801,f910(x45802,x45802))),x45801),f8(x45802,f910(x45802,x45802),x45801)),f295(f295(f8(x45802,f911(x45802,f910(x45802,x45802)),x45801),f217(x45802,x45802)),x45803))),x45803)))),x45804))),f295(f295(f254(x45802,x45801),x45804),x45803)) % 192.26/192.33 [4661]~E(f33(x46611,x46612),f30(x46613,x46614,x46615)) % 192.26/192.33 [4662]~E(f33(x46621,x46622),f28(x46623,x46624,x46625)) % 192.26/192.33 [4663]~E(f33(x46631,x46632),f29(x46633,x46634,x46635)) % 192.26/192.33 [4664]~E(f27(x46641,x46642),f30(x46643,x46644,x46645)) % 192.26/192.33 [4665]~E(f27(x46651,x46652),f28(x46653,x46654,x46655)) % 192.26/192.33 [4666]~E(f27(x46661,x46662),f29(x46663,x46664,x46665)) % 192.26/192.33 [4667]~E(f32(x46671,x46672),f30(x46673,x46674,x46675)) % 192.26/192.33 [4668]~E(f32(x46681,x46682),f28(x46683,x46684,x46685)) % 192.26/192.33 [4669]~E(f32(x46691,x46692),f29(x46693,x46694,x46695)) % 192.26/192.33 [4670]~E(f30(x46701,x46702,x46703),f33(x46704,x46705)) % 192.26/192.33 [4671]~E(f30(x46711,x46712,x46713),f27(x46714,x46715)) % 192.26/192.33 [4672]~E(f30(x46721,x46722,x46723),f32(x46724,x46725)) % 192.26/192.33 [4673]~E(f28(x46731,x46732,x46733),f33(x46734,x46735)) % 192.26/192.33 [4674]~E(f28(x46741,x46742,x46743),f27(x46744,x46745)) % 192.26/192.33 [4675]~E(f28(x46751,x46752,x46753),f32(x46754,x46755)) % 192.26/192.33 [4676]~E(f29(x46761,x46762,x46763),f33(x46764,x46765)) % 192.26/192.33 [4677]~E(f29(x46771,x46772,x46773),f27(x46774,x46775)) % 192.26/192.33 [4678]~E(f29(x46781,x46782,x46783),f32(x46784,x46785)) % 192.26/192.33 [3939]E(f100(x39391,x39392,f98(x39391,x39393,x39394,x39395)),f2(a902)) % 192.26/192.33 [4288]E(f295(f76(x42881,x42882,x42883,x42884,x42885),x42884),x42885) % 192.26/192.33 [4576]P1(f295(f295(f235(f911(x45761,x45762),f911(x45761,x45762),f911(f911(x45763,x45761),f911(x45763,x45762)),f911(f911(x45764,x45761),f911(x45764,x45762)),a292,f235(f911(x45763,x45761),f911(x45764,x45761),f911(x45763,x45762),f911(x45764,x45762),f235(x45763,x45764,x45761,x45761,x45765,a292),f235(x45763,x45764,x45762,x45762,x45765,a292))),f74(x45761,x45762,x45763)),f74(x45761,x45762,x45764))) % 192.26/192.33 [3920]E(f295(f295(f228(x39201,x39202,x39203),x39204),x39205),f295(f295(x39204,f295(f216(x39201,x39202),x39205)),f295(f227(x39201,x39202),x39205))) % 192.26/192.33 [3955]E(f295(f295(f295(f66(x39551,x39552,x39553),x39554),x39555),f176(f911(x39552,a897))),x39555) % 192.26/192.33 [4300]E(f88(x43001,f67(x43002,x43001,x43003,x43004,x43005)),f295(f295(f65(x43002,x43001,x43003),x43004),x43005)) % 192.26/192.33 [4333]E(f295(f295(f83(a902),f295(f295(f83(a902),f295(x43331,f295(f216(x43332,x43333),x43334))),f295(x43335,f295(f227(x43332,x43333),x43334)))),f295(a119,f2(a902))),f232(x43332,x43333,x43331,x43335,x43334)) % 192.26/192.33 [3865]E(f295(f295(f161(x38651),x38652),f295(f295(f143(x38653,x38651),x38654),x38655)),f295(f295(f143(x38653,x38651),x38654),f295(f295(f161(x38653),x38652),x38655))) % 192.26/192.33 [3866]E(f295(f295(f127(x38661),x38662),f295(f295(f143(x38663,x38661),x38664),x38665)),f295(f295(f143(x38663,x38661),x38664),f295(f295(f127(x38663),x38662),x38665))) % 192.26/192.33 [3896]E(f295(f295(f143(x38961,x38962),x38963),f295(f295(f140(x38961),x38964),x38965)),f295(f295(f140(x38962),f295(x38963,x38964)),f295(f295(f143(x38961,x38962),x38963),x38965))) % 192.26/192.33 [3952]E(f295(f276(x39521,x39522,x39523),f295(f295(f275(x39521),x39524),x39525)),f295(f295(f275(x39522),f295(x39523,x39524)),f295(f276(x39521,x39522,x39523),x39525))) % 192.26/192.33 [4014]E(f295(f295(f168(x40141,x40142),f295(f295(f161(x40141),x40143),x40144)),f295(f295(f161(x40142),x40143),x40145)),f295(f295(f161(f910(x40141,x40142)),x40143),f295(f295(f168(x40141,x40142),x40144),x40145))) % 192.26/192.33 [4015]E(f295(f295(f168(x40151,x40152),f295(f295(f127(x40151),x40153),x40154)),f295(f295(f127(x40152),x40153),x40155)),f295(f295(f127(f910(x40151,x40152)),x40153),f295(f295(f168(x40151,x40152),x40154),x40155))) % 192.26/192.33 [4025]E(f295(f295(f148(x40251,f295(f295(f140(x40251),x40252),x40253)),f295(a119,x40254)),x40255),f295(f295(f140(x40251),x40252),f295(f295(f148(x40251,x40253),x40254),x40255))) % 192.26/192.33 [4026]E(f144(x40261,x40262,f295(f295(f143(x40263,x40261),x40264),x40265)),f144(x40263,f295(f295(f74(x40261,a902,x40263),x40262),x40264),x40265)) % 192.26/192.33 [4029]E(f295(f295(f122(x40291),f295(f295(f143(x40292,x40291),x40293),x40294)),f295(f295(f143(x40292,x40291),x40293),x40295)),f295(f295(f143(x40292,x40291),x40293),f295(f295(f122(x40292),x40294),x40295))) % 192.26/192.33 [4033]E(f295(f295(x40331,x40332),f295(f295(f219(x40333,x40334,x40331),x40332),x40335)),f295(f295(f219(x40333,x40334,x40331),x40332),f295(a119,x40335))) % 192.26/192.33 [4066]E(f152(x40661,x40662,x40663,f295(f295(f140(x40661),x40664),x40665)),f295(f295(f122(x40662),f295(x40663,x40664)),f152(x40661,x40662,x40663,x40665))) % 192.26/192.33 [4077]E(f295(f295(f255(x40771,x40772,x40773),f295(f253(x40772,x40771),x40774)),f295(f253(x40773,x40772),x40775)),f295(f253(x40773,x40771),f295(f295(f255(x40773,x40772,x40771),x40775),x40774))) % 192.26/192.33 [4093]E(f295(f295(f74(f903(x40931),f903(x40932),f903(x40933)),f295(f143(x40931,x40932),x40934)),f295(f143(x40933,x40931),x40935)),f295(f143(x40933,x40932),f295(f295(f74(x40931,x40932,x40933),x40934),x40935))) % 192.26/192.33 [4112]E(f295(f295(f295(f170(f903(x41121),f903(x41121)),x41122),f156(x41121)),f295(f295(f143(x41123,x41121),x41124),x41125)),f295(f295(f143(x41123,x41121),x41124),f295(f295(f295(f170(f903(x41123),f903(x41123)),x41122),f156(x41123)),x41125))) % 192.26/192.33 [4113]E(f295(f295(f230(x41131,x41132,x41131,x41133),f295(f217(x41132,x41131),x41134)),x41135),f295(x41135,x41134)) % 192.26/192.33 [4116]E(f164(f910(x41161,x41162),f295(f295(f74(x41162,a897,f910(x41161,x41162)),x41163),f227(x41161,x41162)),f295(f295(f168(x41161,x41162),x41164),x41165)),f295(f295(f168(x41161,x41162),x41164),f164(x41162,x41163,x41165))) % 192.26/192.33 [4135]E(f164(f910(x41351,x41352),f295(f295(f74(x41351,a897,f910(x41351,x41352)),x41353),f216(x41351,x41352)),f295(f295(f168(x41351,x41352),x41354),x41355)),f295(f295(f168(x41351,x41352),f164(x41351,x41353,x41354)),x41355)) % 192.26/192.33 [4203]E(f295(f276(x42031,x42032,f295(f295(f8(x42033,x42032,x42031),x42034),x42035)),f214(f911(x42031,a897))),f295(f276(x42033,x42032,x42034),f295(f276(x42031,x42033,x42035),f214(f911(x42031,a897))))) % 192.26/192.33 [4230]E(f295(f295(f117(f911(x42301,a897)),f295(f278(x42301,x42302,x42303),f295(f295(f275(x42302),x42304),f176(f911(x42302,a897))))),f295(f278(x42301,x42302,x42303),x42305)),f295(f278(x42301,x42302,x42303),f295(f295(f275(x42302),x42304),x42305))) % 192.26/192.33 [4287]E(f295(f295(f122(f910(x42871,x42872)),f295(f295(f143(x42872,f910(x42871,x42872)),f295(f217(x42871,x42872),x42873)),x42874)),f60(x42871,x42872,x42875,x42874)),f60(x42871,x42872,f295(f295(f140(x42871),x42873),x42875),x42874)) % 192.26/192.33 [4292]E(f295(f131(x42921,x42922,f295(f7(x42922,x42921,x42921),f295(f7(x42921,x42922,x42921),x42923)),x42924),f295(f157(x42922),f295(f157(x42922),x42925))),f295(f131(x42921,x42922,x42923,x42924),x42925)) % 192.26/192.33 [4389]P1(f295(f295(f207(f911(x43891,a897)),f295(f276(x43892,x43891,x43893),f295(f295(f108(f911(x43892,a897)),x43894),x43895))),f295(f295(f108(f911(x43891,a897)),f295(f276(x43892,x43891,x43893),x43894)),f295(f276(x43892,x43891,x43893),x43895)))) % 192.26/192.33 [4390]P1(f295(f295(f207(f911(x43901,a897)),f295(f252(x43902,x43901,x43903),f295(f295(f108(f911(x43902,a897)),x43904),x43905))),f295(f295(f108(f911(x43901,a897)),f295(f252(x43902,x43901,x43903),x43904)),f295(f252(x43902,x43901,x43903),x43905)))) % 192.26/192.33 [4487]E(f295(f227(x44871,x44872),f295(f229(x44873,x44871,x44872,x44872,x44874,f36(x44872)),x44875)),f295(f227(x44873,x44872),x44875)) % 192.26/192.33 [4488]E(f295(f216(x44881,x44882),f295(f229(x44881,x44881,x44883,x44882,f36(x44881),x44884),x44885)),f295(f216(x44881,x44883),x44885)) % 192.26/192.33 [4551]P23(x45511,x45512,f295(f295(f275(f901(x45511)),f98(x45511,f295(f295(f7(x45511,f911(a899,a899),f911(a899,a897)),f295(f295(f8(f911(a899,a897),f911(f911(a899,a899),f911(a899,a897)),x45511),f8(a899,a897,a899)),x45513)),f295(f295(f18(a899,a902,a899),f295(f295(f7(a899,a900,f911(a902,a899)),a185),x45514)),x45515)),f27(x45514,x45515),x45513)),f176(f911(f901(x45511),a897)))) % 192.26/192.33 [4067]E(f295(f295(f43(x40671,f911(x40672,a897)),f295(f295(f275(x40671),x40673),x40674)),x40675),f295(f295(f108(f911(x40672,a897)),f295(x40675,x40673)),f295(f295(f43(x40671,f911(x40672,a897)),x40674),x40675))) % 192.26/192.33 [4068]E(f295(f295(f44(x40681,f911(x40682,a897)),f295(f295(f275(x40681),x40683),x40684)),x40685),f295(f295(f117(f911(x40682,a897)),f295(x40685,x40683)),f295(f295(f44(x40681,f911(x40682,a897)),x40684),x40685))) % 192.26/192.33 [4129]E(f295(f295(f117(f911(x41291,a897)),f295(f276(x41292,x41291,x41293),x41294)),f295(f276(x41292,x41291,x41293),x41295)),f295(f276(x41292,x41291,x41293),f295(f295(f117(f911(x41292,a897)),x41294),x41295))) % 192.26/192.33 [4130]E(f295(f295(f117(f911(x41301,a897)),f295(f252(x41302,x41301,x41303),x41304)),f295(f252(x41302,x41301,x41303),x41305)),f295(f252(x41302,x41301,x41303),f295(f295(f117(f911(x41302,a897)),x41304),x41305))) % 192.26/192.33 [4131]E(f295(f295(f117(f911(x41311,a897)),f295(f278(x41311,x41312,x41313),x41314)),f295(f278(x41311,x41312,x41313),x41315)),f295(f278(x41311,x41312,x41313),f295(f295(f117(f911(x41312,a897)),x41314),x41315))) % 192.26/192.33 [4132]E(f295(f295(f108(f911(x41321,a897)),f295(f278(x41321,x41322,x41323),x41324)),f295(f278(x41321,x41322,x41323),x41325)),f295(f278(x41321,x41322,x41323),f295(f295(f108(f911(x41322,a897)),x41324),x41325))) % 192.26/192.33 [4133]E(f295(f295(f23(f911(x41331,a897)),f295(f278(x41331,x41332,x41333),x41334)),f295(f278(x41331,x41332,x41333),x41335)),f295(f278(x41331,x41332,x41333),f295(f295(f23(f911(x41332,a897)),x41334),x41335))) % 192.26/192.33 [4156]E(f295(f295(f143(x41561,x41562),x41563),f164(x41561,f295(f295(f74(x41562,a897,x41561),x41564),x41563),x41565)),f164(x41562,x41564,f295(f295(f143(x41561,x41562),x41563),x41565))) % 192.26/192.33 [4195]E(f295(f295(f148(x41951,f295(f295(f122(x41951),x41952),f295(f295(f140(x41951),x41953),x41954))),f295(f177(f903(x41951)),x41952)),x41955),f295(f295(f122(x41951),x41952),f295(f295(f140(x41951),x41955),x41954))) % 192.26/192.33 [4201]E(f295(f295(f43(x42011,f911(x42012,a897)),x42013),f295(f295(f8(f911(x42012,a897),f911(x42012,a897),x42011),f295(f275(x42012),x42014)),x42015)),f295(f295(f275(x42012),x42014),f295(f295(f43(x42011,f911(x42012,a897)),x42013),x42015))) % 192.26/192.33 [4552]E(f295(f145(f903(f910(x45521,x45522)),x45522,f120(f910(x45521,x45522)),f295(f295(f7(x45522,f911(f903(x45522),f903(f910(x45521,x45522))),f911(f903(x45522),f903(f910(x45521,x45522)))),f295(f295(f8(f911(f903(f910(x45521,x45522)),f903(f910(x45521,x45522))),f911(f911(f903(x45522),f903(f910(x45521,x45522))),f911(f903(x45522),f903(f910(x45521,x45522)))),x45522),f8(f903(f910(x45521,x45522)),f903(f910(x45521,x45522)),f903(x45522))),f295(f295(f8(f910(x45521,x45522),f911(f903(f910(x45521,x45522)),f903(f910(x45521,x45522))),x45522),f140(f910(x45521,x45522))),f295(f217(x45521,x45522),x45523)))),f295(f168(x45521,x45522),x45524))),x45525),f295(f295(f168(x45521,x45522),f295(f295(f140(x45521),x45523),x45524)),x45525)) % 192.26/192.33 [4061]E(f295(f295(f148(x40611,f295(f295(f148(x40611,x40612),x40613),x40614)),x40613),x40615),f295(f295(f148(x40611,x40612),x40613),x40615)) % 192.26/192.33 [4114]E(f295(f251(x41141,x41142),f295(f295(f275(f910(x41141,x41142)),f295(f295(f217(x41141,x41142),x41143),x41144)),x41145)),f295(f295(f275(x41142),x41144),f295(f251(x41141,x41142),x41145))) % 192.26/192.33 [4115]E(f295(f215(x41151,x41152),f295(f295(f275(f910(x41151,x41152)),f295(f295(f217(x41151,x41152),x41153),x41154)),x41155)),f295(f295(f275(x41151),x41153),f295(f215(x41151,x41152),x41155))) % 192.26/192.33 [4188]E(f295(f295(f117(f911(f910(x41881,x41882),a897)),f295(f295(f226(x41881,x41882),x41883),x41884)),f295(f295(f226(x41881,x41882),x41885),x41884)),f295(f295(f226(x41881,x41882),f295(f295(f117(f911(x41881,a897)),x41883),x41885)),x41884)) % 192.26/192.33 [4189]E(f295(f295(f108(f911(f910(x41891,x41892),a897)),f295(f295(f226(x41891,x41892),x41893),x41894)),f295(f295(f226(x41891,x41892),x41895),x41894)),f295(f295(f226(x41891,x41892),f295(f295(f108(f911(x41891,a897)),x41893),x41895)),x41894)) % 192.26/192.33 [4190]E(f295(f295(f23(f911(f910(x41901,x41902),a897)),f295(f295(f226(x41901,x41902),x41903),x41904)),f295(f295(f226(x41901,x41902),x41905),x41904)),f295(f295(f226(x41901,x41902),f295(f295(f23(f911(x41901,a897)),x41903),x41905)),x41904)) % 192.26/192.33 [4240]E(f295(f295(f108(f911(x42401,a897)),f295(f295(f43(x42402,f911(x42401,a897)),x42403),x42404)),f295(f295(f43(x42402,f911(x42401,a897)),x42405),x42404)),f295(f295(f43(x42402,f911(x42401,a897)),f295(f295(f117(f911(x42402,a897)),x42403),x42405)),x42404)) % 192.26/192.33 [4241]E(f295(f295(f117(f911(x42411,a897)),f295(f295(f44(x42412,f911(x42411,a897)),x42413),x42414)),f295(f295(f44(x42412,f911(x42411,a897)),x42415),x42414)),f295(f295(f44(x42412,f911(x42411,a897)),f295(f295(f117(f911(x42412,a897)),x42413),x42415)),x42414)) % 192.26/192.33 [4256]E(f295(f295(f43(x42561,f911(x42562,a897)),x42563),f295(f295(f8(f911(x42562,a897),f911(x42562,a897),x42561),f295(f117(f911(x42562,a897)),x42564)),x42565)),f295(f295(f117(f911(x42562,a897)),x42564),f295(f295(f43(x42561,f911(x42562,a897)),x42563),x42565))) % 192.26/192.33 [4257]E(f295(f295(f44(x42571,f911(x42572,a897)),x42573),f295(f295(f8(f911(x42572,a897),f911(x42572,a897),x42571),f295(f108(f911(x42572,a897)),x42574)),x42575)),f295(f295(f108(f911(x42572,a897)),x42574),f295(f295(f44(x42571,f911(x42572,a897)),x42573),x42575))) % 192.26/192.33 [4258]E(f295(f295(f44(x42581,f911(x42582,a897)),x42583),f295(f295(f8(f911(x42582,a897),f911(x42582,a897),x42581),f295(f23(f911(x42582,a897)),x42584)),x42585)),f295(f295(f23(f911(x42582,a897)),x42584),f295(f295(f43(x42581,f911(x42582,a897)),x42583),x42585))) % 192.26/192.33 [4283]E(f295(f295(f143(x42831,x42832),x42833),f295(f125(x42831,f295(f295(f74(x42832,a897,x42831),x42834),x42833)),x42835)),f295(f125(x42832,x42834),f295(f295(f143(x42831,x42832),x42833),x42835))) % 192.26/192.33 [4291]E(f295(f177(f903(x42911)),f295(f125(x42911,x42912),f295(f295(f143(x42913,x42911),x42914),x42915))),f295(f177(f903(x42913)),f295(f125(x42913,f295(f295(f74(x42911,a897,x42913),x42912),x42914)),x42915))) % 192.26/192.33 [4312]E(f172(f903(x43121),f295(f295(f140(x43121),x43122),x43123),f295(f295(f8(f903(x43121),f903(x43121),a902),f295(f140(x43121),x43124)),f295(f295(f7(a902,x43121,f903(x43121)),f148(x43121,x43123)),x43122)),x43125),f295(f295(f148(x43121,f295(f295(f140(x43121),x43124),x43123)),x43125),x43122)) % 192.26/192.33 [4315]E(f295(f295(f43(x43151,f911(f910(x43152,x43153),a897)),x43154),f295(f295(f8(f911(f910(x43153,x43152),a897),f911(f910(x43152,x43153),a897),x43151),f253(x43153,x43152)),x43155)),f295(f253(x43153,x43152),f295(f295(f43(x43151,f911(f910(x43153,x43152),a897)),x43154),x43155))) % 192.26/192.33 [4316]E(f295(f295(f44(x43161,f911(f910(x43162,x43163),a897)),x43164),f295(f295(f8(f911(f910(x43163,x43162),a897),f911(f910(x43162,x43163),a897),x43161),f253(x43163,x43162)),x43165)),f295(f253(x43163,x43162),f295(f295(f44(x43161,f911(f910(x43163,x43162),a897)),x43164),x43165))) % 192.26/192.33 [4412]P1(f295(f295(f207(f911(x44121,a897)),f295(f295(f23(f911(x44121,a897)),f295(f276(x44122,x44121,x44123),x44124)),f295(f276(x44122,x44121,x44123),x44125))),f295(f276(x44122,x44121,x44123),f295(f295(f23(f911(x44122,a897)),x44124),x44125)))) % 192.26/192.33 [4555]E(f295(f145(f903(f910(x45551,x45552)),x45551,f120(f910(x45551,x45552)),f295(f295(f7(x45551,f911(f903(x45551),f903(f910(x45551,x45552))),f911(f903(x45551),f903(f910(x45551,x45552)))),f295(f295(f8(f911(f903(f910(x45551,x45552)),f903(f910(x45551,x45552))),f911(f911(f903(x45551),f903(f910(x45551,x45552))),f911(f903(x45551),f903(f910(x45551,x45552)))),x45551),f8(f903(f910(x45551,x45552)),f903(f910(x45551,x45552)),f903(x45551))),f295(f295(f8(f910(x45551,x45552),f911(f903(f910(x45551,x45552)),f903(f910(x45551,x45552))),x45551),f140(f910(x45551,x45552))),f295(f295(f7(x45551,x45552,f910(x45551,x45552)),f217(x45551,x45552)),x45553)))),f295(f295(f7(f903(x45551),f903(x45552),f903(f910(x45551,x45552))),f168(x45551,x45552)),x45554))),x45555),f295(f295(f168(x45551,x45552),x45555),f295(f295(f140(x45552),x45553),x45554))) % 192.26/192.33 [4285]E(f295(f295(f117(f911(x42851,a897)),f295(f252(x42852,x42851,x42853),x42854)),f295(f252(x42852,x42851,x42855),x42854)),f295(f252(x42852,x42851,f295(f295(f117(f911(f910(x42852,x42851),a897)),x42853),x42855)),x42854)) % 192.26/192.33 [4317]E(f295(f295(f122(f910(x43171,x43172)),f295(f295(f168(x43171,x43172),x43173),f295(f295(f161(x43172),f295(f177(f903(x43171)),x43173)),x43174))),f295(f295(f168(x43171,x43172),x43175),f295(f295(f127(x43172),f295(f177(f903(x43171)),x43173)),x43174))),f295(f295(f168(x43171,x43172),f295(f295(f122(x43171),x43173),x43175)),x43174)) % 192.26/192.33 [4415]E(f295(f295(f226(x44151,x44152),x44153),f295(f295(f18(x44151,f911(x44152,a897),f911(x44152,a897)),f295(f295(f8(f911(x44152,a897),f911(f911(x44152,a897),f911(x44152,a897)),x44151),f117(f911(x44152,a897))),x44154)),x44155)),f295(f295(f117(f911(f910(x44151,x44152),a897)),f295(f295(f226(x44151,x44152),x44153),x44154)),f295(f295(f226(x44151,x44152),x44153),x44155))) % 192.26/192.33 [4416]E(f295(f295(f226(x44161,x44162),x44163),f295(f295(f18(x44161,f911(x44162,a897),f911(x44162,a897)),f295(f295(f8(f911(x44162,a897),f911(f911(x44162,a897),f911(x44162,a897)),x44161),f108(f911(x44162,a897))),x44164)),x44165)),f295(f295(f108(f911(f910(x44161,x44162),a897)),f295(f295(f226(x44161,x44162),x44163),x44164)),f295(f295(f226(x44161,x44162),x44163),x44165))) % 192.26/192.33 [4417]E(f295(f295(f226(x44171,x44172),x44173),f295(f295(f18(x44171,f911(x44172,a897),f911(x44172,a897)),f295(f295(f8(f911(x44172,a897),f911(f911(x44172,a897),f911(x44172,a897)),x44171),f23(f911(x44172,a897))),x44174)),x44175)),f295(f295(f23(f911(f910(x44171,x44172),a897)),f295(f295(f226(x44171,x44172),x44173),x44174)),f295(f295(f226(x44171,x44172),x44173),x44175))) % 192.26/192.33 [4421]E(f295(f295(f43(x44211,f911(x44212,a897)),x44213),f295(f295(f7(x44211,f911(x44212,a897),f911(x44212,a897)),f295(f295(f8(f911(x44212,a897),f911(f911(x44212,a897),f911(x44212,a897)),x44211),f117(f911(x44212,a897))),x44214)),x44215)),f295(f295(f117(f911(x44212,a897)),f295(f295(f43(x44211,f911(x44212,a897)),x44213),x44214)),x44215)) % 192.26/192.33 [4422]E(f295(f295(f44(x44221,f911(x44222,a897)),x44223),f295(f295(f7(x44221,f911(x44222,a897),f911(x44222,a897)),f295(f295(f8(f911(x44222,a897),f911(f911(x44222,a897),f911(x44222,a897)),x44221),f108(f911(x44222,a897))),x44224)),x44225)),f295(f295(f108(f911(x44222,a897)),f295(f295(f44(x44221,f911(x44222,a897)),x44223),x44224)),x44225)) % 192.26/192.33 [4423]E(f295(f295(f44(x44231,f911(x44232,a897)),x44233),f295(f295(f7(x44231,f911(x44232,a897),f911(x44232,a897)),f295(f295(f8(f911(x44232,a897),f911(f911(x44232,a897),f911(x44232,a897)),x44231),f23(f911(x44232,a897))),x44234)),x44235)),f295(f295(f23(f911(x44232,a897)),f295(f295(f44(x44231,f911(x44232,a897)),x44233),x44234)),x44235)) % 192.26/192.33 [4427]E(f295(f295(f43(x44271,f911(x44272,a897)),x44273),f295(f295(f18(x44271,f911(x44272,a897),f911(x44272,a897)),f295(f295(f8(f911(x44272,a897),f911(f911(x44272,a897),f911(x44272,a897)),x44271),f108(f911(x44272,a897))),x44274)),x44275)),f295(f295(f108(f911(x44272,a897)),f295(f295(f43(x44271,f911(x44272,a897)),x44273),x44274)),f295(f295(f43(x44271,f911(x44272,a897)),x44273),x44275))) % 192.26/192.33 [4428]E(f295(f295(f44(x44281,f911(x44282,a897)),x44283),f295(f295(f18(x44281,f911(x44282,a897),f911(x44282,a897)),f295(f295(f8(f911(x44282,a897),f911(f911(x44282,a897),f911(x44282,a897)),x44281),f117(f911(x44282,a897))),x44284)),x44285)),f295(f295(f117(f911(x44282,a897)),f295(f295(f44(x44281,f911(x44282,a897)),x44283),x44284)),f295(f295(f44(x44281,f911(x44282,a897)),x44283),x44285))) % 192.26/192.33 [4441]E(f295(f295(f43(x44411,f911(x44412,a897)),x44413),f295(f295(f18(x44411,f911(x44412,a897),f911(x44412,a897)),f295(f295(f8(f911(x44412,a897),f911(f911(x44412,a897),f911(x44412,a897)),x44411),f108(f911(x44412,a897))),x44414)),x44415)),f295(f295(f108(f911(x44412,a897)),f42(f911(x44412,a897),f295(f276(x44411,f911(x44412,a897),x44414),x44413))),f42(f911(x44412,a897),f295(f276(x44411,f911(x44412,a897),x44415),x44413)))) % 192.26/192.33 [4442]E(f295(f295(f44(x44421,f911(x44422,a897)),x44423),f295(f295(f18(x44421,f911(x44422,a897),f911(x44422,a897)),f295(f295(f8(f911(x44422,a897),f911(f911(x44422,a897),f911(x44422,a897)),x44421),f117(f911(x44422,a897))),x44424)),x44425)),f295(f295(f117(f911(x44422,a897)),f41(f911(x44422,a897),f295(f276(x44421,f911(x44422,a897),x44424),x44423))),f41(f911(x44422,a897),f295(f276(x44421,f911(x44422,a897),x44425),x44423)))) % 192.26/192.33 [4352]E(f295(f295(f122(f910(x43521,x43522)),f295(f295(f168(x43521,x43522),f295(f295(f161(x43521),f295(f177(f903(x43522)),x43523)),x43524)),x43523)),f295(f295(f168(x43521,x43522),f295(f295(f127(x43521),f295(f177(f903(x43522)),x43523)),x43524)),x43525)),f295(f295(f168(x43521,x43522),x43524),f295(f295(f122(x43522),x43523),x43525))) % 192.26/192.33 [4447]E(f295(f295(f127(x44471),f295(f177(f903(x44471)),f164(x44471,x44472,f295(f295(f143(x44473,x44471),x44474),x44475)))),f295(f295(f143(x44473,x44471),x44474),x44475)),f295(f295(f143(x44473,x44471),x44474),f295(f295(f127(x44473),f295(f177(f903(x44473)),f164(x44473,f295(f295(f74(x44471,a897,x44473),x44472),x44474),x44475))),x44475))) % 192.26/192.33 [4470]E(f88(x44701,f295(f295(f18(x44701,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44701),a293),f295(f295(f7(x44701,f911(x44701,a897),a897),f297(x44701)),x44702))),f295(f295(f7(x44701,x44703,a897),f295(f295(f8(x44703,f911(x44703,a897),x44701),a292),x44704)),x44705))),f295(f80(x44701,x44703,x44702,x44704),x44705)) % 192.26/192.33 [4471]E(f93(x44711,f295(f295(f18(x44711,a897,a897),f295(f295(f8(a897,f911(a897,a897),x44711),a293),f295(f295(f7(x44711,f911(x44711,a897),a897),f297(x44711)),x44712))),f295(f295(f7(x44711,x44713,a897),f295(f295(f8(x44713,f911(x44713,a897),x44711),a292),x44714)),x44715))),f295(f94(x44711,x44713,x44712,x44714),x44715)) % 192.26/192.33 [4516]E(f295(f295(f89(a1,x45161),f295(f110(a1),f295(f295(f83(a1),x45162),a104))),f295(f295(f18(a1,x45161,x45161),f295(f295(f7(a1,x45161,f911(x45161,x45161)),f295(f295(f8(a897,f911(x45161,f911(x45161,x45161)),a1),f103(x45161)),a179)),f172(x45161,x45163,x45164,x45165))),f295(f295(f8(a902,x45161,a1),x45164),f295(f295(f7(a1,a902,a902),f295(f295(f8(a902,f911(a902,a902),a1),f83(a902)),a111)),x45165)))),f172(x45161,x45163,x45164,f295(f295(f83(a902),f295(f110(a902),x45162)),x45165))) % 192.26/192.33 [4549]E(f295(f295(f89(a1,x45491),f295(f110(a1),f295(f295(f83(a1),x45492),a104))),f295(f295(f18(a1,x45491,x45491),f295(f295(f7(a1,x45491,f911(x45491,x45491)),f295(f295(f8(a897,f911(x45491,f911(x45491,x45491)),a1),f103(x45491)),a179)),f295(f171(x45491,x45493,x45494),x45495))),f295(f295(f18(a1,x45491,x45491),f295(f295(f8(a902,f911(x45491,x45491),a1),x45494),f295(f295(f7(a1,a902,a902),f295(f295(f8(a902,f911(a902,a902),a1),f83(a902)),a111)),x45495))),f295(f295(f8(a902,x45491,a1),f171(x45491,x45493,x45494)),f295(f295(f7(a1,a902,a902),f295(f295(f8(a902,f911(a902,a902),a1),f83(a902)),a111)),x45495))))),f295(f171(x45491,x45493,x45494),f295(f295(f83(a902),f295(f110(a902),x45492)),x45495))) % 192.26/192.33 [4601]E(f295(f212(f910(x46011,x46012)),f295(f228(x46011,x46012,a897),f295(f295(f8(f911(x46012,f911(x46013,a897)),f911(x46012,a897),x46011),f295(f8(f911(x46013,a897),a897,x46012),f90(x46013))),f295(f295(f7(x46011,f911(x46012,f911(x46013,a897)),f911(x46012,f911(x46013,a897))),f295(f295(f8(f911(f911(x46013,a897),f911(x46013,a897)),f911(f911(x46012,f911(x46013,a897)),f911(x46012,f911(x46013,a897))),x46011),f8(f911(x46013,a897),f911(x46013,a897),x46012)),f295(f295(f8(f911(x46013,f911(a897,a897)),f911(f911(x46013,a897),f911(x46013,a897)),x46011),f18(x46013,a897,a897)),f295(f295(f8(f911(x46013,a897),f911(x46013,f911(a897,a897)),x46011),f295(f8(a897,f911(a897,a897),x46013),a293)),f295(f295(f7(x46011,f911(f910(x46011,x46013),a897),f911(x46013,a897)),f295(f295(f8(f911(x46013,f911(f911(f910(x46011,x46013),a897),a897)),f911(f911(f910(x46011,x46013),a897),f911(x46013,a897)),x46011),f7(x46013,f911(f910(x46011,x46013),a897),a897)),f295(f295(f8(f911(x46013,f910(x46011,x46013)),f911(x46013,f911(f911(f910(x46011,x46013),a897),a897)),x46011),f295(f8(f910(x46011,x46013),f911(f911(f910(x46011,x46013),a897),a897),x46013),f297(f910(x46011,x46013)))),f217(x46011,x46013)))),x46014))))),f295(f295(f7(x46012,f911(f910(x46013,x46012),a897),f911(x46013,a897)),f295(f295(f8(f911(x46013,f911(f911(f910(x46013,x46012),a897),a897)),f911(f911(f910(x46013,x46012),a897),f911(x46013,a897)),x46012),f7(x46013,f911(f910(x46013,x46012),a897),a897)),f295(f295(f8(f911(x46013,f910(x46013,x46012)),f911(x46013,f911(f911(f910(x46013,x46012),a897),a897)),x46012),f295(f8(f910(x46013,x46012),f911(f911(f910(x46013,x46012),a897),a897),x46013),f297(f910(x46013,x46012)))),f295(f7(x46013,x46012,f910(x46013,x46012)),f217(x46013,x46012))))),x46015))))),f295(f295(f255(x46011,x46013,x46012),x46014),x46015)) % 192.26/192.33 [4697]~E(f28(x46971,x46972,x46973),f30(x46974,x46975,x46976)) % 192.26/192.33 [4700]~E(f29(x47001,x47002,x47003),f30(x47004,x47005,x47006)) % 192.26/192.33 [4701]~E(f29(x47011,x47012,x47013),f28(x47014,x47015,x47016)) % 192.26/192.33 [4347]E(f76(x43471,x43472,f76(x43471,x43472,x43473,x43474,x43475),x43474,x43476),f76(x43471,x43472,x43473,x43474,x43476)) % 192.26/192.33 [4454]E(f295(f295(f74(f910(x44541,x44542),x44542,f910(x44543,x44544)),f227(x44541,x44542)),f229(x44543,x44541,x44544,x44542,x44545,x44546)),f295(f295(f74(x44544,x44542,f910(x44543,x44544)),x44546),f227(x44543,x44544))) % 192.26/192.33 [4455]E(f295(f295(f74(f910(x44551,x44552),x44551,f910(x44553,x44554)),f216(x44551,x44552)),f229(x44553,x44551,x44554,x44552,x44555,x44556)),f295(f295(f74(x44553,x44551,f910(x44553,x44554)),x44555),f216(x44553,x44554))) % 192.26/192.33 [4569]P1(f295(f295(f235(x45691,x45692,f911(f911(x45691,x45693),x45693),f911(f911(x45692,x45694),x45694),x45695,f235(f911(x45691,x45693),f911(x45692,x45694),x45693,x45694,f235(x45691,x45692,x45693,x45694,x45695,x45696),x45696)),f89(x45691,x45693)),f89(x45692,x45694))) % 192.26/192.33 [4036]E(f101(x40361,x40362,x40363,f98(x40361,x40364,x40365,x40366)),f295(f295(f295(x40363,x40364),x40365),x40366)) % 192.26/192.33 [4037]E(f102(x40371,x40372,x40373,f98(x40371,x40374,x40375,x40376)),f295(f295(f295(x40373,x40374),x40375),x40376)) % 192.26/192.33 [3894]E(f295(f295(f228(x38941,x38942,x38943),x38944),f295(f295(f217(x38941,x38942),x38945),x38946)),f295(f295(x38944,x38945),x38946)) % 192.26/192.33 [3947]E(f295(f295(f295(f8(x39471,x39472,x39473),x39474),x39475),x39476),f295(x39474,f295(x39475,x39476))) % 192.26/192.33 [3949]E(f295(f295(f295(f74(x39491,x39492,x39493),x39494),x39495),x39496),f295(x39494,f295(x39495,x39496))) % 192.26/192.33 [3950]E(f295(f295(f295(f7(x39501,x39502,x39503),x39504),x39505),x39506),f295(f295(x39504,x39506),x39505)) % 192.26/192.33 [3966]E(f295(f295(f295(f18(x39661,x39662,x39663),x39664),x39665),x39666),f295(f295(x39664,x39666),f295(x39665,x39666))) % 192.26/192.33 [3986]E(f295(f145(x39861,x39862,x39863,x39864),f295(f295(f140(x39862),x39865),x39866)),f295(f295(x39864,x39865),x39866)) % 192.26/192.33 [4091]E(f295(f295(f140(f910(x40911,x40912)),f295(f295(f217(x40911,x40912),x40913),x40914)),f295(f295(f168(x40911,x40912),x40915),x40916)),f295(f295(f168(x40911,x40912),f295(f295(f140(x40911),x40913),x40915)),f295(f295(f140(x40912),x40914),x40916))) % 192.26/192.33 [4094]E(f295(f295(f143(x40941,x40942),x40943),f295(f295(f148(x40941,x40944),x40945),x40946)),f295(f295(f148(x40942,f295(f295(f143(x40941,x40942),x40943),x40944)),x40945),f295(x40943,x40946))) % 192.26/192.33 [4134]E(f295(f131(x41341,x41342,x41343,x41344),f295(f295(f140(x41342),x41345),x41346)),f295(f131(x41341,x41342,x41343,f295(f295(x41343,x41344),x41345)),x41346)) % 192.26/192.33 [4157]E(f231(x41571,x41572,x41573,x41574,f295(f295(f217(x41571,x41572),x41575),x41576)),f295(f295(x41574,x41575),x41576)) % 192.26/192.33 [4318]E(f295(f131(x43181,x43182,x43183,f295(f131(x43181,x43182,x43183,x43184),x43185)),x43186),f295(f131(x43181,x43182,x43183,x43184),f295(f295(f122(x43182),x43185),x43186))) % 192.26/192.33 [4449]E(f295(f229(x44491,x44491,x44492,x44493,f36(x44491),x44494),f295(f295(f217(x44491,x44492),x44495),x44496)),f295(f295(f217(x44491,x44493),x44495),f295(x44494,x44496))) % 192.26/192.33 [4450]E(f295(f229(x44501,x44502,x44503,x44503,x44504,f36(x44503)),f295(f295(f217(x44501,x44503),x44505),x44506)),f295(f295(f217(x44502,x44503),f295(x44504,x44505)),x44506)) % 192.26/192.33 [4535]E(f295(f295(f143(f910(x45351,x45352),f910(x45351,x45353)),f295(f228(x45351,x45352,f910(x45351,x45353)),f295(f295(f7(x45351,f911(x45352,x45353),f911(x45352,f910(x45351,x45353))),f295(f295(f8(f911(x45353,f910(x45351,x45353)),f911(f911(x45352,x45353),f911(x45352,f910(x45351,x45353))),x45351),f8(x45353,f910(x45351,x45353),x45352)),f217(x45351,x45353))),x45354))),f295(f295(f168(x45351,x45352),x45355),x45356)),f295(f295(f168(x45351,x45353),x45355),f295(f295(f143(x45352,x45353),x45354),x45356))) % 192.26/192.33 [4035]E(f295(f295(f295(f74(x40351,x40352,x40353),f295(f16(x40352,x40351),x40354)),x40355),x40356),x40354) % 192.26/192.33 [4149]E(f295(f295(f143(x41491,x41492),x41493),f295(f295(f143(x41494,x41491),x41495),x41496)),f295(f295(f143(x41494,x41492),f295(f295(f74(x41491,x41492,x41494),x41493),x41495)),x41496)) % 192.26/192.33 [4174]E(f295(f276(x41741,x41742,x41743),f295(f276(x41744,x41741,x41745),x41746)),f295(f276(x41744,x41742,f295(f295(f8(x41741,x41742,x41744),x41743),x41745)),x41746)) % 192.26/192.33 [4175]E(f295(f276(x41751,x41752,f295(f295(f74(x41753,x41752,x41751),x41754),x41755)),x41756),f295(f276(x41753,x41752,x41754),f295(f276(x41751,x41753,x41755),x41756))) % 192.26/192.33 [4176]E(f295(f278(x41761,x41762,f295(f295(f74(x41763,x41762,x41761),x41764),x41765)),x41766),f295(f278(x41761,x41763,x41765),f295(f278(x41763,x41762,x41764),x41766))) % 192.26/192.33 [4183]E(f295(f295(f43(x41831,f911(x41832,a897)),f295(f276(x41833,x41831,x41834),x41835)),x41836),f295(f295(f43(x41833,f911(x41832,a897)),x41835),f295(f295(f8(x41831,f911(x41832,a897),x41833),x41836),x41834))) % 192.26/192.33 [4184]E(f295(f295(f44(x41841,f911(x41842,a897)),f295(f276(x41843,x41841,x41844),x41845)),x41846),f295(f295(f44(x41843,f911(x41842,a897)),x41845),f295(f295(f8(x41841,f911(x41842,a897),x41843),x41846),x41844))) % 192.26/192.33 [4185]E(f295(f295(f43(x41851,f911(x41852,a897)),x41853),f295(f295(f8(x41854,f911(x41852,a897),x41851),x41855),x41856)),f295(f295(f43(x41854,f911(x41852,a897)),f295(f276(x41851,x41854,x41856),x41853)),x41855)) % 192.26/192.33 [4186]E(f295(f295(f44(x41861,f911(x41862,a897)),x41863),f295(f295(f8(x41864,f911(x41862,a897),x41861),x41865),x41866)),f295(f295(f44(x41864,f911(x41862,a897)),f295(f276(x41861,x41864,x41866),x41863)),x41865)) % 192.26/192.33 [4187]E(f295(f295(f44(x41871,f911(x41872,a897)),x41873),f295(f295(f74(x41874,f911(x41872,a897),x41871),x41875),x41876)),f295(f295(f44(x41874,f911(x41872,a897)),f295(f276(x41871,x41874,x41876),x41873)),x41875)) % 192.26/192.33 [4235]E(f295(f295(f44(x42351,f911(x42352,a897)),x42353),f295(f295(f8(f911(x42354,a897),f911(x42352,a897),x42351),f276(x42354,x42352,x42355)),x42356)),f295(f276(x42354,x42352,x42355),f295(f295(f44(x42351,f911(x42354,a897)),x42353),x42356))) % 192.26/192.33 [4236]E(f295(f295(f44(x42361,f911(x42362,a897)),x42363),f295(f295(f8(f911(x42364,a897),f911(x42362,a897),x42361),f252(x42364,x42362,x42365)),x42366)),f295(f252(x42364,x42362,x42365),f295(f295(f44(x42361,f911(x42364,a897)),x42363),x42366))) % 192.26/192.33 [4237]E(f295(f295(f43(x42371,f911(x42372,a897)),x42373),f295(f295(f8(f911(x42374,a897),f911(x42372,a897),x42371),f278(x42372,x42374,x42375)),x42376)),f295(f278(x42372,x42374,x42375),f295(f295(f43(x42371,f911(x42374,a897)),x42373),x42376))) % 192.26/192.33 [4238]E(f295(f295(f44(x42381,f911(x42382,a897)),x42383),f295(f295(f8(f911(x42384,a897),f911(x42382,a897),x42381),f278(x42382,x42384,x42385)),x42386)),f295(f278(x42382,x42384,x42385),f295(f295(f44(x42381,f911(x42384,a897)),x42383),x42386))) % 192.26/192.33 [4323]E(f295(f131(x43231,x43232,f295(f7(x43232,x43231,x43231),x43233),x43234),f295(f157(x43232),f295(f295(f140(x43232),x43235),x43236))),f295(f295(x43233,x43235),f295(f131(x43231,x43232,f295(f7(x43232,x43231,x43231),x43233),x43234),f295(f157(x43232),x43236)))) % 192.26/192.33 [4377]E(f295(f295(f18(f910(x43771,x43772),x43772,x43773),f295(f295(f8(x43774,f911(x43772,x43773),f910(x43771,x43772)),x43775),f295(f295(f8(x43771,x43774,f910(x43771,x43772)),x43776),f216(x43771,x43772)))),f227(x43771,x43772)),f295(f228(x43771,x43772,x43773),f295(f295(f8(x43774,f911(x43772,x43773),x43771),x43775),x43776))) % 192.26/192.33 [4384]E(f295(f131(x43841,x43842,f295(f7(x43842,x43841,x43841),x43843),f295(f131(x43841,x43842,f295(f7(x43842,x43841,x43841),x43843),x43844),f295(f157(x43842),x43845))),f295(f157(x43842),x43846)),f295(f131(x43841,x43842,f295(f7(x43842,x43841,x43841),x43843),x43844),f295(f157(x43842),f295(f295(f122(x43842),x43846),x43845)))) % 192.26/192.33 [4386]E(f295(f295(f143(f910(x43861,x43862),f910(x43863,x43862)),f295(f228(x43861,x43862,f910(x43863,x43862)),f295(f295(f8(x43863,f911(x43862,f910(x43863,x43862)),x43861),f217(x43863,x43862)),x43864))),f295(f295(f168(x43861,x43862),x43865),x43866)),f295(f295(f168(x43863,x43862),f295(f295(f143(x43861,x43863),x43864),x43865)),x43866)) % 192.26/192.33 [4430]P1(f295(f295(f207(f911(x44301,a897)),f295(f252(x44302,x44301,x44303),f295(f295(f43(x44304,f911(x44302,a897)),x44305),x44306))),f295(f295(f43(x44304,f911(x44301,a897)),x44305),f295(f295(f8(f911(x44302,a897),f911(x44301,a897),x44304),f252(x44302,x44301,x44303)),x44306)))) % 192.26/192.33 [4249]E(f295(f295(f168(x42491,x42492),f295(f295(f148(x42491,x42493),x42494),f295(f216(x42491,x42492),x42495))),f295(f295(f148(x42492,x42496),x42494),f295(f227(x42491,x42492),x42495))),f295(f295(f148(f910(x42491,x42492),f295(f295(f168(x42491,x42492),x42493),x42496)),x42494),x42495)) % 192.26/192.33 [4307]E(f295(f295(f117(f911(f910(x43071,x43072),a897)),f295(f295(f255(x43071,x43073,x43072),x43074),x43075)),f295(f295(f255(x43071,x43073,x43072),x43074),x43076)),f295(f295(f255(x43071,x43073,x43072),x43074),f295(f295(f117(f911(f910(x43073,x43072),a897)),x43075),x43076))) % 192.26/192.33 [4395]E(f295(f295(f275(f910(x43951,x43952)),f295(f295(f217(x43951,x43952),x43953),x43954)),f295(f295(f117(f911(f910(x43951,x43952),a897)),f295(f295(f226(x43951,x43952),x43955),f295(f16(f911(x43952,a897),x43951),f295(f295(f275(x43952),x43954),x43956)))),f295(f295(f226(x43951,x43952),f295(f295(f275(x43951),x43953),x43955)),f295(f16(f911(x43952,a897),x43951),x43956)))),f295(f295(f226(x43951,x43952),f295(f295(f275(x43951),x43953),x43955)),f295(f16(f911(x43952,a897),x43951),f295(f295(f275(x43952),x43954),x43956)))) % 192.26/192.33 [4445]E(f295(f295(f108(f911(x44451,a897)),f295(f278(x44451,x44452,f295(f295(f74(f910(x44452,x44453),x44452,x44451),f216(x44452,x44453)),x44454)),x44455)),f295(f278(x44451,x44453,f295(f295(f74(f910(x44452,x44453),x44453,x44451),f227(x44452,x44453)),x44454)),x44456)),f295(f278(x44451,f910(x44452,x44453),x44454),f295(f295(f226(x44452,x44453),x44455),f295(f16(f911(x44453,a897),x44452),x44456)))) % 192.26/192.33 [4329]E(f295(f295(f117(f911(f910(x43291,x43292),a897)),f295(f295(f255(x43291,x43293,x43292),x43294),x43295)),f295(f295(f255(x43291,x43293,x43292),x43296),x43295)),f295(f295(f255(x43291,x43293,x43292),f295(f295(f117(f911(f910(x43291,x43293),a897)),x43294),x43296)),x43295)) % 192.26/192.33 [4459]E(f295(f295(f43(x44591,f911(x44592,a897)),x44593),f295(f295(f7(x44591,f911(x44594,f911(x44592,a897)),f911(x44592,a897)),f295(f295(f8(f911(x44594,a897),f911(f911(x44594,f911(x44592,a897)),f911(x44592,a897)),x44591),f43(x44594,f911(x44592,a897))),x44595)),x44596)),f295(f295(f43(x44594,f911(x44592,a897)),f295(f295(f44(x44591,f911(x44594,a897)),x44593),x44595)),x44596)) % 192.26/192.33 [4460]E(f295(f295(f44(x44601,f911(x44602,a897)),x44603),f295(f295(f7(x44601,f911(x44604,f911(x44602,a897)),f911(x44602,a897)),f295(f295(f8(f911(x44604,a897),f911(f911(x44604,f911(x44602,a897)),f911(x44602,a897)),x44601),f44(x44604,f911(x44602,a897))),x44605)),x44606)),f295(f295(f44(x44604,f911(x44602,a897)),f295(f295(f44(x44601,f911(x44604,a897)),x44603),x44605)),x44606)) % 192.26/192.33 [4506]E(f295(f228(x45061,x45062,f910(x45063,x45064)),f295(f295(f7(x45061,f911(x45062,x45064),f911(x45062,f910(x45063,x45064))),f295(f295(f8(f911(x45064,f910(x45063,x45064)),f911(f911(x45062,x45064),f911(x45062,f910(x45063,x45064))),x45061),f8(x45064,f910(x45063,x45064),x45062)),f295(f295(f8(x45063,f911(x45064,f910(x45063,x45064)),x45061),f217(x45063,x45064)),x45065))),x45066)),f229(x45061,x45063,x45062,x45064,x45065,x45066)) % 192.26/192.33 [4532]E(f295(f276(x45321,x45322,f295(f295(f18(x45321,x45322,x45322),f295(f295(f18(x45321,x45322,f911(x45322,x45322)),f295(f295(f8(a897,f911(x45322,f911(x45322,x45322)),x45321),f103(x45322)),x45323)),x45324)),x45325)),x45326),f295(f295(f117(f911(x45322,a897)),f295(f276(x45321,x45322,x45324),f295(f295(f108(f911(x45321,a897)),x45326),f295(f212(x45321),x45323)))),f295(f276(x45321,x45322,x45325),f295(f295(f108(f911(x45321,a897)),x45326),f295(f212(x45321),f295(f295(f8(a897,a897,x45321),a291),x45323)))))) % 192.26/192.33 [4541]E(f295(f276(x45411,f910(x45412,x45413),f295(f295(f18(x45411,x45413,f910(x45412,x45413)),f295(f295(f8(x45412,f911(x45413,f910(x45412,x45413)),x45411),f217(x45412,x45413)),x45414)),x45415)),x45416),f295(f295(f226(x45412,x45413),f295(f276(x45411,x45412,x45414),x45416)),f295(f295(f8(f911(x45411,a897),f911(x45413,a897),x45412),f276(x45411,x45413,x45415)),f295(f295(f7(x45412,f911(x45411,a897),f911(x45411,a897)),f295(f295(f8(f911(x45411,a897),f911(f911(x45411,a897),f911(x45411,a897)),x45412),f108(f911(x45411,a897))),f295(f295(f8(f911(x45412,a897),f911(x45411,a897),x45412),f278(x45411,x45412,x45414)),f295(f295(f7(x45412,f911(x45412,a897),f911(x45412,a897)),f275(x45412)),f176(f911(x45412,a897)))))),x45416)))) % 192.26/192.33 [4567]E(f220(x45671,x45672,x45673,x45674,x45675,x45676),f295(x45674,f295(f212(x45671),f295(f295(f8(f911(f911(x45673,x45671),a897),a897,x45671),f90(f911(x45673,x45671))),f295(f295(f8(f911(f911(x45673,x45671),a897),f911(f911(x45673,x45671),a897),x45671),f295(f18(f911(x45673,x45671),a897,a897),f295(f295(f8(a897,f911(a897,a897),f911(x45673,x45671)),a293),f295(f295(f7(f911(x45673,x45671),f911(f911(x45673,x45671),a897),a897),f297(f911(x45673,x45671))),x45675)))),f295(f295(f7(x45671,f911(f911(x45673,x45671),x45671),f911(f911(x45673,x45671),a897)),f295(f295(f8(f911(x45671,a897),f911(f911(f911(x45673,x45671),x45671),f911(f911(x45673,x45671),a897)),x45671),f8(x45671,a897,f911(x45673,x45671))),a292)),f295(f295(f7(f911(x45673,x45671),x45673,x45671),f5(f911(x45673,x45671))),x45676))))))) % 192.26/192.33 [4341]E(f295(f295(f74(x43411,x43412,x43413),x43414),f76(x43413,x43411,x43415,x43416,x43417)),f76(x43413,x43412,f295(f295(f74(x43411,x43412,x43413),x43414),x43415),x43416,f295(x43414,x43417))) % 192.26/192.33 [4490]E(f295(f227(x44901,x44902),f295(f229(x44903,x44901,x44904,x44902,x44905,x44906),x44907)),f295(x44906,f295(f227(x44903,x44904),x44907))) % 192.26/192.33 [4491]E(f295(f216(x44911,x44912),f295(f229(x44913,x44911,x44914,x44912,x44915,x44916),x44917)),f295(x44915,f295(f216(x44913,x44914),x44917))) % 192.26/192.33 [4216]E(f295(f295(f168(x42161,x42162),f295(f295(f148(x42161,x42163),x42164),x42165)),f295(f295(f148(x42162,x42166),x42164),x42167)),f295(f295(f148(f910(x42161,x42162),f295(f295(f168(x42161,x42162),x42163),x42166)),x42164),f295(f295(f217(x42161,x42162),x42165),x42167))) % 192.26/192.33 [4281]E(f295(f295(f295(f230(x42811,x42812,x42813,x42814),x42815),x42816),x42817),f295(f295(f228(x42812,x42813,x42814),x42816),f295(x42815,x42817))) % 192.26/192.33 [4290]E(f295(f295(f295(f230(x42901,x42902,x42903,x42904),x42905),x42906),x42907),f295(f295(x42906,f295(f216(x42902,x42903),f295(x42905,x42907))),f295(f227(x42902,x42903),f295(x42905,x42907)))) % 192.26/192.33 [4510]E(f295(f229(x45101,x45102,x45103,x45103,x45104,f36(x45103)),f295(f229(x45101,x45101,x45105,x45103,f36(x45101),x45106),x45107)),f295(f295(f217(x45102,x45103),f295(x45104,f295(f216(x45101,x45105),x45107))),f295(x45106,f295(f227(x45101,x45105),x45107)))) % 192.26/192.33 [4511]E(f295(f229(x45111,x45111,x45112,x45113,f36(x45111),x45114),f295(f229(x45115,x45111,x45112,x45112,x45116,f36(x45112)),x45117)),f295(f295(f217(x45111,x45113),f295(x45116,f295(f216(x45115,x45112),x45117))),f295(x45114,f295(f227(x45115,x45112),x45117)))) % 192.26/192.33 [4527]E(f295(f229(x45271,x45272,x45273,x45273,x45274,f36(x45273)),f295(f229(x45275,x45271,x45273,x45273,x45276,f36(x45273)),x45277)),f295(f229(x45275,x45272,x45273,x45273,f295(f295(f74(x45271,x45272,x45275),x45274),x45276),f36(x45273)),x45277)) % 192.26/192.33 [4538]E(f295(f229(x45381,x45382,x45383,x45383,x45384,f36(x45383)),f295(f229(x45381,x45381,x45385,x45383,f36(x45381),x45386),x45387)),f295(f229(x45382,x45382,x45385,x45383,f36(x45382),x45386),f295(f229(x45381,x45382,x45385,x45385,x45384,f36(x45385)),x45387))) % 192.26/192.33 [4245]E(f295(f295(f74(x42451,x42452,x42453),x42454),f295(f295(f74(x42455,x42451,x42453),x42456),x42457)),f295(f295(f74(x42455,x42452,x42453),f295(f295(f74(x42451,x42452,x42455),x42454),x42456)),x42457)) % 192.26/192.33 [4246]E(f295(f295(f255(x42461,x42462,x42463),f295(f295(f255(x42461,x42464,x42462),x42465),x42466)),x42467),f295(f295(f255(x42461,x42464,x42463),x42465),f295(f295(f255(x42464,x42462,x42463),x42466),x42467))) % 192.26/192.33 [4358]E(f295(f131(x43581,x43582,f295(f7(x43582,x43581,x43581),x43583),x43584),f295(f157(x43582),f295(f295(f143(x43585,x43582),x43586),x43587))),f295(f131(x43581,x43585,f295(f7(x43585,x43581,x43581),f295(f295(f74(x43582,f911(x43581,x43581),x43585),x43583),x43586)),x43584),f295(f157(x43585),x43587))) % 192.26/192.33 [4462]E(f295(f295(f74(x44621,x44622,x44623),f295(f295(f74(x44624,x44622,x44621),x44625),x44626)),x44627),f295(f79(x44623,x44621,x44624,x44622,x44627,x44625),x44626)) % 192.26/192.33 [4528]E(f295(f229(x45281,x45281,x45282,x45283,f36(x45281),x45284),f295(f229(x45281,x45281,x45285,x45282,f36(x45281),x45286),x45287)),f295(f229(x45281,x45281,x45285,x45283,f36(x45281),f295(f295(f74(x45282,x45283,x45285),x45284),x45286)),x45287)) % 192.26/192.33 [4263]E(f295(f295(f228(x42631,x42632,x42633),f295(f295(f74(x42634,f911(x42632,x42633),x42631),x42635),x42636)),x42637),f295(f295(x42635,f295(x42636,f295(f216(x42631,x42632),x42637))),f295(f227(x42631,x42632),x42637))) % 192.26/192.33 [4337]E(f295(f295(f44(x43371,f911(f910(x43372,x43373),a897)),x43374),f295(f295(f8(f911(f910(x43375,x43373),a897),f911(f910(x43372,x43373),a897),x43371),f295(f255(x43372,x43375,x43373),x43376)),x43377)),f295(f295(f255(x43372,x43375,x43373),x43376),f295(f295(f44(x43371,f911(f910(x43375,x43373),a897)),x43374),x43377))) % 192.26/192.33 [4477]E(f295(f295(f44(x44771,f911(f910(x44772,x44773),a897)),x44774),f295(f295(f7(x44771,f911(f910(x44775,x44773),a897),f911(f910(x44772,x44773),a897)),f295(f295(f8(f911(f910(x44772,x44775),a897),f911(f911(f910(x44775,x44773),a897),f911(f910(x44772,x44773),a897)),x44771),f255(x44772,x44775,x44773)),x44776)),x44777)),f295(f295(f255(x44772,x44775,x44773),f295(f295(f44(x44771,f911(f910(x44772,x44775),a897)),x44774),x44776)),x44777)) % 192.26/192.33 [4478]E(f295(f131(x44781,x44782,f295(f295(f7(x44781,f911(x44782,x44783),f911(x44782,x44781)),f295(f295(f8(f911(x44783,x44781),f911(f911(x44782,x44783),f911(x44782,x44781)),x44781),f8(x44783,x44781,x44782)),x44784)),x44785),x44786),x44787),f295(f131(x44781,x44783,x44784,x44786),f295(f295(f143(x44782,x44783),x44785),x44787))) % 192.26/192.33 [4539]E(f295(f295(f43(x45391,f911(x45392,a897)),x45393),f295(f295(f8(f911(x45394,f911(x45392,a897)),f911(x45392,a897),x45391),f295(f43(x45394,f911(x45392,a897)),x45395)),f295(f295(f7(x45391,f911(x45394,f911(x45392,a897)),f911(x45394,f911(x45392,a897))),f295(f295(f8(f911(f911(x45392,a897),f911(x45392,a897)),f911(f911(x45394,f911(x45392,a897)),f911(x45394,f911(x45392,a897))),x45391),f8(f911(x45392,a897),f911(x45392,a897),x45394)),f295(f295(f8(f911(x45392,a897),f911(f911(x45392,a897),f911(x45392,a897)),x45391),f117(f911(x45392,a897))),x45396))),x45397))),f295(f295(f117(f911(x45392,a897)),f295(f295(f43(x45391,f911(x45392,a897)),x45393),x45396)),f295(f295(f43(x45394,f911(x45392,a897)),x45395),x45397))) % 192.26/192.33 [4540]E(f295(f295(f44(x45401,f911(x45402,a897)),x45403),f295(f295(f8(f911(x45404,f911(x45402,a897)),f911(x45402,a897),x45401),f295(f44(x45404,f911(x45402,a897)),x45405)),f295(f295(f7(x45401,f911(x45404,f911(x45402,a897)),f911(x45404,f911(x45402,a897))),f295(f295(f8(f911(f911(x45402,a897),f911(x45402,a897)),f911(f911(x45404,f911(x45402,a897)),f911(x45404,f911(x45402,a897))),x45401),f8(f911(x45402,a897),f911(x45402,a897),x45404)),f295(f295(f8(f911(x45402,a897),f911(f911(x45402,a897),f911(x45402,a897)),x45401),f108(f911(x45402,a897))),x45406))),x45407))),f295(f295(f108(f911(x45402,a897)),f295(f295(f44(x45401,f911(x45402,a897)),x45403),x45406)),f295(f295(f44(x45404,f911(x45402,a897)),x45405),x45407))) % 192.26/192.33 [4489]E(f295(f295(f79(x44891,x44892,x44893,x44894,x44895,x44896),x44897),x44898),f295(x44896,f295(x44897,f295(x44895,x44898)))) % 192.26/192.33 [4451]E(f295(f229(x44511,x44512,x44513,x44514,x44515,x44516),f295(f295(f217(x44511,x44513),x44517),x44518)),f295(f295(f217(x44512,x44514),f295(x44515,x44517)),f295(x44516,x44518))) % 192.26/192.33 [4548]E(f295(f295(f143(f910(x45481,x45482),f910(x45483,x45484)),f295(f228(x45481,x45482,f910(x45483,x45484)),f295(f295(f7(x45481,f911(x45482,x45484),f911(x45482,f910(x45483,x45484))),f295(f295(f8(f911(x45484,f910(x45483,x45484)),f911(f911(x45482,x45484),f911(x45482,f910(x45483,x45484))),x45481),f8(x45484,f910(x45483,x45484),x45482)),f295(f295(f8(x45483,f911(x45484,f910(x45483,x45484)),x45481),f217(x45483,x45484)),x45485))),x45486))),f295(f295(f168(x45481,x45482),x45487),x45488)),f295(f295(f168(x45483,x45484),f295(f295(f143(x45481,x45483),x45485),x45487)),f295(f295(f143(x45482,x45484),x45486),x45488))) % 192.26/192.33 [4553]E(f295(f295(f143(f910(x45531,x45532),x45533),f295(f228(x45531,x45532,x45533),f295(f295(f8(f911(x45532,f910(x45531,x45534)),f911(x45532,x45533),x45531),f295(f8(f910(x45531,x45534),x45533,x45532),x45535)),f295(f295(f7(x45531,f911(x45532,x45534),f911(x45532,f910(x45531,x45534))),f295(f295(f8(f911(x45534,f910(x45531,x45534)),f911(f911(x45532,x45534),f911(x45532,f910(x45531,x45534))),x45531),f8(x45534,f910(x45531,x45534),x45532)),f217(x45531,x45534))),x45536)))),f295(f295(f168(x45531,x45532),x45537),x45538)),f295(f295(f143(f910(x45531,x45534),x45533),x45535),f295(f295(f168(x45531,x45534),x45537),f295(f295(f143(x45532,x45534),x45536),x45538)))) % 192.26/192.33 [4481]E(f295(f295(f143(f910(x44811,x44812),x44813),f295(f228(x44811,x44812,x44813),f295(f295(f8(f911(x44812,f910(x44814,x44812)),f911(x44812,x44813),x44811),f295(f8(f910(x44814,x44812),x44813,x44812),x44815)),f295(f295(f8(x44814,f911(x44812,f910(x44814,x44812)),x44811),f217(x44814,x44812)),x44816)))),f295(f295(f168(x44811,x44812),x44817),x44818)),f295(f295(f143(f910(x44814,x44812),x44813),x44815),f295(f295(f168(x44814,x44812),f295(f295(f143(x44811,x44814),x44816),x44817)),x44818))) % 192.26/192.33 [4440]E(f295(f295(f228(x44401,x44402,x44403),f295(f295(f8(f911(x44402,f910(x44404,x44405)),f911(x44402,x44403),x44401),f295(f8(f910(x44404,x44405),x44403,x44402),f295(f228(x44404,x44405,x44403),x44406))),x44407)),x44408),f295(f295(f228(x44404,x44405,x44403),x44406),f295(f295(f228(x44401,x44402,f910(x44404,x44405)),x44407),x44408))) % 192.26/192.33 [4554]E(f295(f295(f44(f910(x45541,x45542),f911(f910(x45543,x45544),a897)),f295(f295(f226(x45541,x45542),x45545),f295(f16(f911(x45542,a897),x45541),x45546))),f295(f228(x45541,x45542,f911(f910(x45543,x45544),a897)),f295(f295(f7(x45541,f911(x45542,f911(x45543,f911(x45544,a897))),f911(x45542,f911(f910(x45543,x45544),a897))),f295(f295(f8(f911(f911(x45543,f911(x45544,a897)),f911(f910(x45543,x45544),a897)),f911(f911(x45542,f911(x45543,f911(x45544,a897))),f911(x45542,f911(f910(x45543,x45544),a897))),x45541),f8(f911(x45543,f911(x45544,a897)),f911(f910(x45543,x45544),a897),x45542)),f295(f295(f8(f911(x45543,a897),f911(f911(x45543,f911(x45544,a897)),f911(f910(x45543,x45544),a897)),x45541),f226(x45543,x45544)),x45547))),f295(f295(f8(f911(x45544,a897),f911(x45543,f911(x45544,a897)),x45542),f16(f911(x45544,a897),x45543)),x45548)))),f295(f295(f226(x45543,x45544),f295(f295(f44(x45541,f911(x45543,a897)),x45545),x45547)),f295(f16(f911(x45544,a897),x45543),f295(f295(f44(x45542,f911(x45544,a897)),x45546),x45548)))) % 192.26/192.33 [4586]E(f34(x45861,x45862,x45863,x45864,x45865,x45866,x45867,x45868,x45869,a25),x45862) % 192.26/192.33 [4587]E(f35(x45871,x45872,x45873,x45874,x45875,x45876,x45877,x45878,x45879,a25),x45872) % 192.26/192.33 [4577]P1(f295(f295(f235(f911(x45771,x45772),f911(x45773,x45774),f911(f911(x45775,x45771),f911(x45775,x45772)),f911(f911(x45776,x45773),f911(x45776,x45774)),f235(x45771,x45773,x45772,x45774,x45777,x45778),f235(f911(x45775,x45771),f911(x45776,x45773),f911(x45775,x45772),f911(x45776,x45774),f235(x45775,x45776,x45771,x45773,x45779,x45777),f235(x45775,x45776,x45772,x45774,x45779,x45778))),f74(x45771,x45772,x45775)),f74(x45773,x45774,x45776))) % 192.26/192.33 [4495]E(f295(f295(f230(x44951,x44952,x44953,x44954),f295(f295(f230(x44951,x44955,x44956,f910(x44952,x44953)),x44957),x44958)),x44959),f295(f295(f230(x44951,x44955,x44956,x44954),x44957),f295(f295(f7(x44955,f911(x44952,f911(x44953,x44954)),f911(x44956,x44954)),f295(f295(f8(f911(x44956,f910(x44952,x44953)),f911(f911(x44952,f911(x44953,x44954)),f911(x44956,x44954)),x44955),f230(x44956,x44952,x44953,x44954)),x44958)),x44959))) % 192.26/192.33 [4588]E(f34(x45881,x45882,x45883,x45884,x45885,x45886,x45887,x45888,x45889,f26(x458810)),f295(x45888,x458810)) % 192.26/192.33 [4589]E(f35(x45891,x45892,x45893,x45894,x45895,x45896,x45897,x45898,x45899,f26(x458910)),f295(x45898,x458910)) % 192.26/192.33 [4523]E(f295(f295(f74(f911(x45231,x45232),f911(x45233,x45234),f911(x45235,x45236)),f79(x45233,x45231,x45232,x45234,x45237,x45238)),f79(x45231,x45235,x45236,x45232,x45239,x452310)),f79(x45233,x45235,x45236,x45234,f295(f295(f74(x45231,x45235,x45233),x45239),x45237),f295(f295(f74(x45232,x45234,x45236),x45238),x452310))) % 192.26/192.33 [4524]E(f295(f295(f74(f910(x45241,x45242),f910(x45243,x45244),f910(x45245,x45246)),f229(x45241,x45243,x45242,x45244,x45247,x45248)),f229(x45245,x45241,x45246,x45242,x45249,x452410)),f229(x45245,x45243,x45246,x45244,f295(f295(f74(x45241,x45243,x45245),x45247),x45249),f295(f295(f74(x45242,x45244,x45246),x45248),x452410))) % 192.26/192.33 [4590]E(f34(x45901,x45902,x45903,x45904,x45905,x45906,x45907,x45908,x45909,f33(x459010,x459011)),f295(f295(x45905,x459010),x459011)) % 192.26/192.33 [4591]E(f34(x45911,x45912,x45913,x45914,x45915,x45916,x45917,x45918,x45919,f27(x459110,x459111)),f295(f295(x45913,x459110),x459111)) % 192.26/192.33 [4592]E(f34(x45921,x45922,x45923,x45924,x45925,x45926,x45927,x45928,x45929,f32(x459210,x459211)),f295(f295(x45927,x459210),x459211)) % 192.26/192.33 [4593]E(f35(x45931,x45932,x45933,x45934,x45935,x45936,x45937,x45938,x45939,f27(x459310,x459311)),f295(f295(x45933,x459310),x459311)) % 192.26/192.33 [4599]E(f295(f295(f295(x45991,x45992),x45993),f35(x45994,x45995,x45996,x45997,x45998,x45999,x45991,x459910,x459911,x45993)),f35(x45994,x45995,x45996,x45997,x45998,x45999,x45991,x459910,x459911,f32(x45992,x45993))) % 192.26/192.33 [4603]E(f295(f295(f295(f295(x46031,x46032),x46033),f35(x46034,x46035,x46036,x46037,x46031,x46038,x46039,x460310,x460311,x46032)),f35(x46034,x46035,x46036,x46037,x46031,x46038,x46039,x460310,x460311,x46033)),f35(x46034,x46035,x46036,x46037,x46031,x46038,x46039,x460310,x460311,f33(x46032,x46033))) % 192.26/192.33 [4530]E(f295(f79(x45301,x45302,x45303,x45304,x45305,x45306),f295(f79(x45302,x45307,x45308,x45303,x45309,x453010),x453011)),f295(f79(x45301,x45307,x45308,x45304,f295(f295(f74(x45302,x45307,x45301),x45309),x45305),f295(f295(f74(x45303,x45304,x45308),x45306),x453010)),x453011)) % 192.26/192.33 [4531]E(f295(f229(x45311,x45312,x45313,x45314,x45315,x45316),f295(f229(x45317,x45311,x45318,x45313,x45319,x453110),x453111)),f295(f229(x45317,x45312,x45318,x45314,f295(f295(f74(x45311,x45312,x45317),x45315),x45319),f295(f295(f74(x45313,x45314,x45318),x45316),x453110)),x453111)) % 192.26/192.33 [4600]E(f295(f295(f295(f295(x46001,x46002),x46003),x46004),f35(x46005,x46006,x46007,x46001,x46008,x46009,x460010,x460011,x460012,x46004)),f35(x46005,x46006,x46007,x46001,x46008,x46009,x460010,x460011,x460012,f29(x46002,x46003,x46004))) % 192.26/192.33 [4604]E(f295(f295(f295(f295(f295(x46041,x46042),x46043),x46044),f35(x46045,x46046,x46047,x46048,x46049,x46041,x460410,x460411,x460412,x46043)),f35(x46045,x46046,x46047,x46048,x46049,x46041,x460410,x460411,x460412,x46044)),f35(x46045,x46046,x46047,x46048,x46049,x46041,x460410,x460411,x460412,f30(x46042,x46043,x46044))) % 192.26/192.33 [4594]E(f34(x45941,x45942,x45943,x45944,x45945,x45946,x45947,x45948,x45949,f30(x459410,x459411,x459412)),f295(f295(f295(x45946,x459410),x459411),x459412)) % 192.26/192.33 [4595]E(f34(x45951,x45952,x45953,x45954,x45955,x45956,x45957,x45958,x45959,f28(x459510,x459511,x459512)),f295(f295(f295(x45959,x459510),x459511),x459512)) % 192.26/192.33 [4596]E(f34(x45961,x45962,x45963,x45964,x45965,x45966,x45967,x45968,x45969,f29(x459610,x459611,x459612)),f295(f295(f295(x45964,x459610),x459611),x459612)) % 192.26/192.33 [4597]E(f35(x45971,x45972,x45973,x45974,x45975,x45976,x45977,x45978,x45979,f28(x459710,x459711,x459712)),f295(f295(f295(x45979,x459710),x459711),x459712)) % 192.26/192.33 [10456]~P1(f101(a896,a897,f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a898,f911(f911(a896,f911(a899,a897)),a897)),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,a897)),f911(f911(a896,f911(a899,a897)),a897),a898),f295(f8(f911(a896,a897),a897,f911(a896,f911(a899,a897))),f91(a896)))),f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,a897)),a898),f295(f8(f911(a896,f911(a899,a897)),f911(a896,a897),f911(a896,f911(a899,a897))),f295(f8(f911(a899,a897),a897,a896),f91(a899))))),f295(f295(f7(f911(a896,f911(a899,a897)),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f295(f295(f8(f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f911(a896,f911(a899,a897))),f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898)),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a896,f911(a899,a897))),f8(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f295(f295(f8(f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(a896,f911(a899,a897))),f18(a896,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a896,f911(a899,f911(a897,a897))),f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a896),f18(a899,a897,a897))),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a896),f295(f8(a897,f911(a897,a897),a899),a298))))))),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898),f295(f8(f911(a896,f911(a899,f911(a899,a897))),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a899,a897)),f911(a899,a897),a896),f295(f8(f911(a899,a897),a897,a899),f91(a899))))),f295(f295(f8(f911(f911(a899,a897),f911(a899,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),a898),f8(f911(a899,a897),f911(a899,f911(a899,a897)),a896)),f295(f295(f8(f911(a899,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a899,a897),f911(a899,f911(a899,a897))),a898),f7(a899,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a899,f911(a899,f911(a897,a897))),f911(a899,f911(f911(a899,a897),f911(a899,a897))),a898),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a899),f18(a899,a897,a897))),f295(f295(f8(f911(a899,f911(a899,a897)),f911(a899,f911(a899,f911(a897,a897))),a898),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a899),f295(f8(a897,f911(a897,a897),a899),a298))),f295(f295(f7(a898,a902,f911(a899,f911(a899,a897))),f295(f295(f8(f911(a899,f911(a902,f911(a899,a897))),f911(a902,f911(a899,f911(a899,a897))),a898),f7(a899,a902,f911(a899,a897))),a184)),a915))))))))),f98(a896,a914,a916,a913)))+P1(f295(f295(a914,a843),a844)) % 192.26/192.33 [10457]~P1(f295(f295(a913,a843),a845))+~P1(f101(a896,a897,f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a898,f911(f911(a896,f911(a899,a897)),a897)),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,a897)),f911(f911(a896,f911(a899,a897)),a897),a898),f295(f8(f911(a896,a897),a897,f911(a896,f911(a899,a897))),f91(a896)))),f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,a897)),a898),f295(f8(f911(a896,f911(a899,a897)),f911(a896,a897),f911(a896,f911(a899,a897))),f295(f8(f911(a899,a897),a897,a896),f91(a899))))),f295(f295(f7(f911(a896,f911(a899,a897)),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f295(f295(f8(f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f911(a896,f911(a899,a897))),f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898)),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a896,f911(a899,a897))),f8(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f295(f295(f8(f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(a896,f911(a899,a897))),f18(a896,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a896,f911(a899,f911(a897,a897))),f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a896),f18(a899,a897,a897))),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a896),f295(f8(a897,f911(a897,a897),a899),a298))))))),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898),f295(f8(f911(a896,f911(a899,f911(a899,a897))),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a899,a897)),f911(a899,a897),a896),f295(f8(f911(a899,a897),a897,a899),f91(a899))))),f295(f295(f8(f911(f911(a899,a897),f911(a899,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),a898),f8(f911(a899,a897),f911(a899,f911(a899,a897)),a896)),f295(f295(f8(f911(a899,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a899,a897),f911(a899,f911(a899,a897))),a898),f7(a899,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a899,f911(a899,f911(a897,a897))),f911(a899,f911(f911(a899,a897),f911(a899,a897))),a898),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a899),f18(a899,a897,a897))),f295(f295(f8(f911(a899,f911(a899,a897)),f911(a899,f911(a899,f911(a897,a897))),a898),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a899),f295(f8(a897,f911(a897,a897),a899),a298))),f295(f295(f7(a898,a902,f911(a899,f911(a899,a897))),f295(f295(f8(f911(a899,f911(a902,f911(a899,a897))),f911(a902,f911(a899,f911(a899,a897))),a898),f7(a899,a902,f911(a899,a897))),a184)),a915))))))))),f98(a896,a914,a916,a913))) % 192.26/192.33 [10458]P1(f295(f295(f295(f295(a184,a916),a844),a915),a845))+~P1(f101(a896,a897,f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a898,f911(f911(a896,f911(a899,a897)),a897)),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,a897)),f911(f911(a896,f911(a899,a897)),a897),a898),f295(f8(f911(a896,a897),a897,f911(a896,f911(a899,a897))),f91(a896)))),f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,a897)),a898),f295(f8(f911(a896,f911(a899,a897)),f911(a896,a897),f911(a896,f911(a899,a897))),f295(f8(f911(a899,a897),a897,a896),f91(a899))))),f295(f295(f7(f911(a896,f911(a899,a897)),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f295(f295(f8(f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f911(a896,f911(a899,a897))),f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898)),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a896,f911(a899,a897))),f8(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f295(f295(f8(f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(a896,f911(a899,a897))),f18(a896,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a896,f911(a899,f911(a897,a897))),f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a896),f18(a899,a897,a897))),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a896),f295(f8(a897,f911(a897,a897),a899),a298))))))),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898),f295(f8(f911(a896,f911(a899,f911(a899,a897))),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a899,a897)),f911(a899,a897),a896),f295(f8(f911(a899,a897),a897,a899),f91(a899))))),f295(f295(f8(f911(f911(a899,a897),f911(a899,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),a898),f8(f911(a899,a897),f911(a899,f911(a899,a897)),a896)),f295(f295(f8(f911(a899,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a899,a897),f911(a899,f911(a899,a897))),a898),f7(a899,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a899,f911(a899,f911(a897,a897))),f911(a899,f911(f911(a899,a897),f911(a899,a897))),a898),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a899),f18(a899,a897,a897))),f295(f295(f8(f911(a899,f911(a899,a897)),f911(a899,f911(a899,f911(a897,a897))),a898),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a899),f295(f8(a897,f911(a897,a897),a899),a298))),f295(f295(f7(a898,a902,f911(a899,f911(a899,a897))),f295(f295(f8(f911(a899,f911(a902,f911(a899,a897))),f911(a902,f911(a899,f911(a899,a897))),a898),f7(a899,a902,f911(a899,a897))),a184)),a915))))))))),f98(a896,a914,a916,a913))) % 192.26/192.33 [4729]~P68(x47291)+P68(f907(x47291)) % 192.26/192.33 [4730]~P71(x47301)+P71(f907(x47301)) % 192.26/192.33 [4733]~P151(x47331)+~E(f81(x47331),f2(x47331)) % 192.26/192.33 [4735]~E(x47351,f2(a106))+E(f295(a21,x47351),f2(a1)) % 192.26/192.33 [4736]~E(x47361,f2(a1))+E(f85(a1,x47361),f2(a1)) % 192.26/192.33 [4742]~P118(x47421)+P27(x47421,f2(x47421)) % 192.26/192.33 [4744]~P114(x47441)+P12(x47441,f120(x47441)) % 192.26/192.33 [4753]P1(x47531)+P1(f295(a291,x47531)) % 192.26/192.33 [4809]~P118(x48091)+~P27(x48091,f81(x48091)) % 192.26/192.33 [4853]~P1(x48531)+~P1(f295(a291,x48531)) % 192.26/192.33 [4880]E(f295(a111,x48801),f2(a902))+~P1(f295(a179,x48801)) % 192.26/192.33 [4944]~P109(x49441)+P13(x49441,x49441,f117(x49441)) % 192.26/192.33 [4945]~P110(x49451)+P13(x49451,x49451,f108(x49451)) % 192.26/192.33 [4946]~P114(x49461)+P13(x49461,x49461,f205(x49461)) % 192.26/192.33 [4947]~P114(x49471)+P13(x49471,x49471,f206(x49471)) % 192.26/192.33 [4948]~P106(x49481)+P13(x49481,x49481,f84(x49481)) % 192.26/192.33 [4949]~P81(x49491)+P15(x49491,x49491,f84(x49491)) % 192.26/192.33 [4739]~E(x47391,f2(a902))+E(f295(f107(a1),x47391),f2(a1)) % 192.26/192.33 [4746]~P104(x47461)+E(f295(f110(x47461),a86),f2(x47461)) % 192.26/192.33 [4749]~E(f632(x47491),f2(a902))+E(f295(f154(a902),x47491),f2(a902)) % 192.26/192.33 [4750]~P113(x47501)+E(f209(x47501,f207(x47501)),f205(x47501)) % 192.26/192.33 [4751]~P113(x47511)+E(f210(x47511,f207(x47511)),f206(x47511)) % 192.26/192.33 [4752]~P96(x47521)+E(f85(x47521,f2(x47521)),f2(x47521)) % 192.26/192.33 [4761]~P118(x47611)+E(f295(f107(x47611),f2(a902)),f2(x47611)) % 192.26/192.33 [4762]~P118(x47621)+E(f295(f107(x47621),f81(a902)),f81(x47621)) % 192.26/192.33 [4763]~P145(x47631)+E(f295(f109(x47631),f2(a1)),f2(x47631)) % 192.26/192.33 [4764]~P145(x47641)+E(f295(f109(x47641),f81(a1)),f81(x47641)) % 192.26/192.33 [4765]E(x47651,f2(a902))+~E(f295(f107(a1),x47651),f2(a1)) % 192.26/192.33 [4803]~P76(x48031)+E(f295(f82(x48031),f2(x48031)),f2(x48031)) % 192.26/192.33 [4804]~P102(x48041)+E(f295(f82(x48041),f214(x48041)),f176(x48041)) % 192.26/192.33 [4805]~P102(x48051)+E(f295(f82(x48051),f176(x48051)),f214(x48051)) % 192.26/192.33 [4806]~P93(x48061)+E(f295(f77(x48061),f2(x48061)),f2(x48061)) % 192.26/192.33 [4807]~P119(x48071)+E(f295(f77(x48071),f81(x48071)),f81(x48071)) % 192.26/192.33 [4808]~P88(x48081)+E(f295(f154(x48081),f120(x48081)),f2(x48081)) % 192.26/192.33 [4826]~P35(x48261)+P40(f295(f160(a1),x48261)) % 192.26/192.33 [4858]~P104(x48581)+E(f295(f82(x48581),f81(x48581)),f295(f110(x48581),a104)) % 192.26/192.33 [4879]~P104(x48791)+P27(x48791,f295(f110(x48791),a86)) % 192.26/192.33 [4905]P35(x49051)+~P40(f295(f160(a1),x49051)) % 192.26/192.33 [4950]E(f295(f107(a1),f295(a111,x49501)),x49501)+P1(f295(a179,x49501)) % 192.26/192.33 [4969]~P113(x49691)+E(f95(x49691,x49691,f5(x49691)),f96(x49691)) % 192.26/192.33 [5021]~P121(x50211)+E(f219(x50211,f81(x50211),f84(x50211)),f218(x50211)) % 192.26/192.33 [5054]~P104(x50541)+~P27(x50541,f295(f110(x50541),a104)) % 192.26/192.33 [5202]E(f295(f77(a1),x52021),x52021)+P1(f295(f295(f208(a1),x52021),f2(a1))) % 192.26/192.33 [5220]~E(f295(a111,x52201),f2(a902))+P1(f295(f295(f207(a1),x52201),f2(a1))) % 192.26/192.33 [5286]~P1(f295(a179,x52861))+P1(f295(f295(f208(a1),x52861),f2(a1))) % 192.26/192.33 [5326]~P118(x53261)+P1(f295(f295(f297(x53261),f2(x53261)),f173(x53261))) % 192.26/192.33 [5327]~P145(x53271)+P1(f295(f295(f297(x53271),f2(x53271)),f116(x53271))) % 192.26/192.33 [5328]~P118(x53281)+P1(f295(f295(f297(x53281),f81(x53281)),f173(x53281))) % 192.26/192.33 [5329]~P145(x53291)+P1(f295(f295(f297(x53291),f81(x53291)),f116(x53291))) % 192.26/192.33 [5330]~P131(x53301)+P1(f295(f295(f207(x53301),f2(x53301)),f81(x53301))) % 192.26/192.33 [5331]~P131(x53311)+P1(f295(f295(f208(x53311),f2(x53311)),f81(x53311))) % 192.26/192.33 [5384]E(x53841,f2(a902))+~P1(f295(f295(f207(a902),x53841),f2(a902))) % 192.26/192.33 [5423]E(f295(a111,x54231),f2(a902))+~P1(f295(f295(f207(a1),x54231),f2(a1))) % 192.26/192.33 [5489]P1(f295(a179,x54891))+~P1(f295(f295(f208(a1),x54891),f2(a1))) % 192.26/192.33 [5496]~P114(x54961)+P15(x54961,f903(x54961),f137(x54961,x54961,f5(x54961))) % 192.26/192.33 [5514]P40(x55141)+~P1(f295(f295(f207(a1),f2(a1)),f324(x55141))) % 192.26/192.33 [5519]E(f295(f77(a1),x55191),f295(f82(a1),x55191))+~P1(f295(f295(f208(a1),x55191),f2(a1))) % 192.26/192.33 [5689]~P131(x56891)+~P1(f295(f295(f207(x56891),f81(x56891)),f2(x56891))) % 192.26/192.33 [5690]~P131(x56901)+~P1(f295(f295(f208(x56901),f81(x56901)),f2(x56901))) % 192.26/192.33 [5704]~E(x57041,f2(a902))+P1(f295(f295(f207(a1),f295(f107(a1),x57041)),f2(a1))) % 192.26/192.33 [5705]~E(x57051,f2(a1))+P1(f295(f295(f208(a1),f295(f77(a1),x57051)),f81(a1))) % 192.26/192.33 [5823]~P88(x58231)+E(f131(x58231,x58231,f83(x58231),f2(x58231)),f154(x58231)) % 192.26/192.33 [5995]~P111(x59951)+P24(a902,x59951,f107(x59951),f214(f911(a902,a897))) % 192.26/192.33 [6190]E(x61901,f2(a902))+~P1(f295(f295(f207(a1),f295(f107(a1),x61901)),f2(a1))) % 192.26/192.33 [6191]E(x61911,f2(a1))+~P1(f295(f295(f208(a1),f295(f77(a1),x61911)),f81(a1))) % 192.26/192.33 [6973]~P1(f295(f295(f208(a1),x69731),f2(a1)))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x69731),x69731)),f2(a1))) % 192.26/192.33 [7530]P1(f295(f295(f208(a1),x75301),f2(a1)))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),x75301),x75301)),f2(a1))) % 192.26/192.33 [8076]E(x80761,f295(a3,f2(a902)))+P1(f295(f295(f208(a902),f295(f295(f23(a902),f295(a20,x80761)),f295(a119,f2(a902)))),f295(a20,x80761))) % 192.26/192.33 [8858]~P1(f295(f295(f208(a1),x88581),f2(a1)))+P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x88581),x88581)),a104)),f2(a1))) % 192.26/192.33 [8958]~P1(f295(f295(f208(a1),x89581),f2(a1)))+P1(f295(f295(f208(a1),f295(f295(f83(a1),f295(f295(f83(a1),f81(a1)),x89581)),x89581)),f2(a1))) % 192.26/192.33 [9293]P1(f295(f295(f208(a1),x92931),f2(a1)))+~P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92931),x92931)),a104)),f2(a1))) % 192.26/192.33 [9354]P1(f295(f295(f208(a1),x93541),f2(a1)))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),f295(f295(f83(a1),f81(a1)),x93541)),x93541)),f2(a1))) % 192.26/192.33 [4847]~E(a86,x48471)+E(f295(f295(f83(a1),x48471),x48471),a86) % 192.26/192.33 [4848]~E(x48481,a86)+E(f295(f295(f83(a1),x48481),x48481),a86) % 192.26/192.33 [4865]E(x48651,f2(a1))+E(f295(f295(f40(a1),x48651),x48651),f81(a1)) % 192.26/192.33 [4998]E(x49981,a86)+~E(f295(f295(f83(a1),x49981),x49981),a86) % 192.26/192.33 [4999]E(a86,x49991)+~E(f295(f295(f83(a1),x49991),x49991),a86) % 192.26/192.33 [5011]~P6(x50111)+E(f42(x50111,f214(f911(x50111,a897))),f176(x50111)) % 192.26/192.33 [5012]~P6(x50121)+E(f42(x50121,f176(f911(x50121,a897))),f214(x50121)) % 192.26/192.33 [5013]~P6(x50131)+E(f41(x50131,f214(f911(x50131,a897))),f214(x50131)) % 192.26/192.33 [5014]~P6(x50141)+E(f41(x50141,f176(f911(x50141,a897))),f176(x50141)) % 192.26/192.33 [5015]~P114(x50151)+E(f128(x50151,f176(f911(x50151,a897))),f120(x50151)) % 192.26/192.33 [5156]E(x51561,f2(a902))+P1(f295(f295(f208(a902),f2(a902)),x51561)) % 192.26/192.33 [5174]~P7(x51741)+P1(f295(f295(f207(a1),f2(a1)),x51741)) % 192.26/192.33 [5211]~E(f295(f110(a902),x52111),f2(a902))+P1(f295(f295(f207(a1),x52111),a86)) % 192.26/192.33 [5216]P40(x52161)+P1(f295(f295(f297(a1),f324(x52161)),x52161)) % 192.26/192.33 [5217]E(x52171,f295(a3,f2(a902)))+P1(f295(f295(f207(a106),f81(a106)),x52171)) % 192.26/192.33 [5259]P1(f295(a179,x52591))+P1(f295(f295(f207(a1),f2(a1)),x52591)) % 192.26/192.33 [5308]E(f295(f107(a1),f295(a111,x53081)),f2(a1))+P1(f295(f295(f207(a1),f2(a1)),x53081)) % 192.26/192.33 [5366]E(f295(f107(a1),f295(f110(a902),x53661)),f295(f110(a1),x53661))+P1(f295(a179,f295(f110(a1),x53661))) % 192.26/192.33 [5390]E(f295(f110(a902),x53901),f2(a902))+~P1(f295(a179,f295(f110(a1),x53901))) % 192.26/192.33 [5391]E(f295(f110(a902),x53911),f2(a902))+~P1(f295(f295(f207(a1),x53911),a86)) % 192.26/192.33 [5420]P7(x54201)+~P1(f295(f295(f207(a1),f2(a1)),x54201)) % 192.26/192.33 [5499]E(f295(a119,f416(x54991)),x54991)+~P1(f295(f295(f208(a902),f2(a902)),x54991)) % 192.26/192.33 [5508]E(f295(a119,f295(f110(a902),x55081)),f81(a902))+~P1(f295(a179,f295(f110(a1),x55081))) % 192.26/192.33 [5515]E(f295(f107(a1),f526(x55151)),x55151)+~P1(f295(f295(f208(a1),f2(a1)),x55151)) % 192.26/192.33 [5522]~E(x55221,f295(a3,f2(a902)))+~P1(f295(f295(f207(a106),f81(a106)),x55221)) % 192.26/192.33 [5529]E(f295(f107(a1),f295(f110(a902),x55291)),f2(a1))+~P1(f295(a179,f295(f110(a1),x55291))) % 192.26/192.33 [5554]E(f295(f154(a902),x55541),f2(a902))+P1(f295(f295(f297(a902),f632(x55541)),f295(f160(a902),x55541))) % 192.26/192.33 [5574]E(f295(f107(a1),f295(a111,x55741)),x55741)+~P1(f295(f295(f207(a1),f2(a1)),x55741)) % 192.26/192.33 [5582]~P1(f295(a179,x55821))+~P1(f295(f295(f207(a1),f2(a1)),x55821)) % 192.26/192.33 [5682]E(f295(f295(f83(a902),f81(a902)),f295(f110(a902),x56821)),f81(a902))+~P1(f295(f295(f208(a1),x56821),a86)) % 192.26/192.33 [5744]E(x57441,f2(a902))+~P1(f295(f295(f208(a902),x57441),f295(a119,f2(a902)))) % 192.26/192.33 [5782]E(f295(f295(f23(a902),f295(f110(a902),x57821)),f81(a902)),f2(a902))+~P1(f295(f295(f207(a1),x57821),a86)) % 192.26/192.33 [5783]E(f295(f295(f83(a902),f295(f110(a902),x57831)),f81(a902)),f81(a902))+~P1(f295(f295(f208(a1),x57831),a86)) % 192.26/192.33 [5795]~P40(x57951)+E(f295(f39(a902),f295(f276(a1,a902,a111),x57951)),f295(f39(a1),x57951)) % 192.26/192.33 [5824]~P114(x58241)+E(f210(x58241,f295(f7(x58241,x58241,a897),f207(x58241))),f205(x58241)) % 192.26/192.33 [5825]~P114(x58251)+E(f209(x58251,f295(f7(x58251,x58251,a897),f207(x58251))),f206(x58251)) % 192.26/192.33 [5835]E(f46(a902,f295(a119,f2(a902)),f295(f110(a902),x58351)),f295(a119,f2(a902)))+~P1(f295(a179,f295(f110(a1),x58351))) % 192.26/192.33 [5843]~P1(f295(f295(f208(a1),f2(a1)),x58431))+P1(f295(f295(f207(a1),f81(a1)),x58431)) % 192.26/192.33 [5844]P1(f295(f295(f208(a1),f2(a1)),x58441))+~P1(f295(f295(f207(a1),f81(a1)),x58441)) % 192.26/192.33 [5855]E(f295(a119,f295(f295(f23(a902),x58551),f81(a902))),x58551)+~P1(f295(f295(f208(a902),f2(a902)),x58551)) % 192.26/192.33 [5910]P1(f295(f295(f208(a902),f2(a902)),f526(x59101)))+~P1(f295(f295(f208(a1),f2(a1)),x59101)) % 192.26/192.33 [5971]E(f46(a1,f295(f110(a1),a104),x59711),f295(f295(f23(a1),x59711),f81(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x59711)) % 192.26/192.33 [6007]~P1(f295(f295(f208(a1),a86),x60071))+P1(f295(f295(f208(a902),f2(a902)),f295(f110(a902),x60071))) % 192.26/192.33 [6058]P1(f295(f295(f208(a902),f2(a902)),f295(a111,x60581)))+~P1(f295(f295(f208(a1),f2(a1)),x60581)) % 192.26/192.33 [6108]~P1(f295(f295(f208(a902),f2(a902)),x61081))+P1(f295(f295(f208(a1),f2(a1)),f295(f107(a1),x61081))) % 192.26/192.33 [6146]~P1(f295(f295(f208(a902),f2(a902)),f295(a111,x61461)))+P1(f295(f295(f208(a1),f2(a1)),x61461)) % 192.26/192.33 [6161]~P40(x61611)+E(f295(f276(a902,a1,f107(a1)),f295(f276(a1,a902,a111),x61611)),x61611) % 192.26/192.33 [6171]P1(f295(f295(f208(a1),a86),x61711))+~P1(f295(f295(f208(a902),f2(a902)),f295(f110(a902),x61711))) % 192.26/192.33 [6227]P1(f295(f295(f208(a902),f2(a902)),x62271))+~P1(f295(f295(f208(a1),f2(a1)),f295(f107(a1),x62271))) % 192.26/192.33 [6336]E(f295(f276(a902,a1,f107(a1)),f295(f249(a902),f295(a111,x63361))),f295(f268(a1,f2(a1)),x63361))+~P1(f295(f295(f207(a1),f2(a1)),x63361)) % 192.26/192.33 [6351]~P131(x63511)+P1(f295(f295(f208(x63511),f2(x63511)),f295(f295(f83(x63511),f81(x63511)),f81(x63511)))) % 192.26/192.33 [6400]P1(f295(f295(f208(a902),f295(a119,f2(a902))),f295(a111,x64001)))+~P1(f295(f295(f208(a1),f81(a1)),x64001)) % 192.26/192.33 [6499]E(x64991,f2(a1))+P1(f295(f50(f2(a1),x64991),f295(f295(f217(a1,a1),f2(a1)),f2(a1)))) % 192.26/192.33 [6668]~P1(f295(f295(f208(a902),f295(a119,f2(a902))),f295(a111,x66681)))+P1(f295(f295(f208(a1),f81(a1)),x66681)) % 192.26/192.33 [7085]~P122(x70851)+P36(x70851,f295(f212(f910(x70851,x70851)),f295(f228(x70851,x70851,a897),f208(x70851)))) % 192.26/192.33 [5154]E(x51541,f2(a106))+E(f295(a3,f295(a119,f295(a20,f301(x51541)))),x51541) % 192.26/192.33 [5731]E(f295(f110(a902),f295(f295(f23(a1),x57311),a104)),f295(a119,f295(f110(a902),x57311)))+P1(f295(a179,f295(f110(a1),x57311))) % 192.26/192.33 [5747]~P35(x57471)+E(f295(f295(f143(a902,a1),f107(a1)),f295(f295(f143(a1,a902),a111),x57471)),x57471) % 192.26/192.33 [5861]E(f295(f82(a1),f295(f107(a1),f295(a119,f479(x58611)))),x58611)+~P1(f295(f295(f208(a1),x58611),f2(a1))) % 192.26/192.33 [5871]E(f295(f295(f83(a902),f81(a902)),f295(f110(a902),x58711)),f295(f110(a902),f295(f295(f23(a1),x58711),a104)))+P1(f295(f295(f208(a1),x58711),a86)) % 192.26/192.33 [5912]E(f295(f295(f40(a1),f295(f110(a1),a104)),x59121),f295(f110(a1),a104))+~P1(f295(f295(f208(a1),f2(a1)),x59121)) % 192.26/192.33 [6003]E(f295(f295(f23(a902),f295(f110(a902),x60031)),f81(a902)),f295(f110(a902),f295(f295(f83(a1),x60031),a104)))+P1(f295(f295(f207(a1),x60031),a86)) % 192.26/192.33 [6004]E(f295(f295(f83(a902),f295(f110(a902),x60041)),f81(a902)),f295(f110(a902),f295(f295(f23(a1),x60041),a104)))+P1(f295(f295(f208(a1),x60041),a86)) % 192.26/192.33 [6046]E(f295(a111,f295(f295(f83(a1),f81(a1)),x60461)),f295(a119,f295(a111,x60461)))+~P1(f295(f295(f207(a1),f2(a1)),x60461)) % 192.26/192.33 [6079]E(f295(a119,f295(f295(f23(a902),x60791),f295(a119,f2(a902)))),x60791)+~P1(f295(f295(f208(a902),f2(a902)),x60791)) % 192.26/192.33 [6290]E(f46(a902,f295(a119,f2(a902)),f295(f110(a902),x62901)),f295(a111,f46(a1,f81(a1),f295(f110(a1),x62901))))+P1(f295(a179,f295(f110(a1),x62901))) % 192.26/192.33 [6329]~P1(f295(f295(f207(a1),a86),x63291))+P1(f295(f295(f207(a1),a86),f295(f295(f83(a1),x63291),x63291))) % 192.26/192.33 [6330]~P1(f295(f295(f208(a1),a104),x63301))+P1(f295(f295(f207(a1),a104),f295(f295(f83(a1),x63301),x63301))) % 192.26/192.33 [6331]~P1(f295(f295(f208(a1),a86),x63311))+P1(f295(f295(f208(a1),a86),f295(f295(f83(a1),x63311),x63311))) % 192.26/192.33 [6332]~P1(f295(f295(f208(a1),a104),x63321))+P1(f295(f295(f208(a1),a104),f295(f295(f83(a1),x63321),x63321))) % 192.26/192.33 [6512]~P1(f295(f62(x65121),f214(f911(x65121,a897))))+P1(f295(f62(f907(x65121)),f214(f911(f907(x65121),a897)))) % 192.26/192.33 [6601]~P1(f295(f295(f207(a1),f2(a1)),x66011))+P1(f295(f295(f208(a1),f2(a1)),f295(f295(f83(a1),f81(a1)),x66011))) % 192.26/192.33 [6608]E(f295(f216(a1,a1),f48(f81(a1),f295(f110(a1),x66081))),f295(f295(f40(a1),f81(a1)),f295(f110(a1),x66081)))+~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x66081))) % 192.26/192.33 [6628]E(f295(f227(a1,a1),f48(f81(a1),f295(f110(a1),x66281))),f46(a1,f81(a1),f295(f110(a1),x66281)))+~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x66281))) % 192.26/192.33 [6639]P1(f295(f62(x66391),f214(f911(x66391,a897))))+~P1(f295(f62(f907(x66391)),f214(f911(f907(x66391),a897)))) % 192.26/192.33 [6669]P1(f295(f295(f207(a1),a86),x66691))+~P1(f295(f295(f207(a1),a86),f295(f295(f83(a1),x66691),x66691))) % 192.26/192.33 [6670]P1(f295(f295(f208(a1),a86),x66701))+~P1(f295(f295(f208(a1),a86),f295(f295(f83(a1),x66701),x66701))) % 192.26/192.33 [6671]P1(f295(f295(f208(a1),a104),x66711))+~P1(f295(f295(f207(a1),a104),f295(f295(f83(a1),x66711),x66711))) % 192.26/192.33 [6672]P1(f295(f295(f208(a1),a104),x66721))+~P1(f295(f295(f208(a1),a104),f295(f295(f83(a1),x66721),x66721))) % 192.26/192.33 [6977]~P1(f295(f62(x69771),f214(f911(x69771,a897))))+P1(f295(f295(f208(a902),f2(a902)),f295(f39(x69771),f214(f911(x69771,a897))))) % 192.26/192.33 [7569]P1(f295(f62(a902),x75691))+~P1(f295(f62(a1),f295(f276(a902,a1,f107(a1)),x75691))) % 192.26/192.33 [5657]~E(a104,x56571)+E(f295(f295(f23(a1),f295(f295(f83(a1),x56571),x56571)),a104),a104) % 192.26/192.33 [5658]~E(x56581,a104)+E(f295(f295(f23(a1),f295(f295(f83(a1),x56581),x56581)),a104),a104) % 192.26/192.33 [6166]E(x61661,a104)+~E(f295(f295(f23(a1),f295(f295(f83(a1),x61661),x61661)),a104),a104) % 192.26/192.33 [6167]E(a104,x61671)+~E(f295(f295(f23(a1),f295(f295(f83(a1),x61671),x61671)),a104),a104) % 192.26/192.33 [6568]~E(f295(f110(a902),x65681),f2(a902))+P1(f295(a179,f295(f110(a1),f295(f295(f83(a1),x65681),a104)))) % 192.26/192.33 [6908]~P1(f295(a179,f295(f110(a1),x69081)))+P1(f295(a179,f295(f110(a1),f295(f295(f83(a1),x69081),x69081)))) % 192.26/192.33 [6909]~P1(f295(f295(f207(a1),x69091),a86))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x69091),x69091)),a86)) % 192.26/192.33 [6910]~P1(f295(f295(f207(a1),x69101),a104))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x69101),x69101)),a104)) % 192.26/192.33 [6911]~P1(f295(f295(f208(a1),x69111),a86))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x69111),x69111)),a86)) % 192.26/192.33 [6912]~P1(f295(f295(f207(a1),x69121),a104))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x69121),x69121)),a104)) % 192.26/192.33 [7232]E(f295(f110(a902),x72321),f2(a902))+~P1(f295(a179,f295(f110(a1),f295(f295(f83(a1),x72321),a104)))) % 192.26/192.33 [7481]~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x74811)))+P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),f295(f295(f83(a1),x74811),x74811)))) % 192.26/192.33 [7482]P1(f295(a179,f295(f110(a1),x74821)))+~P1(f295(a179,f295(f110(a1),f295(f295(f83(a1),x74821),x74821)))) % 192.26/192.33 [7483]P1(f295(f295(f207(a1),x74831),a86))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),x74831),x74831)),a86)) % 192.26/192.33 [7484]P1(f295(f295(f207(a1),x74841),a104))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),x74841),x74841)),a104)) % 192.26/192.33 [7485]P1(f295(f295(f207(a1),x74851),a104))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),x74851),x74851)),a104)) % 192.26/192.33 [7486]P1(f295(f295(f208(a1),x74861),a86))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),x74861),x74861)),a86)) % 192.26/192.33 [7845]E(f295(a114,f738(x78451)),x78451)+~P1(f295(f295(f297(f911(f910(a902,a902),a897)),x78451),a105)) % 192.26/192.33 [6485]~P104(x64851)+E(f295(f110(x64851),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f81(x64851)) % 192.26/192.33 [6958]~P1(f295(a179,f295(f110(a1),x69581)))+E(f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),x69581),x69581)),a104)),f2(a902)) % 192.26/192.33 [8021]~P1(f295(f295(f208(a1),f295(f110(a1),x80211)),f2(a1)))+E(f295(f216(a1,a1),f295(a52,f51(f295(f82(a1),f81(a1)),f295(f82(a1),f295(f110(a1),x80211))))),f295(f295(f40(a1),f81(a1)),f295(f110(a1),x80211))) % 192.26/192.33 [8034]~P1(f295(f295(f208(a1),f295(f110(a1),x80341)),f2(a1)))+E(f295(f227(a1,a1),f295(a52,f51(f295(f82(a1),f81(a1)),f295(f82(a1),f295(f110(a1),x80341))))),f46(a1,f81(a1),f295(f110(a1),x80341))) % 192.26/192.33 [8083]~P1(f295(f295(f207(a1),a86),x80831))+P1(f295(f295(f207(a1),a86),f295(f295(f23(a1),f295(f295(f83(a1),x80831),x80831)),a104))) % 192.26/192.33 [8084]~P1(f295(f295(f207(a1),a104),x80841))+P1(f295(f295(f207(a1),a104),f295(f295(f23(a1),f295(f295(f83(a1),x80841),x80841)),a104))) % 192.26/192.33 [8085]~P1(f295(f295(f207(a1),a86),x80851))+P1(f295(f295(f208(a1),a86),f295(f295(f23(a1),f295(f295(f83(a1),x80851),x80851)),a104))) % 192.26/192.33 [8086]~P1(f295(f295(f208(a1),a104),x80861))+P1(f295(f295(f208(a1),a104),f295(f295(f23(a1),f295(f295(f83(a1),x80861),x80861)),a104))) % 192.26/192.33 [8392]~P104(x83921)+~P27(x83921,f295(f110(x83921),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))) % 192.26/192.33 [8572]P1(f295(f295(f207(a1),a86),x85721))+~P1(f295(f295(f207(a1),a86),f295(f295(f23(a1),f295(f295(f83(a1),x85721),x85721)),a104))) % 192.26/192.33 [8573]P1(f295(f295(f207(a1),a86),x85731))+~P1(f295(f295(f208(a1),a86),f295(f295(f23(a1),f295(f295(f83(a1),x85731),x85731)),a104))) % 192.26/192.33 [8574]P1(f295(f295(f207(a1),a104),x85741))+~P1(f295(f295(f207(a1),a104),f295(f295(f23(a1),f295(f295(f83(a1),x85741),x85741)),a104))) % 192.26/192.33 [8575]P1(f295(f295(f208(a1),a104),x85751))+~P1(f295(f295(f208(a1),a104),f295(f295(f23(a1),f295(f295(f83(a1),x85751),x85751)),a104))) % 192.26/192.33 [8916]E(f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),x89161),x89161)),a104)),f295(f295(f89(a902,a902),f295(f110(a902),x89161)),f295(f295(f8(a902,a902,a902),a119),f295(f295(f18(a902,a902,a902),f83(a902)),f5(a902)))))+P1(f295(a179,f295(f110(a1),x89161))) % 192.26/192.33 [9759]E(x97591,f176(f911(f910(a902,a902),a897)))+P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x97591),f176(f911(f910(a902,a902),a897)))),a70)) % 192.26/192.33 [8833]~P1(f295(a179,f295(f110(a1),x88331)))+P1(f295(a179,f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),x88331),x88331)),a104)))) % 192.26/192.33 [8834]~P1(f295(f295(f208(a1),x88341),a86))+P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x88341),x88341)),a104)),a86)) % 192.26/192.33 [8835]~P1(f295(f295(f207(a1),x88351),a104))+P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x88351),x88351)),a104)),a104)) % 192.26/192.33 [8836]~P1(f295(f295(f208(a1),x88361),a86))+P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x88361),x88361)),a104)),a86)) % 192.26/192.33 [8837]~P1(f295(f295(f208(a1),x88371),a104))+P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x88371),x88371)),a104)),a104)) % 192.26/192.33 [8952]~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x89521)))+P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),x89521),x89521)),a104)))) % 192.26/192.33 [9121]~P104(x91211)+E(f295(f295(f83(x91211),f81(x91211)),f81(x91211)),f295(f110(x91211),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))) % 192.26/192.33 [9277]P1(f295(a179,f295(f110(a1),x92771)))+~P1(f295(a179,f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92771),x92771)),a104)))) % 192.26/192.33 [9278]P1(f295(f295(f207(a1),x92781),a104))+~P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92781),x92781)),a104)),a104)) % 192.26/192.33 [9279]P1(f295(f295(f208(a1),x92791),a86))+~P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92791),x92791)),a104)),a86)) % 192.26/192.33 [9280]P1(f295(f295(f208(a1),x92801),a86))+~P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92801),x92801)),a104)),a86)) % 192.26/192.33 [9281]P1(f295(f295(f208(a1),x92811),a104))+~P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92811),x92811)),a104)),a104)) % 192.26/192.33 [9803]~P1(f295(f62(f910(a902,a902)),x98031))+P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),f176(f911(f910(a902,a902),a897))),x98031)),a71)) % 192.26/192.33 [9596]~P118(x95961)+E(f295(f295(f218(x95961),f2(x95961)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f2(x95961)) % 192.26/192.33 [9597]~P118(x95971)+E(f295(f295(f218(x95971),f81(x95971)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f81(x95971)) % 192.26/192.33 [10034]~P1(f295(f295(f208(a902),f81(a902)),x100341))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f40(a902),x100341),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.33 [10041]~P1(f295(f295(f208(a902),f2(a902)),x100411))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f40(a902),f295(f295(f83(a902),x100411),f81(a902))),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.33 [10080]~E(f46(a902,x100801,f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f81(a902))+P1(f295(f295(f208(a902),f2(a902)),f46(a902,x100801,f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.33 [10104]E(f46(a902,x101041,f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f81(a902))+~P1(f295(f295(f208(a902),f2(a902)),f46(a902,x101041,f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.33 [4770]~P14(x47701,x47702)+P45(x47701,x47702) % 192.26/192.33 [4772]~P8(x47721,x47722)+P45(x47721,x47722) % 192.26/192.33 [4774]~P14(x47741,x47742)+P46(x47741,x47742) % 192.26/192.33 [4776]~P8(x47761,x47762)+P46(x47761,x47762) % 192.26/192.33 [4777]~P8(x47771,x47772)+P14(x47771,x47772) % 192.26/192.33 [4779]~P8(x47791,x47792)+P47(x47791,x47792) % 192.26/192.33 [4780]~P36(x47801,x47802)+P63(x47801,x47802) % 192.26/192.33 [4781]~P48(x47811,x47812)+P63(x47811,x47812) % 192.26/192.33 [4728]E(x47281,x47282)+~E(f26(x47281),f26(x47282)) % 192.26/192.33 [4731]~E(x47311,x47312)+E(f240(x47311,x47312),f81(a106)) % 192.26/192.33 [4734]E(f192(x47341,x47342),x47341)+~E(x47342,f2(a902)) % 192.26/192.33 [4741]~E(x47412,f120(x47411))+E(f141(x47411,x47412),f120(x47411)) % 192.26/192.33 [4760]~E(f141(x47602,x47601),f120(x47602))+E(x47601,f120(x47602)) % 192.26/192.33 [4786]~P3(x47862)+P3(f32(x47861,x47862)) % 192.26/192.33 [4787]~P6(x47872)+P6(f911(x47871,x47872)) % 192.26/192.33 [4788]~P112(x47882)+P112(f911(x47881,x47882)) % 192.26/192.33 [4789]~P117(x47892)+P117(f911(x47891,x47892)) % 192.26/192.33 [4790]~P113(x47902)+P113(f911(x47901,x47902)) % 192.26/192.33 [4791]~P116(x47912)+P116(f911(x47911,x47912)) % 192.26/192.33 [4792]~P99(x47922)+P99(f911(x47921,x47922)) % 192.26/192.33 [4793]~P107(x47932)+P100(f911(x47931,x47932)) % 192.26/192.33 [4794]~P99(x47942)+P109(f911(x47941,x47942)) % 192.26/192.33 [4795]~P99(x47952)+P110(f911(x47951,x47952)) % 192.26/192.33 [4796]~P107(x47962)+P101(f911(x47961,x47962)) % 192.26/192.33 [4797]~P115(x47972)+P115(f911(x47971,x47972)) % 192.26/192.33 [4798]~P108(x47982)+P108(f911(x47981,x47982)) % 192.26/192.33 [4799]~P102(x47992)+P102(f911(x47991,x47992)) % 192.26/192.33 [4800]~P66(x48002)+P66(f911(x48001,x48002)) % 192.26/192.33 [4801]~P86(x48012)+P86(f911(x48011,x48012)) % 192.26/192.33 [4802]~P107(x48022)+P107(f911(x48021,x48022)) % 192.26/192.33 [4815]E(x48151,x48152)+~E(f295(a119,x48151),f295(a119,x48152)) % 192.26/192.33 [4816]E(x48161,x48162)+~E(f295(a114,x48161),f295(a114,x48162)) % 192.26/192.33 [4817]E(x48171,x48172)+~E(f295(a3,x48171),f295(a3,x48172)) % 192.26/192.33 [4819]E(x48191,x48192)+~E(f295(a20,x48191),f295(a20,x48192)) % 192.26/192.33 [4860]P3(x48601)+~P3(f32(x48602,x48601)) % 192.26/192.33 [4862]P3(x48621)+~P3(f33(x48622,x48621)) % 192.26/192.33 [4864]P3(x48641)+~P3(f33(x48641,x48642)) % 192.26/192.33 [4881]P39(x48811,x48812)+~E(f742(x48812,x48811),f743(x48812,x48811)) % 192.26/192.33 [4911]~P38(x49111,x49112)+P38(x49111,f273(x49111,x49112)) % 192.26/192.33 [4912]~P63(x49121,x49122)+P39(x49121,f273(x49121,x49122)) % 192.26/192.33 [4923]~P69(x49231)+E(f46(x49231,x49232,x49232),f2(x49231)) % 192.26/192.33 [4957]~P36(x49571,x49572)+P36(f903(x49571),f135(x49571,x49572)) % 192.26/192.33 [4958]~P36(x49581,x49582)+P36(f903(x49581),f134(x49581,x49582)) % 192.26/192.33 [4959]~P38(x49591,x49592)+P38(f903(x49591),f147(x49591,x49592)) % 192.26/192.33 [4960]~P37(x49601,x49602)+P37(f903(x49601),f136(x49601,x49602)) % 192.26/192.33 [4961]~P37(x49611,x49612)+P37(f903(x49611),f147(x49611,x49612)) % 192.26/192.33 [5059]~P36(x50591,x50592)+P36(f911(x50591,a897),f289(x50591,x50592)) % 192.26/192.33 [5060]~P36(x50601,x50602)+P36(f911(x50601,a897),f287(x50601,x50602)) % 192.26/192.33 [5183]~P7(x51831)+P40(f269(a1,x51831,x51832)) % 192.26/192.33 [5289]~P36(x52891,x52892)+P65(x52891,f68(x52891,x52891,x52892)) % 192.26/192.33 [5789]~P87(x57891)+P24(x57891,x57891,f82(x57891),x57892) % 192.26/192.33 [4755]~E(x47552,f120(x47551))+E(f295(f156(x47551),x47552),f120(x47551)) % 192.26/192.33 [4756]~E(x47562,f120(x47561))+E(f295(f157(x47561),x47562),f120(x47561)) % 192.26/192.33 [4821]E(x48211,f295(a111,x48212))+~E(f295(f107(a1),x48211),x48212) % 192.26/192.33 [4824]E(x48241,f120(x48242))+~E(f295(f156(x48242),x48241),f120(x48242)) % 192.26/192.33 [4825]E(x48251,f120(x48252))+~E(f295(f157(x48252),x48251),f120(x48252)) % 192.26/192.33 [4844]~P104(x48441)+E(f295(f110(x48441),x48442),f295(f109(x48441),x48442)) % 192.26/192.33 [4852]~P68(x48521)+P1(f295(f62(x48521),x48522)) % 192.26/192.33 [4866]~E(f685(x48662,x48661),f120(x48661))+E(f166(x48661,x48662),f120(f903(x48661))) % 192.26/192.33 [4875]~E(x48752,f120(x48751))+E(f295(f160(x48751),x48752),f176(f911(x48751,a897))) % 192.26/192.33 [4876]~E(x48762,f120(x48761))+E(f176(f911(x48761,a897)),f295(f160(x48761),x48762)) % 192.26/192.33 [4878]E(x48781,x48782)+~E(f295(f107(a1),x48781),f295(f107(a1),x48782)) % 192.26/192.33 [4882]E(f190(x48821,x48822),f2(a902))+P1(f295(f62(x48821),x48822)) % 192.26/192.33 [4900]~P119(x49001)+E(f85(x49001,f85(x49001,x49002)),f85(x49001,x49002)) % 192.26/192.33 [4914]~P123(x49141)+E(f295(f295(f218(x49141),x49142),f81(a902)),x49142) % 192.26/192.33 [4915]~P90(x49151)+E(f295(f295(f218(x49151),x49152),f81(a902)),x49152) % 192.26/192.33 [4916]~P38(x49161,x49162)+E(f295(f253(x49161,x49161),x49162),x49162) % 192.26/192.33 [4918]E(x49181,x49182)+E(f240(x49181,x49182),f295(f295(f83(a106),x49182),f81(a106))) % 192.26/192.33 [4921]E(f295(f39(x49211),x49212),f2(a902))+P1(f295(f62(x49211),x49212)) % 192.26/192.33 [4924]~E(f141(x49241,x49242),x49242)+P1(f295(f126(x49241),x49242)) % 192.26/192.33 [4927]~P101(x49271)+E(f295(f295(f117(x49271),x49272),f176(x49271)),x49272) % 192.26/192.33 [4928]~P100(x49281)+E(f295(f295(f108(x49281),x49282),f214(x49281)),x49282) % 192.26/192.33 [4929]~P76(x49291)+E(f295(f295(f23(x49291),x49292),f2(x49291)),x49292) % 192.26/192.33 [4930]~P77(x49301)+E(f295(f295(f83(x49301),x49302),f2(x49301)),x49302) % 192.26/192.33 [4931]~P88(x49311)+E(f295(f295(f83(x49311),x49312),f2(x49311)),x49312) % 192.26/192.33 [4932]~P123(x49321)+E(f295(f295(f83(x49321),x49322),f2(x49321)),x49322) % 192.26/192.33 [4933]~P123(x49331)+E(f295(f295(f84(x49331),x49332),f81(x49331)),x49332) % 192.26/192.33 [4934]~P90(x49341)+E(f295(f295(f84(x49341),x49342),f81(x49341)),x49342) % 192.26/192.33 [4935]~P83(x49351)+E(f295(f295(f84(x49351),x49352),f81(x49351)),x49352) % 192.26/192.33 [4936]~P69(x49361)+E(f295(f295(f40(x49361),x49362),f81(x49361)),x49362) % 192.26/192.33 [4937]~P126(x49371)+E(f295(f295(f256(x49371),x49372),f81(x49371)),x49372) % 192.26/192.33 [4938]~P123(x49381)+E(f295(f295(f218(x49381),x49382),f2(a902)),f81(x49381)) % 192.26/192.33 [4939]~P121(x49391)+E(f295(f295(f218(x49391),x49392),f2(a902)),f81(x49391)) % 192.26/192.33 [4940]~E(x49402,f176(f911(x49401,a897)))+E(f295(f39(x49401),x49402),f2(a902)) % 192.26/192.33 [4951]~P69(x49511)+E(f46(x49511,x49512,f2(x49511)),x49512) % 192.26/192.33 [4962]~P100(x49621)+E(f295(f295(f117(x49621),x49622),f214(x49621)),f214(x49621)) % 192.26/192.33 [4963]~P101(x49631)+E(f295(f295(f108(x49631),x49632),f176(x49631)),f176(x49631)) % 192.26/192.33 [4964]~P123(x49641)+E(f295(f295(f84(x49641),x49642),f2(x49641)),f2(x49641)) % 192.26/192.33 [4965]~P134(x49651)+E(f295(f295(f84(x49651),x49652),f2(x49651)),f2(x49651)) % 192.26/192.33 [4966]~P69(x49661)+E(f295(f295(f40(x49661),x49662),f2(x49661)),f2(x49661)) % 192.26/192.33 [4967]~P127(x49671)+E(f295(f295(f256(x49671),x49672),f2(x49671)),f2(x49671)) % 192.26/192.33 [4970]~P69(x49701)+E(f46(x49701,x49702,f81(x49701)),f2(x49701)) % 192.26/192.33 [4971]~P69(x49711)+E(f46(x49711,f2(x49711),x49712),f2(x49711)) % 192.26/192.33 [5000]E(x50001,f2(a902))+E(f56(x50002,x50001,f120(x50002)),f120(f903(x50002))) % 192.26/192.33 [5023]P38(x50231,x50232)+~E(f295(f253(x50231,x50231),x50232),x50232) % 192.26/192.33 [5024]P36(x50241,x50242)+~E(f756(x50242,x50241),f176(f911(x50241,a897))) % 192.26/192.34 [5025]E(x50251,f120(x50252))+~E(f295(f160(x50252),x50251),f176(f911(x50252,a897))) % 192.26/192.34 [5026]E(x50261,f120(x50262))+~E(f176(f911(x50262,a897)),f295(f160(x50262),x50261)) % 192.26/192.34 [5029]~E(x50291,x50292)+P1(f295(f295(a292,x50291),x50292)) % 192.26/192.34 [5039]P1(x50391)+P1(f295(f295(a298,x50391),x50392)) % 192.26/192.34 [5040]E(x50401,f120(x50402))+E(f295(f295(f153(x50402),x50401),f2(a902)),f295(f130(x50402),x50401)) % 192.26/192.34 [5043]E(f141(x50431,x50432),x50432)+~P1(f295(f126(x50431),x50432)) % 192.26/192.34 [5050]~P1(x50502)+P1(f295(f295(a298,x50501),x50502)) % 192.26/192.34 [5051]~P1(x50512)+P1(f295(f295(a294,x50511),x50512)) % 192.26/192.34 [5052]~P1(x50521)+P1(f295(f295(a294,x50521),x50522)) % 192.26/192.34 [5062]~E(f633(x50622,x50621),f678(x50622,x50621))+P1(f295(f126(x50621),x50622)) % 192.26/192.34 [5069]E(f295(f212(x50691),x50692),f176(f911(x50691,a897)))+P1(f295(x50692,f300(x50692))) % 192.26/192.34 [5070]E(f176(f911(x50701,a897)),f295(f212(x50701),x50702))+P1(f295(x50702,f323(x50702))) % 192.26/192.34 [5137]~P119(x51371)+E(f295(f295(f84(x51371),x51372),f85(x51371,x51372)),f295(f77(x51371),x51372)) % 192.26/192.34 [5148]~E(x51481,f2(a1))+E(f47(x51481,x51482),f295(f295(f217(a1,a1),f2(a1)),f2(a1))) % 192.26/192.34 [5179]~P63(x51791,x51792)+P63(x51791,f295(f253(x51791,x51791),x51792)) % 192.26/192.34 [5180]~P38(x51801,x51802)+P38(x51801,f295(f253(x51801,x51801),x51802)) % 192.26/192.34 [5181]~P37(x51811,x51812)+P37(x51811,f295(f253(x51811,x51811),x51812)) % 192.26/192.34 [5182]~P39(x51821,x51822)+P39(x51821,f295(f253(x51821,x51821),x51822)) % 192.26/192.34 [5207]E(x52071,x52072)+~P1(f295(f295(a292,x52071),x52072)) % 192.26/192.34 [5218]P1(x52181)+~P1(f295(f295(a293,x52182),x52181)) % 192.26/192.34 [5219]P1(x52191)+~P1(f295(f295(a293,x52191),x52192)) % 192.26/192.34 [5225]~P117(x52251)+P1(f295(f295(f207(x52251),x52252),f214(x52251))) % 192.26/192.34 [5229]E(x52291,x52292)+~E(f295(x52291,f325(x52292,x52291)),f295(x52292,f325(x52292,x52291))) % 192.26/192.34 [5261]E(x52611,f2(a902))+E(f192(x52611,f46(a902,x52612,x52611)),f192(x52612,x52611)) % 192.26/192.34 [5266]~P114(x52661)+P12(x52661,f295(f295(f140(x52661),x52662),f120(x52661))) % 192.26/192.34 [5268]E(x52681,f2(a1))+P1(f295(f50(x52682,x52681),f47(x52682,x52681))) % 192.26/192.34 [5284]~P14(x52842,x52841)+P1(f295(f295(x52841,f330(x52841)),f330(x52841))) % 192.26/192.34 [5287]~E(x52871,x52872)+P1(f295(f295(f208(a902),x52871),f295(a119,x52872))) % 192.26/192.34 [5297]~E(x52971,f2(a902))+P1(f295(f295(f208(a902),x52971),f295(a119,x52972))) % 192.26/192.34 [5307]P1(f295(x53071,x53072))+P1(f295(f295(f207(a1),f2(a1)),f474(x53071))) % 192.26/192.34 [5371]P63(x53711,x53712)+~P63(x53711,f295(f253(x53711,x53711),x53712)) % 192.26/192.34 [5372]P38(x53721,x53722)+~P38(x53721,f295(f253(x53721,x53721),x53722)) % 192.26/192.34 [5373]P37(x53731,x53732)+~P37(x53731,f295(f253(x53731,x53731),x53732)) % 192.26/192.34 [5374]P39(x53741,x53742)+~P39(x53741,f295(f253(x53741,x53741),x53742)) % 192.26/192.34 [5377]~E(f46(a902,x53772,x53771),f2(a902))+E(f295(f295(f84(a902),x53771),f524(x53771,x53772)),x53772) % 192.26/192.34 [5378]~E(f46(a1,x53782,x53781),f2(a1))+E(f295(f295(f84(a1),x53781),f525(x53781,x53782)),x53782) % 192.26/192.34 [5401]~P1(f295(x54011,x54012))+P1(f295(f295(f207(a1),f2(a1)),f432(x54011))) % 192.26/192.34 [5412]E(f295(f295(f23(a902),f295(a111,x54121)),f295(a111,x54122)),f295(a111,x54121))+~P1(f295(a179,x54122)) % 192.26/192.34 [5441]E(f243(x54411,x54412),f81(a106))+~P1(f295(f295(f207(a106),x54411),f81(a106))) % 192.26/192.34 [5540]E(f295(f295(f153(x55401),x55402),f633(x55402,x55401)),f295(f295(f153(x55401),x55402),f678(x55402,x55401)))+P1(f295(f126(x55401),x55402)) % 192.26/192.34 [5583]~P1(f295(x55831,f93(x55832,x55831)))+P1(f295(x55831,f687(x55832,x55831))) % 192.26/192.34 [5647]P65(x56471,x56472)+~P1(f295(f284(x56471,x56472),f724(x56472,x56471))) % 192.26/192.34 [5786]~P14(x57862,x57861)+P1(f295(f295(x57861,f332(x57861,x57862)),f332(x57861,x57862))) % 192.26/192.34 [5787]~P14(x57872,x57871)+P1(f295(f295(x57871,f434(x57871,x57872)),f434(x57871,x57872))) % 192.26/192.34 [5796]~E(f295(a119,f46(a902,x57961,x57962)),x57962)+E(f46(a902,f295(a119,x57961),x57962),f2(a902)) % 192.26/192.34 [5850]P36(x58501,x58502)+P1(f295(f295(f297(x58501),f778(x58502,x58501)),f779(x58502,x58501))) % 192.26/192.34 [5857]~P118(x58571)+P1(f295(f295(f297(x58571),f295(f107(x58571),x58572)),f173(x58571))) % 192.26/192.34 [5858]~P145(x58581)+P1(f295(f295(f297(x58581),f295(f107(x58581),x58582)),f116(x58581))) % 192.26/192.34 [5859]~P145(x58591)+P1(f295(f295(f297(x58591),f295(f109(x58591),x58592)),f116(x58591))) % 192.26/192.34 [5860]~P104(x58601)+P1(f295(f295(f297(x58601),f295(f110(x58601),x58602)),f116(x58601))) % 192.26/192.34 [5993]~P37(x59931,x59932)+E(f295(f295(f255(x59931,x59931,x59931),x59932),f273(x59931,x59932)),x59932) % 192.26/192.34 [6006]E(f295(a119,f46(a902,x60061,x60062)),x60062)+E(f46(a902,f295(a119,x60061),x60062),f295(a119,f46(a902,x60061,x60062))) % 192.26/192.34 [6412]P36(x64121,x64122)+~P1(f295(f295(f297(x64121),f638(x64122,x64121)),f285(x64121,x64122))) % 192.26/192.34 [6451]~P131(x64511)+~P1(f295(f295(f208(x64511),f295(f107(x64511),x64512)),f2(x64511))) % 192.26/192.34 [6452]~P93(x64521)+~P1(f295(f295(f208(x64521),f295(f77(x64521),x64522)),f2(x64521))) % 192.26/192.34 [6540]P1(f295(f295(f208(a1),x65401),f46(a1,x65402,x65401)))+~P1(f295(f295(f208(a1),x65401),f2(a1))) % 192.26/192.34 [6641]E(f295(f295(f275(a902),f295(a119,x66411)),f269(a902,x66412,x66411)),f269(a902,x66412,f295(a119,x66411)))+~P1(f295(f295(f207(a902),x66412),f295(a119,x66411))) % 192.26/192.34 [6728]~P114(x67281)+P12(x67281,f139(x67281,x67281,f5(x67281),x67282)) % 192.26/192.34 [6855]E(f295(f156(x68551),x68552),x68552)+~P1(f295(f295(f207(a902),f295(f177(f903(x68551)),x68552)),f81(a902))) % 192.26/192.34 [6874]~P93(x68741)+P1(f295(f295(f207(x68741),f295(f82(x68741),f295(f77(x68741),x68742))),f2(x68741))) % 192.26/192.34 [6904]~P36(x69041,x69042)+P36(x69041,f295(f295(f255(x69041,x69041,x69041),x69042),f273(x69041,x69042))) % 192.26/192.34 [6905]~P38(x69051,x69052)+P38(x69051,f295(f295(f255(x69051,x69051,x69051),x69052),f273(x69051,x69052))) % 192.26/192.34 [7125]~P1(f295(f295(f208(a1),x71252),f2(a1)))+P1(f295(f295(f207(a1),f46(a1,x71251,x71252)),f2(a1))) % 192.26/192.34 [7526]~P118(x75261)+E(f178(x75261,f295(f295(f7(x75261,x75261,x75261),f83(x75261)),f81(x75261)),x75262,f2(x75261)),f295(f107(x75261),x75262)) % 192.26/192.34 [7555]~P132(x75551)+~P1(f295(f295(f208(x75551),f295(f295(f84(x75551),x75552),x75552)),f2(x75551))) % 192.26/192.34 [10204]~P119(x102041)+~P1(f295(f295(f208(x102041),f295(f295(f218(x102041),x102042),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f2(x102041))) % 192.26/192.34 [4822]~E(x48222,f120(x48221))+E(f295(f177(f903(x48221)),x48222),f2(a902)) % 192.26/192.34 [4867]~E(x48671,f2(a902))+E(f295(f295(f83(a902),x48671),x48672),x48672) % 192.26/192.34 [4868]~E(x48682,f2(a902))+E(f295(f295(f218(a902),x48681),x48682),f81(a902)) % 192.26/192.34 [4869]~E(x48692,f2(a902))+E(f295(f295(f84(a902),x48691),x48692),f2(a902)) % 192.26/192.34 [4871]~E(x48711,f2(a902))+E(f295(f295(f84(a902),x48711),x48712),f2(a902)) % 192.26/192.34 [4872]~E(x48722,f2(a1))+E(f295(f295(f40(a1),x48721),x48722),f2(a1)) % 192.26/192.34 [4883]E(x48831,f120(x48832))+~E(f295(f177(f903(x48832)),x48831),f2(a902)) % 192.26/192.34 [4884]~P99(x48841)+E(f295(f295(f117(x48841),x48842),x48842),x48842) % 192.26/192.34 [4886]~P109(x48861)+E(f295(f295(f117(x48861),x48862),x48862),x48862) % 192.26/192.34 [4887]~P99(x48871)+E(f295(f295(f108(x48871),x48872),x48872),x48872) % 192.26/192.34 [4889]~P110(x48891)+E(f295(f295(f108(x48891),x48892),x48892),x48892) % 192.26/192.34 [4891]~P114(x48911)+E(f295(f295(f205(x48911),x48912),x48912),x48912) % 192.26/192.34 [4893]~P114(x48931)+E(f295(f295(f206(x48931),x48932),x48932),x48932) % 192.26/192.34 [4895]~P106(x48951)+E(f295(f295(f84(x48951),x48952),x48952),x48952) % 192.26/192.34 [4913]~P76(x49131)+E(f295(f295(f23(x49131),x49132),x49132),f2(x49131)) % 192.26/192.34 [4925]~P102(x49251)+E(f295(f82(x49251),f295(f82(x49251),x49252)),x49252) % 192.26/192.34 [4926]~P76(x49261)+E(f295(f82(x49261),f295(f82(x49261),x49262)),x49262) % 192.26/192.34 [4943]~E(x49432,f2(a902))+E(f295(f295(f218(a902),x49431),x49432),f295(a119,f2(a902))) % 192.26/192.34 [4979]~P101(x49791)+E(f295(f295(f117(x49791),f176(x49791)),x49792),x49792) % 192.26/192.34 [4980]~P100(x49801)+E(f295(f295(f108(x49801),f214(x49801)),x49802),x49802) % 192.26/192.34 [4981]~P77(x49811)+E(f295(f295(f83(x49811),f2(x49811)),x49812),x49812) % 192.26/192.34 [4982]~P88(x49821)+E(f295(f295(f83(x49821),f2(x49821)),x49822),x49822) % 192.26/192.34 [4983]~P123(x49831)+E(f295(f295(f83(x49831),f2(x49831)),x49832),x49832) % 192.26/192.34 [4984]~P123(x49841)+E(f295(f295(f84(x49841),f81(x49841)),x49842),x49842) % 192.26/192.34 [4985]~P90(x49851)+E(f295(f295(f84(x49851),f81(x49851)),x49852),x49852) % 192.26/192.34 [4986]~P83(x49861)+E(f295(f295(f84(x49861),f81(x49861)),x49862),x49862) % 192.26/192.34 [5004]~P100(x50041)+E(f295(f295(f117(x50041),f214(x50041)),x50042),f214(x50041)) % 192.26/192.34 [5005]~P101(x50051)+E(f295(f295(f108(x50051),f176(x50051)),x50052),f176(x50051)) % 192.26/192.34 [5006]~P90(x50061)+E(f295(f295(f218(x50061),f81(x50061)),x50062),f81(x50061)) % 192.26/192.34 [5007]~P123(x50071)+E(f295(f295(f84(x50071),f2(x50071)),x50072),f2(x50071)) % 192.26/192.34 [5008]~P134(x50081)+E(f295(f295(f84(x50081),f2(x50081)),x50082),f2(x50081)) % 192.26/192.34 [5009]~P69(x50091)+E(f295(f295(f40(x50091),f2(x50091)),x50092),f2(x50091)) % 192.26/192.34 [5010]~P126(x50101)+E(f295(f295(f256(x50101),f2(x50101)),x50102),f2(x50101)) % 192.26/192.34 [5018]E(x50181,f120(x50182))+E(f133(x50182,f295(f157(x50182),x50181)),f295(f130(x50182),x50181)) % 192.26/192.34 [5019]E(x50191,f120(x50192))+E(f295(f130(x50192),f295(f157(x50192),x50191)),f133(x50192,x50191)) % 192.26/192.34 [5020]E(x50201,f2(a902))+~E(f295(f295(f83(a902),x50202),x50201),x50202) % 192.26/192.34 [5027]~P145(x50271)+E(f295(f109(x50271),f295(f107(a1),x50272)),f295(f107(x50271),x50272)) % 192.26/192.34 [5028]~P104(x50281)+E(f295(f109(x50281),f295(f110(a1),x50282)),f295(f110(x50281),x50282)) % 192.26/192.34 [5035]E(x50351,f2(a902))+~E(f295(f295(f83(a902),x50352),x50351),f2(a902)) % 192.26/192.34 [5036]E(x50361,f2(a902))+~E(f295(f295(f83(a902),x50361),x50362),f2(a902)) % 192.26/192.34 [5037]E(x50371,f81(a902))+~E(f295(f295(f84(a902),x50372),x50371),f81(a902)) % 192.26/192.34 [5038]E(x50381,f81(a902))+~E(f295(f295(f84(a902),x50381),x50382),f81(a902)) % 192.26/192.34 [5055]~P93(x50551)+E(f295(f77(x50551),f295(f82(x50551),x50552)),f295(f77(x50551),x50552)) % 192.26/192.34 [5056]~P119(x50561)+E(f295(f77(x50561),f295(f107(x50561),x50562)),f295(f107(x50561),x50562)) % 192.26/192.34 [5057]~P93(x50571)+E(f295(f77(x50571),f295(f77(x50571),x50572)),f295(f77(x50571),x50572)) % 192.26/192.34 [5058]~P77(x50581)+E(f295(f154(x50581),f295(f157(x50581),x50582)),f295(f154(x50581),x50582)) % 192.26/192.34 [5063]~E(x50631,f295(a119,f2(a902)))+E(f295(f295(f218(a902),x50631),x50632),f295(a119,f2(a902))) % 192.26/192.34 [5072]~P76(x50721)+E(f295(f295(f23(x50721),f2(x50721)),x50722),f295(f82(x50721),x50722)) % 192.26/192.34 [5073]~E(x50732,f2(a902))+E(f128(a902,f295(f268(a902,x50731),x50732)),f120(a902)) % 192.26/192.34 [5082]~P104(x50821)+E(f295(f295(f83(x50821),x50822),f295(f110(x50821),a86)),x50822) % 192.26/192.34 [5083]E(x50831,f2(a1))+E(f48(f295(f77(a1),x50832),f295(f77(a1),x50831)),f54(x50832,x50831)) % 192.26/192.34 [5097]~E(x50971,x50972)+P1(f295(f295(f207(a902),x50971),x50972)) % 192.26/192.34 [5104]~E(x51041,f2(a106))+E(f295(f295(f83(a902),f295(a20,x51041)),x51042),x51042) % 192.26/192.34 [5105]~E(f295(f110(a1),x51052),f295(f107(a1),x51051))+E(x51051,f295(a111,f295(f110(a1),x51052))) % 192.26/192.34 [5118]~P7(x51181)+P7(f295(f295(f218(a1),x51181),x51182)) % 192.26/192.34 [5119]~P102(x51191)+E(f295(f295(f117(x51191),x51192),f295(f82(x51191),x51192)),f214(x51191)) % 192.26/192.34 [5120]~P102(x51201)+E(f295(f295(f108(x51201),x51202),f295(f82(x51201),x51202)),f176(x51201)) % 192.26/192.34 [5121]~P76(x51211)+E(f295(f295(f83(x51211),x51212),f295(f82(x51211),x51212)),f2(x51211)) % 192.26/192.34 [5145]E(x51451,f2(a902))+~E(f295(f82(a1),f295(f107(a1),x51452)),f295(f107(a1),x51451)) % 192.26/192.34 [5146]E(x51461,f2(a902))+~E(f295(f82(a1),f295(f107(a1),x51461)),f295(f107(a1),x51462)) % 192.26/192.34 [5157]E(f183(x51571,x51572),f2(a1))+P1(f295(f295(f207(a1),x51572),x51571)) % 192.26/192.34 [5158]E(f165(x51581,x51582),f120(a1))+P1(f295(f295(f207(a1),x51581),x51582)) % 192.26/192.34 [5171]E(x51711,f295(a119,f2(a902)))+~E(f295(f295(f84(a902),x51712),x51711),f295(a119,f2(a902))) % 192.26/192.34 [5172]E(x51721,f295(a119,f2(a902)))+~E(f295(f295(f84(a902),x51721),x51722),f295(a119,f2(a902))) % 192.26/192.34 [5173]~P112(x51731)+P1(f295(f295(f207(x51731),x51732),x51732)) % 192.26/192.34 [5176]~P104(x51761)+E(f295(f295(f84(x51761),x51762),f295(f110(x51761),a104)),f295(f82(x51761),x51762)) % 192.26/192.34 [5196]~P145(x51961)+E(f295(f82(x51961),f295(f109(x51961),x51962)),f295(f109(x51961),f295(f82(a1),x51962))) % 192.26/192.34 [5197]~P104(x51971)+E(f295(f82(x51971),f295(f110(x51971),x51972)),f295(f110(x51971),f295(f82(a1),x51972))) % 192.26/192.34 [5232]~E(x52321,f295(a119,x52322))+P1(f295(f295(f208(a902),f2(a902)),x52321)) % 192.26/192.34 [5250]~P114(x52501)+E(f295(f82(f911(x52501,a897)),f295(f249(x52501),x52502)),f295(f250(x52501),x52502)) % 192.26/192.34 [5251]~P114(x52511)+E(f295(f82(f911(x52511,a897)),f295(f270(x52511),x52512)),f295(f267(x52511),x52512)) % 192.26/192.34 [5252]~P114(x52521)+E(f295(f82(f911(x52521,a897)),f295(f250(x52521),x52522)),f295(f249(x52521),x52522)) % 192.26/192.34 [5253]~P114(x52531)+E(f295(f82(f911(x52531,a897)),f295(f267(x52531),x52532)),f295(f270(x52531),x52532)) % 192.26/192.34 [5260]~E(f295(f107(a1),x52602),x52601)+P1(f295(f295(f207(a1),f2(a1)),x52601)) % 192.26/192.34 [5267]~E(x52672,f2(a1))+E(f54(x52671,x52672),f295(f295(f217(a1,a1),f2(a1)),f295(f77(a1),x52671))) % 192.26/192.34 [5269]~P115(x52691)+P1(f295(f295(f207(x52691),f176(x52691)),x52692)) % 192.26/192.34 [5302]E(x53021,x53022)+~E(f295(f295(f83(a1),x53021),x53021),f295(f295(f83(a1),x53022),x53022)) % 192.26/192.34 [5306]~P1(f295(x53061,x53062))+P1(f295(x53061,f295(a111,f432(x53061)))) % 192.26/192.34 [5332]~P119(x53321)+E(f295(f295(f84(x53321),f85(x53321,x53322)),f295(f77(x53321),x53322)),x53322) % 192.26/192.34 [5333]E(x53331,x53332)+~P1(f295(f295(f182(a25),x53331),x53332)) % 192.26/192.34 [5340]~E(x53402,f2(a902))+E(f88(f910(a902,a902),f49(x53401,x53402)),f295(f295(f217(a902,a902),f2(a902)),x53401)) % 192.26/192.34 [5345]~E(x53451,x53452)+~P1(f295(f295(f208(a902),x53451),x53452)) % 192.26/192.34 [5346]~E(x53461,x53462)+~P1(f295(f295(f208(a1),x53461),x53462)) % 192.26/192.34 [5349]~P118(x53491)+E(f295(f295(f83(x53491),f81(x53491)),f295(f107(x53491),x53492)),f295(f107(x53491),f295(a119,x53492))) % 192.26/192.34 [5353]~E(x53531,f2(a902))+~P1(f295(f295(f208(a902),x53532),x53531)) % 192.26/192.34 [5367]E(f141(x53671,x53672),x53672)+~E(f295(f177(f903(x53671)),f141(x53671,x53672)),f295(f177(f903(x53671)),x53672)) % 192.26/192.34 [5368]E(f295(f39(x53681),f295(f160(x53681),x53682)),f295(f177(f903(x53681)),x53682))+~P1(f295(f126(x53681),x53682)) % 192.26/192.34 [5382]~P1(f295(x53821,f433(x53821)))+P1(f295(x53821,f295(f107(a1),x53822))) % 192.26/192.34 [5393]E(f165(x53931,x53932),f120(a1))+~P1(f295(f295(f208(a1),x53932),x53931)) % 192.26/192.34 [5394]E(f243(x53941,x53942),f81(a106))+~P1(f295(f295(f208(a106),x53942),x53941)) % 192.26/192.34 [5395]~P116(x53951)+E(f269(x53951,x53952,x53952),f295(f295(f275(x53951),x53952),f176(f911(x53951,a897)))) % 192.26/192.34 [5415]~E(f295(f295(f23(a902),x54151),x54152),f2(a902))+P1(f295(f295(f207(a902),x54151),x54152)) % 192.26/192.34 [5438]~E(x54382,f2(a902))+E(f56(x54381,x54382,f120(x54381)),f295(f295(f140(f903(x54381)),f120(x54381)),f120(f903(x54381)))) % 192.26/192.34 [5442]~P112(x54421)+~P1(f295(f295(f208(x54421),x54422),x54422)) % 192.26/192.34 [5444]~E(f46(a1,x54441,x54442),f2(a1))+E(f46(a1,x54441,f295(f82(a1),x54442)),f2(a1)) % 192.26/192.34 [5446]~E(f46(a1,x54461,x54462),f2(a1))+E(f46(a1,f295(f82(a1),x54461),x54462),f2(a1)) % 192.26/192.34 [5452]E(f295(f268(a902,x54521),f295(a119,x54522)),f176(f911(a902,a897)))+P1(f295(f295(f207(a902),x54521),x54522)) % 192.26/192.34 [5479]E(f128(a902,f295(f268(a902,x54791),x54792)),f120(a902))+P1(f295(f295(f208(a902),x54791),x54792)) % 192.26/192.34 [5484]~E(f295(f39(x54841),f295(f160(x54841),x54842)),f295(f177(f903(x54841)),x54842))+P1(f295(f126(x54841),x54842)) % 192.26/192.34 [5490]~P1(f295(f126(x54901),x54902))+P1(f295(f126(x54901),f295(f156(x54901),x54902))) % 192.26/192.34 [5491]~P1(f295(f126(x54911),x54912))+P1(f295(f126(x54911),f295(f159(x54911),x54912))) % 192.26/192.34 [5492]~P1(f295(f126(x54921),x54922))+P1(f295(f126(x54921),f295(f157(x54921),x54922))) % 192.26/192.34 [5500]P1(f295(x55001,x55002))+~P1(f295(x55001,f295(a111,f474(x55001)))) % 192.26/192.34 [5501]P1(f295(f295(f207(a902),x55012),x55011))+P1(f295(f295(f207(a902),x55011),x55012)) % 192.26/192.34 [5502]P1(f295(f295(f207(a1),x55022),x55021))+P1(f295(f295(f207(a1),x55021),x55022)) % 192.26/192.34 [5506]~P93(x55061)+P1(f295(f295(f207(x55061),x55062),f295(f77(x55061),x55062))) % 192.26/192.34 [5509]P1(f295(x55091,f456(x55091)))+~P1(f295(x55091,f295(f107(a1),x55092))) % 192.26/192.34 [5533]E(f295(f295(f23(a902),x55331),x55332),f2(a902))+~P1(f295(f295(f207(a902),x55331),x55332)) % 192.26/192.34 [5534]E(f295(f295(f40(a902),x55341),x55342),f2(a902))+~P1(f295(f295(f208(a902),x55341),x55342)) % 192.26/192.34 [5552]E(f46(a902,x55521,x55522),x55521)+~P1(f295(f295(f208(a902),x55521),x55522)) % 192.26/192.34 [5560]E(f46(a1,x55601,f295(f82(a1),x55602)),f257(x55601,x55602))+P1(f295(f295(f207(a1),f2(a1)),x55602)) % 192.26/192.34 [5572]E(f295(f295(f23(a1),x55721),x55722),f183(x55721,x55722))+~P1(f295(f295(f207(a1),x55722),x55721)) % 192.26/192.34 [5592]P1(f295(f295(f207(a1),f2(a1)),f433(x55921)))+P1(f295(x55921,f295(f107(a1),x55922))) % 192.26/192.34 [5605]~P131(x56051)+P1(f295(f295(f207(x56051),f2(x56051)),f295(f107(x56051),x56052))) % 192.26/192.34 [5606]~P93(x56061)+P1(f295(f295(f207(x56061),f2(x56061)),f295(f77(x56061),x56062))) % 192.26/192.34 [5633]E(f295(f295(f83(a902),x56331),f379(x56332,x56331)),x56332)+~P1(f295(f295(f207(a902),x56331),x56332)) % 192.26/192.34 [5645]~E(f295(f110(a1),x56451),f295(f107(a1),x56452))+P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x56451))) % 192.26/192.34 [5648]E(f269(a1,x56481,x56482),f176(f911(a1,a897)))+~P1(f295(f295(f208(a1),x56482),x56481)) % 192.26/192.34 [5651]~P119(x56511)+E(f295(f295(f84(x56511),f295(f77(x56511),x56512)),f295(f77(x56511),x56512)),f295(f295(f84(x56511),x56512),x56512)) % 192.26/192.34 [5656]E(f128(a902,f295(f268(a902,x56561),f295(a119,x56562))),f120(a902))+P1(f295(f295(f207(a902),x56561),x56562)) % 192.26/192.34 [5660]E(f295(f295(f40(a1),x56601),x56602),f258(x56601,x56602))+~P1(f295(f295(f207(a1),f2(a1)),x56602)) % 192.26/192.34 [5680]P1(f295(f126(x56801),x56802))+~P1(f295(f126(x56801),f295(f156(x56801),x56802))) % 192.26/192.34 [5681]P1(f295(f126(x56811),x56812))+~P1(f295(f126(x56811),f295(f157(x56811),x56812))) % 192.26/192.34 [5706]P1(f295(f62(a902),x57061))+P1(f295(f295(f297(a902),f331(x57061,x57062)),x57061)) % 192.26/192.34 [5707]P1(f295(f62(a902),x57071))+P1(f295(f295(f297(a902),f372(x57071,x57072)),x57071)) % 192.26/192.34 [5708]P1(f295(f295(f208(a902),x57082),f295(a119,x57081)))+P1(f295(f295(f208(a902),x57081),x57082)) % 192.26/192.34 [5709]E(f46(a1,x57091,x57092),f257(x57091,x57092))+~P1(f295(f295(f207(a1),f2(a1)),x57092)) % 192.26/192.34 [5712]E(f128(a902,f295(f268(a902,x57121),x57122)),f120(a902))+~P1(f295(f295(f207(a902),x57122),x57121)) % 192.26/192.34 [5713]~P87(x57131)+E(f295(f276(x57131,x57131,f82(x57131)),f295(f249(x57131),x57132)),f295(f270(x57131),f295(f82(x57131),x57132))) % 192.26/192.34 [5714]~P87(x57141)+E(f295(f276(x57141,x57141,f82(x57141)),f295(f270(x57141),x57142)),f295(f249(x57141),f295(f82(x57141),x57142))) % 192.26/192.34 [5715]~P87(x57151)+E(f295(f276(x57151,x57151,f82(x57151)),f295(f250(x57151),x57152)),f295(f267(x57151),f295(f82(x57151),x57152))) % 192.26/192.34 [5716]~P87(x57161)+E(f295(f276(x57161,x57161,f82(x57161)),f295(f267(x57161),x57162)),f295(f250(x57161),f295(f82(x57161),x57162))) % 192.26/192.34 [5727]E(x57271,f176(f911(x57272,a897)))+P1(f295(f295(f297(x57272),f315(x57271,x57272)),x57271)) % 192.26/192.34 [5728]E(x57281,f176(f911(x57282,a897)))+P1(f295(f295(f297(x57282),f321(x57281,x57282)),x57281)) % 192.26/192.34 [5739]~P1(f295(f295(f208(a902),x57391),x57392))+P1(f295(f295(f207(a902),x57391),x57392)) % 192.26/192.34 [5740]~P1(f295(f295(f208(a1),x57401),x57402))+P1(f295(f295(f207(a1),x57401),x57402)) % 192.26/192.34 [5756]E(f48(x57561,x57562),f295(f295(f217(a1,a1),f2(a1)),x57561))+~P1(f295(f295(f208(a1),x57561),x57562)) % 192.26/192.34 [5757]E(f191(f295(f82(a1),x57571),f295(f82(a1),x57572)),f191(x57571,x57572))+~P1(f295(f295(f208(a1),x57572),f2(a1))) % 192.26/192.34 [5768]E(x57681,x57682)+~E(f295(a3,f295(a119,f295(a20,x57681))),f295(a3,f295(a119,f295(a20,x57682)))) % 192.26/192.34 [5773]E(f48(x57731,x57732),f295(f295(f217(a1,a1),f2(a1)),x57731))+~P1(f295(f295(f207(a1),x57732),f2(a1))) % 192.26/192.34 [5802]E(f46(a902,f295(f110(a902),x58021),f295(f110(a902),x58022)),f2(a902))+~P1(f295(a179,f295(f110(a1),x58021))) % 192.26/192.34 [5816]P1(f295(f295(f207(a1),f2(a1)),f456(x58161)))+~P1(f295(x58161,f295(f107(a1),x58162))) % 192.26/192.34 [5848]P40(f269(a1,x58481,x58482))+~P1(f295(f295(f207(a1),f2(a1)),x58481)) % 192.26/192.34 [5853]~P1(f295(f62(x58531),x58532))+P1(f295(f62(f911(x58531,a897)),f295(f274(x58531),x58532))) % 192.26/192.34 [5866]E(f295(f295(f83(a1),x58661),f295(f107(a1),f461(x58662,x58661))),x58662)+~P1(f295(f295(f207(a1),x58661),x58662)) % 192.26/192.34 [5874]P1(f295(f295(f207(a902),x58741),x58742))+P1(f295(f295(f207(a902),f295(a119,x58742)),x58741)) % 192.26/192.34 [5917]E(f295(f295(f40(a902),f295(f110(a902),x59171)),f295(f110(a902),x59172)),f2(a902))+~P1(f295(a179,f295(f110(a1),x59171))) % 192.26/192.34 [5918]E(f295(f295(f84(a902),f295(f110(a902),x59181)),f295(f110(a902),x59182)),f2(a902))+~P1(f295(f295(f208(a1),x59181),a86)) % 192.26/192.34 [5920]P1(f295(f295(f207(a902),x59201),f295(a119,x59202)))+~P1(f295(f295(f207(a902),x59201),x59202)) % 192.26/192.34 [5922]P1(f295(f295(f208(a902),x59221),f295(a119,x59222)))+~P1(f295(f295(f207(a902),x59221),x59222)) % 192.26/192.34 [5924]P1(f295(f295(f208(a902),x59241),f295(a119,x59242)))+~P1(f295(f295(f208(a902),x59241),x59242)) % 192.26/192.34 [5927]~E(x59271,x59272)+P1(f295(f295(f208(a1),x59271),f295(f295(f83(a1),x59272),f81(a1)))) % 192.26/192.34 [5930]E(f46(a1,x59301,x59302),f2(a1))+E(f295(f295(f23(a1),x59302),f46(a1,x59301,x59302)),f46(a1,f295(f82(a1),x59301),x59302)) % 192.26/192.34 [5939]E(x59391,f120(x59392))+P1(f295(f295(f297(x59392),f133(x59392,x59391)),f295(f160(x59392),x59391))) % 192.26/192.34 [5951]E(f88(f910(a902,a902),f49(x59511,x59512)),f295(f295(f217(a902,a902),f2(a902)),x59511))+~P1(f295(f295(f208(a902),x59511),x59512)) % 192.26/192.34 [5986]E(f295(f295(f23(a902),f295(f110(a902),x59861)),f295(f110(a902),x59862)),f295(f110(a902),x59861))+~P1(f295(f295(f208(a1),x59862),a86)) % 192.26/192.34 [5987]E(f295(f295(f83(a902),f295(f110(a902),x59871)),f295(f110(a902),x59872)),f295(f110(a902),x59872))+~P1(f295(f295(f208(a1),x59871),a86)) % 192.26/192.34 [5994]E(f295(a119,f295(f295(f83(a902),x59941),f426(x59942,x59941))),x59942)+~P1(f295(f295(f208(a902),x59941),x59942)) % 192.26/192.34 [6016]P1(f295(x60161,x60162))+~P1(f295(x60161,f295(a92,f744(x60162,x60161)))) % 192.26/192.34 [6025]~P1(f295(f295(f208(a902),x60251),f295(a119,x60252)))+P1(f295(f295(f207(a902),x60251),x60252)) % 192.26/192.34 [6070]E(f295(f295(f275(a902),x60701),f295(f268(a902,x60702),x60701)),f295(f268(a902,x60702),f295(a119,x60701)))+~P1(f295(f295(f207(a902),x60702),x60701)) % 192.26/192.34 [6072]E(x60721,f120(x60722))+E(f295(f295(f122(x60722),f121(x60722,x60721)),f295(f295(f140(x60722),f133(x60722,x60721)),f120(x60722))),x60721) % 192.26/192.34 [6089]P1(f295(f62(x60891),x60892))+~P1(f295(f295(f208(a902),f2(a902)),f295(f39(x60891),x60892))) % 192.26/192.34 [6092]~E(x60921,f176(f911(x60922,a897)))+~P1(f295(f295(f208(a902),f2(a902)),f295(f39(x60922),x60921))) % 192.26/192.34 [6103]~P1(f295(f295(f208(a902),x61031),x61032))+P1(f295(f295(f207(a902),f295(a119,x61031)),x61032)) % 192.26/192.34 [6109]~P114(x61091)+E(f139(x61091,x61091,f5(x61091),f141(x61091,x61092)),f128(x61091,f295(f160(x61091),x61092))) % 192.26/192.34 [6112]E(x61121,f120(x61122))+P1(f295(f295(f297(x61122),f295(f130(x61122),x61121)),f295(f160(x61122),x61121))) % 192.26/192.34 [6118]~P131(x61181)+P1(f295(f295(f208(x61181),x61182),f295(f295(f83(x61181),x61182),f81(x61181)))) % 192.26/192.34 [6120]~P93(x61201)+P1(f295(f295(f207(x61201),f295(f82(x61201),x61202)),f295(f77(x61201),x61202))) % 192.26/192.34 [6153]P1(f295(f62(a902),x61531))+~P1(f295(f295(f207(a902),f372(x61531,x61532)),x61532)) % 192.26/192.34 [6154]P1(f295(f62(a902),x61541))+~P1(f295(f295(f208(a902),f331(x61541,x61542)),x61542)) % 192.26/192.34 [6158]~P1(f295(f62(f910(x61581,x61581)),x61582))+P1(f295(f62(x61581),f295(f248(x61581),x61582))) % 192.26/192.34 [6210]~P1(f295(f295(f208(a902),x62102),f295(a119,x62101)))+~P1(f295(f295(f208(a902),x62101),x62102)) % 192.26/192.34 [6211]~P116(x62111)+E(f295(f295(f108(f911(x62111,a897)),f295(f267(x62111),x62112)),f295(f250(x62111),x62112)),f295(f295(f275(x62111),x62112),f176(f911(x62111,a897)))) % 192.26/192.34 [6224]P1(f295(f62(x62241),x62242))+~P1(f295(f62(f911(x62241,a897)),f295(f274(x62241),x62242))) % 192.26/192.34 [6246]P1(f295(f295(f207(a902),f295(a119,x62461)),f295(a119,x62462)))+~P1(f295(f295(f207(a902),x62461),x62462)) % 192.26/192.34 [6247]P1(f295(f295(f207(a902),f295(a20,x62471)),f295(a20,x62472)))+~P1(f295(f295(f207(a106),x62471),x62472)) % 192.26/192.34 [6248]P1(f295(f295(f207(a106),f295(a3,x62481)),f295(a3,x62482)))+~P1(f295(f295(f207(a902),x62481),x62482)) % 192.26/192.34 [6250]P1(f295(f295(f208(a902),f295(a119,x62501)),f295(a119,x62502)))+~P1(f295(f295(f208(a902),x62501),x62502)) % 192.26/192.34 [6251]P1(f295(f295(f208(a902),f295(a20,x62511)),f295(a20,x62512)))+~P1(f295(f295(f208(a106),x62511),x62512)) % 192.26/192.34 [6252]P1(f295(f295(f208(a106),f295(a3,x62521)),f295(a3,x62522)))+~P1(f295(f295(f208(a902),x62521),x62522)) % 192.26/192.34 [6257]E(x62571,x62572)+~E(f295(f276(a902,a1,f107(a1)),x62571),f295(f276(a902,a1,f107(a1)),x62572)) % 192.26/192.34 [6273]P1(f295(f295(f207(a902),x62731),x62732))+~P1(f295(f295(f207(a902),f295(a119,x62731)),x62732)) % 192.26/192.34 [6276]P1(f295(f295(f208(a902),x62761),x62762))+~P1(f295(f295(f207(a902),f295(a119,x62761)),x62762)) % 192.26/192.34 [6277]P1(f295(f295(f208(a902),x62771),x62772))+~P1(f295(f295(f208(a902),f295(a119,x62771)),x62772)) % 192.26/192.34 [6293]E(f46(a1,x62931,x62932),f2(a1))+E(f295(f295(f23(a1),f46(a1,x62931,x62932)),x62932),f46(a1,x62931,f295(f82(a1),x62932))) % 192.26/192.34 [6354]E(f295(f39(f911(x63541,a897)),f295(f274(x63541),x63542)),f295(f295(f218(a902),f295(a119,f295(a119,f2(a902)))),f295(f39(x63541),x63542)))+~P1(f295(f62(x63541),x63542)) % 192.26/192.34 [6357]E(x63571,f120(x63572))+E(f295(f295(f153(x63572),x63571),f295(f295(f23(a902),f295(f177(f903(x63572)),x63571)),f81(a902))),f133(x63572,x63571)) % 192.26/192.34 [6379]E(x63791,f120(x63792))+E(f295(f295(f122(x63792),f295(f159(x63792),x63791)),f295(f295(f140(x63792),f295(f130(x63792),x63791)),f120(x63792))),f295(f156(x63792),x63791)) % 192.26/192.34 [6409]~P1(f295(f62(x64091),f41(f911(x64091,a897),x64092)))+P1(f295(f62(f911(x64091,a897)),x64092)) % 192.26/192.34 [6432]P1(f295(f295(f207(a902),f295(f110(a902),x64321)),f295(f110(a902),x64322)))+~P1(f295(f295(f207(a1),x64321),a86)) % 192.26/192.34 [6453]~P1(f295(f295(f208(a1),x64531),x64532))+P1(f295(f295(f207(a1),x64531),f295(f295(f23(a1),x64532),f81(a1)))) % 192.26/192.34 [6454]~P1(f295(f295(f207(a1),x64541),x64542))+P1(f295(f295(f208(a1),x64541),f295(f295(f83(a1),x64542),f81(a1)))) % 192.26/192.34 [6455]~P1(f295(f295(f208(a1),x64551),x64552))+P1(f295(f295(f208(a1),x64551),f295(f295(f83(a1),x64552),f81(a1)))) % 192.26/192.34 [6457]~P1(f295(f295(f207(a1),x64571),x64572))+P1(f295(f295(f207(a902),f295(f110(a902),x64571)),f295(f110(a902),x64572))) % 192.26/192.34 [6459]~P1(f295(f295(f207(a902),x64591),x64592))+P1(f295(f295(f207(a1),f295(f107(a1),x64591)),f295(f107(a1),x64592))) % 192.26/192.34 [6460]~P1(f295(f295(f207(a1),x64601),x64602))+P1(f295(f295(f207(a1),f295(f110(a1),x64601)),f295(f110(a1),x64602))) % 192.26/192.34 [6462]~P1(f295(f295(f208(a902),x64621),x64622))+P1(f295(f295(f208(a1),f295(f107(a1),x64621)),f295(f107(a1),x64622))) % 192.26/192.34 [6463]~P1(f295(f295(f208(a1),x64631),x64632))+P1(f295(f295(f208(a1),f295(f110(a1),x64631)),f295(f110(a1),x64632))) % 192.26/192.34 [6482]~P1(f295(f295(f207(a902),x64821),x64822))+~P1(f295(f295(f207(a902),f295(a119,x64822)),x64821)) % 192.26/192.34 [6525]~P1(f295(f295(f207(a902),f295(a119,x65251)),f295(a119,x65252)))+P1(f295(f295(f207(a902),x65251),x65252)) % 192.26/192.34 [6526]~P1(f295(f295(f207(a106),f295(a3,x65261)),f295(a3,x65262)))+P1(f295(f295(f207(a902),x65261),x65262)) % 192.26/192.34 [6527]~P1(f295(f295(f207(a902),f295(a20,x65271)),f295(a20,x65272)))+P1(f295(f295(f207(a106),x65271),x65272)) % 192.26/192.34 [6529]~P1(f295(f295(f208(a902),f295(a119,x65291)),f295(a119,x65292)))+P1(f295(f295(f208(a902),x65291),x65292)) % 192.26/192.34 [6530]~P1(f295(f295(f208(a106),f295(a3,x65301)),f295(a3,x65302)))+P1(f295(f295(f208(a902),x65301),x65302)) % 192.26/192.34 [6531]~P1(f295(f295(f208(a902),f295(a20,x65311)),f295(a20,x65312)))+P1(f295(f295(f208(a106),x65311),x65312)) % 192.26/192.34 [6532]~P1(f295(f295(f208(a902),f295(a111,x65321)),f295(a111,x65322)))+P1(f295(f295(f208(a1),x65321),x65322)) % 192.26/192.34 [6574]~P1(f295(f295(f208(a902),f295(a111,x65742)),f295(a111,x65741)))+P1(f295(f295(f208(a1),f2(a1)),x65741)) % 192.26/192.34 [6607]P1(f295(f295(f207(a1),f2(a1)),f46(a1,x66071,x66072)))+~P1(f295(f295(f208(a1),f2(a1)),x66072)) % 192.26/192.34 [6763]P36(x67631,x67632)+~E(f295(f295(f255(x67631,x67631,x67631),x67632),x67632),f176(f911(f910(x67631,x67631),a897))) % 192.26/192.34 [6775]~P36(x67751,x67752)+P36(x67751,f295(f295(f255(x67751,x67751,x67751),x67752),x67752)) % 192.26/192.34 [6788]P1(f295(f295(f207(a1),x67881),x67882))+~P1(f295(f295(f208(a1),x67881),f295(f295(f83(a1),x67882),f81(a1)))) % 192.26/192.34 [6789]P1(f295(f295(f208(a1),x67891),x67892))+~P1(f295(f295(f207(a1),x67891),f295(f295(f23(a1),x67892),f81(a1)))) % 192.26/192.34 [6792]P1(f295(f295(f207(a902),x67921),x67922))+~P1(f295(f295(f207(a1),f295(f107(a1),x67921)),f295(f107(a1),x67922))) % 192.26/192.34 [6793]P1(f295(f295(f207(a1),x67931),x67932))+~P1(f295(f295(f207(a1),f295(f110(a1),x67931)),f295(f110(a1),x67932))) % 192.26/192.34 [6795]P1(f295(f295(f208(a902),x67951),x67952))+~P1(f295(f295(f208(a1),f295(f107(a1),x67951)),f295(f107(a1),x67952))) % 192.26/192.34 [6796]P1(f295(f295(f208(a1),x67961),x67962))+~P1(f295(f295(f208(a902),f295(f110(a902),x67961)),f295(f110(a902),x67962))) % 192.26/192.34 [6797]P1(f295(f295(f208(a1),x67971),x67972))+~P1(f295(f295(f208(a1),f295(f110(a1),x67971)),f295(f110(a1),x67972))) % 192.26/192.34 [6887]~E(f706(x68872,x68871),f120(x68871))+E(f295(f131(f903(x68871),f903(x68871),f122(x68871),f120(x68871)),x68872),f120(x68871)) % 192.26/192.34 [6888]~E(f707(x68882,x68881),f120(x68881))+E(f295(f131(f903(x68881),f903(x68881),f122(x68881),f120(x68881)),x68882),f120(x68881)) % 192.26/192.34 [6892]~P6(x68921)+E(f295(f131(x68921,x68921,f108(x68921),f214(x68921)),x68922),f42(x68921,f295(f160(x68921),x68922))) % 192.26/192.34 [6893]~P6(x68931)+E(f295(f131(x68931,x68931,f117(x68931),f176(x68931)),x68932),f41(x68931,f295(f160(x68931),x68932))) % 192.26/192.34 [6906]E(x69061,f2(a106))+E(f295(f295(f83(a902),f295(a20,f295(f295(f23(a106),x69061),f81(a106)))),f295(a119,x69062)),f295(f295(f83(a902),f295(a20,x69061)),x69062)) % 192.26/192.34 [6955]P1(f295(f295(f208(a1),f295(f295(f23(a1),x69551),x69552)),f2(a1)))+~P1(f295(f295(f208(a1),x69551),x69552)) % 192.26/192.34 [6979]~P114(x69791)+E(f295(f295(f117(f911(x69791,a897)),f295(f295(f275(x69791),x69792),f176(f911(x69791,a897)))),f295(f270(x69791),x69792)),f295(f250(x69791),x69792)) % 192.26/192.34 [7053]~P65(x70531,x70532)+P36(x70531,f295(f212(f910(x70531,x70531)),f295(f228(x70531,x70531,a897),x70532))) % 192.26/192.34 [7054]~P65(x70541,x70542)+P63(x70541,f295(f212(f910(x70541,x70541)),f295(f228(x70541,x70541,a897),x70542))) % 192.26/192.34 [7055]~P46(x70551,x70552)+P38(x70551,f295(f212(f910(x70551,x70551)),f295(f228(x70551,x70551,a897),x70552))) % 192.26/192.34 [7056]~P45(x70561,x70562)+P37(x70561,f295(f212(f910(x70561,x70561)),f295(f228(x70561,x70561,a897),x70562))) % 192.26/192.34 [7057]E(x70571,f176(f911(x70572,a897)))+~P1(f295(f295(f207(f911(x70572,a897)),x70571),f176(f911(x70572,a897)))) % 192.26/192.34 [7140]~P1(f295(f295(f208(a902),f2(a902)),x71402))+P1(f295(f295(f207(a902),f46(a902,x71401,x71402)),x71402)) % 192.26/192.34 [7141]~P1(f295(f295(f207(a1),f2(a1)),x71411))+P1(f295(f295(f207(a1),f46(a1,x71411,x71412)),x71411)) % 192.26/192.34 [7142]~P1(f295(f295(f208(a902),f2(a902)),x71422))+P1(f295(f295(f208(a902),f46(a902,x71421,x71422)),x71422)) % 192.26/192.34 [7144]~P1(f295(f295(f208(a1),f2(a1)),x71442))+P1(f295(f295(f208(a1),f46(a1,x71441,x71442)),x71442)) % 192.26/192.34 [7222]~P116(x72221)+E(f295(f295(f23(f911(x72221,a897)),f295(f295(f275(x72221),x72222),f176(f911(x72221,a897)))),f295(f249(x72221),x72222)),f295(f295(f275(x72221),x72222),f176(f911(x72221,a897)))) % 192.26/192.34 [7296]~P47(x72961,x72962)+P58(x72961,f214(f911(x72961,a897)),f295(f212(f910(x72961,x72961)),f295(f228(x72961,x72961,a897),x72962))) % 192.26/192.34 [7297]P1(f295(x72971,x72972))+P1(f295(f295(f297(f911(f910(a902,a902),a897)),f744(x72972,x72971)),a105)) % 192.26/192.34 [7342]E(f295(f295(f122(a902),f128(a902,f295(f268(a902,x73421),x73422))),f295(f295(f140(a902),x73422),f120(a902))),f128(a902,f295(f268(a902,x73421),f295(a119,x73422))))+~P1(f295(f295(f207(a902),x73421),x73422)) % 192.26/192.34 [7490]E(x74901,f2(a902))+~E(f295(f131(a902,a902,f83(a902),x74901),x74902),f2(a902)) % 192.26/192.34 [7518]~P1(f295(f295(f208(a1),f295(f295(f23(a1),x75181),x75182)),f2(a1)))+P1(f295(f295(f208(a1),x75181),x75182)) % 192.26/192.34 [7546]P36(x75461,x75462)+~P36(x75461,f295(f295(f255(x75461,x75461,x75461),x75462),x75462)) % 192.26/192.34 [7572]~P1(f295(f295(f207(a902),f295(a119,x75721)),x75722))+P1(f172(a897,a175,f295(f207(a902),x75721),x75722)) % 192.26/192.34 [7722]P24(a902,a902,f295(f295(f7(a902,a902,a902),f23(a902)),x77221),x77222)+P1(f295(f295(f297(a902),f572(x77221,x77222)),x77222)) % 192.26/192.34 [7778]E(f295(f295(f295(f66(a902,x77781,f83(a902)),f295(f16(a902,x77781),f81(a902))),f2(a902)),x77782),f295(f39(x77781),x77782))+~P1(f295(f62(x77781),x77782)) % 192.26/192.34 [7820]P24(a902,a902,f295(f295(f7(a902,a902,a902),f23(a902)),x78201),x78202)+~P1(f295(f295(f207(a902),x78201),f572(x78201,x78202))) % 192.26/192.34 [7878]P36(x78781,x78782)+P1(f295(f295(f207(f911(x78781,a897)),f756(x78782,x78781)),f295(f252(x78781,x78781,x78782),f756(x78782,x78781)))) % 192.26/192.34 [7883]P45(x78831,x78832)+~P37(x78831,f295(f212(f910(x78831,x78831)),f295(f228(x78831,x78831,a897),x78832))) % 192.26/192.34 [7884]P46(x78841,x78842)+~P38(x78841,f295(f212(f910(x78841,x78841)),f295(f228(x78841,x78841,a897),x78842))) % 192.26/192.34 [7885]P65(x78851,x78852)+~P36(x78851,f295(f212(f910(x78851,x78851)),f295(f228(x78851,x78851,a897),x78852))) % 192.26/192.34 [7955]P1(f295(f295(f207(a902),f295(a119,x79551)),x79552))+~P1(f172(a897,a175,f295(f207(a902),x79551),x79552)) % 192.26/192.34 [8009]P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),x80091),x80092)),f273(a902,a286)))+~P1(f295(f295(f207(a902),x80091),x80092)) % 192.26/192.34 [8106]P47(x81061,x81062)+~P58(x81061,f214(f911(x81061,a897)),f295(f212(f910(x81061,x81061)),f295(f228(x81061,x81061,a897),x81062))) % 192.26/192.34 [8171]~P1(f295(f126(x81711),x81712))+P1(f295(f126(f911(x81711,a897)),f295(f295(f143(f903(x81711),f911(x81711,a897)),f160(x81711)),f55(x81711,x81712)))) % 192.26/192.34 [8369]~P36(x83691,f295(f253(x83691,x83691),x83692))+P36(x83691,f295(f253(x83691,x83691),f295(f295(f255(x83691,x83691,x83691),x83692),f273(x83691,x83692)))) % 192.26/192.34 [8493]P1(f295(f62(f910(x84931,x84931)),f295(f295(f255(x84931,x84931,x84931),x84932),f273(x84931,x84932))))+~P1(f295(f62(f910(x84931,x84931)),x84932)) % 192.26/192.34 [8520]E(x85201,f2(a1))+P1(f295(f50(x85202,x85201),f295(f295(f217(a1,a1),f295(f295(f40(a1),x85202),x85201)),f46(a1,x85202,x85201)))) % 192.26/192.34 [8533]~P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),x85331),x85332)),f273(a902,a286)))+P1(f295(f295(f207(a902),x85331),x85332)) % 192.26/192.34 [8551]~P88(x85511)+E(f295(f131(x85511,x85511,f295(f7(x85511,x85511,x85511),f83(x85511)),f2(x85511)),f295(f157(x85511),x85512)),f295(f131(x85511,x85511,f83(x85511),f2(x85511)),x85512)) % 192.26/192.34 [8727]~P114(x87271)+E(f295(f131(f903(x87271),x87271,f295(f7(x87271,f903(x87271),f903(x87271)),f137(x87271,x87271,f5(x87271))),f120(x87271)),x87272),f139(x87271,x87271,f5(x87271),x87272)) % 192.26/192.34 [8857]P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),x88571),x88572)),f295(f295(f255(a902,a902,a902),a286),f273(a902,a286))))+~P1(f295(f295(f208(a902),x88571),x88572)) % 192.26/192.34 [8909]~P1(f295(f62(f910(x89091,x89091)),f295(f295(f255(x89091,x89091,x89091),x89092),f273(x89091,x89092))))+P1(f295(f62(f910(x89091,x89091)),x89092)) % 192.26/192.34 [9182]P63(x91821,x91822)+P1(f295(f295(f297(f910(x91821,x91821)),f295(f295(f217(x91821,x91821),f773(x91822,x91821)),f773(x91822,x91821))),f295(f295(f255(x91821,x91821,x91821),x91822),f273(x91821,x91822)))) % 192.26/192.34 [9183]P63(x91831,x91832)+P1(f295(f295(f297(f910(x91831,x91831)),f295(f295(f217(x91831,x91831),f775(x91832,x91831)),f775(x91832,x91831))),f295(f295(f255(x91831,x91831,x91831),x91832),f273(x91831,x91832)))) % 192.26/192.34 [9296]~P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),x92961),x92962)),f295(f295(f255(a902,a902,a902),a286),f273(a902,a286))))+P1(f295(f295(f208(a902),x92961),x92962)) % 192.26/192.34 [5246]~P104(x52461)+E(f295(f295(f83(x52461),f295(f110(x52461),a86)),x52462),x52462) % 192.26/192.34 [5274]~P102(x52741)+E(f295(f295(f117(x52741),f295(f82(x52741),x52742)),x52742),f214(x52741)) % 192.26/192.34 [5275]~P102(x52751)+E(f295(f295(f108(x52751),f295(f82(x52751),x52752)),x52752),f176(x52751)) % 192.26/192.34 [5276]~P67(x52761)+E(f295(f295(f83(x52761),f295(f82(x52761),x52762)),x52762),f2(x52761)) % 192.26/192.34 [5277]~P76(x52771)+E(f295(f295(f83(x52771),f295(f82(x52771),x52772)),x52772),f2(x52771)) % 192.26/192.34 [5310]~P104(x53101)+E(f295(f295(f84(x53101),f295(f110(x53101),a104)),x53102),f295(f82(x53101),x53102)) % 192.26/192.34 [5472]~P120(x54721)+E(f295(f295(f84(x54721),f295(f82(x54721),f81(x54721))),x54722),f295(f82(x54721),x54722)) % 192.26/192.34 [5518]E(f295(f77(a1),x55181),f81(a1))+~E(f295(f77(a1),f295(f295(f84(a1),x55181),x55182)),f81(a1)) % 192.26/192.34 [5608]~P104(x56081)+E(f295(f295(f83(x56081),f81(x56081)),f295(f110(x56081),x56082)),f295(f110(x56081),f295(f295(f23(a1),x56082),a104))) % 192.26/192.34 [5661]~P6(x56611)+E(f42(x56611,f295(f295(f275(x56611),x56612),f176(f911(x56611,a897)))),x56612) % 192.26/192.34 [5662]~P6(x56621)+E(f41(x56621,f295(f295(f275(x56621),x56622),f176(f911(x56621,a897)))),x56622) % 192.26/192.34 [5663]~P99(x56631)+E(f10(x56631,f295(f295(f275(x56631),x56632),f176(f911(x56631,a897)))),x56632) % 192.26/192.34 [5664]~P99(x56641)+E(f11(x56641,f295(f295(f275(x56641),x56642),f176(f911(x56641,a897)))),x56642) % 192.26/192.34 [5665]~P114(x56651)+E(f14(x56651,f295(f295(f275(x56651),x56652),f176(f911(x56651,a897)))),x56652) % 192.26/192.34 [5666]~P114(x56661)+E(f15(x56661,f295(f295(f275(x56661),x56662),f176(f911(x56661,a897)))),x56662) % 192.26/192.34 [5688]E(f295(f295(f83(a902),x56881),f295(f295(f23(a902),x56882),x56881)),x56882)+P1(f295(f295(f208(a902),x56882),x56881)) % 192.26/192.34 [5722]E(x57221,f120(x57222))+P1(f295(f295(f208(a902),f2(a902)),f295(f177(f903(x57222)),x57221))) % 192.26/192.34 [5845]~P114(x58451)+E(f12(x58451,f205(x58451),f295(f295(f275(x58451),x58452),f176(f911(x58451,a897)))),x58452) % 192.26/192.34 [5846]~P114(x58461)+E(f13(x58461,f206(x58461),f295(f295(f275(x58461),x58462),f176(f911(x58461,a897)))),x58462) % 192.26/192.34 [5906]E(f295(f295(f23(a902),x59061),f295(f295(f23(a902),x59061),x59062)),x59062)+~P1(f295(f295(f207(a902),x59062),x59061)) % 192.26/192.34 [5907]E(f295(f295(f83(a902),x59071),f295(f295(f23(a902),x59072),x59071)),x59072)+~P1(f295(f295(f207(a902),x59071),x59072)) % 192.26/192.34 [5929]E(f46(a902,f295(f295(f23(a902),x59291),x59292),x59292),f46(a902,x59291,x59292))+P1(f295(f295(f208(a902),x59291),x59292)) % 192.26/192.34 [5940]E(f295(f82(a1),f295(f295(f40(a1),x59401),f295(f82(a1),x59402))),f258(x59401,x59402))+P1(f295(f295(f207(a1),f2(a1)),x59402)) % 192.26/192.34 [5942]~E(x59422,f2(a902))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f218(a902),x59421),x59422))) % 192.26/192.34 [5996]~P104(x59961)+E(f295(f295(f83(x59961),f295(f82(x59961),f81(x59961))),f295(f110(x59961),x59962)),f295(f110(x59961),f295(f295(f83(a1),x59962),a104))) % 192.26/192.34 [5997]E(f295(f295(f218(a902),f295(f110(a902),x59971)),x59972),f295(f295(f218(a902),f2(a902)),x59972))+~P1(f295(a179,f295(f110(a1),x59971))) % 192.26/192.34 [6095]E(f295(f130(a902),f128(a902,f295(f268(a902,x60951),x60952))),x60951)+~P1(f295(f295(f208(a902),x60951),x60952)) % 192.26/192.34 [6113]E(f295(f295(f84(a902),f295(f110(a902),x61131)),f295(f110(a902),x61132)),f295(f110(a902),f295(f295(f84(a1),x61131),x61132)))+P1(f295(f295(f208(a1),x61131),a86)) % 192.26/192.34 [6119]~P132(x61191)+P1(f295(f295(f207(x61191),f2(x61191)),f295(f295(f84(x61191),x61192),x61192))) % 192.26/192.34 [6131]E(f295(f295(f23(a902),f295(a119,x61311)),x61312),f295(a119,f295(f295(f23(a902),x61311),x61312)))+~P1(f295(f295(f207(a902),x61312),x61311)) % 192.26/192.34 [6134]E(f46(a902,f295(f295(f23(a902),x61341),x61342),x61342),f46(a902,x61341,x61342))+~P1(f295(f295(f207(a902),x61342),x61341)) % 192.26/192.34 [6186]E(f295(f295(f218(a902),f295(a111,x61861)),x61862),f295(a111,f295(f295(f218(a1),x61861),x61862)))+~P1(f295(f295(f207(a1),f2(a1)),x61861)) % 192.26/192.34 [6204]P1(f295(f126(x62041),x62042))+P1(f295(f295(f208(a902),f633(x62042,x62041)),f295(f177(f903(x62041)),x62042))) % 192.26/192.34 [6205]P1(f295(f126(x62051),x62052))+P1(f295(f295(f208(a902),f678(x62052,x62051)),f295(f177(f903(x62051)),x62052))) % 192.26/192.34 [6217]~E(x62171,f120(x62172))+~P1(f295(f295(f208(a902),f2(a902)),f295(f177(f903(x62172)),x62171))) % 192.26/192.34 [6229]E(f133(a902,f128(a902,f295(f268(a902,x62291),x62292))),f295(f295(f23(a902),x62292),f81(a902)))+~P1(f295(f295(f208(a902),x62291),x62292)) % 192.26/192.34 [6232]E(f295(f295(f83(a1),x62321),f295(f107(a1),f295(a119,f462(x62322,x62321)))),x62322)+~P1(f295(f295(f208(a1),x62321),x62322)) % 192.26/192.34 [6239]E(x62391,f2(a902))+E(f295(f295(f84(a902),x62392),f295(f295(f218(a902),x62392),f295(f295(f23(a902),x62391),f81(a902)))),f295(f295(f218(a902),x62392),x62391)) % 192.26/192.34 [6267]E(f295(f295(f84(a902),f295(a111,x62671)),f295(a111,x62672)),f295(a111,f295(f295(f84(a1),x62671),x62672)))+~P1(f295(f295(f207(a1),f2(a1)),x62671)) % 192.26/192.34 [6268]E(f295(f295(f40(a902),f295(a111,x62681)),f295(a111,x62682)),f295(a111,f295(f295(f40(a1),x62681),x62682)))+~P1(f295(f295(f207(a1),f2(a1)),x62681)) % 192.26/192.34 [6281]~P123(x62811)+E(f295(f295(f83(x62811),x62812),x62812),f295(f295(f84(x62811),f295(f295(f83(x62811),f81(x62811)),f81(x62811))),x62812)) % 192.26/192.34 [6300]E(f295(f295(f23(a1),f295(f107(a1),x63001)),f295(f107(a1),x63002)),f295(f107(a1),f295(f295(f23(a902),x63001),x63002)))+~P1(f295(f295(f207(a902),x63002),x63001)) % 192.26/192.34 [6302]E(f295(f295(f217(a1,a1),f295(f110(a1),a104)),f295(f295(f83(a1),x63021),x63022)),f51(x63021,x63022))+~P1(f295(f295(f207(a1),x63022),f2(a1))) % 192.26/192.34 [6333]E(f166(x63331,x63332),f120(f903(x63331)))+P1(f295(f295(f297(f903(x63331)),f685(x63332,x63331)),f295(f160(f903(x63331)),x63332))) % 192.26/192.34 [6415]E(f295(f295(f140(a1),x64151),f165(f295(f295(f83(a1),x64151),f81(a1)),x64152)),f165(x64151,x64152))+~P1(f295(f295(f207(a1),x64151),x64152)) % 192.26/192.34 [6456]~P1(f295(f295(f208(a902),x64562),x64561))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f23(a902),x64561),x64562))) % 192.26/192.34 [6488]~P1(f295(f295(f208(a902),x64881),f295(a111,x64882)))+P1(f295(f295(f208(a1),f295(f107(a1),x64881)),x64882)) % 192.26/192.34 [6516]~P114(x65161)+E(f295(f295(f117(f911(x65161,a897)),f295(f249(x65161),x65162)),f295(f295(f275(x65161),x65162),f176(f911(x65161,a897)))),f295(f267(x65161),x65162)) % 192.26/192.34 [6518]~P1(f295(f295(f207(a1),f2(a1)),x65181))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f218(a1),x65181),x65182))) % 192.26/192.34 [6521]~P1(f295(f295(f208(a902),f2(a902)),x65211))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f218(a902),x65211),x65212))) % 192.26/192.34 [6549]~E(f295(x65491,f2(a902)),f2(a902))+E(f295(f295(f6(a902,a902),x65491),f269(a902,f295(a119,f2(a902)),x65492)),f295(f295(f6(a902,a902),x65491),f269(a902,f2(a902),x65492))) % 192.26/192.34 [6615]~P104(x66151)+E(f295(f295(f84(x66151),f295(f295(f83(x66151),f81(x66151)),f81(x66151))),f295(f110(x66151),x66152)),f295(f110(x66151),f295(f295(f83(a1),x66152),x66152))) % 192.26/192.34 [6630]E(f295(f295(f275(a1),x66301),f269(a1,f295(f295(f83(a1),x66301),f81(a1)),x66302)),f269(a1,x66301,x66302))+P1(f295(f295(f208(a1),x66302),x66301)) % 192.26/192.34 [6631]P1(f295(f295(f208(a902),x66311),f295(a111,x66312)))+~P1(f295(f295(f208(a1),f295(f107(a1),x66311)),x66312)) % 192.26/192.34 [6732]E(f295(a111,f295(f295(f40(a1),f295(f110(a1),x67321)),f295(f110(a1),x67322))),f295(f295(f40(a902),f295(f110(a902),x67321)),f295(f110(a902),x67322)))+P1(f295(a179,f295(f110(a1),x67321))) % 192.26/192.34 [6790]P1(f295(f295(f208(a902),x67901),x67902))+~P1(f295(f295(f208(a902),f2(a902)),f295(f295(f23(a902),x67902),x67901))) % 192.26/192.34 [6832]P1(f295(f295(f208(a902),f2(a902)),x68321))+~P1(f295(f295(f208(a902),f2(a902)),f295(f295(f84(a902),x68322),x68321))) % 192.26/192.34 [6833]P1(f295(f295(f208(a902),f2(a902)),x68331))+~P1(f295(f295(f208(a902),f2(a902)),f295(f295(f84(a902),x68331),x68332))) % 192.26/192.34 [6850]~P1(f295(f295(f207(a1),x68501),f2(a1)))+E(f295(f295(f84(a902),f295(a111,f295(f82(a1),x68501))),f295(a111,f295(f82(a1),x68502))),f295(a111,f295(f295(f84(a1),x68501),x68502))) % 192.26/192.34 [6903]~E(x69032,f176(f911(x69031,a897)))+P1(f295(f295(f207(f911(x69031,a897)),x69032),f295(f82(f911(x69031,a897)),x69032))) % 192.26/192.34 [6965]~P104(x69651)+E(f295(f295(f83(x69651),f295(f295(f83(x69651),f2(x69651)),f295(f110(x69651),x69652))),f295(f110(x69651),x69652)),f295(f110(x69651),f295(f295(f83(a1),x69652),x69652))) % 192.26/192.34 [7020]~P1(f295(f295(f208(a1),x70201),x70202))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x70201),f81(a1))),x70202)) % 192.26/192.34 [7086]E(x70861,f2(a902))+~P1(f295(f295(f207(a1),f295(f107(a1),x70862)),f295(f82(a1),f295(f107(a1),x70861)))) % 192.26/192.34 [7087]E(x70871,f2(a902))+~P1(f295(f295(f207(a1),f295(f107(a1),x70871)),f295(f82(a1),f295(f107(a1),x70872)))) % 192.26/192.34 [7189]E(f295(f295(f217(a1,a1),f295(f110(a1),a104)),f295(f295(f83(a1),x71891),x71892)),f51(x71891,x71892))+~P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),x71891),x71892))) % 192.26/192.34 [7234]~P25(x72341,x72342)+P36(x72341,f295(f216(f911(f910(x72341,x72341),a897),f911(f910(x72341,x72341),a897)),x72342)) % 192.26/192.34 [7253]~P1(f295(f295(f207(a902),f295(a119,f2(a902))),x72531))+P1(f295(f295(f207(a902),f295(a119,f2(a902))),f295(f295(f218(a902),x72531),x72532))) % 192.26/192.34 [7433]~P1(f295(f295(f207(a1),x74331),x74332))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x74331),x74331)),f295(f295(f83(a1),x74332),x74332))) % 192.26/192.34 [7438]~P1(f295(f295(f208(a1),x74381),x74382))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x74381),x74381)),f295(f295(f83(a1),x74382),x74382))) % 192.26/192.34 [7491]~P1(f295(f295(f208(a902),f2(a902)),x74911))+P1(f295(f295(f208(a902),f295(f295(f23(a902),x74911),f295(a119,x74912))),x74911)) % 192.26/192.34 [7528]P1(f295(f295(f207(a902),f295(a119,f2(a902))),x75281))+~P1(f295(f295(f207(a902),f295(a119,f2(a902))),f295(f295(f84(a902),x75282),x75281))) % 192.26/192.34 [7529]P1(f295(f295(f207(a902),f295(a119,f2(a902))),x75291))+~P1(f295(f295(f207(a902),f295(a119,f2(a902))),f295(f295(f84(a902),x75291),x75292))) % 192.26/192.34 [7533]P1(f295(f295(f207(a902),f295(f295(f153(a902),x75331),x75332)),f295(f154(a902),x75331)))+~P1(f295(f295(f208(a902),x75332),f295(f177(f903(a902)),x75331))) % 192.26/192.34 [7571]P1(f295(f295(f208(a1),x75711),x75712))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),x75711),f81(a1))),x75712)) % 192.26/192.34 [7613]P1(f295(f62(x76131),f214(f911(x76131,a897))))+~P1(f295(f62(f911(x76132,x76131)),f214(f911(f911(x76132,x76131),a897)))) % 192.26/192.34 [7614]P1(f295(f62(x76141),f214(f911(x76141,a897))))+~P1(f295(f62(f912(x76142,x76141)),f214(f911(f912(x76142,x76141),a897)))) % 192.26/192.34 [7615]P1(f295(f62(x76151),f214(f911(x76151,a897))))+~P1(f295(f62(f912(x76151,x76152)),f214(f911(f912(x76151,x76152),a897)))) % 192.26/192.34 [7653]E(x76531,f176(f911(x76532,a897)))+~P1(f295(f295(f207(f911(x76532,a897)),x76531),f295(f82(f911(x76532,a897)),x76531))) % 192.26/192.34 [7789]E(f295(f131(f903(x77891),f903(x77891),f122(x77891),f120(x77891)),x77892),f120(x77891))+P1(f295(f295(f297(f903(x77891)),f706(x77892,x77891)),f295(f160(f903(x77891)),x77892))) % 192.26/192.34 [7790]E(f295(f131(f903(x77901),f903(x77901),f122(x77901),f120(x77901)),x77902),f120(x77901))+P1(f295(f295(f297(f903(x77901)),f707(x77902,x77901)),f295(f160(f903(x77901)),x77902))) % 192.26/192.34 [8027]P1(f295(f295(f207(a1),x80271),x80272))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),x80271),x80271)),f295(f295(f83(a1),x80272),x80272))) % 192.26/192.34 [8032]P1(f295(f295(f208(a1),x80321),x80322))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),x80321),x80321)),f295(f295(f83(a1),x80322),x80322))) % 192.26/192.34 [8126]~P123(x81261)+E(f295(f295(f84(x81261),f295(f295(f83(x81261),f81(x81261)),f81(x81261))),f295(f295(f6(a902,x81261),f107(x81261)),f269(a902,f81(a902),x81262))),f295(f295(f84(x81261),f295(f107(x81261),x81262)),f295(f295(f83(x81261),f295(f107(x81261),x81262)),f81(x81261)))) % 192.26/192.34 [8186]P1(f295(f295(f297(a902),x81861),x81862))+~P1(f295(f295(f297(a1),f295(f107(a1),x81861)),f295(f276(a902,a1,f107(a1)),x81862))) % 192.26/192.34 [8340]~P1(f295(f62(x83401),x83402))+E(f295(f276(a902,x83401,f402(x83402,x83401)),f295(f212(a902),f295(f295(f7(a902,a902,a897),f208(a902)),f403(x83402,x83401)))),x83402) % 192.26/192.34 [8622]P59(x86221,x86222)+P1(f295(f295(f297(f910(x86221,x86221)),f295(f295(f217(x86221,x86221),f600(x86222,x86221)),f600(x86222,x86221))),x86222)) % 192.26/192.34 [8623]P38(x86231,x86232)+P1(f295(f295(f297(f910(x86231,x86231)),f295(f295(f217(x86231,x86231),f745(x86232,x86231)),f749(x86232,x86231))),x86232)) % 192.26/192.34 [8624]P37(x86241,x86242)+P1(f295(f295(f297(f910(x86241,x86241)),f295(f295(f217(x86241,x86241),f750(x86242,x86241)),f752(x86242,x86241))),x86242)) % 192.26/192.34 [8625]P37(x86251,x86252)+P1(f295(f295(f297(f910(x86251,x86251)),f295(f295(f217(x86251,x86251),f752(x86252,x86251)),f753(x86252,x86251))),x86252)) % 192.26/192.34 [8626]P39(x86261,x86262)+P1(f295(f295(f297(f910(x86261,x86261)),f295(f295(f217(x86261,x86261),f743(x86262,x86261)),f742(x86262,x86261))),x86262)) % 192.26/192.34 [8627]P39(x86271,x86272)+P1(f295(f295(f297(f910(x86271,x86271)),f295(f295(f217(x86271,x86271),f742(x86272,x86271)),f743(x86272,x86271))),x86272)) % 192.26/192.34 [8779]~P104(x87791)+E(f295(f295(f23(x87791),f81(x87791)),f295(f110(x87791),x87792)),f295(f110(x87791),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f82(a1),x87792)))) % 192.26/192.34 [8906]~P1(f295(f295(f208(f911(a902,a897)),x89061),x89062))+P1(f295(f295(f208(f911(a1,a897)),f295(f276(a902,a1,f107(a1)),x89061)),f295(f276(a902,a1,f107(a1)),x89062))) % 192.26/192.34 [8940]~P1(f295(f295(f208(a1),x89401),x89402))+P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x89401),x89401)),a104)),f295(f295(f83(a1),x89402),x89402))) % 192.26/192.34 [8942]~P1(f295(f295(f208(a1),x89421),x89422))+P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x89421),x89421)),a104)),f295(f295(f83(a1),x89422),x89422))) % 192.26/192.34 [9018]~P1(f295(f295(f297(a902),x90181),f295(f160(a902),x90182)))+P1(f295(f295(f207(a902),x90181),f295(f131(a902,a902,f83(a902),f2(a902)),x90182))) % 192.26/192.34 [9114]P50(x91141,x91142)+~P1(f295(f295(f297(f910(x91141,x91141)),f295(f295(f217(x91141,x91141),f589(x91142,x91141)),f589(x91142,x91141))),x91142)) % 192.26/192.34 [9115]P38(x91151,x91152)+~P1(f295(f295(f297(f910(x91151,x91151)),f295(f295(f217(x91151,x91151),f749(x91152,x91151)),f745(x91152,x91151))),x91152)) % 192.26/192.34 [9116]P37(x91161,x91162)+~P1(f295(f295(f297(f910(x91161,x91161)),f295(f295(f217(x91161,x91161),f750(x91162,x91161)),f753(x91162,x91161))),x91162)) % 192.26/192.34 [9260]~P1(f295(f295(f207(f911(a1,a897)),f295(f276(a902,a1,f107(a1)),x92601)),f295(f276(a902,a1,f107(a1)),x92602)))+P1(f295(f295(f207(f911(a902,a897)),x92601),x92602)) % 192.26/192.34 [9261]~P1(f295(f295(f208(f911(a1,a897)),f295(f276(a902,a1,f107(a1)),x92611)),f295(f276(a902,a1,f107(a1)),x92612)))+P1(f295(f295(f208(f911(a902,a897)),x92611),x92612)) % 192.26/192.34 [9343]P1(f295(f295(f208(a1),x93431),x93432))+~P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x93431),x93431)),a104)),f295(f295(f83(a1),x93432),x93432))) % 192.26/192.34 [9345]P1(f295(f295(f208(a1),x93451),x93452))+~P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x93451),x93451)),a104)),f295(f295(f83(a1),x93452),x93452))) % 192.26/192.34 [10280]~P1(f295(f62(x102801),x102802))+E(f295(f177(f903(x102801)),f93(f903(x102801),f295(f295(f18(f903(x102801),a897,a897),f295(f295(f8(a897,f911(a897,a897),f903(x102801)),a293),f295(f295(f7(f903(x102801),f911(x102801,a897),a897),f295(f295(f8(f911(x102801,a897),f911(f911(x102801,a897),a897),f903(x102801)),a292),f160(x102801))),x102802))),f126(x102801)))),f190(x102801,x102802)) % 192.26/192.34 [6228]E(f295(f295(f83(a902),f295(f295(f23(a902),x62281),x62282)),x62282),x62281)+~P1(f295(f295(f207(a902),x62282),x62281)) % 192.26/192.34 [6296]E(f295(f295(f40(a902),f295(f295(f84(a902),x62961),x62962)),x62962),x62961)+~P1(f295(f295(f208(a902),f2(a902)),x62962)) % 192.26/192.34 [6297]E(f295(f295(f40(a902),f295(f295(f84(a902),x62971),x62972)),x62971),x62972)+~P1(f295(f295(f208(a902),f2(a902)),x62971)) % 192.26/192.34 [6301]~P77(x63011)+E(f295(f295(f6(a902,x63011),f295(f153(x63011),x63012)),f295(f268(a902,f2(a902)),f295(f177(f903(x63011)),x63012))),f295(f154(x63011),x63012)) % 192.26/192.34 [6407]E(f46(a902,f295(a119,f295(f295(f84(a902),x64071),x64072)),x64071),f81(a902))+~P1(f295(f295(f208(a902),f81(a902)),x64071)) % 192.26/192.34 [6413]E(f295(a119,f295(f295(f83(a902),f295(f110(a902),x64131)),x64132)),f295(f295(f83(a902),f81(a902)),x64132))+~P1(f295(a179,f295(f110(a1),x64131))) % 192.26/192.34 [6444]E(f295(a111,f295(f295(f218(a1),f295(f110(a1),x64441)),x64442)),f295(f295(f218(a902),f295(f110(a902),x64441)),x64442))+P1(f295(a179,f295(f110(a1),x64441))) % 192.26/192.34 [6684]E(f295(f295(f23(a902),x66841),f295(f110(a902),f295(f295(f83(a1),x66842),a104))),f295(f295(f23(a902),f295(a119,x66841)),f295(f110(a902),x66842)))+~P1(f295(f295(f208(a1),a86),x66842)) % 192.26/192.34 [6762]E(x67621,f2(a902))+E(f295(a119,f295(f295(f83(a902),f295(f295(f23(a902),x67621),f81(a902))),x67622)),f295(f295(f83(a902),x67621),x67622)) % 192.26/192.34 [6803]E(x68031,f2(a1))+P1(f295(f295(f208(a1),f2(a1)),f295(f295(f218(a1),f295(f77(a1),x68031)),x68032))) % 192.26/192.34 [6818]~E(x68182,f2(a902))+P1(f295(f295(f208(a1),f2(a1)),f295(f295(f218(a1),f295(f77(a1),x68181)),x68182))) % 192.26/192.34 [6853]E(x68531,f2(a902))+E(f295(f295(f83(a902),x68532),f295(f295(f84(a902),f295(f295(f23(a902),x68531),f81(a902))),x68532)),f295(f295(f84(a902),x68531),x68532)) % 192.26/192.34 [6897]~P1(f295(f295(f207(a1),x68971),x68972))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x68971),a104)),x68972)) % 192.26/192.34 [7023]E(f295(f295(f140(a902),x70231),f128(a902,f295(f268(a902,f295(a119,x70231)),x70232))),f128(a902,f295(f268(a902,x70231),x70232)))+~P1(f295(f295(f208(a902),x70231),x70232)) % 192.26/192.34 [7225]E(x72251,x72252)+~E(f295(f295(f23(a1),f295(f295(f83(a1),x72251),x72251)),a104),f295(f295(f23(a1),f295(f295(f83(a1),x72252),x72252)),a104)) % 192.26/192.34 [7228]E(x72281,f120(x72282))+E(f233(x72282,f295(f295(f143(x72282,f910(a106,x72282)),f295(f217(a106,x72282),f81(a106))),x72281)),f246(x72282,x72281)) % 192.26/192.34 [7462]P1(f295(f295(f207(a1),x74621),x74622))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),x74621),a104)),x74622)) % 192.26/192.34 [7930]~P1(f295(f295(f208(a902),x79301),x79302))+P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),x79301),x79302)),a211)) % 192.26/192.34 [8158]~P1(f295(f295(f208(a106),f2(a106)),x81581))+P1(f295(f295(f208(a106),f295(f216(a106,f910(a106,a106)),f295(f234(x81581),x81582))),x81581)) % 192.26/192.34 [8423]~P37(x84231,x84232)+P37(x84231,f295(f295(f117(f911(f910(x84231,x84231),a897)),x84232),f273(x84231,f176(f911(f910(x84231,x84231),a897))))) % 192.26/192.34 [8424]~P39(x84241,x84242)+P39(x84241,f295(f295(f117(f911(f910(x84241,x84241),a897)),x84242),f273(x84241,f176(f911(f910(x84241,x84241),a897))))) % 192.26/192.34 [8472]~P93(x84721)+P1(f295(f295(f207(x84721),f295(f77(x84721),f295(f154(x84721),x84722))),f295(f154(x84721),f295(f295(f143(x84721,x84721),f77(x84721)),x84722)))) % 192.26/192.34 [8495]P1(f295(f295(f208(a902),x84951),x84952))+~P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),x84951),x84952)),a211)) % 192.26/192.34 [8649]E(f295(f295(f217(x86491,x86491),f809(x86492,x86491)),f809(x86492,x86491)),x86492)+~P1(f295(f295(f297(f910(x86491,x86491)),x86492),f273(x86491,f176(f911(f910(x86491,x86491),a897))))) % 192.26/192.34 [8691]E(f295(f268(a902,x86911),f295(f295(f83(a902),x86911),f295(f39(a902),x86912))),x86912)+~P1(f295(f295(f207(f911(a902,a897)),x86912),f295(f268(a902,x86911),f295(f295(f83(a902),x86911),f295(f39(a902),x86912))))) % 192.26/192.34 [8933]P39(x89331,x89332)+~P39(x89331,f295(f295(f117(f911(f910(x89331,x89331),a897)),x89332),f273(x89331,f176(f911(f910(x89331,x89331),a897))))) % 192.26/192.34 [9066]E(f295(f295(f40(a1),f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),x90661),x90661)),a104))),f295(f110(a1),f295(f295(f83(a1),x90662),x90662))),f295(f295(f40(a1),f295(f110(a1),x90661)),f295(f110(a1),x90662)))+~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x90662))) % 192.26/192.34 [9165]~P37(x91651,x91652)+P1(f295(f295(f207(f911(f910(x91651,x91651),a897)),f295(f295(f255(x91651,x91651,x91651),x91652),x91652)),x91652)) % 192.26/192.34 [9193]E(f164(f903(x91931),f295(f295(f8(a897,a897,f903(x91931)),a291),f295(f295(f7(f903(x91931),f903(x91931),a897),a292),f120(x91931))),x91932),f166(x91931,f166(x91931,x91932)))+~P12(a902,f295(f157(a902),f295(f295(f143(f903(x91931),a902),f177(f903(x91931))),x91932))) % 192.26/192.34 [9196]E(f295(f295(f40(a1),f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),x91961),x91961)),a104))),f295(f110(a1),f295(f295(f83(a1),x91962),x91962))),f295(f295(f40(a1),f295(f295(f83(a1),f295(f110(a1),x91961)),f81(a1))),f295(f110(a1),x91962)))+P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x91962))) % 192.26/192.34 [10012]P1(f295(a179,x100122))+E(f295(f295(f89(a1,a902),f295(f295(f23(a1),x100121),x100122)),f295(f295(f18(a1,a902,a902),f295(f295(f7(a1,a902,f911(a902,a902)),f295(f295(f8(a897,f911(a902,f911(a902,a902)),a1),f103(a902)),a179)),f2(a902))),a111)),f295(f295(f23(a902),f295(a111,x100121)),f295(a111,x100122))) % 192.26/192.34 [10020]E(f295(f295(f89(a1,a902),f295(f110(a1),f295(f295(f83(a1),x100201),f295(f82(a1),x100202)))),f295(f295(f18(a1,a902,a902),f295(f295(f7(a1,a902,f911(a902,a902)),f295(f295(f8(a897,f911(a902,f911(a902,a902)),a1),f103(a902)),a179)),f2(a902))),a111)),f295(f295(f23(a902),f295(f110(a902),x100201)),f295(f110(a902),x100202)))+P1(f295(f295(f208(a1),x100202),a86)) % 192.26/192.34 [10022]~P25(x100221,x100222)+P1(f295(f295(f207(f911(f910(x100221,x100221),a897)),f295(f295(f255(x100221,x100221,x100221),f295(f216(f911(f910(x100221,x100221),a897),f911(f910(x100221,x100221),a897)),x100222)),f295(f227(f911(f910(x100221,x100221),a897),f911(f910(x100221,x100221),a897)),x100222))),f295(f216(f911(f910(x100221,x100221),a897),f911(f910(x100221,x100221),a897)),x100222))) % 192.26/192.34 [10081]~E(f295(f39(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,f911(a902,a897),a897),f297(a902)),x100811))),f295(f295(f7(a902,a902,a897),f208(a902)),f295(a119,x100812))))),f2(a902))+~P1(f295(f295(f297(a902),f2(a902)),x100811)) % 192.26/192.34 [10143]E(f46(a1,f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),x101431),x101431)),a104)),f295(f110(a1),f295(f295(f83(a1),x101432),x101432))),f295(f295(f83(a1),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f46(a1,f295(f110(a1),x101431),f295(f110(a1),x101432)))),f81(a1)))+~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x101432))) % 192.26/192.34 [10152]E(f46(a1,f295(f110(a1),f295(f295(f23(a1),f295(f295(f83(a1),x101521),x101521)),a104)),f295(f110(a1),f295(f295(f83(a1),x101522),x101522))),f295(f295(f23(a1),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f46(a1,f295(f295(f83(a1),f295(f110(a1),x101521)),f81(a1)),f295(f110(a1),x101522)))),f81(a1)))+P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x101522))) % 192.26/192.34 [10214]~P6(x102141)+E(f41(x102141,f295(f212(x102141),f295(f295(f8(f911(x102141,a897),a897,x102141),f91(x102141)),f295(f295(f8(f911(x102141,a897),f911(x102141,a897),x102141),f295(f18(x102141,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102141),a298),f295(f295(f7(x102141,f911(x102141,a897),a897),f297(x102141)),x102142)))),f207(x102141))))),f42(x102141,x102142)) % 192.26/192.34 [10273]~P36(x102731,x102732)+P65(x102731,f295(f295(f7(x102731,f911(f910(x102731,x102731),a897),f911(x102731,a897)),f295(f295(f8(f911(x102731,f911(f911(f910(x102731,x102731),a897),a897)),f911(f911(f910(x102731,x102731),a897),f911(x102731,a897)),x102731),f7(x102731,f911(f910(x102731,x102731),a897),a897)),f295(f295(f8(f911(x102731,f910(x102731,x102731)),f911(x102731,f911(f911(f910(x102731,x102731),a897),a897)),x102731),f295(f8(f910(x102731,x102731),f911(f911(f910(x102731,x102731),a897),a897),x102731),f297(f910(x102731,x102731)))),f217(x102731,x102731)))),x102732)) % 192.26/192.34 [10274]~P9(x102741,f214(f911(x102741,a897)),x102742)+P8(x102741,f295(f295(f7(x102741,f911(f910(x102741,x102741),a897),f911(x102741,a897)),f295(f295(f8(f911(x102741,f911(f911(f910(x102741,x102741),a897),a897)),f911(f911(f910(x102741,x102741),a897),f911(x102741,a897)),x102741),f7(x102741,f911(f910(x102741,x102741),a897),a897)),f295(f295(f8(f911(x102741,f910(x102741,x102741)),f911(x102741,f911(f911(f910(x102741,x102741),a897),a897)),x102741),f295(f8(f910(x102741,x102741),f911(f911(f910(x102741,x102741),a897),a897),x102741),f297(f910(x102741,x102741)))),f217(x102741,x102741)))),x102742)) % 192.26/192.34 [10320]P36(x103201,x103202)+~P65(x103201,f295(f295(f7(x103201,f911(f910(x103201,x103201),a897),f911(x103201,a897)),f295(f295(f8(f911(x103201,f911(f911(f910(x103201,x103201),a897),a897)),f911(f911(f910(x103201,x103201),a897),f911(x103201,a897)),x103201),f7(x103201,f911(f910(x103201,x103201),a897),a897)),f295(f295(f8(f911(x103201,f910(x103201,x103201)),f911(x103201,f911(f911(f910(x103201,x103201),a897),a897)),x103201),f295(f8(f910(x103201,x103201),f911(f911(f910(x103201,x103201),a897),a897),x103201),f297(f910(x103201,x103201)))),f217(x103201,x103201)))),x103202)) % 192.26/192.34 [10321]P9(x103211,f214(f911(x103211,a897)),x103212)+~P8(x103211,f295(f295(f7(x103211,f911(f910(x103211,x103211),a897),f911(x103211,a897)),f295(f295(f8(f911(x103211,f911(f911(f910(x103211,x103211),a897),a897)),f911(f911(f910(x103211,x103211),a897),f911(x103211,a897)),x103211),f7(x103211,f911(f910(x103211,x103211),a897),a897)),f295(f295(f8(f911(x103211,f910(x103211,x103211)),f911(x103211,f911(f911(f910(x103211,x103211),a897),a897)),x103211),f295(f8(f910(x103211,x103211),f911(f911(f910(x103211,x103211),a897),a897),x103211),f297(f910(x103211,x103211)))),f217(x103211,x103211)))),x103212)) % 192.26/192.34 [7413]E(f295(f295(f83(a902),f295(f110(a902),f295(f295(f23(a1),x74131),a104))),x74132),f295(a119,f295(f295(f83(a902),f295(f110(a902),x74131)),x74132)))+P1(f295(a179,f295(f110(a1),x74131))) % 192.26/192.34 [7849]~P104(x78491)+E(f295(f295(f83(x78491),f295(f295(f83(x78491),f81(x78491)),f295(f110(x78491),x78492))),f295(f110(x78491),x78492)),f295(f110(x78491),f295(f295(f23(a1),f295(f295(f83(a1),x78492),x78492)),a104))) % 192.26/192.34 [8497]~P1(f295(f295(f207(a1),x84971),x84972))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x84971),x84971)),f295(f295(f23(a1),f295(f295(f83(a1),x84972),x84972)),a104))) % 192.26/192.34 [8499]~P1(f295(f295(f207(a1),x84991),x84992))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x84991),x84991)),f295(f295(f23(a1),f295(f295(f83(a1),x84992),x84992)),a104))) % 192.26/192.34 [8944]P1(f295(f295(f207(a1),x89441),x89442))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),x89441),x89441)),f295(f295(f23(a1),f295(f295(f83(a1),x89442),x89442)),a104))) % 192.26/192.34 [8946]P1(f295(f295(f207(a1),x89461),x89462))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),x89461),x89461)),f295(f295(f23(a1),f295(f295(f83(a1),x89462),x89462)),a104))) % 192.26/192.34 [9249]~P1(f295(f295(f207(a1),x92491),x92492))+P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92491),x92491)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),x92492),x92492)),a104))) % 192.26/192.34 [9251]~P1(f295(f295(f208(a1),x92511),x92512))+P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x92511),x92511)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),x92512),x92512)),a104))) % 192.26/192.34 [9512]P1(f295(f295(f207(a1),x95121),x95122))+~P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),x95121),x95121)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),x95122),x95122)),a104))) % 192.26/192.34 [9514]P1(f295(f295(f208(a1),x95141),x95142))+~P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),x95141),x95141)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),x95142),x95142)),a104))) % 192.26/192.34 [9543]~P1(f295(f62(x95431),x95432))+P1(f295(f62(f911(x95431,a897)),f295(f212(f911(x95431,a897)),f295(f295(f7(f911(x95431,a897),f911(x95431,a897),a897),f207(f911(x95431,a897))),x95432)))) % 192.26/192.34 [9591]~E(f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),x95911),f176(f911(f910(a902,a902),a897)))),f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),x95912),f176(f911(f910(a902,a902),a897)))))+P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),x95911),x95912)),a115)) % 192.26/192.34 [9669]E(f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),x96691),f176(f911(f910(a902,a902),a897)))),f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),x96692),f176(f911(f910(a902,a902),a897)))))+~P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),x96691),x96692)),a115)) % 192.26/192.34 [9708]P1(f295(f295(f207(a1),f2(a1)),f829(x97081,x97082)))+E(f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x97081)),f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x97082))) % 192.26/192.34 [10225]~P6(x102251)+E(f42(x102251,f295(f212(x102251),f295(f295(f8(f911(x102251,a897),a897,x102251),f91(x102251)),f295(f295(f8(f911(x102251,a897),f911(x102251,a897),x102251),f295(f18(x102251,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102251),a298),f295(f295(f7(x102251,f911(x102251,a897),a897),f297(x102251)),x102252)))),f295(f7(x102251,x102251,a897),f207(x102251)))))),f41(x102251,x102252)) % 192.26/192.34 [10279]P1(f295(f295(f297(a902),f2(a902)),x102791))+E(f295(f39(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,f911(a902,a897),a897),f295(f295(f8(a902,f911(f911(a902,a897),a897),a902),f297(a902)),a119)),x102791))),f295(f295(f7(a902,a902,a897),f208(a902)),x102792)))),f295(f39(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,f911(a902,a897),a897),f297(a902)),x102791))),f295(f295(f7(a902,a902,a897),f208(a902)),f295(a119,x102792)))))) % 192.26/192.34 [7716]~P104(x77161)+E(f295(f295(f84(x77161),x77162),f295(f110(x77161),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),x77162) % 192.26/192.34 [7979]~P104(x79791)+E(f295(f295(f83(x79791),f295(f110(x79791),x79792)),f81(x79791)),f295(f110(x79791),f295(f295(f83(a1),x79792),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))) % 192.26/192.34 [8124]P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x81242)))+E(f295(f295(f218(a1),x81241),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),x81242),x81242)),a104))),f81(a1)) % 192.26/192.34 [9566]~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x95662)))+E(f295(f295(f218(a1),x95661),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),x95662),x95662)),a104))),f295(f295(f89(a1,a1),f295(f295(f218(a1),x95661),f295(f110(a902),x95662))),f295(f295(f18(a1,a1,a1),f295(f295(f8(a1,f911(a1,a1),a1),f84(a1)),f295(f84(a1),x95661))),f5(a1)))) % 192.26/192.34 [10071]~P1(f295(f295(f207(a902),f295(f110(a902),x100711)),f295(a119,x100712)))+P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x100711),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),f207(a902)),a111)),x100712)))) % 192.26/192.34 [10072]~P1(f295(f295(f208(a902),f295(f110(a902),x100721)),f295(a119,x100722)))+P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x100721),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),f208(a902)),a111)),x100722)))) % 192.26/192.34 [10127]P1(f295(f295(f207(a902),f295(f110(a902),x101271)),f295(a119,x101272)))+~P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x101271),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),f207(a902)),a111)),x101272)))) % 192.26/192.34 [10128]P1(f295(f295(f208(a902),f295(f110(a902),x101281)),f295(a119,x101282)))+~P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x101281),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),f208(a902)),a111)),x101282)))) % 192.26/192.34 [10158]~P1(f295(f295(f207(a902),f295(a119,x101582)),f295(f110(a902),x101581)))+P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x101581),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f8(a902,a897,a1),f295(f207(a902),x101582)),a111))))) % 192.26/192.34 [10159]~P1(f295(f295(f208(a902),f295(a119,x101592)),f295(f110(a902),x101591)))+P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x101591),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f8(a902,a897,a1),f295(f208(a902),x101592)),a111))))) % 192.26/192.34 [10211]P1(f295(f295(f207(a902),f295(a119,x102111)),f295(f110(a902),x102112)))+~P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x102112),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f8(a902,a897,a1),f295(f207(a902),x102111)),a111))))) % 192.26/192.34 [10212]P1(f295(f295(f208(a902),f295(a119,x102121)),f295(f110(a902),x102122)))+~P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x102122),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f8(a902,a897,a1),f295(f208(a902),x102121)),a111))))) % 192.26/192.34 [10330]~P1(f295(f295(f297(a902),f2(a902)),x103301))+E(f295(a119,f295(f39(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,f911(a902,a897),a897),f295(f295(f8(a902,f911(f911(a902,a897),a897),a902),f297(a902)),a119)),x103301))),f295(f295(f7(a902,a902,a897),f208(a902)),x103302))))),f295(f39(a902),f295(f212(a902),f295(f295(f18(a902,a897,a897),f295(f295(f8(a897,f911(a897,a897),a902),a293),f295(f295(f7(a902,f911(a902,a897),a897),f297(a902)),x103301))),f295(f295(f7(a902,a902,a897),f208(a902)),f295(a119,x103302)))))) % 192.26/192.34 [8675]~P104(x86751)+E(f295(f295(f84(x86751),f295(f110(x86751),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),x86752),x86752) % 192.26/192.34 [8736]~P104(x87361)+E(f295(f295(f83(x87361),f81(x87361)),f295(f110(x87361),x87362)),f295(f110(x87361),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),x87362))) % 192.26/192.34 [8810]~P104(x88101)+E(f295(f295(f23(x88101),f295(f110(x88101),x88102)),f81(x88101)),f295(f110(x88101),f295(f295(f83(a1),x88102),f295(f82(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [8961]~P1(f295(f295(f208(a902),f295(f110(a902),a86)),x89612))+E(f295(f295(f23(a902),x89611),f295(f295(f23(a902),x89612),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f23(a902),f295(a119,x89611)),x89612)) % 192.26/192.34 [9607]~P123(x96071)+E(f295(f295(f84(x96071),x96072),x96072),f295(f295(f218(x96071),x96072),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [9608]~P90(x96081)+E(f295(f295(f218(x96081),x96082),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f84(x96081),x96082),x96082)) % 192.26/192.34 [9610]~P104(x96101)+E(f295(f295(f84(x96101),x96102),f295(f110(x96101),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f83(x96101),x96102),x96102)) % 192.26/192.34 [9850]~P145(x98501)+E(f295(f295(f218(x98501),f295(f82(x98501),x98502)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f218(x98501),x98502),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [9851]~P119(x98511)+E(f295(f295(f218(x98511),f295(f77(x98511),x98512)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f218(x98511),x98512),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [9847]~P104(x98471)+E(f295(f295(f84(x98471),f295(f110(x98471),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x98472),f295(f295(f83(x98471),x98472),x98472)) % 192.26/192.34 [9964]~P119(x99641)+E(f295(f77(x99641),f295(f295(f218(x99641),x99642),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x99641),x99642),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [10031]~P119(x100311)+P1(f295(f295(f207(x100311),f2(x100311)),f295(f295(f218(x100311),x100312),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.34 [10202]~E(f295(a119,x102022),f295(f110(a902),x102021))+P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x102021),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),a292),a111)),x102022))))) % 192.26/192.34 [10203]~E(f295(f110(a902),x102031),f295(a119,x102032))+P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x102031),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),a292),a111)),x102032))))) % 192.26/192.34 [10283]E(f295(a119,x102831),f295(f110(a902),x102832))+~P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x102832),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),a292),a111)),x102831))))) % 192.26/192.34 [10284]E(f295(f110(a902),x102841),f295(a119,x102842))+~P1(f295(f295(f89(a1,a897),f295(f110(a1),f295(f295(f83(a1),x102841),a104))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a298),f295(f295(f8(a897,a897,a1),a291),a179))),f295(f295(f7(a1,a902,a897),f295(f295(f8(a902,f911(a902,a897),a1),a292),a111)),x102842))))) % 192.26/192.34 [10331]~P14(x103311,x103312)+P1(f295(f295(f297(f911(x103311,a897)),f343(x103312,x103311)),f295(f295(f8(f911(x103311,a897),a897,f911(x103311,a897)),f90(x103311)),f295(f295(f8(f911(x103311,a897),f911(x103311,a897),f911(x103311,a897)),f295(f18(x103311,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103311),a293),f295(f295(f18(x103311,x103311,a897),x103312),f5(x103311))))),f295(f295(f7(f911(x103311,a897),f911(x103311,f911(x103311,a897)),f911(x103311,a897)),f295(f295(f8(f911(f911(x103311,a897),a897),f911(f911(x103311,f911(x103311,a897)),f911(x103311,a897)),f911(x103311,a897)),f8(f911(x103311,a897),a897,x103311)),a292)),x103312))))) % 192.26/192.34 [10027]~P104(x100271)+E(f295(f295(f218(x100271),f295(f110(x100271),a104)),f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x100272)),f81(x100271)) % 192.26/192.34 [10028]~P145(x100281)+E(f295(f295(f218(x100281),f295(f82(x100281),f81(x100281))),f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x100282)),f81(x100281)) % 192.26/192.34 [10033]~P90(x100331)+E(f295(f295(f218(x100331),x100332),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),a104))),f295(f295(f84(x100331),f295(f295(f84(x100331),x100332),x100332)),x100332)) % 192.26/192.34 [10249]~P1(f295(f295(f207(a1),f2(a1)),x102492))+E(f46(a1,f295(f295(f83(a1),f81(a1)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102491)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102492)),f295(f295(f83(a1),f81(a1)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f46(a1,x102491,x102492)))) % 192.26/192.34 [10286]~P1(f295(f295(f207(a1),f2(a1)),x102862))+E(f295(f295(f40(a1),f295(f295(f83(a1),f81(a1)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102861))),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102862)),f295(f295(f40(a1),x102861),x102862)) % 192.26/192.34 [10288]~P1(f295(f295(f207(a1),x102882),f2(a1)))+E(f295(f295(f40(a1),f295(f295(f83(a1),f81(a1)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102881))),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102882)),f295(f295(f40(a1),f295(f295(f83(a1),x102881),f81(a1))),x102882)) % 192.26/192.34 [10289]~P1(f295(f295(f207(a1),x102892),f2(a1)))+E(f46(a1,f295(f295(f83(a1),f81(a1)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102891)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102892)),f295(f295(f23(a1),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f46(a1,f295(f295(f83(a1),x102891),f81(a1)),x102892))),f81(a1))) % 192.26/192.34 [10118]~P104(x101181)+E(f295(f295(f218(x101181),f295(f110(x101181),a104)),f295(a119,f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101182))),f295(f110(x101181),a104)) % 192.26/192.34 [10120]~P145(x101201)+E(f295(f295(f218(x101201),f295(f82(x101201),f81(x101201))),f295(a119,f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101202))),f295(f82(x101201),f81(x101201))) % 192.26/192.34 [5107]P38(x51071,x51072)+~P9(x51071,x51073,x51072) % 192.26/192.34 [5109]P37(x51091,x51092)+~P9(x51091,x51093,x51092) % 192.26/192.34 [5283]~P9(x52831,x52832,x52833)+P58(x52831,x52832,x52833) % 192.26/192.34 [8201]~E(x82012,x82013)+P34(x82011,x82011,a292,x82012,x82013) % 192.26/192.34 [8749]E(x87491,x87492)+~P34(x87493,x87493,a292,x87491,x87492) % 192.26/192.34 [5199]~P3(x51993)+P3(f29(x51991,x51992,x51993)) % 192.26/192.34 [5231]~P3(f26(x52312))+P3(f28(x52311,x52312,x52313)) % 192.26/192.34 [5288]~P36(x52881,x52883)+P36(x52881,f290(x52881,x52882,x52883)) % 192.26/192.34 [5466]P3(x54661)+~P3(f29(x54662,x54663,x54661)) % 192.26/192.34 [5468]P3(x54681)+~P3(f30(x54682,x54683,x54681)) % 192.26/192.34 [5470]P3(x54701)+~P3(f30(x54702,x54701,x54703)) % 192.26/192.34 [5488]P3(f26(x54881))+~P3(f28(x54882,x54881,x54883)) % 192.26/192.34 [5541]~P9(x55411,x55412,x55413)+P9(f903(x55411),f150(x55411,x55412),f147(x55411,x55413)) % 192.26/192.34 [5542]~P58(x55421,x55422,x55423)+P58(f903(x55421),f150(x55421,x55422),f147(x55421,x55423)) % 192.26/192.34 [5653]P61(x56531,x56532,x56533)+~E(f634(x56533,x56532,x56531),f635(x56533,x56532,x56531)) % 192.26/192.34 [5654]P60(x56541,x56542,x56543)+~E(f764(x56543,x56542,x56541),f765(x56543,x56542,x56541)) % 192.26/192.34 [6589]P28(x65891,x65892,x65893)+~P29(x65891,f643(x65893,x65892,x65891),f647(x65893,x65892,x65891)) % 192.26/192.34 [8758]E(x87581,x87582)+~P55(x87583,x87583,x87581,x87582,f36(x87583)) % 192.26/192.34 [4873]~E(f295(f157(x48732),x48731),x48733)+E(x48731,f295(f157(x48732),x48733)) % 192.26/192.34 [4874]~E(x48742,f295(f157(x48741),x48743))+E(f295(f157(x48741),x48742),x48743) % 192.26/192.34 [4922]E(x49221,x49222)+~E(f295(f157(x49223),x49221),f295(f157(x49223),x49222)) % 192.26/192.34 [5133]~P8(x51333,x51331)+P1(f295(f295(x51331,x51332),x51332)) % 192.26/192.34 [5134]~P47(x51343,x51341)+P1(f295(f295(x51341,x51342),x51342)) % 192.26/192.34 [5136]~P65(x51361,x51362)+P1(f295(f284(x51361,x51362),x51363)) % 192.26/192.34 [5203]~P36(x52031,x52032)+P36(f903(x52031),f295(f132(x52031,x52032),x52033)) % 192.26/192.34 [5208]~P1(f295(x52082,x52083))+~E(f295(f212(x52081),x52082),f176(f911(x52081,a897))) % 192.26/192.34 [5209]~P1(f295(x52092,x52093))+~E(f176(f911(x52091,a897)),f295(f212(x52091),x52092)) % 192.26/192.34 [5242]~P1(f295(x52421,x52423))+P1(f295(x52421,f93(x52422,x52421))) % 192.26/192.34 [5243]~P1(f295(x52431,x52433))+P1(f295(x52431,f326(x52431,x52432))) % 192.26/192.34 [5360]~E(x53602,x53603)+P1(f295(f295(f297(x53601),x53602),f295(a292,x53603))) % 192.26/192.34 [5375]P1(f295(x53751,x53752))+~P1(f295(x53751,f763(x53751,x53753))) % 192.26/192.34 [5416]E(f295(f157(x54161),x54162),f295(f295(f140(x54161),x54163),f120(x54161)))+~E(x54162,f295(f295(f140(x54161),x54163),f120(x54161))) % 192.26/192.34 [5417]~E(x54173,f295(f295(f140(x54171),x54172),f120(x54171)))+E(f295(f295(f140(x54171),x54172),f120(x54171)),f295(f157(x54171),x54173)) % 192.26/192.34 [5461]~P33(x54611,x54612,x54613)+P33(x54611,x54612,f295(f157(x54611),x54613)) % 192.26/192.34 [5462]~P30(x54621,x54622,x54623)+P30(x54621,x54622,f295(f157(x54621),x54623)) % 192.26/192.34 [5471]E(f295(f39(x54711),f412(x54712,x54713,x54711)),x54712)+~E(f295(f39(x54711),x54713),f295(a119,x54712)) % 192.26/192.34 [5478]~P36(x54781,x54783)+P1(f295(f295(f297(x54781),x54782),f285(x54781,x54783))) % 192.26/192.34 [5481]~E(f295(f157(x54812),x54811),f295(f295(f140(x54812),x54813),f120(x54812)))+E(x54811,f295(f295(f140(x54812),x54813),f120(x54812))) % 192.26/192.34 [5482]~E(f295(f295(f140(x54822),x54823),f120(x54822)),f295(f157(x54822),x54821))+E(x54821,f295(f295(f140(x54822),x54823),f120(x54822))) % 192.26/192.34 [5507]E(f88(f910(a902,a902),f49(x55071,x55072)),x55073)+~P1(f295(f49(x55071,x55072),x55073)) % 192.26/192.34 [5545]P33(x55451,x55452,x55453)+~P33(x55451,x55452,f295(f157(x55451),x55453)) % 192.26/192.34 [5546]P30(x55461,x55462,x55463)+~P30(x55461,x55462,f295(f157(x55461),x55463)) % 192.26/192.34 [5584]P1(f295(f295(x55841,x55842),x55842))+~P1(f295(f236(x55843,x55841),x55842)) % 192.26/192.34 [5585]~P1(f295(f295(x55852,x55853),x55853))+P1(f295(f236(x55851,x55852),x55853)) % 192.26/192.34 [5607]~E(x56072,f120(x56071))+P1(f295(f295(f297(f903(x56071)),x56072),f150(x56071,x56073))) % 192.26/192.34 [5616]~P58(x56161,x56162,x56163)+P58(x56161,x56162,f295(f253(x56161,x56161),x56163)) % 192.26/192.34 [5617]~P61(x56171,x56172,x56173)+P61(x56171,x56172,f295(f253(x56171,x56171),x56173)) % 192.26/192.34 [5634]~P69(x56341)+E(f46(x56341,f46(x56341,x56342,x56343),x56343),f46(x56341,x56342,x56343)) % 192.26/192.34 [5733]E(x57331,x57332)+~P1(f295(f295(f297(x57333),x57331),f295(a292,x57332))) % 192.26/192.34 [5778]~P118(x57781)+E(f178(x57781,x57782,f2(a902),x57783),x57783) % 192.26/192.34 [5800]P58(x58001,x58002,x58003)+~P58(x58001,x58002,f295(f253(x58001,x58001),x58003)) % 192.26/192.34 [5801]P61(x58011,x58012,x58013)+~P61(x58011,x58012,f295(f253(x58011,x58011),x58013)) % 192.26/192.34 [5805]~P114(x58052)+E(f139(x58051,x58052,x58053,f120(x58051)),f120(x58051)) % 192.26/192.34 [5817]E(f158(x58171,x58172,f141(x58171,x58173)),f141(x58171,f158(x58171,x58172,x58173)))+~P1(f295(f126(x58171),x58173)) % 192.26/192.34 [5914]~P1(f295(f295(x59143,x59142),x59142))+P1(f295(f295(f297(x59141),x59142),f236(x59141,x59143))) % 192.26/192.34 [5916]E(f295(f125(x59161,x59162),x59163),f120(x59161))+P1(f295(x59162,f691(x59163,x59162,x59161))) % 192.26/192.34 [5975]E(f69(x59751,x59752,x59753),x59752)+P1(f295(x59753,f413(x59752,x59751,x59753))) % 192.26/192.34 [6063]~P1(f295(f126(x60631),x60632))+P1(f295(f126(x60631),f162(x60631,x60632,x60633))) % 192.26/192.34 [6064]~P1(f295(f126(x60641),x60643))+P1(f295(f126(x60641),f158(x60641,x60642,x60643))) % 192.26/192.34 [6065]~P1(f295(f126(x60651),x60653))+P1(f295(f126(x60651),f129(x60651,x60652,x60653))) % 192.26/192.34 [6066]~P1(f295(f126(x60661),x60663))+P1(f295(f126(x60661),f164(x60661,x60662,x60663))) % 192.26/192.34 [6067]~P152(x60671,x60673,x60672)+P1(f295(x60671,f46(a1,x60672,x60673))) % 192.26/192.34 [6083]~P32(x60833,x60831,x60832)+P1(f295(x60831,f637(x60832,x60831,x60833))) % 192.26/192.34 [6084]~P32(x60843,x60841,x60842)+P1(f295(x60841,f670(x60842,x60841,x60843))) % 192.26/192.34 [6085]~P33(x60853,x60851,x60852)+P1(f295(x60851,f780(x60852,x60851,x60853))) % 192.26/192.34 [6086]~P33(x60863,x60861,x60862)+P1(f295(x60861,f804(x60861,x60862,x60863))) % 192.26/192.34 [6087]~P33(x60873,x60871,x60872)+P1(f295(x60871,f805(x60872,x60871,x60873))) % 192.26/192.34 [6091]P1(f295(f295(x60911,x60912),x60912))+~P1(f295(f295(f297(x60913),x60912),f236(x60913,x60911))) % 192.26/192.34 [6107]E(f295(f125(x61071,x61072),x61073),f164(x61071,x61072,x61073))+P1(f295(x61072,f718(x61073,x61072,x61071))) % 192.26/192.34 [6149]~P1(f295(f126(x61491),x61493))+P1(f295(f126(f903(x61491)),f56(x61491,x61492,x61493))) % 192.26/192.34 [6180]~P116(x61801)+E(f295(f295(f108(f911(x61801,a897)),f295(f249(x61801),x61802)),f269(x61801,x61802,x61803)),f176(f911(x61801,a897))) % 192.26/192.34 [6181]~P116(x61811)+E(f295(f295(f108(f911(x61811,a897)),f295(f267(x61811),x61812)),f272(x61811,x61812,x61813)),f176(f911(x61811,a897))) % 192.26/192.34 [6182]~P116(x61821)+E(f295(f295(f108(f911(x61821,a897)),f295(f267(x61821),x61822)),f271(x61821,x61822,x61823)),f176(f911(x61821,a897))) % 192.26/192.34 [6219]~P1(f295(f238(x62193,x62192),x62191))+P1(f295(x62191,f577(x62191,x62192,x62193))) % 192.26/192.34 [6403]E(f295(f125(x64031,x64032),x64033),x64033)+~P1(f295(x64032,f701(x64033,x64032,x64031))) % 192.26/192.34 [6405]E(f295(f295(f275(x64051),f428(x64052,x64053,x64051)),f412(x64052,x64053,x64051)),x64053)+~E(f295(f39(x64051),x64053),f295(a119,x64052)) % 192.26/192.34 [6421]P152(x64211,x64212,x64213)+~P1(f295(x64211,f46(a1,x64213,x64212))) % 192.26/192.34 [6472]P30(x64721,x64722,x64723)+~P1(f295(x64722,f826(x64722,x64723,x64721))) % 192.26/192.34 [6473]P30(x64731,x64732,x64733)+~P1(f295(x64732,f837(x64733,x64732,x64731))) % 192.26/192.34 [6474]P30(x64741,x64742,x64743)+~P1(f295(x64742,f838(x64743,x64742,x64741))) % 192.26/192.34 [6476]E(f164(x64761,x64762,x64763),x64763)+~P1(f295(x64762,f711(x64763,x64762,x64761))) % 192.26/192.34 [6557]~P1(f295(x65572,f827(x65573,x65572,x65571)))+P1(f295(f223(x65571,x65572),x65573)) % 192.26/192.34 [6558]~P1(f295(x65582,f692(x65583,x65582,x65581)))+P1(f295(f149(x65581,x65582),x65583)) % 192.26/192.34 [6804]~P1(f295(f284(x68041,x68042),f578(x68043,x68042,x68041)))+P1(f295(f284(x68041,x68042),x68043)) % 192.26/192.34 [6805]~P1(f295(f284(x68051,x68052),f595(x68053,x68052,x68051)))+P1(f295(f284(x68051,x68052),x68053)) % 192.26/192.34 [7239]~P1(f295(f238(x72391,x72393),x72392))+P1(f295(f295(f297(x72391),f577(x72392,x72393,x72391)),f236(x72391,x72393))) % 192.26/192.34 [7414]~P69(x74141)+E(f295(f295(f83(x74141),f295(f295(f84(x74141),x74142),f295(f295(f40(x74141),x74143),x74142))),f46(x74141,x74143,x74142)),x74143) % 192.26/192.34 [7870]E(f295(f295(f217(x78701,x78701),f611(x78702,x78703,x78701)),f611(x78702,x78703,x78701)),x78703)+~P1(f295(f295(f297(f910(x78701,x78701)),x78703),f213(x78701,x78702))) % 192.26/192.34 [7987]~P1(f295(f295(f297(x79871),f636(x79873,x79872,x79871)),f285(x79871,x79873)))+P1(f295(f295(f297(x79871),x79872),f285(x79871,x79873))) % 192.26/192.34 [7988]~P1(f295(f295(f297(x79881),f782(x79883,x79882,x79881)),f285(x79881,x79883)))+P1(f295(f295(f297(x79881),x79882),f285(x79881,x79883))) % 192.26/192.34 [7989]~P1(f295(f295(f297(x79891),f797(x79893,x79892,x79891)),f285(x79891,x79893)))+P1(f295(f295(f297(x79891),x79892),f285(x79891,x79893))) % 192.26/192.34 [8182]~P69(x81821)+E(f295(f295(f83(x81821),f295(f295(f84(x81821),f295(f295(f40(x81821),x81822),x81823)),x81823)),f46(x81821,x81822,x81823)),x81822) % 192.26/192.34 [8227]~E(f295(f39(x82271),x82272),f295(a119,x82273))+~P1(f295(f295(f297(x82271),f428(x82273,x82272,x82271)),f412(x82273,x82272,x82271))) % 192.26/192.34 [8557]~P51(x85571,x85572,x85573)+P1(f295(f295(f207(a1),f295(f196(x85571),f201(x85571,x85572,f198(x85571,x85573)))),f2(a1))) % 192.26/192.34 [8558]~P52(x85581,x85582,x85583)+P1(f295(f295(f208(a1),f295(f196(x85581),f201(x85581,x85582,f198(x85581,x85583)))),f2(a1))) % 192.26/192.34 [8862]P1(f295(f295(f207(f911(f910(x88621,x88621),a897)),f273(x88621,x88622)),f273(x88621,x88623)))+~P1(f295(f295(f207(f911(f910(x88621,x88621),a897)),x88622),f273(x88621,x88623))) % 192.26/192.34 [9036]P52(x90361,x90362,x90363)+~P1(f295(f295(f208(a1),f295(f196(x90361),f201(x90361,x90362,f198(x90361,x90363)))),f2(a1))) % 192.26/192.34 [9037]P51(x90371,x90372,x90373)+~P1(f295(f295(f207(a1),f295(f196(x90371),f201(x90371,x90372,f198(x90371,x90373)))),f2(a1))) % 192.26/192.34 [9161]E(x91611,f120(x91612))+~P1(f295(f295(f297(f910(f903(x91612),f903(x91612))),f295(f295(f217(f903(x91612),f903(x91612)),x91611),f120(x91612))),f147(x91612,x91613))) % 192.26/192.34 [9187]E(x91871,f120(x91872))+~P1(f295(f295(f297(f910(f903(x91872),f903(x91872))),f295(f295(f217(f903(x91872),f903(x91872)),f120(x91872)),x91871)),f147(x91872,x91873))) % 192.26/192.34 [9305]E(f295(f295(f140(x93051),f659(x93052,x93053,x93051)),f661(x93052,x93053,x93051)),x93053)+~P1(f295(f295(f297(f910(f903(x93051),f903(x93051))),f295(f295(f217(f903(x93051),f903(x93051)),f120(x93051)),x93053)),f136(x93051,x93052))) % 192.26/192.34 [9536]~P132(x95361)+~P1(f295(f295(f208(x95361),f295(f295(f83(x95361),f295(f295(f84(x95361),x95362),x95362)),f295(f295(f84(x95361),x95363),x95363))),f2(x95361))) % 192.26/192.34 [9584]P1(f295(f62(x95841),x95842))+~P1(f295(f295(f297(f910(f911(x95841,a897),f911(x95841,a897))),f295(f295(f217(f911(x95841,a897),f911(x95841,a897)),x95843),x95842)),f283(x95841))) % 192.26/192.34 [10395]~P119(x103951)+~P1(f295(f295(f208(x103951),f295(f295(f83(x103951),f295(f295(f218(x103951),x103952),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103951),x103953),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f2(x103951))) % 192.26/192.34 [4903]~E(x49033,f120(x49031))+E(f295(f295(f122(x49031),x49032),x49033),x49032) % 192.26/192.34 [4904]~E(x49042,f120(x49041))+E(f295(f295(f122(x49041),x49042),x49043),x49043) % 192.26/192.34 [4910]~E(x49102,f2(a902))+E(f295(f295(f161(x49101),x49102),x49103),f120(x49101)) % 192.26/192.34 [4917]~E(x49173,f120(x49171))+E(f295(f295(f161(x49171),x49172),x49173),f120(x49171)) % 192.26/192.34 [4956]~E(x49561,x49563)+E(x49561,f295(f295(f122(x49562),f120(x49562)),x49563)) % 192.26/192.34 [5047]~P117(x50472)+E(f295(f214(f911(x50471,x50472)),x50473),f214(x50472)) % 192.26/192.34 [5049]~P115(x50492)+E(f295(f176(f911(x50491,x50492)),x50493),f176(x50492)) % 192.26/192.34 [5067]E(x50671,f120(x50672))+~E(f295(f295(f122(x50672),x50673),x50671),x50673) % 192.26/192.34 [5068]E(x50681,f120(x50682))+~E(f295(f295(f122(x50682),x50681),x50683),x50683) % 192.26/192.34 [5076]E(x50761,f120(x50762))+~E(f295(f295(f122(x50762),x50763),x50761),f120(x50762)) % 192.26/192.34 [5077]E(x50771,f120(x50772))+~E(f295(f295(f122(x50772),x50771),x50773),f120(x50772)) % 192.26/192.34 [5100]~E(x51002,f2(a902))+E(f295(f295(f84(a902),x51001),x51002),f295(f295(f84(a902),x51003),x51002)) % 192.26/192.34 [5102]~E(x51021,f2(a902))+E(f295(f295(f84(a902),x51021),x51022),f295(f295(f84(a902),x51021),x51023)) % 192.26/192.34 [5159]~P99(x51591)+E(f295(f295(f117(x51591),x51592),x51593),f295(f295(f117(x51591),x51593),x51592)) % 192.26/192.34 [5161]~P109(x51611)+E(f295(f295(f117(x51611),x51612),x51613),f295(f295(f117(x51611),x51613),x51612)) % 192.26/192.34 [5162]~P99(x51621)+E(f295(f295(f108(x51621),x51622),x51623),f295(f295(f108(x51621),x51623),x51622)) % 192.26/192.34 [5164]~P110(x51641)+E(f295(f295(f108(x51641),x51642),x51643),f295(f295(f108(x51641),x51643),x51642)) % 192.26/192.34 [5165]~P123(x51651)+E(f295(f295(f83(x51651),x51652),x51653),f295(f295(f83(x51651),x51653),x51652)) % 192.26/192.34 [5167]~P114(x51671)+E(f295(f295(f205(x51671),x51672),x51673),f295(f295(f205(x51671),x51673),x51672)) % 192.26/192.34 [5169]~P114(x51691)+E(f295(f295(f206(x51691),x51692),x51693),f295(f295(f206(x51691),x51693),x51692)) % 192.26/192.34 [5170]~P123(x51701)+E(f295(f295(f84(x51701),x51702),x51703),f295(f295(f84(x51701),x51703),x51702)) % 192.26/192.34 [5237]E(f46(a902,x52371,x52372),f2(a902))+~E(x52371,f295(f295(f84(a902),x52372),x52373)) % 192.26/192.34 [5238]E(f46(a1,x52381,x52382),f2(a1))+~E(x52381,f295(f295(f84(a1),x52382),x52383)) % 192.26/192.34 [5300]E(x53001,x53002)+~E(f295(f295(f83(a902),x53003),x53001),f295(f295(f83(a902),x53003),x53002)) % 192.26/192.34 [5301]E(x53011,x53012)+~E(f295(f295(f83(a902),x53011),x53013),f295(f295(f83(a902),x53012),x53013)) % 192.26/192.34 [5311]~P102(x53111)+E(f295(f295(f108(x53111),x53112),f295(f82(x53111),x53113)),f295(f295(f23(x53111),x53112),x53113)) % 192.26/192.34 [5312]~P67(x53121)+E(f295(f295(f83(x53121),x53122),f295(f82(x53121),x53123)),f295(f295(f23(x53121),x53122),x53123)) % 192.26/192.34 [5313]~P76(x53131)+E(f295(f295(f83(x53131),x53132),f295(f82(x53131),x53133)),f295(f295(f23(x53131),x53132),x53133)) % 192.26/192.34 [5314]~P120(x53141)+E(f295(f295(f83(x53141),x53142),f295(f82(x53141),x53143)),f295(f295(f23(x53141),x53142),x53143)) % 192.26/192.34 [5315]~P76(x53151)+E(f295(f295(f23(x53151),x53152),f295(f82(x53151),x53153)),f295(f295(f83(x53151),x53152),x53153)) % 192.26/192.34 [5354]~P1(f295(x53543,x53542))+P1(f295(f295(f297(x53541),x53542),x53543)) % 192.26/192.34 [5356]~P77(x53562)+E(f295(f295(f6(x53561,x53562),x53563),f176(f911(x53561,a897))),f2(x53562)) % 192.26/192.34 [5358]~P83(x53582)+E(f295(f295(f9(x53581,x53582),x53583),f176(f911(x53581,a897))),f81(x53582)) % 192.26/192.34 [5406]~E(x54062,f295(f295(f83(a902),x54061),x54063))+P1(f295(f295(f207(a902),x54061),x54062)) % 192.26/192.34 [5409]~E(x54092,f176(f911(x54091,a897)))+E(f295(f295(f61(x54091),x54092),x54093),f176(f911(f911(x54091,a897),a897))) % 192.26/192.34 [5410]~E(x54102,f176(f911(x54101,a897)))+E(f176(f911(f911(x54101,a897),a897)),f295(f295(f61(x54101),x54102),x54103)) % 192.26/192.34 [5485]~E(f295(f251(x54852,x54853),x54851),f176(f911(x54853,a897)))+E(x54851,f176(f911(f910(x54852,x54853),a897))) % 192.26/192.34 [5486]~E(f295(f215(x54862,x54863),x54861),f176(f911(x54862,a897)))+E(x54861,f176(f911(f910(x54862,x54863),a897))) % 192.26/192.34 [5520]E(f295(f251(x55201,x55202),x55203),f176(f911(x55202,a897)))+~E(x55203,f176(f911(f910(x55201,x55202),a897))) % 192.26/192.34 [5521]E(f295(f215(x55211,x55212),x55213),f176(f911(x55211,a897)))+~E(x55213,f176(f911(f910(x55211,x55212),a897))) % 192.26/192.34 [5524]E(f245(x55241,x55242,x55243),f295(f295(f23(a106),x55242),x55243))+P1(f295(f295(f208(a106),x55242),x55243)) % 192.26/192.34 [5539]P1(f295(x55391,x55392))+~P1(f295(f295(f297(x55393),x55392),x55391)) % 192.26/192.34 [5577]E(x55771,x55772)+~E(f295(f82(f911(x55773,a897)),x55771),f295(f82(f911(x55773,a897)),x55772)) % 192.26/192.34 [5588]~E(x55881,f176(f911(x55882,a897)))+~P1(f295(f295(f297(x55882),x55883),x55881)) % 192.26/192.34 [5618]~E(x56182,f295(f295(f83(a1),x56181),f295(f107(a1),x56183)))+P1(f295(f295(f207(a1),x56181),x56182)) % 192.26/192.34 [5632]E(f295(f295(f275(x56321),x56322),x56323),x56323)+~P1(f295(f295(f297(x56321),x56322),x56323)) % 192.26/192.34 [5643]E(x56431,f176(f911(x56432,a897)))+~E(f295(f295(f61(x56432),x56431),x56433),f176(f911(f911(x56432,a897),a897))) % 192.26/192.34 [5644]E(x56441,f176(f911(x56442,a897)))+~E(f176(f911(f911(x56442,a897),a897)),f295(f295(f61(x56442),x56441),x56443)) % 192.26/192.34 [5650]~P130(x56501)+E(f295(f295(f84(x56501),f295(f82(x56501),x56502)),f295(f82(x56501),x56503)),f295(f295(f84(x56501),x56502),x56503)) % 192.26/192.34 [5652]~P72(x56521)+E(f295(f295(f256(x56521),f295(f82(x56521),x56522)),f295(f82(x56521),x56523)),f295(f295(f256(x56521),x56522),x56523)) % 192.26/192.34 [5684]~P1(f295(x56843,x56842))+P1(f295(f295(f297(x56841),x56842),f295(f212(x56841),x56843))) % 192.26/192.34 [5726]E(f158(x57261,x57262,x57263),x57263)+P1(f295(f295(f297(x57261),x57262),f295(f160(x57261),x57263))) % 192.26/192.34 [5809]~P1(f295(f126(x58091),x58093))+P1(f295(f126(x58091),f295(f125(x58091,x58092),x58093))) % 192.26/192.34 [5851]~P69(x58511)+E(f295(f295(f40(x58511),f46(x58511,x58512,x58513)),x58513),f2(x58511)) % 192.26/192.34 [5870]E(f162(x58701,f295(f295(f140(x58701),x58702),f120(x58701)),x58703),f120(x58701))+P1(f295(f295(f297(a902),f2(a902)),x58703)) % 192.26/192.34 [5926]E(f295(f295(f140(x59261),x59262),x59263),f129(x59261,x59262,x59263))+P1(f295(f295(f297(x59261),x59262),f295(f160(x59261),x59263))) % 192.26/192.34 [5935]E(x59351,x59352)+~E(f295(f295(f84(a902),f295(a119,x59353)),x59351),f295(f295(f84(a902),f295(a119,x59353)),x59352)) % 192.26/192.34 [5936]~E(x59362,f295(f295(f83(a1),x59361),f295(f107(a1),f295(a119,x59363))))+P1(f295(f295(f208(a1),x59361),x59362)) % 192.26/192.34 [6045]~E(x60453,f120(x60451))+E(f295(f295(f295(f170(f903(x60451),f903(x60451)),x60452),f156(x60451)),x60453),f120(x60451)) % 192.26/192.34 [6049]P1(f295(x60491,x60492))+~P1(f295(f295(f297(x60493),x60492),f295(f212(x60493),x60491))) % 192.26/192.34 [6078]E(x60781,x60782)+~E(f295(f295(f275(x60783),x60781),f176(f911(x60783,a897))),f295(f295(f275(x60783),x60782),f176(f911(x60783,a897)))) % 192.26/192.34 [6093]~P116(x60931)+E(f295(f295(f108(f911(x60931,a897)),f295(f249(x60931),x60932)),f295(f268(x60931,x60932),x60933)),f176(f911(x60931,a897))) % 192.26/192.34 [6133]E(f129(x61331,x61332,x61333),x61333)+~P1(f295(f295(f297(x61331),x61332),f295(f160(x61331),x61333))) % 192.26/192.34 [6157]~P87(x61571)+E(f295(f276(x61571,x61571,f82(x61571)),f295(f268(x61571,x61572),x61573)),f271(x61571,f295(f82(x61571),x61573),f295(f82(x61571),x61572))) % 192.26/192.34 [6165]E(f295(f177(f903(x61651)),f158(x61651,x61652,x61653)),f295(f177(f903(x61651)),x61653))+P1(f295(f295(f297(x61651),x61652),f295(f160(x61651),x61653))) % 192.26/192.34 [6216]~P116(x62161)+E(f295(f295(f108(f911(x62161,a897)),f295(f268(x62161,x62162),x62163)),f295(f250(x62161),x62163)),f176(f911(x62161,a897))) % 192.26/192.34 [6237]~P87(x62371)+E(f295(f276(x62371,x62371,f82(x62371)),f272(x62371,x62372,x62373)),f272(x62371,f295(f82(x62371),x62373),f295(f82(x62371),x62372))) % 192.26/192.34 [6238]~P87(x62381)+E(f295(f276(x62381,x62381,f82(x62381)),f269(x62381,x62382,x62383)),f269(x62381,f295(f82(x62381),x62383),f295(f82(x62381),x62382))) % 192.26/192.34 [6298]E(f162(x62981,f295(f295(f140(x62981),x62982),f120(x62981)),x62983),f295(f295(f140(x62981),x62982),f120(x62981)))+~P1(f295(f295(f297(a902),f2(a902)),x62983)) % 192.26/192.34 [6305]~P87(x63051)+E(f295(f276(x63051,x63051,f82(x63051)),f271(x63051,x63052,x63053)),f295(f268(x63051,f295(f82(x63051),x63053)),f295(f82(x63051),x63052))) % 192.26/192.34 [6325]~P70(x63251)+E(f46(x63251,f295(f82(x63251),f46(x63251,x63252,x63253)),x63253),f46(x63251,f295(f82(x63251),x63252),x63253)) % 192.26/192.34 [6418]~P1(f295(f62(f910(x64182,x64181)),x64183))+P1(f295(f62(x64181),f295(f251(x64182,x64181),x64183))) % 192.26/192.34 [6419]~P1(f295(f62(f910(x64191,x64192)),x64193))+P1(f295(f62(x64191),f295(f215(x64191,x64192),x64193))) % 192.26/192.34 [6425]~P116(x64251)+E(f295(f295(f108(f911(x64251,a897)),f272(x64251,x64252,x64253)),f295(f250(x64251),x64253)),f176(f911(x64251,a897))) % 192.26/192.34 [6426]~P116(x64261)+E(f295(f295(f108(f911(x64261,a897)),f271(x64261,x64262,x64263)),f295(f270(x64261),x64263)),f176(f911(x64261,a897))) % 192.26/192.34 [6427]~P116(x64271)+E(f295(f295(f108(f911(x64271,a897)),f269(x64271,x64272,x64273)),f295(f270(x64271),x64273)),f176(f911(x64271,a897))) % 192.26/192.34 [6497]E(f295(f295(f153(x64971),x64972),f642(x64972,x64973,x64971)),x64973)+~P1(f295(f295(f297(x64971),x64973),f295(f160(x64971),x64972))) % 192.26/192.34 [6640]E(x66401,f120(x66402))+~E(f295(f295(f295(f170(f903(x66402),f903(x66402)),x66403),f156(x66402)),x66401),f120(x66402)) % 192.26/192.34 [6742]~P1(f295(f62(f910(x67422,x67421)),x67423))+P1(f295(f62(f910(x67421,x67422)),f295(f253(x67422,x67421),x67423))) % 192.26/192.34 [6889]P61(x68891,x68892,x68893)+P1(f295(f295(f297(x68891),f635(x68893,x68892,x68891)),x68892)) % 192.26/192.34 [6890]P61(x68901,x68902,x68903)+P1(f295(f295(f297(x68901),f634(x68903,x68902,x68901)),x68902)) % 192.26/192.34 [6899]P1(f295(f284(x68991,x68992),x68993))+P1(f295(f295(x68992,f578(x68993,x68992,x68991)),x68993)) % 192.26/192.34 [6900]P1(f295(f284(x69001,x69002),x69003))+P1(f295(f295(x69002,f595(x69003,x69002,x69001)),x69003)) % 192.26/192.34 [6931]E(f295(f177(f903(x69311)),f158(x69311,x69312,x69313)),f295(f295(f23(a902),f295(f177(f903(x69311)),x69313)),f81(a902)))+~P1(f295(f295(f297(x69311),x69312),f295(f160(x69311),x69313))) % 192.26/192.34 [6970]P1(f295(f223(x69701,x69702),x69703))+P1(f295(f295(f297(x69701),f827(x69703,x69702,x69701)),x69703)) % 192.26/192.34 [6978]~P1(f295(f62(f910(x69782,x69781)),f295(f253(x69781,x69782),x69783)))+P1(f295(f62(f910(x69781,x69782)),x69783)) % 192.26/192.34 [7035]~P1(f295(f295(f297(x70351),x70352),f295(f160(x70351),f121(x70351,x70353))))+P1(f295(f295(f297(x70351),x70352),f295(f160(x70351),x70353))) % 192.26/192.34 [7040]P28(x70401,x70402,x70403)+P1(f295(f295(f297(f901(x70401)),f647(x70403,x70402,x70401)),x70403)) % 192.26/192.34 [7070]E(f295(f125(x70701,x70702),x70703),x70703)+P1(f295(f295(f297(x70701),f701(x70703,x70702,x70701)),f295(f160(x70701),x70703))) % 192.26/192.34 [7084]E(f295(f125(x70841,x70842),x70843),f120(x70841))+P1(f295(f295(f297(x70841),f691(x70843,x70842,x70841)),f295(f160(x70841),x70843))) % 192.26/192.34 [7108]P30(x71081,x71082,x71083)+P1(f295(f295(f297(x71081),f837(x71083,x71082,x71081)),f295(f160(x71081),x71083))) % 192.26/192.34 [7109]P30(x71091,x71092,x71093)+P1(f295(f295(f297(x71091),f838(x71093,x71092,x71091)),f295(f160(x71091),x71093))) % 192.26/192.34 [7110]P30(x71101,x71102,x71103)+P1(f295(f295(f297(x71101),f826(x71102,x71103,x71101)),f295(f160(x71101),x71103))) % 192.26/192.34 [7113]E(f164(x71131,x71132,x71133),x71133)+P1(f295(f295(f297(x71131),f711(x71133,x71132,x71131)),f295(f160(x71131),x71133))) % 192.26/192.34 [7190]P1(f295(f149(x71901,x71902),x71903))+P1(f295(f295(f297(x71901),f692(x71903,x71902,x71901)),f295(f160(x71901),x71903))) % 192.26/192.34 [7199]~P32(x71991,x71993,x71992)+P1(f295(f295(f297(x71991),f637(x71992,x71993,x71991)),f295(f160(x71991),x71992))) % 192.26/192.34 [7200]~P32(x72001,x72003,x72002)+P1(f295(f295(f297(x72001),f670(x72002,x72003,x72001)),f295(f160(x72001),x72002))) % 192.26/192.34 [7201]~P33(x72011,x72013,x72012)+P1(f295(f295(f297(x72011),f780(x72012,x72013,x72011)),f295(f160(x72011),x72012))) % 192.26/192.34 [7202]~P33(x72021,x72022,x72023)+P1(f295(f295(f297(x72021),f804(x72022,x72023,x72021)),f295(f160(x72021),x72023))) % 192.26/192.34 [7203]~P33(x72031,x72033,x72032)+P1(f295(f295(f297(x72031),f805(x72032,x72033,x72031)),f295(f160(x72031),x72032))) % 192.26/192.34 [7238]P1(f295(f295(f297(x72381),x72382),f880(x72383,x72382,x72381)))+~P1(f295(f295(f297(x72381),x72382),f41(f911(x72381,a897),x72383))) % 192.26/192.34 [7240]~P77(x72401)+E(f295(f295(f83(x72401),f295(f295(f6(a902,x72401),x72402),f295(f249(a902),x72403))),f295(x72402,x72403)),f295(f295(f6(a902,x72401),x72402),f295(f249(a902),f295(a119,x72403)))) % 192.26/192.34 [7329]~P33(x73292,x73291,x73293)+P1(f295(x73291,f295(f295(f153(x73292),x73293),f802(x73293,x73291,x73292)))) % 192.26/192.34 [7343]~P1(f295(f295(f297(x73431),x73432),f883(x73432,x73433,x73431)))+P1(f295(f295(f297(x73431),x73432),f42(f911(x73431,a897),x73433))) % 192.26/192.34 [7376]~P77(x73761)+E(f295(f295(f83(x73761),f295(f295(f6(a902,x73761),x73762),f295(f267(a902),x73763))),f295(x73762,f295(a119,x73763))),f295(f295(f6(a902,x73761),x73762),f295(f267(a902),f295(a119,x73763)))) % 192.26/192.34 [7515]P1(f295(f295(f297(f903(x75151)),x75152),f150(x75151,x75153)))+P1(f295(f295(f297(x75151),f665(x75153,x75152,x75151)),f295(f160(x75151),x75152))) % 192.26/192.34 [7531]~P1(f295(f295(f297(f903(x75311)),x75312),f150(x75311,f285(x75311,x75313))))+P1(f295(f295(f297(f903(x75311)),x75312),f285(f903(x75311),f146(x75311,x75313)))) % 192.26/192.34 [7556]~P1(f295(f295(f297(f903(x75561)),x75562),f285(f903(x75561),f146(x75561,x75563))))+P1(f295(f295(f297(f903(x75561)),x75562),f150(x75561,f285(x75561,x75563)))) % 192.26/192.34 [7588]E(f295(f295(f295(f170(f903(x75881),f903(x75881)),x75882),f156(x75881)),x75883),x75883)+~P1(f295(f295(f207(a902),f295(f177(f903(x75881)),x75883)),f81(a902))) % 192.26/192.34 [7623]E(f295(f295(f122(x76231),f807(x76232,x76233,x76231)),f295(f295(f140(x76231),x76233),f818(x76232,x76233,x76231))),x76232)+~P1(f295(f295(f297(x76231),x76233),f295(f160(x76231),x76232))) % 192.26/192.34 [7624]E(f295(f295(f122(x76241),f808(x76242,x76243,x76241)),f295(f295(f140(x76241),x76243),f815(x76242,x76243,x76241))),x76242)+~P1(f295(f295(f297(x76241),x76243),f295(f160(x76241),x76242))) % 192.26/192.34 [7625]E(f295(f295(f122(x76251),f816(x76252,x76253,x76251)),f295(f295(f140(x76251),x76253),f817(x76252,x76253,x76251))),x76252)+~P1(f295(f295(f297(x76251),x76253),f295(f160(x76251),x76252))) % 192.26/192.34 [7645]~P24(x76451,x76452,x76453,f214(f911(x76451,a897)))+P24(f903(x76451),f903(x76452),f295(f143(x76451,x76452),x76453),f214(f911(f903(x76451),a897))) % 192.26/192.34 [7791]E(x77911,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),x77912)),x77913)),f295(f227(a902,a902),x77912)))+~P1(f295(f49(x77911,x77913),x77912)) % 192.26/192.34 [7799]P24(x77991,x77992,x77993,f214(f911(x77991,a897)))+~P24(f903(x77991),f903(x77992),f295(f143(x77991,x77992),x77993),f214(f911(f903(x77991),a897))) % 192.26/192.34 [7837]~P1(f295(f295(f182(x78371),x78372),x78373))+P1(f295(f295(f295(f295(a184,x78371),x78372),f410(x78373,x78372,x78371)),x78373)) % 192.26/192.34 [7838]~P1(f295(f295(f182(x78381),x78382),x78383))+P1(f295(f295(f295(f295(a184,x78381),x78382),f490(x78383,x78382,x78381)),x78383)) % 192.26/192.34 [7844]P1(f295(f295(f297(f911(x78441,a897)),f883(x78442,x78443,x78441)),x78443))+P1(f295(f295(f297(x78441),x78442),f42(f911(x78441,a897),x78443))) % 192.26/192.34 [7934]P1(f295(f295(f297(f903(x79341)),x79342),f150(x79341,x79343)))+~P1(f295(f295(f297(x79341),f665(x79343,x79342,x79341)),x79343)) % 192.26/192.34 [8036]P30(x80361,x80362,x80363)+~P1(f295(x80362,f295(f295(f153(x80361),x80363),f832(x80363,x80362,x80361)))) % 192.26/192.34 [8061]E(x80611,x80612)+~E(f295(f295(f7(x80613,f911(x80613,a897),a897),f297(x80613)),x80611),f295(f295(f7(x80613,f911(x80613,a897),a897),f297(x80613)),x80612)) % 192.26/192.34 [8069]~P1(f295(f295(f297(f910(x80691,x80691)),x80693),f213(x80691,x80692)))+P1(f295(f295(f297(x80691),f611(x80692,x80693,x80691)),x80692)) % 192.26/192.34 [8071]~P1(f295(f295(f297(x80711),x80713),f41(f911(x80711,a897),x80712)))+P1(f295(f295(f297(f911(x80711,a897)),f880(x80712,x80713,x80711)),x80712)) % 192.26/192.34 [8128]P1(f295(f295(f207(f911(x81281,a897)),x81282),f42(f911(x81281,a897),x81283)))+P1(f295(f295(f297(f911(x81281,a897)),f889(x81282,x81283,x81281)),x81283)) % 192.26/192.34 [8202]P24(x82021,x82022,f94(x82022,x82021,f214(f911(x82022,a897)),x82023),f214(f911(x82021,a897)))+~E(f295(f276(x82022,x82021,x82023),f214(f911(x82022,a897))),f214(f911(x82021,a897))) % 192.26/192.34 [8226]~P1(f295(f295(f207(f911(x82261,a897)),x82262),f889(x82262,x82263,x82261)))+P1(f295(f295(f207(f911(x82261,a897)),x82262),f42(f911(x82261,a897),x82263))) % 192.26/192.34 [8257]~P1(f295(f295(f297(x82571),x82572),f295(f160(x82571),f808(x82573,x82572,x82571))))+~P1(f295(f295(f297(x82571),x82572),f295(f160(x82571),x82573))) % 192.26/192.34 [8258]~P1(f295(f295(f297(x82581),x82582),f295(f160(x82581),f817(x82583,x82582,x82581))))+~P1(f295(f295(f297(x82581),x82582),f295(f160(x82581),x82583))) % 192.26/192.34 [8445]E(x84451,f120(x84452))+P1(f295(f295(f297(x84452),f295(f216(x84452,f910(a106,a106)),f295(f246(x84452,x84451),x84453))),f295(f160(x84452),x84451))) % 192.26/192.34 [8538]~P80(x85381)+E(f295(f131(x85381,x85381,f295(f7(x85381,x85381,x85381),f83(x85381)),x85382),f295(f157(x85381),x85383)),f295(f131(x85381,x85381,f83(x85381),x85382),x85383)) % 192.26/192.34 [8737]~P24(x87372,x87371,x87373,f214(f911(x87372,a897)))+E(f295(f276(x87371,x87372,f94(x87372,x87371,f214(f911(x87372,a897)),x87373)),f214(f911(x87371,a897))),f214(f911(x87372,a897))) % 192.26/192.34 [9072]~P114(x90721)+E(f295(f160(x90721),f138(x90721,x90721,f5(x90721),x90722,x90723)),f295(f295(f275(x90721),x90722),f295(f160(x90721),x90723))) % 192.26/192.34 [9083]~E(f295(x90833,f295(f94(x90831,x90832,f214(f911(x90831,a897)),x90833),f365(x90833,x90832,x90831))),f365(x90833,x90832,x90831))+E(f295(f276(x90831,x90832,x90833),f214(f911(x90831,a897))),f214(f911(x90832,a897))) % 192.26/192.34 [9085]P1(f295(f295(f208(a902),f2(a902)),f772(x90851,x90852,x90853)))+~P1(f295(f295(f297(f910(x90853,x90853)),x90852),f295(f295(f255(x90853,x90853,x90853),x90851),f273(x90853,x90851)))) % 192.26/192.34 [9364]~P63(x93641,x93642)+~P1(f295(f295(f297(f910(x93641,x93641)),f295(f295(f217(x93641,x93641),x93643),x93643)),f295(f295(f255(x93641,x93641,x93641),x93642),f273(x93641,x93642)))) % 192.26/192.34 [9496]~E(f295(f295(f108(f911(f910(x94961,x94961),a897)),f295(f253(x94961,x94961),x94962)),f273(x94961,x94962)),f176(f911(f910(x94961,x94961),a897)))+~P1(f295(f295(f297(f910(x94961,x94961)),f295(f295(f217(x94961,x94961),x94963),x94963)),f295(f295(f255(x94961,x94961,x94961),x94962),f273(x94961,x94962)))) % 192.26/192.34 [9665]~P1(f295(f62(x96651),x96652))+P1(f295(f295(f207(a902),f295(f39(x96651),f295(f295(f23(f911(x96651,a897)),x96652),f295(f295(f275(x96651),x96653),f176(f911(x96651,a897)))))),f295(f39(x96651),x96652))) % 192.26/192.34 [5224]~E(x52243,f120(x52241))+E(f133(x52241,f295(f295(f140(x52241),x52242),x52243)),x52242) % 192.26/192.34 [5234]~E(x52343,f120(x52341))+E(f121(x52341,f295(f295(f140(x52341),x52342),x52343)),f120(x52341)) % 192.26/192.34 [5263]E(x52631,f120(x52632))+E(f133(x52632,f295(f295(f122(x52632),x52633),x52631)),f133(x52632,x52631)) % 192.26/192.34 [5265]E(x52651,f120(x52652))+E(f133(x52652,f295(f295(f140(x52652),x52653),x52651)),f133(x52652,x52651)) % 192.26/192.34 [5271]~E(x52713,f120(x52711))+E(f133(x52711,f295(f295(f122(x52711),x52712),x52713)),f133(x52711,x52712)) % 192.26/192.34 [5272]~E(x52723,f120(x52721))+E(f121(x52721,f295(f295(f122(x52721),x52722),x52723)),f121(x52721,x52722)) % 192.26/192.34 [5305]E(x53051,f120(x53052))+E(f295(f130(x53052),f295(f295(f122(x53052),x53051),x53053)),f295(f130(x53052),x53051)) % 192.26/192.34 [5334]~E(x53342,f120(x53341))+E(f295(f130(x53341),f295(f295(f122(x53341),x53342),x53343)),f295(f130(x53341),x53343)) % 192.26/192.34 [5385]~P99(x53851)+E(f295(f295(f117(x53851),x53852),f295(f295(f108(x53851),x53852),x53853)),x53852) % 192.26/192.34 [5386]~P99(x53861)+E(f295(f295(f108(x53861),x53862),f295(f295(f117(x53861),x53862),x53863)),x53862) % 192.26/192.34 [5387]~P114(x53871)+E(f295(f295(f205(x53871),x53872),f295(f295(f206(x53871),x53872),x53873)),x53872) % 192.26/192.34 [5388]~P114(x53881)+E(f295(f295(f206(x53881),x53882),f295(f295(f205(x53881),x53882),x53883)),x53882) % 192.26/192.34 [5404]~P69(x54041)+E(f46(x54041,f295(f295(f84(x54041),x54042),x54043),x54043),f2(x54041)) % 192.26/192.34 [5405]~P69(x54051)+E(f46(x54051,f295(f295(f84(x54051),x54052),x54053),x54052),f2(x54051)) % 192.26/192.34 [5480]~P67(x54801)+E(f295(f82(x54801),f295(f295(f23(x54801),x54802),x54803)),f295(f295(f23(x54801),x54803),x54802)) % 192.26/192.34 [5543]E(x55431,f120(x55432))+E(f121(x55432,f295(f295(f122(x55432),x55433),x55431)),f295(f295(f122(x55432),x55433),f121(x55432,x55431))) % 192.26/192.34 [5544]E(x55441,f120(x55442))+E(f121(x55442,f295(f295(f140(x55442),x55443),x55441)),f295(f295(f140(x55442),x55443),f121(x55442,x55441))) % 192.26/192.34 [5547]~P6(x55471)+E(f42(x55471,f295(f295(f275(x55471),x55472),x55473)),f295(f295(f108(x55471),x55472),f42(x55471,x55473))) % 192.26/192.34 [5548]~P6(x55481)+E(f41(x55481,f295(f295(f275(x55481),x55482),x55483)),f295(f295(f117(x55481),x55482),f41(x55481,x55483))) % 192.26/192.34 [5593]~P99(x55931)+E(f295(f295(f117(x55931),x55932),f295(f295(f117(x55931),x55932),x55933)),f295(f295(f117(x55931),x55932),x55933)) % 192.26/192.34 [5595]~P109(x55951)+E(f295(f295(f117(x55951),x55952),f295(f295(f117(x55951),x55952),x55953)),f295(f295(f117(x55951),x55952),x55953)) % 192.26/192.34 [5596]~P99(x55961)+E(f295(f295(f108(x55961),x55962),f295(f295(f108(x55961),x55962),x55963)),f295(f295(f108(x55961),x55962),x55963)) % 192.26/192.34 [5598]~P110(x55981)+E(f295(f295(f108(x55981),x55982),f295(f295(f108(x55981),x55982),x55983)),f295(f295(f108(x55981),x55982),x55983)) % 192.26/192.34 [5600]~P114(x56001)+E(f295(f295(f205(x56001),x56002),f295(f295(f205(x56001),x56002),x56003)),f295(f295(f205(x56001),x56002),x56003)) % 192.26/192.34 [5602]~P114(x56021)+E(f295(f295(f206(x56021),x56022),f295(f295(f206(x56021),x56022),x56023)),f295(f295(f206(x56021),x56022),x56023)) % 192.26/192.34 [5603]~P106(x56031)+E(f295(f295(f84(x56031),x56032),f295(f295(f84(x56031),x56032),x56033)),f295(f295(f84(x56031),x56032),x56033)) % 192.26/192.34 [5610]~P69(x56101)+E(f46(x56101,f295(f295(f83(x56101),x56102),x56103),x56103),f46(x56101,x56102,x56103)) % 192.26/192.34 [5611]~P69(x56111)+E(f46(x56111,f295(f295(f83(x56111),x56112),x56113),x56112),f46(x56111,x56113,x56112)) % 192.26/192.34 [5619]~P130(x56191)+E(f295(f295(f84(x56191),x56192),f295(f82(x56191),x56193)),f295(f82(x56191),f295(f295(f84(x56191),x56192),x56193))) % 192.26/192.34 [5620]~P72(x56201)+E(f295(f295(f256(x56201),x56202),f295(f82(x56201),x56203)),f295(f82(x56201),f295(f295(f256(x56201),x56202),x56203))) % 192.26/192.34 [5621]~P88(x56211)+E(f295(f295(f83(x56211),x56212),f295(f154(x56211),x56213)),f295(f154(x56211),f295(f295(f140(x56211),x56212),x56213))) % 192.26/192.34 [5649]~P130(x56491)+E(f295(f295(f84(x56491),f295(f82(x56491),x56492)),x56493),f295(f295(f84(x56491),x56492),f295(f82(x56491),x56493))) % 192.26/192.34 [5655]~P9(x56551,x56552,x56553)+E(f41(f911(x56551,a897),f295(f295(f61(x56551),x56552),x56553)),x56552) % 192.26/192.34 [5718]~P121(x57181)+E(f295(f295(f84(x57181),x57182),f295(f295(f218(x57181),x57182),x57183)),f295(f295(f218(x57181),x57182),f295(a119,x57183))) % 192.26/192.34 [5719]~P123(x57191)+E(f295(f295(f84(x57191),x57192),f295(f295(f218(x57191),x57192),x57193)),f295(f295(f218(x57191),x57192),f295(a119,x57193))) % 192.26/192.34 [5729]~P76(x57291)+E(f295(f295(f83(x57291),f295(f82(x57291),x57292)),f295(f295(f83(x57291),x57292),x57293)),x57293) % 192.26/192.34 [5752]~P118(x57521)+E(f295(f295(f218(x57521),f295(f107(x57521),x57522)),x57523),f295(f107(x57521),f295(f295(f218(a902),x57522),x57523))) % 192.26/192.34 [5753]~P145(x57531)+E(f295(f295(f218(x57531),f295(f109(x57531),x57532)),x57533),f295(f109(x57531),f295(f295(f218(a1),x57532),x57533))) % 192.26/192.34 [5758]~P93(x57581)+E(f295(f77(x57581),f295(f295(f23(x57581),x57582),x57583)),f295(f77(x57581),f295(f295(f23(x57581),x57583),x57582))) % 192.26/192.34 [5760]~P119(x57601)+E(f295(f295(f84(x57601),f85(x57601,x57602)),f85(x57601,x57603)),f85(x57601,f295(f295(f84(x57601),x57602),x57603))) % 192.26/192.34 [5764]E(x57641,f120(x57642))+E(f295(f295(f122(x57642),f295(f159(x57642),x57641)),x57643),f295(f159(x57642),f295(f295(f122(x57642),x57641),x57643))) % 192.26/192.34 [5769]~E(x57692,f295(a119,f295(f295(f83(a902),x57691),x57693)))+P1(f295(f295(f208(a902),x57691),x57692)) % 192.26/192.34 [5770]~P130(x57701)+E(f295(f295(f84(x57701),f295(f82(x57701),x57702)),x57703),f295(f82(x57701),f295(f295(f84(x57701),x57702),x57703))) % 192.26/192.34 [5771]~P126(x57711)+E(f295(f295(f256(x57711),f295(f82(x57711),x57712)),x57713),f295(f82(x57711),f295(f295(f256(x57711),x57712),x57713))) % 192.26/192.34 [5772]~P119(x57721)+E(f295(f295(f218(x57721),f295(f77(x57721),x57722)),x57723),f295(f77(x57721),f295(f295(f218(x57721),x57722),x57723))) % 192.26/192.34 [5869]E(f316(x58691,x58692,x58693),f317(x58691,x58692,x58693))+E(f295(f295(f108(f911(x58693,a897)),x58692),x58691),f176(f911(x58693,a897))) % 192.26/192.34 [5883]~P77(x58832)+E(f295(f295(f6(x58831,x58832),f295(f16(x58832,x58831),f2(x58832))),x58833),f2(x58832)) % 192.26/192.34 [5884]~P83(x58842)+E(f295(f295(f9(x58841,x58842),f295(f16(x58842,x58841),f81(x58842))),x58843),f81(x58842)) % 192.26/192.34 [5886]~P118(x58861)+E(f295(f295(f83(x58861),f295(f107(x58861),x58862)),f295(f107(x58861),x58863)),f295(f107(x58861),f295(f295(f83(a902),x58862),x58863))) % 192.26/192.34 [5887]~P118(x58871)+E(f295(f295(f84(x58871),f295(f107(x58871),x58872)),f295(f107(x58871),x58873)),f295(f107(x58871),f295(f295(f84(a902),x58872),x58873))) % 192.26/192.34 [5888]~P145(x58881)+E(f295(f295(f23(x58881),f295(f109(x58881),x58882)),f295(f109(x58881),x58883)),f295(f109(x58881),f295(f295(f23(a1),x58882),x58883))) % 192.26/192.34 [5889]~P145(x58891)+E(f295(f295(f83(x58891),f295(f109(x58891),x58892)),f295(f109(x58891),x58893)),f295(f109(x58891),f295(f295(f83(a1),x58892),x58893))) % 192.26/192.34 [5890]~P145(x58901)+E(f295(f295(f84(x58901),f295(f109(x58901),x58902)),f295(f109(x58901),x58903)),f295(f109(x58901),f295(f295(f84(a1),x58902),x58903))) % 192.26/192.34 [5891]~P104(x58911)+E(f295(f295(f23(x58911),f295(f110(x58911),x58912)),f295(f110(x58911),x58913)),f295(f110(x58911),f295(f295(f23(a1),x58912),x58913))) % 192.26/192.34 [5894]~P104(x58941)+E(f295(f295(f83(x58941),f295(f110(x58941),x58942)),f295(f110(x58941),x58943)),f295(f110(x58941),f295(f295(f83(a1),x58942),x58943))) % 192.26/192.34 [5895]~P104(x58951)+E(f295(f295(f84(x58951),f295(f110(x58951),x58952)),f295(f110(x58951),x58953)),f295(f110(x58951),f295(f295(f84(a1),x58952),x58953))) % 192.26/192.34 [5943]~E(x59433,x59432)+P1(f295(f295(f207(f911(x59431,a897)),x59432),x59433)) % 192.26/192.34 [5949]~E(x59492,x59493)+P1(f295(f295(f207(f911(x59491,a897)),x59492),x59493)) % 192.26/192.34 [5954]~P102(x59541)+E(f295(f295(f108(x59541),f295(f82(x59541),x59542)),f295(f82(x59541),x59543)),f295(f82(x59541),f295(f295(f117(x59541),x59542),x59543))) % 192.26/192.34 [5955]~P102(x59551)+E(f295(f295(f117(x59551),f295(f82(x59551),x59552)),f295(f82(x59551),x59553)),f295(f82(x59551),f295(f295(f108(x59551),x59552),x59553))) % 192.26/192.34 [5956]~P76(x59561)+E(f295(f295(f83(x59561),f295(f82(x59561),x59562)),f295(f82(x59561),x59563)),f295(f82(x59561),f295(f295(f83(x59561),x59563),x59562))) % 192.26/192.34 [5957]~P67(x59571)+E(f295(f295(f83(x59571),f295(f82(x59571),x59572)),f295(f82(x59571),x59573)),f295(f82(x59571),f295(f295(f83(x59571),x59572),x59573))) % 192.26/192.34 [5958]~P84(x59581)+E(f295(f295(f206(x59581),f295(f82(x59581),x59582)),f295(f82(x59581),x59583)),f295(f82(x59581),f295(f295(f205(x59581),x59582),x59583))) % 192.26/192.34 [5959]~P84(x59591)+E(f295(f295(f205(x59591),f295(f82(x59591),x59592)),f295(f82(x59591),x59593)),f295(f82(x59591),f295(f295(f206(x59591),x59592),x59593))) % 192.26/192.34 [5960]~P119(x59601)+E(f295(f295(f84(x59601),f295(f77(x59601),x59602)),f295(f77(x59601),x59603)),f295(f77(x59601),f295(f295(f84(x59601),x59602),x59603))) % 192.26/192.34 [5961]~P74(x59611)+E(f295(f295(f256(x59611),f295(f77(x59611),x59612)),f295(f77(x59611),x59613)),f295(f77(x59611),f295(f295(f256(x59611),x59612),x59613))) % 192.26/192.34 [5962]~P88(x59621)+E(f295(f295(f83(x59621),f295(f154(x59621),x59622)),f295(f154(x59621),x59623)),f295(f154(x59621),f295(f295(f122(x59621),x59622),x59623))) % 192.26/192.34 [5963]E(x59631,f176(f911(x59632,a897)))+~E(f295(f295(f117(f911(x59632,a897)),x59633),x59631),f176(f911(x59632,a897))) % 192.26/192.34 [5964]E(x59641,f176(f911(x59642,a897)))+~E(f295(f295(f117(f911(x59642,a897)),x59641),x59643),f176(f911(x59642,a897))) % 192.26/192.34 [5965]~P153(x59651,x59653,x59652)+P1(f295(x59651,f295(f295(f40(a1),x59652),x59653))) % 192.26/192.34 [6018]~P1(f295(f62(x60181),x60183))+P1(f295(f62(x60181),f295(f295(f275(x60181),x60182),x60183))) % 192.26/192.34 [6019]~P1(f295(f126(x60191),x60193))+P1(f295(f126(x60191),f295(f295(f161(x60191),x60192),x60193))) % 192.26/192.34 [6020]~P1(f295(f126(x60201),x60203))+P1(f295(f126(x60201),f295(f295(f127(x60201),x60202),x60203))) % 192.26/192.34 [6050]~P99(x60501)+P1(f295(f295(f207(x60501),x60502),f295(f295(f117(x60501),x60503),x60502))) % 192.26/192.34 [6051]~P109(x60511)+P1(f295(f295(f207(x60511),x60512),f295(f295(f117(x60511),x60513),x60512))) % 192.26/192.34 [6052]~P99(x60521)+P1(f295(f295(f207(x60521),x60522),f295(f295(f117(x60521),x60522),x60523))) % 192.26/192.34 [6053]~P109(x60531)+P1(f295(f295(f207(x60531),x60532),f295(f295(f117(x60531),x60532),x60533))) % 192.26/192.34 [6054]~P114(x60541)+P1(f295(f295(f207(x60541),x60542),f295(f295(f206(x60541),x60543),x60542))) % 192.26/192.34 [6055]~P114(x60551)+P1(f295(f295(f207(x60551),x60552),f295(f295(f206(x60551),x60552),x60553))) % 192.26/192.34 [6068]~E(x60681,f2(a902))+E(f295(f295(f40(a902),f295(f295(f84(a902),x60681),x60682)),f295(f295(f84(a902),x60681),x60683)),f2(a902)) % 192.26/192.34 [6136]P1(f295(x61361,x61362))+P1(f295(f295(f182(f32(x61361,x61363)),x61362),x61362)) % 192.26/192.34 [6151]~P104(x61511)+E(f295(f295(f23(x61511),f295(f110(x61511),x61512)),f295(f110(x61511),x61513)),f295(f110(x61511),f295(f295(f83(a1),x61512),f295(f82(a1),x61513)))) % 192.26/192.34 [6206]E(x62061,f2(a902))+E(f295(f295(f40(a902),f295(f295(f84(a902),x62061),x62062)),f295(f295(f84(a902),x62061),x62063)),f295(f295(f40(a902),x62062),x62063)) % 192.26/192.34 [6235]E(f141(x62351,f295(f295(f140(x62351),x62352),x62353)),f295(f295(f140(x62351),x62352),f141(x62351,x62353)))+P1(f295(f295(f297(x62351),x62352),f295(f160(x62351),x62353))) % 192.26/192.34 [6271]P153(x62711,x62712,x62713)+~P1(f295(x62711,f295(f295(f40(a1),x62713),x62712))) % 192.26/192.34 [6338]E(x63381,f120(x63382))+E(f295(f295(f140(x63382),f295(f130(x63382),x63381)),f295(f295(f161(x63382),x63383),f295(f159(x63382),x63381))),f295(f295(f161(x63382),f295(a119,x63383)),x63381)) % 192.26/192.34 [6344]E(f295(f295(f23(f911(x63441,a897)),x63442),x63443),x63442)+~E(f295(f295(f108(f911(x63441,a897)),x63442),x63443),f176(f911(x63441,a897))) % 192.26/192.34 [6358]E(f141(x63581,f295(f295(f140(x63581),x63582),x63583)),f141(x63581,x63583))+~P1(f295(f295(f297(x63581),x63582),f295(f160(x63581),x63583))) % 192.26/192.34 [6388]~P1(f295(f295(f207(a902),x63881),x63883))+P1(f295(f295(f207(a902),x63881),f295(f295(f83(a902),x63882),x63883))) % 192.26/192.34 [6390]~P1(f295(f295(f207(a902),x63901),x63902))+P1(f295(f295(f207(a902),x63901),f295(f295(f83(a902),x63902),x63903))) % 192.26/192.34 [6392]~P1(f295(f295(f208(a902),x63921),x63923))+P1(f295(f295(f208(a902),x63921),f295(f295(f83(a902),x63922),x63923))) % 192.26/192.34 [6394]~P1(f295(f295(f208(a902),x63941),x63942))+P1(f295(f295(f208(a902),x63941),f295(f295(f83(a902),x63942),x63943))) % 192.26/192.34 [6433]P1(f295(f62(x64331),x64332))+~P1(f295(f62(x64331),f295(f295(f275(x64331),x64333),x64332))) % 192.26/192.34 [6434]P1(f295(f126(x64341),x64342))+~P1(f295(f126(x64341),f295(f295(f122(x64341),x64343),x64342))) % 192.26/192.34 [6435]P1(f295(f126(x64351),x64352))+~P1(f295(f126(x64351),f295(f295(f122(x64351),x64352),x64353))) % 192.26/192.34 [6436]P1(f295(f126(x64361),x64362))+~P1(f295(f126(x64361),f295(f295(f140(x64361),x64363),x64362))) % 192.26/192.34 [6486]~P123(x64861)+E(f295(f295(f83(x64861),x64862),f295(f295(f84(x64861),x64863),x64862)),f295(f295(f84(x64861),f295(f295(f83(x64861),x64863),f81(x64861))),x64862)) % 192.26/192.34 [6533]~E(x65331,x65332)+~P1(f295(f295(f208(f911(x65333,a897)),x65331),x65332)) % 192.26/192.34 [6580]P1(f295(f295(f297(x65801),x65802),x65803))+P1(f295(f295(f297(x65801),x65802),f295(f82(f911(x65801,a897)),x65803))) % 192.26/192.34 [6586]E(f133(x65861,f295(f295(f127(x65861),x65862),x65863)),f133(x65861,x65863))+~P1(f295(f295(f208(a902),x65862),f295(f177(f903(x65861)),x65863))) % 192.26/192.34 [6587]E(f295(f295(f161(x65871),x65872),f121(x65871,x65873)),f295(f295(f161(x65871),x65872),x65873))+~P1(f295(f295(f208(a902),x65872),f295(f177(f903(x65871)),x65873))) % 192.26/192.34 [6642]E(f295(f295(f295(f170(f903(x66421),f903(x66421)),x66422),f156(x66421)),x66423),x66423)+~E(f46(a902,x66422,f295(f177(f903(x66421)),x66423)),f2(a902)) % 192.26/192.34 [6649]~P9(x66491,x66493,x66492)+E(f295(f295(f255(x66491,x66491,x66491),f295(f253(x66491,x66491),x66492)),x66492),x66492) % 192.26/192.34 [6690]~E(f295(f295(f117(f911(x66901,a897)),x66902),x66903),x66903)+P1(f295(f295(f207(f911(x66901,a897)),x66902),x66903)) % 192.26/192.34 [6695]~P60(x66951,x66951,x66953)+P60(x66951,x66951,f295(f295(f170(f910(x66951,x66951),a897),x66952),x66953)) % 192.26/192.34 [6698]~P1(f295(f295(f297(x66981),x66983),f295(f160(x66981),x66982)))+P1(f295(f295(f208(a902),f2(a902)),f295(f177(f903(x66981)),x66982))) % 192.26/192.34 [6724]~P93(x67241)+E(f295(f77(x67241),f295(f295(f83(x67241),f295(f77(x67241),x67242)),f295(f77(x67241),x67243))),f295(f295(f83(x67241),f295(f77(x67241),x67242)),f295(f77(x67241),x67243))) % 192.26/192.34 [6735]E(f295(f295(f40(a902),f295(f295(f84(a902),x67351),x67352)),f295(f295(f84(a902),x67351),x67353)),f295(f295(f40(a902),x67352),x67353))+~P1(f295(f295(f208(a902),f2(a902)),x67351)) % 192.26/192.34 [6783]E(x67831,x67832)+~P1(f295(f295(f295(f295(a184,a25),x67831),x67833),x67832)) % 192.26/192.34 [6870]~P1(f295(f62(x68701),x68703))+E(f295(f295(f65(x68701,f911(x68701,a897),f275(x68701)),x68702),x68703),f295(f295(f117(f911(x68701,a897)),x68703),x68702)) % 192.26/192.34 [6924]E(f295(f295(f117(f911(x69241,a897)),x69242),x69243),x69242)+~P1(f295(f295(f207(f911(x69241,a897)),x69243),x69242)) % 192.26/192.34 [6926]E(f295(f295(f117(f911(x69261,a897)),x69262),x69263),x69263)+~P1(f295(f295(f207(f911(x69261,a897)),x69262),x69263)) % 192.26/192.34 [6927]E(f295(f295(f108(f911(x69271,a897)),x69272),x69273),x69273)+~P1(f295(f295(f207(f911(x69271,a897)),x69273),x69272)) % 192.26/192.34 [6928]E(f295(f295(f108(f911(x69281,a897)),x69282),x69283),x69282)+~P1(f295(f295(f207(f911(x69281,a897)),x69282),x69283)) % 192.26/192.34 [6976]~P1(f295(f126(x69761),x69762))+E(f295(f295(f23(f911(x69761,a897)),f295(f160(x69761),x69762)),f295(f295(f275(x69761),x69763),f176(f911(x69761,a897)))),f295(f160(x69761),f158(x69761,x69763,x69762))) % 192.26/192.34 [7030]P36(x70301,x70302)+~P36(x70301,f295(f295(f170(f910(x70301,x70301),a897),x70303),x70302)) % 192.26/192.34 [7096]P1(f295(f50(x70961,x70962),f295(a52,x70963)))+~P1(f295(f50(f295(f82(a1),x70961),f295(f82(a1),x70962)),x70963)) % 192.26/192.34 [7101]E(f295(f295(f23(f911(x71011,a897)),f295(f295(f275(x71011),x71012),x71013)),f295(f295(f275(x71011),x71012),f176(f911(x71011,a897)))),x71013)+P1(f295(f295(f297(x71011),x71012),x71013)) % 192.26/192.34 [7123]E(f295(f295(f108(f911(x71231,a897)),f295(f160(x71231),x71232)),f295(f160(x71231),x71233)),f176(f911(x71231,a897)))+~P1(f295(f126(x71231),f295(f295(f122(x71231),x71232),x71233))) % 192.26/192.34 [7138]~P1(f295(f295(f297(x71381),x71382),f295(f160(x71381),x71383)))+~P1(f295(f126(x71381),f295(f295(f140(x71381),x71382),x71383))) % 192.26/192.34 [7210]P30(x72101,x72102,x72103)+P1(f295(f295(f208(a902),f832(x72103,x72102,x72101)),f295(f177(f903(x72101)),x72103))) % 192.26/192.34 [7220]E(f295(f295(f108(f911(x72201,a897)),x72202),x72203),f176(f911(x72201,a897)))+P1(f295(f295(f297(x72201),f316(x72203,x72202,x72201)),x72202)) % 192.26/192.34 [7221]E(f295(f295(f108(f911(x72211,a897)),x72212),x72213),f176(f911(x72211,a897)))+P1(f295(f295(f297(x72211),f317(x72213,x72212,x72211)),x72213)) % 192.26/192.34 [7224]E(f121(x72241,f295(f295(f161(x72241),x72242),x72243)),f295(f295(f161(x72241),f295(f295(f23(a902),x72242),f81(a902))),x72243))+~P1(f295(f295(f207(a902),x72242),f295(f177(f903(x72241)),x72243))) % 192.26/192.34 [7284]~P33(x72843,x72842,x72841)+P1(f295(f295(f208(a902),f802(x72841,x72842,x72843)),f295(f177(f903(x72843)),x72841))) % 192.26/192.34 [7303]P1(f295(f295(f208(a902),f2(a902)),x73031))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x73032),x73031)),f295(f295(f84(a902),x73033),x73031))) % 192.26/192.34 [7304]P1(f295(f295(f208(a902),f2(a902)),x73041))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x73041),x73042)),f295(f295(f84(a902),x73041),x73043))) % 192.26/192.34 [7307]~P1(f295(f295(f297(x73071),x73072),x73073))+~P1(f295(f295(f297(x73071),x73072),f295(f82(f911(x73071,a897)),x73073))) % 192.26/192.34 [7313]~P1(f295(f295(f208(f911(x73131,a897)),x73132),x73133))+P1(f295(f295(f207(f911(x73131,a897)),x73132),x73133)) % 192.26/192.34 [7422]~P1(f295(f295(f207(a902),x74223),x74222))+P1(f295(f295(f207(a902),f295(f295(f23(a902),x74221),x74222)),f295(f295(f23(a902),x74221),x74223))) % 192.26/192.34 [7423]~P1(f295(f295(f207(a902),x74231),x74233))+P1(f295(f295(f207(a902),f295(f295(f23(a902),x74231),x74232)),f295(f295(f23(a902),x74233),x74232))) % 192.26/192.34 [7424]~P1(f295(f295(f207(a902),x74242),x74243))+P1(f295(f295(f207(a902),f295(f295(f83(a902),x74241),x74242)),f295(f295(f83(a902),x74241),x74243))) % 192.26/192.34 [7425]~P1(f295(f295(f207(a902),x74251),x74253))+P1(f295(f295(f207(a902),f295(f295(f83(a902),x74251),x74252)),f295(f295(f83(a902),x74253),x74252))) % 192.26/192.34 [7427]~P1(f295(f295(f207(a902),x74272),x74273))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x74271),x74272)),f295(f295(f84(a902),x74271),x74273))) % 192.26/192.34 [7429]~P1(f295(f295(f207(a902),x74291),x74293))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x74291),x74292)),f295(f295(f84(a902),x74293),x74292))) % 192.26/192.34 [7430]~P1(f295(f295(f207(a902),x74301),x74303))+P1(f295(f295(f207(a902),f295(f295(f40(a902),x74301),x74302)),f295(f295(f40(a902),x74303),x74302))) % 192.26/192.34 [7431]~P1(f295(f295(f207(a1),x74312),x74313))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x74311),x74312)),f295(f295(f83(a1),x74311),x74313))) % 192.26/192.34 [7434]~P1(f295(f295(f208(a902),x74342),x74343))+P1(f295(f295(f208(a902),f295(f295(f83(a902),x74341),x74342)),f295(f295(f83(a902),x74341),x74343))) % 192.26/192.34 [7435]~P1(f295(f295(f208(a902),x74351),x74353))+P1(f295(f295(f208(a902),f295(f295(f83(a902),x74351),x74352)),f295(f295(f83(a902),x74353),x74352))) % 192.26/192.34 [7436]~P1(f295(f295(f208(a1),x74361),x74363))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x74361),x74362)),f295(f295(f83(a1),x74363),x74362))) % 192.26/192.34 [7514]E(x75141,x75142)+~P1(f295(f295(f297(x75143),x75141),f295(f295(f275(x75143),x75142),f176(f911(x75143,a897))))) % 192.26/192.34 [7516]~E(f295(f295(f108(f911(x75161,a897)),x75162),x75163),f176(f911(x75161,a897)))+P1(f295(f295(f207(f911(x75161,a897)),x75162),f295(f82(f911(x75161,a897)),x75163))) % 192.26/192.34 [7522]P1(f295(f295(f297(f911(x75221,a897)),x75222),f295(f274(x75221),x75223)))+~P1(f295(f295(f207(f911(x75221,a897)),x75222),x75223)) % 192.26/192.34 [7527]P1(f295(f295(f297(x75271),f894(x75272,x75273,x75271)),x75273))+P1(f295(f295(f207(f911(x75271,a897)),x75273),x75272)) % 192.26/192.34 [7573]E(f295(f295(f140(x75731),f295(f295(f153(x75731),x75732),x75733)),f295(f295(f127(x75731),f295(a119,x75733)),x75732)),f295(f295(f127(x75731),x75733),x75732))+~P1(f295(f295(f208(a902),x75733),f295(f177(f903(x75731)),x75732))) % 192.26/192.34 [7598]P1(f295(f295(f297(f910(x75981,x75981)),x75982),f273(x75981,x75983)))+~P1(f295(f295(f297(f910(x75981,x75981)),x75982),x75983)) % 192.26/192.34 [7608]~P1(f295(f295(f297(f911(x76081,a897)),x76082),f295(f274(x76081),x76083)))+P1(f295(f295(f207(f911(x76081,a897)),x76082),x76083)) % 192.26/192.34 [7651]P1(f295(f295(f207(f911(x76511,a897)),x76512),f41(f911(x76511,a897),x76513)))+~P1(f295(f295(f297(f911(x76511,a897)),x76512),x76513)) % 192.26/192.34 [7673]~P145(x76731)+E(f295(f295(f84(x76731),f295(f295(f218(x76731),f295(f82(x76731),f81(x76731))),x76732)),f295(f295(f218(x76731),x76733),x76732)),f295(f295(f218(x76731),f295(f82(x76731),x76733)),x76732)) % 192.26/192.34 [7695]E(f295(f295(f153(x76951),x76952),f295(f295(f23(a902),f295(f177(f903(x76951)),x76952)),f295(a119,x76953))),f295(f295(f153(x76951),f295(f157(x76951),x76952)),x76953))+~P1(f295(f295(f208(a902),x76953),f295(f177(f903(x76951)),x76952))) % 192.26/192.34 [7712]~E(f295(f295(f108(f911(x77121,a897)),f318(x77123,x77122,x77121)),x77123),f176(f911(x77121,a897)))+E(f295(f295(f108(f911(x77121,a897)),f41(f911(x77121,a897),x77122)),x77123),f176(f911(x77121,a897))) % 192.26/192.34 [7773]~P1(f295(f295(f297(x77733),x77732),f295(f160(x77733),x77731)))+P1(f295(f295(f208(a902),f642(x77731,x77732,x77733)),f295(f177(f903(x77733)),x77731))) % 192.26/192.34 [7782]P1(f295(f295(f297(x77821),f295(f295(f153(x77821),x77822),x77823)),f295(f160(x77821),x77822)))+~P1(f295(f295(f208(a902),x77823),f295(f177(f903(x77821)),x77822))) % 192.26/192.34 [7881]~P1(f295(x78812,f715(x78813,x78812,x78811)))+E(f295(f295(f127(x78811),f295(f177(f903(x78811)),f164(x78811,x78812,x78813))),x78813),f120(x78811)) % 192.26/192.34 [7893]P1(f295(f295(f207(f911(f903(x78931),a897)),f150(x78931,x78932)),f150(x78931,x78933)))+~P1(f295(f295(f207(f911(x78931,a897)),x78932),x78933)) % 192.26/192.34 [7894]P1(f295(f295(f207(f911(f903(x78941),a897)),f149(x78941,x78942)),f149(x78941,x78943)))+~P1(f295(f295(f207(f911(x78941,a897)),x78942),x78943)) % 192.26/192.34 [7922]E(f295(f295(f108(f911(x79221,a897)),f41(f911(x79221,a897),x79222)),x79223),f176(f911(x79221,a897)))+P1(f295(f295(f297(f911(x79221,a897)),f318(x79223,x79222,x79221)),x79222)) % 192.26/192.34 [7924]~P1(f295(f295(f297(f911(x79241,a897)),x79243),x79242))+P1(f295(f295(f207(f911(x79241,a897)),f42(f911(x79241,a897),x79242)),x79243)) % 192.26/192.34 [7926]E(f295(f295(f108(f911(x79261,a897)),x79262),x79263),f176(f911(x79261,a897)))+~P1(f295(f295(f207(f911(x79261,a897)),x79262),f295(f82(f911(x79261,a897)),x79263))) % 192.26/192.34 [7975]E(f295(f295(f23(a902),f295(f295(f83(a902),f295(f154(a902),x79751)),x79752)),f295(f295(f153(a902),x79751),x79753)),f295(f154(a902),f295(f295(f148(a902,x79751),x79753),x79752)))+~P1(f295(f295(f208(a902),x79753),f295(f177(f903(a902)),x79751))) % 192.26/192.34 [8025]P1(f295(f295(f207(a902),x80251),x80252))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),x80253),x80251)),f295(f295(f83(a902),x80253),x80252))) % 192.26/192.34 [8028]P1(f295(f295(f208(a902),x80281),x80282))+~P1(f295(f295(f208(a902),f295(f295(f83(a902),x80283),x80281)),f295(f295(f83(a902),x80283),x80282))) % 192.26/192.34 [8029]P1(f295(f295(f208(a902),x80291),x80292))+~P1(f295(f295(f208(a902),f295(f295(f84(a902),x80293),x80291)),f295(f295(f84(a902),x80293),x80292))) % 192.26/192.34 [8030]P1(f295(f295(f208(a902),x80301),x80302))+~P1(f295(f295(f208(a902),f295(f295(f84(a902),x80301),x80303)),f295(f295(f84(a902),x80302),x80303))) % 192.26/192.34 [8059]P1(f295(f295(f208(a902),f2(a902)),x80591))+~P1(f295(f295(f208(a902),f295(f295(f84(a902),x80592),x80591)),f295(f295(f84(a902),x80593),x80591))) % 192.26/192.34 [8060]P1(f295(f295(f208(a902),f2(a902)),x80601))+~P1(f295(f295(f208(a902),f295(f295(f84(a902),x80601),x80602)),f295(f295(f84(a902),x80601),x80603))) % 192.26/192.34 [8098]~P1(f295(f295(f297(x80981),f894(x80983,x80982,x80981)),x80983))+P1(f295(f295(f207(f911(x80981,a897)),x80982),x80983)) % 192.26/192.34 [8134]E(f221(x81341,x81342,x81343),x81342)+~P1(f295(f295(f207(f911(x81341,a897)),x81343),f295(f295(f275(x81341),x81342),f176(f911(x81341,a897))))) % 192.26/192.34 [8147]~E(f295(f276(x81471,x81472,x81473),f214(f911(x81471,a897))),f214(f911(x81472,a897)))+E(f295(f295(f74(x81471,x81472,x81472),x81473),f94(x81471,x81472,f214(f911(x81471,a897)),x81473)),f36(x81472)) % 192.26/192.34 [8195]~P1(f295(f126(x81951),x81953))+E(f295(f125(x81951,f295(f295(f8(a897,a897,x81951),a291),f295(a292,x81952))),x81953),f158(x81951,x81952,x81953)) % 192.26/192.34 [8219]E(f295(f295(f127(x82191),f295(f177(f903(x82191)),f164(x82191,x82192,x82193))),x82193),f120(x82191))+P1(f295(f295(f297(x82191),f715(x82193,x82192,x82191)),f295(f160(x82191),x82193))) % 192.26/192.34 [8223]E(f295(f295(f122(x82231),f295(f295(f161(x82231),x82232),x82233)),f295(f295(f140(x82231),f295(f295(f153(x82231),x82233),x82232)),f120(x82231))),f295(f295(f161(x82231),f295(a119,x82232)),x82233))+~P1(f295(f295(f208(a902),x82232),f295(f177(f903(x82231)),x82233))) % 192.26/192.34 [8284]E(f295(f125(x82841,f295(f295(f8(a897,a897,x82841),a291),f295(a292,x82842))),x82843),x82843)+P1(f295(f295(f297(x82841),x82842),f295(f160(x82841),x82843))) % 192.26/192.34 [8291]P1(f295(f295(f207(f911(f911(x82911,a897),a897)),f223(x82911,x82912)),f223(x82911,x82913)))+~P1(f295(f295(f207(f911(x82911,a897)),x82912),x82913)) % 192.26/192.34 [8310]P1(f295(f295(f297(f911(x83101,a897)),f892(x83102,x83103,x83101)),x83103))+P1(f295(f295(f207(f911(x83101,a897)),f41(f911(x83101,a897),x83103)),x83102)) % 192.26/192.34 [8331]~P1(f295(f126(x83311),x83313))+P1(f295(f126(x83311),f295(f295(f295(f170(f903(x83311),f903(x83311)),x83312),f156(x83311)),x83313))) % 192.26/192.34 [8337]~P1(f295(f295(f208(a902),x83372),x83373))+P1(f295(f295(f208(a902),f295(f295(f84(a902),f295(a119,x83371)),x83372)),f295(f295(f84(a902),f295(a119,x83371)),x83373))) % 192.26/192.34 [8357]P1(f295(f295(f207(f911(f911(x83571,a897),a897)),f295(f274(x83571),x83572)),f295(f274(x83571),x83573)))+~P1(f295(f295(f207(f911(x83571,a897)),x83572),x83573)) % 192.26/192.34 [8519]~P1(f295(f295(f207(f911(x85191,a897)),x85193),x85192))+P1(f295(f295(f207(f911(x85191,a897)),f295(f82(f911(x85191,a897)),x85192)),f295(f82(f911(x85191,a897)),x85193))) % 192.26/192.34 [8521]E(f295(f276(x85211,x85212,x85213),f214(f911(x85211,a897))),f214(f911(x85212,a897)))+~E(f295(f295(f74(x85211,x85212,x85212),x85213),f94(x85211,x85212,f214(f911(x85211,a897)),x85213)),f36(x85212)) % 192.26/192.34 [8554]E(f295(f276(a902,a902,f295(f295(f7(a902,a902,a902),f23(a902)),x85541)),f295(f268(a902,x85542),x85543)),f295(f268(a902,f295(f295(f23(a902),x85542),x85541)),f295(f295(f23(a902),x85543),x85541)))+~P1(f295(f295(f208(a902),x85541),x85543)) % 192.26/192.34 [8580]~P88(x85801)+E(f295(f295(f83(x85801),x85802),f295(f131(x85801,x85801,f83(x85801),f2(x85801)),x85803)),f295(f131(x85801,x85801,f83(x85801),x85802),x85803)) % 192.26/192.34 [8637]~P1(f295(f295(f207(f911(x86371,a897)),f892(x86373,x86372,x86371)),x86373))+P1(f295(f295(f207(f911(x86371,a897)),f41(f911(x86371,a897),x86372)),x86373)) % 192.26/192.34 [8661]~P93(x86611)+P1(f295(f295(f207(x86611),f295(f77(x86611),f295(f295(f23(x86611),x86612),x86613))),f295(f295(f83(x86611),f295(f77(x86611),x86612)),f295(f77(x86611),x86613)))) % 192.26/192.34 [8662]~P93(x86621)+P1(f295(f295(f207(x86621),f295(f77(x86621),f295(f295(f83(x86621),x86622),x86623))),f295(f295(f83(x86621),f295(f77(x86621),x86622)),f295(f77(x86621),x86623)))) % 192.26/192.34 [8673]E(f295(f295(f83(a1),f295(f295(f84(a1),x86731),f46(a1,f295(f295(f40(a1),x86732),x86731),x86733))),f46(a1,x86732,x86731)),f46(a1,x86732,f295(f295(f84(a1),x86731),x86733)))+~P1(f295(f295(f208(a1),f2(a1)),x86733)) % 192.26/192.34 [8679]E(f295(f295(f122(x86791),f295(f295(f161(x86791),x86792),x86793)),f295(f295(f140(x86791),f295(f130(x86791),f295(f295(f127(x86791),x86792),x86793))),f120(x86791))),f295(f295(f161(x86791),f295(a119,x86792)),x86793))+~P1(f295(f295(f208(a902),x86792),f295(f177(f903(x86791)),x86793))) % 192.26/192.34 [8698]E(f295(f239(x86981,f295(f295(f143(x86981,f910(a106,x86981)),f295(f217(a106,x86981),f81(a106))),x86982)),f295(a3,x86983)),f295(f295(f153(x86981),x86982),x86983))+~P1(f295(f295(f208(a902),x86983),f295(f177(f903(x86981)),x86982))) % 192.26/192.34 [8774]P1(f295(f295(f297(f910(x87741,x87741)),x87742),f295(f295(f255(x87741,x87741,x87741),x87743),f273(x87741,x87743))))+~P1(f295(f295(f297(f910(x87741,x87741)),x87742),x87743)) % 192.26/192.34 [8800]P1(f295(f295(f207(a902),x88001),x88002))+~P1(f295(f295(f207(a902),f295(f295(f84(a902),f295(a119,x88003)),x88001)),f295(f295(f84(a902),f295(a119,x88003)),x88002))) % 192.26/192.34 [8815]P1(f295(f295(f207(f911(x88151,a897)),x88152),x88153))+~P1(f295(f295(f207(f911(x88151,a897)),f295(f82(f911(x88151,a897)),x88153)),f295(f82(f911(x88151,a897)),x88152))) % 192.26/192.34 [8832]P1(f295(f126(x88321),x88322))+~P1(f295(f126(x88321),f295(f295(f295(f170(f903(x88321),f903(x88321)),x88323),f156(x88321)),x88322))) % 192.26/192.34 [8915]E(f295(f252(x89151,x89151,f273(x89151,x89152)),x89153),x89153)+~P1(f295(f295(f207(f911(x89151,a897)),f295(f252(x89151,x89151,x89152),x89153)),x89153)) % 192.26/192.34 [8957]~P114(x89571)+P12(x89571,f295(f125(x89571,f295(f295(f7(x89571,x89571,a897),a292),f295(x89572,x89573))),x89573)) % 192.26/192.34 [8963]~P1(f295(f295(f207(a902),x89631),x89632))+P1(f295(f295(f207(a902),x89631),f295(f131(a902,a902,f83(a902),x89632),x89633))) % 192.26/192.34 [9056]~P1(f295(f295(f297(f910(x90561,x90561)),x90562),f273(x90561,x90563)))+P1(f295(f295(f297(f910(x90561,x90561)),x90562),f295(f295(f170(f910(x90561,x90561),a897),f766(x90563,x90562,x90561)),x90563))) % 192.26/192.34 [9145]~P88(x91451)+E(f295(f295(f83(x91451),x91452),f295(f131(x91451,x91451,f295(f7(x91451,x91451,x91451),f83(x91451)),f2(x91451)),f295(f157(x91451),x91453))),f295(f131(x91451,x91451,f83(x91451),x91452),x91453)) % 192.26/192.34 [9406]P60(x94061,x94062,x94063)+P1(f295(f295(f297(f910(x94061,x94062)),f295(f295(f217(x94061,x94062),f776(x94063,x94062,x94061)),f765(x94063,x94062,x94061))),x94063)) % 192.26/192.34 [9407]P60(x94071,x94072,x94073)+P1(f295(f295(f297(f910(x94071,x94072)),f295(f295(f217(x94071,x94072),f776(x94073,x94072,x94071)),f764(x94073,x94072,x94071))),x94073)) % 192.26/192.34 [9479]~P1(f295(f295(f297(f910(x94791,x94791)),x94792),f295(f295(f255(x94791,x94791,x94791),x94793),f273(x94791,x94793))))+P1(f295(f295(f297(f910(x94791,x94791)),x94792),f295(f295(f170(f910(x94791,x94791),a897),f772(x94793,x94792,x94791)),x94793))) % 192.26/192.34 [9480]~P1(f295(x94801,f295(f295(f153(x94802),x94803),f295(f177(f903(x94802)),f164(x94802,x94801,x94803)))))+~P1(f295(f295(f208(a902),f295(f177(f903(x94802)),f164(x94802,x94801,x94803))),f295(f177(f903(x94802)),x94803))) % 192.26/192.34 [9564]~P1(f295(f295(f207(f911(x95641,a897)),x95642),x95643))+P1(f295(f295(f207(f911(x95641,a897)),f295(f295(f7(x95641,f911(x95641,a897),a897),f297(x95641)),x95642)),f295(f295(f7(x95641,f911(x95641,a897),a897),f297(x95641)),x95643))) % 192.26/192.34 [9619]~P1(f295(f295(f297(f910(f911(x96191,a897),f911(x96191,a897))),f295(f295(f217(f911(x96191,a897),f911(x96191,a897)),x96192),x96193)),f283(x96191)))+P1(f295(f295(f208(f911(x96191,a897)),x96192),x96193)) % 192.26/192.34 [9643]P61(x96431,x96432,x96433)+~P1(f295(f295(f297(f910(x96431,x96431)),f295(f295(f217(x96431,x96431),f635(x96433,x96432,x96431)),f634(x96433,x96432,x96431))),x96433)) % 192.26/192.34 [9644]P61(x96441,x96442,x96443)+~P1(f295(f295(f297(f910(x96441,x96441)),f295(f295(f217(x96441,x96441),f634(x96443,x96442,x96441)),f635(x96443,x96442,x96441))),x96443)) % 192.26/192.34 [9675]~P1(f295(f295(f297(f910(f903(x96751),f903(x96751))),f295(f295(f217(f903(x96751),f903(x96751)),x96752),x96752)),f136(x96751,x96753)))+P1(f295(f295(f297(f910(x96751,x96751)),f295(f295(f217(x96751,x96751),f663(x96752,x96753,x96751)),f663(x96752,x96753,x96751))),x96753)) % 192.26/192.34 [9728]P1(f295(f295(f207(f911(x97281,a897)),x97282),x97283))+~P1(f295(f295(f207(f911(x97281,a897)),f295(f295(f7(x97281,f911(x97281,a897),a897),f297(x97281)),x97282)),f295(f295(f7(x97281,f911(x97281,a897),a897),f297(x97281)),x97283))) % 192.26/192.34 [9807]E(f295(f295(f23(a902),f295(f295(f6(a902,a902),x98071),f295(f249(a902),x98072))),f295(f295(f6(a902,a902),x98073),f295(f249(a902),x98072))),f295(f295(f6(a902,a902),f295(f295(f18(a902,a902,a902),f295(f295(f8(a902,f911(a902,a902),a902),f23(a902)),x98071)),x98073)),f295(f249(a902),x98072)))+~P1(f295(f295(f207(a902),f295(x98073,f486(x98072,x98071,x98073))),f295(x98071,f486(x98072,x98071,x98073)))) % 192.26/192.34 [5806]~P76(x58061)+E(f295(f295(f23(x58061),f295(f295(f83(x58061),x58062),x58063)),x58063),x58062) % 192.26/192.34 [5807]~P76(x58071)+E(f295(f295(f83(x58071),f295(f295(f23(x58071),x58072),x58073)),x58073),x58072) % 192.26/192.34 [6027]~P76(x60271)+E(f295(f295(f83(x60271),x60272),f295(f295(f83(x60271),f295(f82(x60271),x60272)),x60273)),x60273) % 192.26/192.34 [6110]~P90(x61101)+E(f295(f295(f84(x61101),f295(f295(f218(x61101),x61102),x61103)),x61102),f295(f295(f218(x61101),x61102),f295(a119,x61103))) % 192.26/192.34 [6111]~P123(x61111)+E(f295(f295(f84(x61111),f295(f295(f218(x61111),x61112),x61113)),x61112),f295(f295(f218(x61111),x61112),f295(a119,x61113))) % 192.26/192.34 [6322]~P119(x63221)+E(f295(f77(x63221),f295(f295(f218(x63221),f295(f82(x63221),x63222)),x63223)),f295(f77(x63221),f295(f295(f218(x63221),x63222),x63223))) % 192.26/192.34 [6374]~P90(x63741)+E(f295(f295(f84(x63741),f295(f295(f218(x63741),x63742),x63743)),x63742),f295(f295(f84(x63741),x63742),f295(f295(f218(x63741),x63742),x63743))) % 192.26/192.34 [6424]E(f295(f295(f23(a106),f295(f295(f83(a106),x64241),x64242)),x64243),f245(x64241,x64242,x64243))+~P1(f295(f295(f208(a106),x64242),x64243)) % 192.26/192.34 [6448]~E(f295(f295(f127(x64481),x64483),x64482),f120(x64481))+P1(f295(f295(f207(a902),f295(f177(f903(x64481)),x64482)),x64483)) % 192.26/192.34 [6585]E(f295(f295(f84(a902),f295(f110(a902),x65851)),f295(f295(f84(a902),f295(f110(a902),x65852)),x65853)),f2(a902))+~P1(f295(f295(f208(a1),x65851),a86)) % 192.26/192.34 [6602]~P72(x66021)+E(f295(f295(f218(x66021),f295(f295(f256(x66021),f81(x66021)),x66022)),x66023),f295(f295(f256(x66021),f81(x66021)),f295(f295(f218(x66021),x66022),x66023))) % 192.26/192.34 [6678]E(f295(f295(f23(a902),f295(f295(f83(a902),x66781),x66782)),x66783),f295(f295(f23(a902),x66781),f295(f295(f23(a902),x66783),x66782)))+~P1(f295(f295(f207(a902),x66782),x66783)) % 192.26/192.34 [6680]E(f295(f295(f23(a902),f295(f295(f83(a902),x66801),x66802)),x66803),f295(f295(f83(a902),x66801),f295(f295(f23(a902),x66802),x66803)))+~P1(f295(f295(f207(a902),x66803),x66802)) % 192.26/192.34 [6715]~P99(x67151)+P1(f295(f295(f207(x67151),f295(f295(f108(x67151),x67152),x67153)),x67153)) % 192.26/192.34 [6716]~P110(x67161)+P1(f295(f295(f207(x67161),f295(f295(f108(x67161),x67162),x67163)),x67163)) % 192.26/192.34 [6717]~P99(x67171)+P1(f295(f295(f207(x67171),f295(f295(f108(x67171),x67172),x67173)),x67172)) % 192.26/192.34 [6718]~P110(x67181)+P1(f295(f295(f207(x67181),f295(f295(f108(x67181),x67182),x67183)),x67182)) % 192.26/192.34 [6719]~P114(x67191)+P1(f295(f295(f207(x67191),f295(f295(f205(x67191),x67192),x67193)),x67193)) % 192.26/192.34 [6720]~P114(x67201)+P1(f295(f295(f207(x67201),f295(f295(f205(x67201),x67202),x67203)),x67202)) % 192.26/192.34 [6734]E(f295(f295(f40(a1),f295(f295(f40(a1),x67341),x67342)),x67343),f295(f295(f40(a1),x67341),f295(f295(f84(a1),x67342),x67343)))+~P1(f295(f295(f208(a1),f2(a1)),x67343)) % 192.26/192.34 [6786]~P123(x67861)+E(f295(f295(f83(x67861),f295(f295(f84(x67861),x67862),x67863)),x67863),f295(f295(f84(x67861),f295(f295(f83(x67861),x67862),f81(x67861))),x67863)) % 192.26/192.34 [6787]~P104(x67871)+E(f295(f295(f84(x67871),f295(f82(x67871),f295(f110(x67871),x67872))),x67873),f295(f295(f84(x67871),f295(f110(x67871),f295(f82(a1),x67872))),x67873)) % 192.26/192.34 [6856]~P88(x68561)+E(f295(f154(x68561),f295(f295(f143(x68562,x68561),f295(f16(x68561,x68562),f2(x68561))),x68563)),f2(x68561)) % 192.26/192.34 [6871]E(f295(f295(f83(a902),f295(f110(a902),x68711)),f295(f295(f83(a902),f295(f110(a902),x68712)),x68713)),f295(f295(f83(a902),f295(f110(a902),x68712)),x68713))+~P1(f295(a179,f295(f110(a1),x68711))) % 192.26/192.34 [6885]~P6(x68851)+E(f42(x68851,f295(f295(f275(x68851),x68852),f295(f295(f275(x68851),x68853),f176(f911(x68851,a897))))),f295(f295(f108(x68851),x68852),x68853)) % 192.26/192.34 [6886]~P6(x68861)+E(f41(x68861,f295(f295(f275(x68861),x68862),f295(f295(f275(x68861),x68863),f176(f911(x68861,a897))))),f295(f295(f117(x68861),x68862),x68863)) % 192.26/192.34 [6907]E(f295(f295(f161(x69071),x69072),x69073),x69073)+~P1(f295(f295(f207(a902),f295(f177(f903(x69071)),x69073)),x69072)) % 192.26/192.34 [6919]E(f295(f295(f127(x69191),x69192),x69193),f120(x69191))+~P1(f295(f295(f207(a902),f295(f177(f903(x69191)),x69193)),x69192)) % 192.26/192.34 [6930]E(f295(f295(f83(a902),f295(f295(f23(a902),x69301),x69302)),x69303),f295(f295(f23(a902),f295(f295(f83(a902),x69301),x69303)),x69302))+~P1(f295(f295(f207(a902),x69302),x69301)) % 192.26/192.34 [6944]~P1(f295(f295(f208(a902),x69441),x69443))+P1(f295(f295(f208(a902),f295(f295(f23(a902),x69441),x69442)),x69443)) % 192.26/192.34 [6971]~P114(x69711)+E(f158(x69711,x69712,f295(f295(f137(x69711,x69711,f5(x69711)),x69712),x69713)),x69713) % 192.26/192.34 [7058]E(f295(f295(f23(a902),f295(f295(f83(a902),x70581),x70582)),f295(a119,x70583)),f295(f295(f23(a902),x70581),f295(a119,f295(f295(f23(a902),x70583),x70582))))+~P1(f295(f295(f207(a902),x70582),x70583)) % 192.26/192.34 [7059]~P119(x70591)+P1(f295(f295(f207(x70591),f2(x70591)),f295(f295(f218(x70591),f295(f77(x70591),x70592)),x70593))) % 192.26/192.34 [7106]P23(x71061,x71062,x71063)+~P1(f295(f295(f207(f911(f901(x71061),a897)),x71063),x71062)) % 192.26/192.34 [7149]~P1(f295(f62(x71491),x71493))+P1(f295(f62(x71491),f295(f295(f108(f911(x71491,a897)),x71492),x71493))) % 192.26/192.34 [7150]~P1(f295(f62(x71501),x71502))+P1(f295(f62(x71501),f295(f295(f108(f911(x71501,a897)),x71502),x71503))) % 192.26/192.34 [7151]~P1(f295(f62(x71511),x71512))+P1(f295(f62(x71511),f295(f295(f23(f911(x71511,a897)),x71512),x71513))) % 192.26/192.34 [7293]~P36(x72931,x72933)+P36(x72931,f295(f295(f108(f911(f910(x72931,x72931),a897)),x72932),x72933)) % 192.26/192.34 [7294]~P36(x72941,x72942)+P36(x72941,f295(f295(f108(f911(f910(x72941,x72941),a897)),x72942),x72943)) % 192.26/192.34 [7418]~P99(x74181)+E(f10(x74181,f295(f160(x74181),f295(f295(f140(x74181),x74182),x74183))),f295(f131(x74181,x74181,f117(x74181),x74182),x74183)) % 192.26/192.34 [7419]~P99(x74191)+E(f11(x74191,f295(f160(x74191),f295(f295(f140(x74191),x74192),x74193))),f295(f131(x74191,x74191,f108(x74191),x74192),x74193)) % 192.26/192.34 [7420]~P114(x74201)+E(f14(x74201,f295(f160(x74201),f295(f295(f140(x74201),x74202),x74203))),f295(f131(x74201,x74201,f205(x74201),x74202),x74203)) % 192.26/192.34 [7421]~P114(x74211)+E(f15(x74211,f295(f160(x74211),f295(f295(f140(x74211),x74212),x74213))),f295(f131(x74211,x74211,f206(x74211),x74212),x74213)) % 192.26/192.34 [7480]~P1(f295(f62(x74801),x74802))+P1(f295(f295(f207(a902),f295(f39(x74801),x74802)),f295(f39(x74801),f295(f295(f275(x74801),x74803),x74802)))) % 192.26/192.34 [7487]E(f295(f295(f117(f911(a902,a897)),f295(f268(a902,x74871),x74872)),f295(f268(a902,x74872),f295(f295(f83(a902),x74872),x74873))),f295(f268(a902,x74871),f295(f295(f83(a902),x74872),x74873)))+~P1(f295(f295(f207(a902),x74871),x74872)) % 192.26/192.34 [7497]P1(f295(f295(f207(a902),x74971),x74972))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),x74973),x74971)),x74972)) % 192.26/192.34 [7498]P1(f295(f295(f207(a902),x74981),x74982))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),x74981),x74983)),x74982)) % 192.26/192.34 [7499]P1(f295(f295(f208(a902),x74991),x74992))+~P1(f295(f295(f208(a902),f295(f295(f83(a902),x74991),x74993)),x74992)) % 192.26/192.34 [7540]~P114(x75401)+E(f12(x75401,f205(x75401),f295(f160(x75401),f295(f295(f140(x75401),x75402),x75403))),f295(f131(x75401,x75401,f205(x75401),x75402),x75403)) % 192.26/192.34 [7541]~P114(x75411)+E(f13(x75411,f206(x75411),f295(f160(x75411),f295(f295(f140(x75411),x75412),x75413))),f295(f131(x75411,x75411,f206(x75411),x75412),x75413)) % 192.26/192.34 [7545]~E(x75452,f176(f911(f910(x75451,x75451),a897)))+P1(f295(f295(f207(f911(f910(x75451,x75451),a897)),x75452),x75453)) % 192.26/192.34 [7646]E(f295(f295(f117(f911(x76461,a897)),x76462),f295(f295(f23(f911(x76461,a897)),x76463),x76462)),x76463)+~P1(f295(f295(f207(f911(x76461,a897)),x76462),x76463)) % 192.26/192.34 [7647]~P1(f295(f295(f207(a902),x76471),f295(f295(f83(a902),x76473),x76472)))+P1(f295(f295(f207(a902),f295(f295(f23(a902),x76471),x76472)),x76473)) % 192.26/192.34 [7648]~P1(f295(f295(f208(a902),x76481),f295(f295(f23(a902),x76483),x76482)))+P1(f295(f295(f208(a902),f295(f295(f83(a902),x76481),x76482)),x76483)) % 192.26/192.34 [7702]E(x77021,f120(x77022))+E(f295(f130(x77022),f295(f295(f295(f170(f903(x77022),f903(x77022)),x77023),f156(x77022)),x77021)),f295(f295(f153(x77022),x77021),f46(a902,x77023,f295(f177(f903(x77022)),x77021)))) % 192.26/192.34 [7711]E(f295(f295(f275(x77111),x77112),f295(f295(f23(f911(x77111,a897)),x77113),f295(f295(f275(x77111),x77112),f176(f911(x77111,a897))))),x77113)+~P1(f295(f295(f297(x77111),x77112),x77113)) % 192.26/192.34 [7872]P1(f295(f295(f207(a902),x78721),f295(f295(f83(a902),x78722),x78723)))+~P1(f295(f295(f207(a902),f295(f295(f23(a902),x78721),x78723)),x78722)) % 192.26/192.34 [7873]P1(f295(f295(f208(a902),x78731),f295(f295(f23(a902),x78732),x78733)))+~P1(f295(f295(f208(a902),f295(f295(f83(a902),x78731),x78733)),x78732)) % 192.26/192.34 [7897]P1(f295(f62(x78971),x78972))+~P1(f295(f62(x78971),f295(f295(f117(f911(x78971,a897)),x78973),x78972))) % 192.26/192.34 [7898]P1(f295(f62(x78981),x78982))+~P1(f295(f62(x78981),f295(f295(f117(f911(x78981,a897)),x78982),x78983))) % 192.26/192.34 [7974]~P50(x79741,x79743)+P1(f295(f295(f297(f910(x79741,x79741)),f295(f295(f217(x79741,x79741),x79742),x79742)),x79743)) % 192.26/192.34 [8107]E(f295(f295(f153(a902),f128(a902,f295(f268(a902,x81071),x81072))),x81073),f295(f295(f83(a902),x81071),x81073))+~P1(f295(f295(f208(a902),f295(f295(f83(a902),x81071),x81073)),x81072)) % 192.26/192.34 [8184]E(f295(f295(f161(a902),x81841),f128(a902,f295(f268(a902,x81842),x81843))),f128(a902,f295(f268(a902,x81842),f295(f295(f83(a902),x81842),x81841))))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),x81842),x81841)),x81843)) % 192.26/192.34 [8241]~P104(x82411)+E(f295(f295(f218(x82411),x82412),f295(f110(a902),f295(f295(f83(a1),x82413),x82413))),f295(f295(f89(x82411,x82411),f295(f295(f218(x82411),x82412),f295(f110(a902),x82413))),f295(f295(f18(x82411,x82411,x82411),f84(x82411)),f5(x82411)))) % 192.26/192.34 [8500]E(f295(f295(f122(x85001),f295(f295(f161(x85001),x85002),x85003)),f295(f295(f140(x85001),f295(f295(f153(x85001),x85003),x85002)),f295(f295(f127(x85001),f295(a119,x85002)),x85003))),x85003)+~P1(f295(f295(f208(a902),x85002),f295(f177(f903(x85001)),x85003))) % 192.26/192.34 [8506]P1(f295(f295(f207(f911(x85061,a897)),f284(x85061,x85062)),f284(x85061,x85063)))+~P1(f295(f295(f207(f911(x85061,f911(x85061,a897))),x85063),x85062)) % 192.26/192.34 [8507]~P61(x85071,x85072,x85073)+P61(x85071,x85072,f295(f295(f23(f911(f910(x85071,x85071),a897)),x85073),f273(x85071,f176(f911(f910(x85071,x85071),a897))))) % 192.26/192.34 [8528]P1(f295(f295(f207(f911(x85281,a897)),f285(x85281,x85282)),f285(x85281,x85283)))+~P1(f295(f295(f207(f911(f910(x85281,x85281),a897)),x85283),x85282)) % 192.26/192.34 [8535]~P132(x85351)+P1(f295(f295(f207(x85351),f2(x85351)),f295(f295(f83(x85351),f295(f295(f84(x85351),x85352),x85352)),f295(f295(f84(x85351),x85353),x85353)))) % 192.26/192.34 [8569]P1(f295(f295(f207(f911(x85691,a897)),f295(f248(x85691),x85692)),f295(f248(x85691),x85693)))+~P1(f295(f295(f207(f911(f910(x85691,x85691),a897)),x85692),x85693)) % 192.26/192.34 [8601]~P59(x86011,x86012)+~P1(f295(f295(f297(f910(x86011,x86011)),f295(f295(f217(x86011,x86011),x86013),x86013)),x86012)) % 192.26/192.34 [8603]~P36(x86031,x86032)+~P1(f295(f295(f297(f910(x86031,x86031)),f295(f295(f217(x86031,x86031),x86033),x86033)),x86032)) % 192.26/192.34 [8664]P1(f295(f295(f207(f911(x86641,a897)),f42(f911(x86641,a897),x86642)),f42(f911(x86641,a897),x86643)))+~P1(f295(f295(f207(f911(f911(x86641,a897),a897)),x86643),x86642)) % 192.26/192.34 [8665]P1(f295(f295(f207(f911(x86651,a897)),f41(f911(x86651,a897),x86652)),f41(f911(x86651,a897),x86653)))+~P1(f295(f295(f207(f911(f911(x86651,a897),a897)),x86652),x86653)) % 192.26/192.34 [8719]~P9(x87191,x87193,x87192)+P1(f295(f295(f207(f911(f910(x87191,x87191),a897)),x87192),f295(f295(f226(x87191,x87191),x87193),f295(f16(f911(x87191,a897),x87191),x87193)))) % 192.26/192.34 [8720]~P58(x87201,x87203,x87202)+P1(f295(f295(f207(f911(f910(x87201,x87201),a897)),x87202),f295(f295(f226(x87201,x87201),x87203),f295(f16(f911(x87201,a897),x87201),x87203)))) % 192.26/192.34 [8776]~P24(x87762,x87761,x87763,f214(f911(x87762,a897)))+E(f295(f295(f74(x87761,x87762,x87762),f94(x87762,x87761,f214(f911(x87762,a897)),x87763)),x87763),f36(x87762)) % 192.26/192.34 [8777]~P93(x87771)+P1(f295(f295(f207(x87771),f295(f295(f23(x87771),f295(f77(x87771),x87772)),f295(f77(x87771),x87773))),f295(f77(x87771),f295(f295(f23(x87771),x87773),x87772)))) % 192.26/192.34 [8778]~P93(x87781)+P1(f295(f295(f207(x87781),f295(f295(f23(x87781),f295(f77(x87781),x87782)),f295(f77(x87781),x87783))),f295(f77(x87781),f295(f295(f23(x87781),x87782),x87783)))) % 192.26/192.34 [8813]P1(f295(f295(f207(f911(f910(x88131,x88131),a897)),f273(x88131,x88132)),f273(x88131,x88133)))+~P1(f295(f295(f207(f911(f910(x88131,x88131),a897)),x88132),x88133)) % 192.26/192.34 [8984]P61(x89841,x89842,x89843)+~P61(x89841,x89842,f295(f295(f23(f911(f910(x89841,x89841),a897)),x89843),f273(x89841,f176(f911(f910(x89841,x89841),a897))))) % 192.26/192.34 [9004]P1(f295(f295(f207(f911(f910(f903(x90041),f903(x90041)),a897)),f146(x90041,x90042)),f146(x90041,x90043)))+~P1(f295(f295(f207(f911(f910(x90041,x90041),a897)),x90042),x90043)) % 192.26/192.34 [9005]P1(f295(f295(f207(f911(f910(f903(x90051),f903(x90051)),a897)),f147(x90051,x90052)),f147(x90051,x90053)))+~P1(f295(f295(f207(f911(f910(x90051,x90051),a897)),x90052),x90053)) % 192.26/192.34 [9029]~P58(x90291,x90293,x90292)+P1(f295(f295(f207(f911(f910(x90291,x90291),a897)),x90292),f295(f295(f255(x90291,x90291,x90291),f295(f253(x90291,x90291),x90292)),x90292))) % 192.26/192.34 [9086]~P1(f295(f126(x90861),x90862))+E(f295(f125(x90861,f295(f295(f7(x90861,f911(x90861,a897),a897),f297(x90861)),f295(f160(x90861),f162(x90861,x90862,x90863)))),x90862),f162(x90861,x90862,x90863)) % 192.26/192.34 [9099]P24(x90991,x90992,x90993,f214(f911(x90991,a897)))+~E(f295(f295(f74(x90992,x90991,x90991),f94(x90991,x90992,f214(f911(x90991,a897)),x90993)),x90993),f36(x90991)) % 192.26/192.34 [9143]E(x91431,x91432)+~P1(f295(f295(f297(f910(x91433,x91433)),f295(f295(f217(x91433,x91433),x91431),x91432)),f273(x91433,f176(f911(f910(x91433,x91433),a897))))) % 192.26/192.34 [9230]P1(f295(f295(f297(x92301),x92302),f285(x92301,x92303)))+P1(f295(f295(f297(f910(x92301,x92301)),f295(f295(f217(x92301,x92301),f636(x92303,x92302,x92301)),x92302)),x92303)) % 192.26/192.34 [9231]P1(f295(f295(f297(x92311),x92312),f285(x92311,x92313)))+P1(f295(f295(f297(f910(x92311,x92311)),f295(f295(f217(x92311,x92311),f782(x92313,x92312,x92311)),x92312)),x92313)) % 192.26/192.34 [9232]P1(f295(f295(f297(x92321),x92322),f285(x92321,x92323)))+P1(f295(f295(f297(f910(x92321,x92321)),f295(f295(f217(x92321,x92321),f797(x92323,x92322,x92321)),x92322)),x92323)) % 192.26/192.34 [9315]~P1(f295(f295(f297(f903(x93151)),x93153),f150(x93151,x93152)))+P1(f295(f149(x93151,f295(f295(f7(x93151,f911(x93151,a897),a897),f297(x93151)),x93152)),x93153)) % 192.26/192.34 [9339]P1(f295(x93393,x93392))+E(f295(f212(x93391),f295(f295(f18(x93391,a897,a897),f295(f295(f8(a897,f911(a897,a897),x93391),a293),f295(a292,x93392))),x93393)),f176(f911(x93391,a897))) % 192.26/192.34 [9356]~P93(x93561)+P1(f295(f295(f207(x93561),f295(f77(x93561),f295(f295(f23(x93561),f295(f77(x93561),x93562)),f295(f77(x93561),x93563)))),f295(f77(x93561),f295(f295(f23(x93561),x93562),x93563)))) % 192.26/192.34 [9369]~P1(f295(x93693,x93692))+E(f295(f212(x93691),f295(f295(f18(x93691,a897,a897),f295(f295(f8(a897,f911(a897,a897),x93691),a293),f295(a292,x93692))),x93693)),f295(f295(f275(x93691),x93692),f176(f911(x93691,a897)))) % 192.26/192.34 [9376]~P1(f295(f295(f297(f911(x93761,a897)),x93763),f295(f274(x93761),x93762)))+P1(f295(f223(x93761,f295(f295(f7(x93761,f911(x93761,a897),a897),f297(x93761)),x93762)),x93763)) % 192.26/192.34 [9405]P36(x94051,x94052)+P1(f295(f295(f297(f910(x94051,x94051)),f295(f295(f217(x94051,x94051),f295(f644(x94052,x94051),f295(a119,x94053))),f295(f644(x94052,x94051),x94053))),x94052)) % 192.26/192.34 [9545]P1(f295(f295(f297(f903(x95451)),x95452),f150(x95451,x95453)))+~P1(f295(f149(x95451,f295(f295(f7(x95451,f911(x95451,a897),a897),f297(x95451)),x95453)),x95452)) % 192.26/192.34 [9556]P1(f295(f295(f297(f911(x95561,a897)),x95562),f295(f274(x95561),x95563)))+~P1(f295(f223(x95561,f295(f295(f7(x95561,f911(x95561,a897),a897),f297(x95561)),x95563)),x95562)) % 192.26/192.34 [9615]P1(f295(f295(f297(x96151),f295(f239(x96151,x96152),x96153)),f295(f160(x96151),f295(f295(f143(f910(a106,x96151),x96151),f227(a106,x96151)),x96152))))+~P1(f295(f295(f208(a106),x96153),f295(f154(a106),f295(f295(f143(f910(a106,x96151),a106),f216(a106,x96151)),x96152)))) % 192.26/192.34 [9658]P1(f295(f295(f207(f911(f910(f903(x96581),f903(x96581)),a897)),f147(x96581,x96582)),f295(f295(f226(f903(x96581),f903(x96581)),f150(x96581,x96583)),f295(f16(f911(f903(x96581),a897),f903(x96581)),f150(x96581,x96583)))))+~P1(f295(f295(f207(f911(f910(x96581,x96581),a897)),x96582),f295(f295(f226(x96581,x96581),x96583),f295(f16(f911(x96581,a897),x96581),x96583)))) % 192.26/192.34 [9678]P1(f295(f295(f297(x96781),f295(f216(x96781,f910(a106,a106)),f295(f233(x96781,x96782),x96783))),f295(f160(x96781),f295(f295(f143(f910(a106,x96781),x96781),f227(a106,x96781)),x96782))))+~P1(f295(f295(f208(a106),f2(a106)),f295(f154(a106),f295(f295(f143(f910(a106,x96781),a106),f216(a106,x96781)),x96782)))) % 192.26/192.34 [9697]~P1(f295(f295(f207(f911(f910(x96971,x96971),a897)),x96972),f295(f295(f226(x96971,x96971),x96973),f295(f16(f911(x96971,a897),x96971),x96973))))+P1(f295(f295(f207(f911(f910(x96971,x96971),a897)),f295(f295(f255(x96971,x96971,x96971),x96972),f273(x96971,x96972))),f295(f295(f226(x96971,x96971),x96973),f295(f16(f911(x96971,a897),x96971),x96973)))) % 192.26/192.34 [9997]~P36(x99971,x99972)+~P1(f295(f295(f297(f910(x99971,x99971)),f295(f295(f217(x99971,x99971),f295(x99973,f295(a119,f645(x99972,x99971,x99973)))),f295(x99973,f645(x99972,x99971,x99973)))),x99972)) % 192.26/192.34 [9998]~P36(x99981,x99982)+~P1(f295(f295(f297(f910(x99981,x99981)),f295(f295(f217(x99981,x99981),f295(x99983,f295(a119,f803(x99983,x99982,x99981)))),f295(x99983,f803(x99983,x99982,x99981)))),x99982)) % 192.26/192.34 [10295]P1(f295(f295(f207(f911(f910(f911(x102951,a897),f911(x102951,a897)),a897)),f295(f295(f255(f911(x102951,a897),f911(x102951,a897),f911(x102951,a897)),f289(x102951,x102952)),f295(f295(f117(f911(f910(f911(x102951,a897),f911(x102951,a897)),a897)),f289(x102951,x102953)),f295(f295(f275(f910(f911(x102951,a897),f911(x102951,a897))),f295(f295(f217(f911(x102951,a897),f911(x102951,a897)),f176(f911(x102951,a897))),f176(f911(x102951,a897)))),f176(f911(f910(f911(x102951,a897),f911(x102951,a897)),a897)))))),f289(x102951,x102952)))+~P1(f295(f295(f207(f911(f910(x102951,x102951),a897)),f295(f295(f255(x102951,x102951,x102951),x102952),x102953)),x102952)) % 192.26/192.34 [10296]P1(f295(f295(f207(f911(f910(f911(x102961,a897),f911(x102961,a897)),a897)),f295(f295(f255(f911(x102961,a897),f911(x102961,a897),f911(x102961,a897)),f287(x102961,x102962)),f295(f295(f117(f911(f910(f911(x102961,a897),f911(x102961,a897)),a897)),f287(x102961,x102963)),f295(f295(f275(f910(f911(x102961,a897),f911(x102961,a897))),f295(f295(f217(f911(x102961,a897),f911(x102961,a897)),f176(f911(x102961,a897))),f176(f911(x102961,a897)))),f176(f911(f910(f911(x102961,a897),f911(x102961,a897)),a897)))))),f287(x102961,x102962)))+~P1(f295(f295(f207(f911(f910(x102961,x102961),a897)),f295(f295(f255(x102961,x102961,x102961),x102962),x102963)),x102962)) % 192.26/192.34 [7417]~P1(f295(f295(f207(a902),x74172),x74171))+E(f295(f295(f23(a902),f295(a119,f295(f295(f23(a902),x74171),x74172))),x74173),f295(f295(f23(a902),f295(a119,x74171)),f295(f295(f83(a902),x74172),x74173))) % 192.26/192.34 [7455]~P69(x74551)+E(f295(f295(f83(x74551),f46(x74551,x74552,x74553)),f295(f295(f84(x74551),f295(f295(f40(x74551),x74552),x74553)),x74553)),x74552) % 192.26/192.34 [7652]E(f295(f295(f84(a902),f295(f110(a902),x76521)),f295(f295(f84(a902),f295(f110(a902),x76522)),x76523)),f295(f295(f84(a902),f295(f110(a902),f295(f295(f84(a1),x76521),x76522))),x76523))+P1(f295(f295(f208(a1),x76521),a86)) % 192.26/192.34 [8116]~P1(f295(f295(f207(a902),x81163),x81162))+P1(f295(f295(f207(a902),x81161),f295(f295(f23(a902),f295(f295(f83(a902),x81162),x81161)),x81163))) % 192.26/192.34 [8322]~P1(f295(f295(f207(a902),x83221),x83222))+E(f295(f295(f122(a902),f128(a902,f295(f268(a902,x83221),x83222))),f128(a902,f295(f268(a902,x83222),f295(f295(f83(a902),x83222),x83223)))),f128(a902,f295(f268(a902,x83221),f295(f295(f83(a902),x83222),x83223)))) % 192.26/192.34 [8577]~P1(f295(f62(x85771),x85772))+E(f295(a119,f295(f39(x85771),f295(f295(f23(f911(x85771,a897)),x85772),f295(f295(f275(x85771),x85773),f176(f911(x85771,a897)))))),f295(f39(x85771),f295(f295(f275(x85771),x85773),x85772))) % 192.26/192.34 [8620]~P1(f295(f62(x86201),x86202))+E(f295(f295(f83(a902),f81(a902)),f295(f39(x86201),f295(f295(f23(f911(x86201,a897)),x86202),f295(f295(f275(x86201),x86203),f176(f911(x86201,a897)))))),f295(f39(x86201),f295(f295(f275(x86201),x86203),x86202))) % 192.26/192.34 [8821]E(f295(f295(f23(a902),f295(f39(x88211),x88212)),f295(f39(x88211),f295(f295(f108(f911(x88211,a897)),x88212),x88213))),f295(f39(x88211),f295(f295(f23(f911(x88211,a897)),x88212),x88213)))+~P1(f295(f62(x88211),f295(f295(f108(f911(x88211,a897)),x88212),x88213))) % 192.26/192.34 [9081]~P7(f295(x90812,f483(x90812,x90813,x90811)))+E(f295(f107(a1),f295(f295(f6(x90811,a902),f295(f295(f8(a1,a902,x90811),a111),x90812)),x90813)),f295(f295(f6(x90811,a1),x90812),x90813)) % 192.26/192.34 [9082]~P7(f295(x90822,f484(x90822,x90823,x90821)))+E(f295(f107(a1),f295(f295(f9(x90821,a902),f295(f295(f8(a1,a902,x90821),a111),x90822)),x90823)),f295(f295(f9(x90821,a1),x90822),x90823)) % 192.26/192.34 [9124]~P1(f295(f62(x91241),x91243))+P1(f295(f295(f207(a902),f295(f295(f23(a902),f295(f39(x91241),x91242)),f295(f39(x91241),x91243))),f295(f39(x91241),f295(f295(f23(f911(x91241,a897)),x91242),x91243)))) % 192.26/192.34 [9153]P1(f295(f295(f297(x91531),f483(x91532,x91533,x91531)),x91533))+E(f295(f107(a1),f295(f295(f6(x91531,a902),f295(f295(f8(a1,a902,x91531),a111),x91532)),x91533)),f295(f295(f6(x91531,a1),x91532),x91533)) % 192.26/192.34 [9154]P1(f295(f295(f297(x91541),f484(x91542,x91543,x91541)),x91543))+E(f295(f107(a1),f295(f295(f9(x91541,a902),f295(f295(f8(a1,a902,x91541),a111),x91542)),x91543)),f295(f295(f9(x91541,a1),x91542),x91543)) % 192.26/192.34 [9221]E(f88(x92211,f295(f295(f7(x92211,f911(x92211,a897),a897),f297(x92211)),f295(f295(f23(f911(x92211,a897)),x92212),f295(f295(f275(x92211),x92213),f176(f911(x92211,a897)))))),f221(x92211,x92213,x92212))+P1(f295(f295(f207(f911(x92211,a897)),x92212),f295(f295(f275(x92211),x92213),f176(f911(x92211,a897))))) % 192.26/192.34 [9557]E(f295(f295(f143(f903(x95571),x95571),f295(f295(f7(f903(x95571),a902,x95571),f153(x95571)),x95572)),f295(f125(f903(x95571),f295(f295(f8(a902,a897,f903(x95571)),f295(f208(a902),x95572)),f177(f903(x95571)))),x95573)),f295(f295(f153(f903(x95571)),f166(x95571,x95573)),x95572))+~P1(f295(f295(f208(a902),x95572),f295(f177(f903(f903(x95571))),f166(x95571,x95573)))) % 192.26/192.34 [9634]E(f295(f125(x96341,x96342),x96343),f164(x96341,x96342,x96343))+P1(f295(f295(f297(x96341),f718(x96343,x96342,x96341)),f295(f160(x96341),f295(f295(f127(x96341),f295(f177(f903(x96341)),f164(x96341,x96342,x96343))),x96343)))) % 192.26/192.34 [9768]E(f295(f295(f127(x97681),f295(f177(f903(x97681)),f164(x97681,x97682,x97683))),x97683),f120(x97681))+~P1(f295(x97682,f295(f130(x97681),f295(f295(f127(x97681),f295(f177(f903(x97681)),f164(x97681,x97682,x97683))),x97683)))) % 192.26/192.34 [9868]~P1(f295(f295(f297(f910(x98681,x98681)),x98682),f273(x98681,x98683)))+P1(f295(f295(f297(f910(x98681,x98681)),x98682),f295(f295(f44(a902,f911(f910(x98681,x98681),a897)),f214(f911(a902,a897))),f295(f295(f7(a902,f911(f910(x98681,x98681),a897),f911(f910(x98681,x98681),a897)),f170(f910(x98681,x98681),a897)),x98683)))) % 192.26/192.34 [9926]~P1(f295(f295(f207(f911(x99261,a897)),f295(f295(f44(a902,f911(x99261,a897)),f295(f268(a902,f2(a902)),f472(x99263,x99262,x99261))),x99262)),x99263))+P1(f295(f295(f207(f911(x99261,a897)),f295(f295(f44(a902,f911(x99261,a897)),f214(f911(a902,a897))),x99262)),x99263)) % 192.26/192.34 [9972]~P1(f295(f295(f208(a1),f2(a1)),x99723))+P1(f295(f295(f208(a1),x99721),f295(f295(f83(a1),x99722),f295(f295(f84(a1),f295(f295(f83(a1),f295(f77(a1),f295(f295(f23(a1),x99722),x99721))),f81(a1))),x99723)))) % 192.26/192.34 [9986]~P36(x99861,f295(f295(f117(f911(f910(x99861,x99861),a897)),x99862),x99863))+P36(x99861,f295(f295(f117(f911(f910(x99861,x99861),a897)),f295(f295(f117(f911(f910(x99861,x99861),a897)),f295(f295(f255(x99861,x99861,x99861),x99862),x99862)),f295(f295(f255(x99861,x99861,x99861),x99863),x99862))),x99863)) % 192.26/192.34 [10064]P36(x100641,f295(f295(f117(f911(f910(x100641,x100641),a897)),x100642),x100643))+~P36(x100641,f295(f295(f117(f911(f910(x100641,x100641),a897)),f295(f295(f117(f911(f910(x100641,x100641),a897)),f295(f295(f255(x100641,x100641,x100641),x100642),x100642)),f295(f295(f255(x100641,x100641,x100641),x100643),x100642))),x100643)) % 192.26/192.34 [9637]~P145(x96371)+E(f295(f109(x96371),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x96372),x96373)),f176(f911(f910(a902,a902),a897)))))),f295(f295(f23(x96371),f295(f107(x96371),x96372)),f295(f107(x96371),x96373))) % 192.26/192.34 [9717]P1(f295(x97173,x97172))+E(f295(f212(x97171),f295(f295(f18(x97171,a897,a897),f295(f295(f8(a897,f911(a897,a897),x97171),a293),f295(f295(f7(x97171,x97171,a897),a292),x97172))),x97173)),f176(f911(x97171,a897))) % 192.26/192.34 [9719]~P1(f295(x97193,x97192))+E(f295(f212(x97191),f295(f295(f18(x97191,a897,a897),f295(f295(f8(a897,f911(a897,a897),x97191),a293),f295(f295(f7(x97191,x97191,a897),a292),x97192))),x97193)),f295(f295(f275(x97191),x97192),f176(f911(x97191,a897)))) % 192.26/192.34 [10056]~P1(f295(f62(x100561),x100563))+E(f295(f295(f65(x100561,f911(x100561,a897),f295(f295(f8(f911(x100561,a897),f911(f911(x100561,a897),f911(x100561,a897)),x100561),f295(f7(f911(x100561,a897),f911(x100561,a897),f911(x100561,a897)),f23(f911(x100561,a897)))),f295(f295(f7(x100561,f911(x100561,a897),f911(x100561,a897)),f275(x100561)),f176(f911(x100561,a897))))),x100562),x100563),f295(f295(f23(f911(x100561,a897)),x100562),x100563)) % 192.26/192.34 [10087]~P1(f295(f295(f208(a1),f2(a1)),x100873))+P1(f295(f295(f208(a1),f295(f295(f23(a1),x100871),f295(f295(f84(a1),f295(f295(f83(a1),f295(f77(a1),f295(f295(f23(a1),x100871),x100872))),f81(a1))),x100873))),x100872)) % 192.26/192.34 [10391]~P1(f295(f295(f297(x103911),x103913),f285(x103911,x103912)))+P1(f295(f284(x103911,f295(f295(f7(x103911,f911(f910(x103911,x103911),a897),f911(x103911,a897)),f295(f295(f8(f911(x103911,f911(f911(f910(x103911,x103911),a897),a897)),f911(f911(f910(x103911,x103911),a897),f911(x103911,a897)),x103911),f7(x103911,f911(f910(x103911,x103911),a897),a897)),f295(f295(f8(f911(x103911,f910(x103911,x103911)),f911(x103911,f911(f911(f910(x103911,x103911),a897),a897)),x103911),f295(f8(f910(x103911,x103911),f911(f911(f910(x103911,x103911),a897),a897),x103911),f297(f910(x103911,x103911)))),f217(x103911,x103911)))),x103912)),x103913)) % 192.26/192.34 [10404]P1(f295(f295(f297(x104041),x104042),f285(x104041,x104043)))+~P1(f295(f284(x104041,f295(f295(f7(x104041,f911(f910(x104041,x104041),a897),f911(x104041,a897)),f295(f295(f8(f911(x104041,f911(f911(f910(x104041,x104041),a897),a897)),f911(f911(f910(x104041,x104041),a897),f911(x104041,a897)),x104041),f7(x104041,f911(f910(x104041,x104041),a897),a897)),f295(f295(f8(f911(x104041,f910(x104041,x104041)),f911(x104041,f911(f911(f910(x104041,x104041),a897),a897)),x104041),f295(f8(f910(x104041,x104041),f911(f911(f910(x104041,x104041),a897),a897),x104041),f297(f910(x104041,x104041)))),f217(x104041,x104041)))),x104043)),x104042)) % 192.26/192.34 [9924]~P1(f295(f62(x99241),f295(f212(x99241),x99243)))+P1(f295(f62(x99241),f295(f212(x99241),f295(f295(f18(x99241,a897,a897),f295(f295(f8(a897,f911(a897,a897),x99241),a293),x99242)),x99243)))) % 192.26/192.34 [9925]~P1(f295(f62(x99251),f295(f212(x99251),x99252)))+P1(f295(f62(x99251),f295(f212(x99251),f295(f295(f18(x99251,a897,a897),f295(f295(f8(a897,f911(a897,a897),x99251),a293),x99252)),x99253)))) % 192.26/192.34 [10018]P1(f295(f62(x100181),f295(f212(x100181),x100182)))+~P1(f295(f62(x100181),f295(f212(x100181),f295(f295(f18(x100181,a897,a897),f295(f295(f8(a897,f911(a897,a897),x100181),a294),x100183)),x100182)))) % 192.26/192.34 [10019]P1(f295(f62(x100191),f295(f212(x100191),x100192)))+~P1(f295(f62(x100191),f295(f212(x100191),f295(f295(f18(x100191,a897,a897),f295(f295(f8(a897,f911(a897,a897),x100191),a294),x100192)),x100193)))) % 192.26/192.34 [10371]~P1(f295(f62(x103711),x103712))+P1(f295(f62(f903(x103711)),f295(f212(f903(x103711)),f295(f295(f18(f903(x103711),a897,a897),f295(f295(f8(a897,f911(a897,a897),f903(x103711)),a293),f295(f295(f7(f903(x103711),f911(x103711,a897),a897),f295(f295(f8(f911(x103711,a897),f911(f911(x103711,a897),a897),f903(x103711)),f207(f911(x103711,a897))),f160(x103711))),x103712))),f295(f295(f7(f903(x103711),a902,a897),f295(f295(f8(a902,f911(a902,a897),f903(x103711)),a292),f177(f903(x103711)))),x103713))))) % 192.26/192.34 [10372]~P1(f295(f62(x103721),x103722))+P1(f295(f62(f903(x103721)),f295(f212(f903(x103721)),f295(f295(f18(f903(x103721),a897,a897),f295(f295(f8(a897,f911(a897,a897),f903(x103721)),a293),f295(f295(f7(f903(x103721),f911(x103721,a897),a897),f295(f295(f8(f911(x103721,a897),f911(f911(x103721,a897),a897),f903(x103721)),f207(f911(x103721,a897))),f160(x103721))),x103722))),f295(f295(f7(f903(x103721),a902,a897),f295(f295(f8(a902,f911(a902,a897),f903(x103721)),f207(a902)),f177(f903(x103721)))),x103723))))) % 192.26/192.34 [10035]~P123(x100351)+E(f295(f295(f218(x100351),x100352),f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x100353)),f295(f295(f84(x100351),f295(f295(f218(x100351),x100352),x100353)),f295(f295(f218(x100351),x100352),x100353))) % 192.26/192.34 [10068]~P90(x100681)+E(f295(f295(f218(x100681),f295(f295(f218(x100681),x100682),x100683)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f218(x100681),x100682),f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x100683))) % 192.26/192.34 [10119]~P145(x101191)+E(f295(f295(f218(x101191),f295(f82(x101191),x101192)),f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101193)),f295(f295(f218(x101191),x101192),f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101193))) % 192.26/192.34 [10303]~P119(x103031)+P1(f295(f295(f207(x103031),f2(x103031)),f295(f295(f83(x103031),f295(f295(f218(x103031),x103032),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103031),x103033),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))))) % 192.26/192.34 [10129]~P123(x101291)+E(f295(f295(f218(x101291),x101292),f295(a119,f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101293))),f295(f295(f84(x101291),x101292),f295(f295(f84(x101291),f295(f295(f218(x101291),x101292),x101293)),f295(f295(f218(x101291),x101292),x101293)))) % 192.26/192.34 [10187]~P90(x101871)+E(f295(f295(f84(x101871),x101872),f295(f295(f218(x101871),f295(f295(f218(x101871),x101872),x101873)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x101871),x101872),f295(a119,f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101873)))) % 192.26/192.34 [10248]~P119(x102481)+P1(f295(f295(f207(x102481),f2(x102481)),f295(f295(f218(x102481),x102482),f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x102483)))) % 192.26/192.34 [10339]~P104(x103391)+E(f295(f295(f23(x103391),f295(f295(f83(x103391),f295(f295(f218(x103391),x103392),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103391),x103393),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f295(f295(f84(x103391),f295(f295(f84(x103391),f295(f110(x103391),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x103392)),x103393)),f295(f295(f218(x103391),f295(f295(f23(x103391),x103392),x103393)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [10340]~P104(x103401)+E(f295(f295(f83(x103401),f295(f295(f83(x103401),f295(f295(f218(x103401),x103402),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103401),x103403),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f295(f295(f84(x103401),f295(f295(f84(x103401),f295(f110(x103401),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x103402)),x103403)),f295(f295(f218(x103401),f295(f295(f83(x103401),x103402),x103403)),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [10454]~P29(x104541,x104542,x104543)+P1(f101(x104541,a897,f295(f295(f8(f911(a898,f911(f911(x104541,f911(a899,a897)),f911(x104541,a897))),f911(a898,f911(f911(x104541,f911(a899,a897)),a897)),f911(x104541,f911(a899,a897))),f295(f8(f911(f911(x104541,f911(a899,a897)),f911(x104541,a897)),f911(f911(x104541,f911(a899,a897)),a897),a898),f295(f8(f911(x104541,a897),a897,f911(x104541,f911(a899,a897))),f91(x104541)))),f295(f295(f8(f911(a898,f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897)))),f911(a898,f911(f911(x104541,f911(a899,a897)),f911(x104541,a897))),f911(x104541,f911(a899,a897))),f295(f8(f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),f911(f911(x104541,f911(a899,a897)),f911(x104541,a897)),a898),f295(f8(f911(x104541,f911(a899,a897)),f911(x104541,a897),f911(x104541,f911(a899,a897))),f295(f8(f911(a899,a897),a897,x104541),f91(a899))))),f295(f295(f7(f911(x104541,f911(a899,a897)),f911(a898,f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897)))),f911(a898,f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))))),f295(f295(f8(f911(f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897)))),f911(f911(a898,f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897)))),f911(a898,f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))))),f911(x104541,f911(a899,a897))),f8(f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),a898)),f295(f295(f8(f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),f911(f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897)))),f911(x104541,f911(a899,a897))),f8(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897)))),f295(f295(f8(f911(x104541,f911(f911(a899,a897),f911(a899,a897))),f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),f911(x104541,f911(a899,a897))),f18(x104541,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(x104541,f911(a899,f911(a897,a897))),f911(x104541,f911(f911(a899,a897),f911(a899,a897))),f911(x104541,f911(a899,a897))),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),x104541),f18(a899,a897,a897))),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),x104541),f295(f8(a897,f911(a897,a897),a899),a298))))))),f295(f295(f8(f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,f911(a899,a897)))),f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),a898),f295(f8(f911(x104541,f911(a899,f911(a899,a897))),f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,a897))),f295(f8(f911(a899,f911(a899,a897)),f911(a899,a897),x104541),f295(f8(f911(a899,a897),a897,a899),f91(a899))))),f295(f295(f8(f911(f911(a899,a897),f911(a899,f911(a899,a897))),f911(f911(x104541,f911(a899,a897)),f911(x104541,f911(a899,f911(a899,a897)))),a898),f8(f911(a899,a897),f911(a899,f911(a899,a897)),x104541)),f295(f295(f8(f911(a899,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a899,a897),f911(a899,f911(a899,a897))),a898),f7(a899,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a899,f911(a899,f911(a897,a897))),f911(a899,f911(f911(a899,a897),f911(a899,a897))),a898),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a899),f18(a899,a897,a897))),f295(f295(f8(f911(a899,f911(a899,a897)),f911(a899,f911(a899,f911(a897,a897))),a898),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a899),f295(f8(a897,f911(a897,a897),a899),a298))),f295(f295(f7(a898,a902,f911(a899,f911(a899,a897))),f295(f295(f8(f911(a899,f911(a902,f911(a899,a897))),f911(a902,f911(a899,f911(a899,a897))),a898),f7(a899,a902,f911(a899,a897))),a184)),x104542))))))))),x104543)) % 192.26/192.34 [10459]P29(x104591,x104592,x104593)+~P1(f101(x104591,a897,f295(f295(f8(f911(a898,f911(f911(x104591,f911(a899,a897)),f911(x104591,a897))),f911(a898,f911(f911(x104591,f911(a899,a897)),a897)),f911(x104591,f911(a899,a897))),f295(f8(f911(f911(x104591,f911(a899,a897)),f911(x104591,a897)),f911(f911(x104591,f911(a899,a897)),a897),a898),f295(f8(f911(x104591,a897),a897,f911(x104591,f911(a899,a897))),f91(x104591)))),f295(f295(f8(f911(a898,f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897)))),f911(a898,f911(f911(x104591,f911(a899,a897)),f911(x104591,a897))),f911(x104591,f911(a899,a897))),f295(f8(f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),f911(f911(x104591,f911(a899,a897)),f911(x104591,a897)),a898),f295(f8(f911(x104591,f911(a899,a897)),f911(x104591,a897),f911(x104591,f911(a899,a897))),f295(f8(f911(a899,a897),a897,x104591),f91(a899))))),f295(f295(f7(f911(x104591,f911(a899,a897)),f911(a898,f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897)))),f911(a898,f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))))),f295(f295(f8(f911(f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897)))),f911(f911(a898,f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897)))),f911(a898,f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))))),f911(x104591,f911(a899,a897))),f8(f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),a898)),f295(f295(f8(f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),f911(f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897)))),f911(x104591,f911(a899,a897))),f8(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897)))),f295(f295(f8(f911(x104591,f911(f911(a899,a897),f911(a899,a897))),f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),f911(x104591,f911(a899,a897))),f18(x104591,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(x104591,f911(a899,f911(a897,a897))),f911(x104591,f911(f911(a899,a897),f911(a899,a897))),f911(x104591,f911(a899,a897))),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),x104591),f18(a899,a897,a897))),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),x104591),f295(f8(a897,f911(a897,a897),a899),a298))))))),f295(f295(f8(f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,f911(a899,a897)))),f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),a898),f295(f8(f911(x104591,f911(a899,f911(a899,a897))),f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,a897))),f295(f8(f911(a899,f911(a899,a897)),f911(a899,a897),x104591),f295(f8(f911(a899,a897),a897,a899),f91(a899))))),f295(f295(f8(f911(f911(a899,a897),f911(a899,f911(a899,a897))),f911(f911(x104591,f911(a899,a897)),f911(x104591,f911(a899,f911(a899,a897)))),a898),f8(f911(a899,a897),f911(a899,f911(a899,a897)),x104591)),f295(f295(f8(f911(a899,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a899,a897),f911(a899,f911(a899,a897))),a898),f7(a899,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a899,f911(a899,f911(a897,a897))),f911(a899,f911(f911(a899,a897),f911(a899,a897))),a898),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a899),f18(a899,a897,a897))),f295(f295(f8(f911(a899,f911(a899,a897)),f911(a899,f911(a899,f911(a897,a897))),a898),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a899),f295(f8(a897,f911(a897,a897),a899),a298))),f295(f295(f7(a898,a902,f911(a899,f911(a899,a897))),f295(f295(f8(f911(a899,f911(a902,f911(a899,a897))),f911(a902,f911(a899,f911(a899,a897))),a898),f7(a899,a902,f911(a899,a897))),a184)),x104592))))))))),x104593)) % 192.26/192.34 [4838]E(x48381,x48382)+~E(f33(x48383,x48381),f33(x48384,x48382)) % 192.26/192.34 [4839]E(x48391,x48392)+~E(f33(x48391,x48393),f33(x48392,x48394)) % 192.26/192.34 [4840]E(x48401,x48402)+~E(f27(x48403,x48401),f27(x48404,x48402)) % 192.26/192.34 [4841]E(x48411,x48412)+~E(f27(x48411,x48413),f27(x48412,x48414)) % 192.26/192.34 [4842]E(x48421,x48422)+~E(f32(x48423,x48421),f32(x48424,x48422)) % 192.26/192.34 [4843]E(x48431,x48432)+~E(f32(x48431,x48433),f32(x48432,x48434)) % 192.26/192.34 [7916]P24(x79161,x79162,x79163,x79164)+~E(f346(x79164,x79163,x79162,x79161),f347(x79164,x79163,x79162,x79161)) % 192.26/192.34 [8217]P34(x82171,x82172,x82173,x82174,f120(x82172))+~E(x82174,f120(x82171)) % 192.26/192.34 [8218]P34(x82181,x82182,x82183,f120(x82181),x82184)+~E(x82184,f120(x82182)) % 192.26/192.34 [8762]~P34(x87622,x87623,x87624,x87621,f120(x87623))+E(x87621,f120(x87622)) % 192.26/192.34 [8763]~P34(x87633,x87632,x87634,f120(x87633),x87631)+E(x87631,f120(x87632)) % 192.26/192.34 [5200]E(x52001,x52002)+~E(f295(f295(a277,x52003),x52001),f295(f295(a277,x52004),x52002)) % 192.26/192.34 [5201]E(x52011,x52012)+~E(f295(f295(a277,x52011),x52013),f295(f295(a277,x52012),x52014)) % 192.26/192.34 [5228]~P16(x52283,x52281,x52284)+E(f295(f295(x52281,x52282),x52282),x52282) % 192.26/192.34 [5517]~E(x55174,f176(f911(x55171,a897)))+E(f295(f276(x55171,x55172,x55173),x55174),f176(f911(x55172,a897))) % 192.26/192.34 [5785]~E(f295(f276(x57852,x57853,x57854),x57851),f176(f911(x57853,a897)))+E(x57851,f176(f911(x57852,a897))) % 192.26/192.34 [5970]~P8(x59701,x59703)+E(f237(x59701,x59702,f236(x59701,x59703),x59704),x59704) % 192.26/192.34 [6069]~P114(x60692)+E(f295(f295(f137(x60691,x60692,x60693),x60694),f120(x60691)),f295(f295(f140(x60691),x60694),f120(x60691))) % 192.26/192.34 [6347]~P42(x63472,x63473,x63471,x63474)+E(f295(x63471,f36(x63472)),f36(x63473)) % 192.26/192.34 [6417]~E(x64171,f176(f911(x64172,a897)))+~P1(f295(f63(x64172,x64173,x64171),x64174)) % 192.26/192.34 [6438]~P13(x64384,x64381,x64382)+E(f295(f295(f74(x64381,x64381,x64381),f295(x64382,x64383)),f295(x64382,x64383)),f295(x64382,x64383)) % 192.26/192.34 [6441]~P64(x64411,x64413,x64414,x64412)+P1(f295(f62(x64411),x64412)) % 192.26/192.34 [6443]~P64(x64431,x64433,x64432,x64434)+P1(f295(f62(x64431),x64432)) % 192.26/192.34 [6450]~P64(x64502,x64503,x64504,x64501)+~E(x64501,f176(f911(x64502,a897))) % 192.26/192.34 [6481]~P116(x64811)+E(f295(f295(f108(f911(x64811,a897)),f295(f268(x64811,x64812),x64813)),f269(x64811,x64813,x64814)),f176(f911(x64811,a897))) % 192.26/192.34 [6508]~P1(f295(f295(x65083,x65084),x65082))+P1(f295(f295(f297(x65081),x65082),f259(x65081,x65083,x65084))) % 192.26/192.34 [6509]~P1(f295(f295(x65093,x65094),x65092))+P1(f295(f295(f297(x65091),x65092),f260(x65091,x65093,x65094))) % 192.26/192.34 [6510]~P1(f295(f295(x65103,x65102),x65104))+P1(f295(f295(f297(x65101),x65102),f261(x65101,x65103,x65104))) % 192.26/192.34 [6511]~P1(f295(f295(x65113,x65112),x65114))+P1(f295(f295(f297(x65111),x65112),f264(x65111,x65113,x65114))) % 192.26/192.34 [6576]~P53(x65764,x65761,x65762,x65763)+P1(f295(f295(x65761,x65762),x65763)) % 192.26/192.34 [6653]~P116(x66531)+E(f295(f295(f108(f911(x66531,a897)),f272(x66531,x66532,x66533)),f269(x66531,x66533,x66534)),f176(f911(x66531,a897))) % 192.26/192.34 [6654]~P116(x66541)+E(f295(f295(f108(f911(x66541,a897)),f271(x66541,x66542,x66543)),f272(x66541,x66543,x66544)),f176(f911(x66541,a897))) % 192.26/192.34 [6655]~P116(x66551)+E(f295(f295(f108(f911(x66551,a897)),f271(x66551,x66552,x66553)),f271(x66551,x66553,x66554)),f176(f911(x66551,a897))) % 192.26/192.34 [6656]~P116(x66561)+E(f295(f295(f108(f911(x66561,a897)),f269(x66561,x66562,x66563)),f272(x66561,x66563,x66564)),f176(f911(x66561,a897))) % 192.26/192.34 [6657]~P116(x66571)+E(f295(f295(f108(f911(x66571,a897)),f269(x66571,x66572,x66573)),f271(x66571,x66573,x66574)),f176(f911(x66571,a897))) % 192.26/192.34 [6693]P1(f295(f295(x66931,x66932),f725(x66932,x66931)))+~P1(f295(f224(x66933,x66934,x66931),x66932)) % 192.26/192.34 [6697]~P53(x66971,x66972,x66973,x66974)+~P1(f295(f295(x66972,x66974),x66973)) % 192.26/192.34 [6771]~P114(x67712)+E(f295(f160(x67711),f139(x67711,x67712,x67713,x67714)),f295(f160(x67711),x67714)) % 192.26/192.34 [6823]~P118(x68231)+E(f178(x68231,x68232,f295(a119,x68233),x68234),f178(x68231,x68232,x68233,f295(x68232,x68234))) % 192.26/192.34 [6880]~P1(f295(f295(f297(x68804),x68803),f259(x68804,x68801,x68802)))+P1(f295(f295(x68801,x68802),x68803)) % 192.26/192.34 [6881]~P1(f295(f295(f297(x68814),x68813),f260(x68814,x68811,x68812)))+P1(f295(f295(x68811,x68812),x68813)) % 192.26/192.34 [6882]~P1(f295(f295(f297(x68824),x68822),f261(x68824,x68821,x68823)))+P1(f295(f295(x68821,x68822),x68823)) % 192.26/192.34 [6883]~P1(f295(f295(f297(x68834),x68832),f264(x68834,x68831,x68833)))+P1(f295(f295(x68831,x68832),x68833)) % 192.26/192.34 [6956]E(f295(f39(f912(x69561,x69562)),f282(x69561,x69562,x69563,x69564)),f2(a902))+P1(f295(f62(x69562),x69564)) % 192.26/192.34 [6957]E(f295(f39(f912(x69571,x69572)),f282(x69571,x69572,x69573,x69574)),f2(a902))+P1(f295(f62(x69571),x69573)) % 192.26/192.34 [7954]~P1(f295(x79541,x79544))+P1(f295(x79541,f97(x79542,a902,x79543,x79541))) % 192.26/192.34 [8037]~E(x80372,x80373)+P1(f295(f295(f297(f910(x80371,x80371)),f295(f295(f217(x80371,x80371),x80372),x80373)),f273(x80371,x80374))) % 192.26/192.34 [8067]~P24(x80671,x80672,x80673,f214(f911(x80671,a897)))+E(f295(f80(x80671,x80672,f214(f911(x80671,a897)),x80673),f295(x80673,x80674)),x80674) % 192.26/192.34 [8068]~P24(x80681,x80682,x80683,f214(f911(x80681,a897)))+E(f295(f94(x80681,x80682,f214(f911(x80681,a897)),x80683),f295(x80683,x80684)),x80684) % 192.26/192.34 [8163]~P1(f295(f295(f297(f903(x81631)),f295(f295(f122(x81631),x81634),x81632)),f150(x81631,x81633)))+P1(f295(f295(f297(f903(x81631)),x81632),f150(x81631,x81633))) % 192.26/192.34 [8164]~P1(f295(f295(f297(f903(x81641)),f295(f295(f122(x81641),x81642),x81644)),f150(x81641,x81643)))+P1(f295(f295(f297(f903(x81641)),x81642),f150(x81641,x81643))) % 192.26/192.34 [8165]~P1(f295(f295(f297(f903(x81651)),f295(f295(f140(x81651),x81654),x81652)),f150(x81651,x81653)))+P1(f295(f295(f297(f903(x81651)),x81652),f150(x81651,x81653))) % 192.26/192.34 [8180]~P114(x81801)+P12(x81801,f295(f295(f143(x81802,x81801),x81803),f139(x81802,x81801,x81803,x81804))) % 192.26/192.34 [8280]P24(x82804,x82803,x82801,x82802)+E(f295(x82801,f346(x82802,x82801,x82803,x82804)),f295(x82801,f347(x82802,x82801,x82803,x82804))) % 192.26/192.34 [8388]~P24(x83882,x83881,x83884,x83883)+P24(x83881,x83882,f80(x83882,x83881,x83883,x83884),f295(f276(x83882,x83881,x83884),x83883)) % 192.26/192.34 [8526]P36(f910(x85262,x85264),f247(x85262,x85264,x85261,x85263))+P1(f295(x85261,f693(x85262,x85263,x85264,x85261))) % 192.26/192.34 [8644]E(x86441,x86442)+~P1(f295(f295(f297(f910(x86443,x86443)),f295(f295(f217(x86443,x86443),x86441),x86442)),f213(x86443,x86444))) % 192.26/192.34 [8709]~P1(f295(f62(f912(x87093,x87091)),f282(x87093,x87091,x87094,x87092)))+P1(f295(f62(x87091),x87092)) % 192.26/192.34 [8710]~P1(f295(f62(f912(x87101,x87103)),f282(x87101,x87103,x87102,x87104)))+P1(f295(f62(x87101),x87102)) % 192.26/192.34 [8918]P36(f910(x89181,x89182),f247(x89181,x89182,x89183,x89184))+~P36(x89182,f295(x89184,f693(x89181,x89184,x89182,x89183))) % 192.26/192.34 [9484]E(f295(f295(f148(x94841,x94842),f676(x94843,x94844,x94842,x94841)),f677(x94843,x94844,x94842,x94841)),x94844)+~P1(f295(f295(f297(f910(f903(x94841),f903(x94841))),f295(f295(f217(f903(x94841),f903(x94841)),x94842),x94844)),f146(x94841,x94843))) % 192.26/192.34 [9485]~P1(f295(x94853,x94854))+P1(f295(f295(f207(a902),f295(x94851,f97(x94852,a902,x94851,x94853))),f295(x94851,x94854))) % 192.26/192.34 [9491]~P1(f295(f295(f297(f910(f903(x94911),f903(x94911))),f295(f295(f217(f903(x94911),f903(x94911)),x94912),x94913)),f134(x94911,x94914)))+P1(f295(f295(f297(f910(f903(x94911),f903(x94911))),f295(f295(f217(f903(x94911),f903(x94911)),x94912),x94913)),f136(x94911,x94914))) % 192.26/192.34 [9594]P1(f295(f62(x95941),x95942))+~P1(f295(f295(f297(f910(f911(x95941,a897),f911(x95941,a897))),f295(f295(f217(f911(x95941,a897),f911(x95941,a897)),x95943),x95942)),f287(x95941,x95944))) % 192.26/192.34 [9595]P1(f295(f62(x95951),x95952))+~P1(f295(f295(f297(f910(f911(x95951,a897),f911(x95951,a897))),f295(f295(f217(f911(x95951,a897),f911(x95951,a897)),x95952),x95953)),f287(x95951,x95954))) % 192.26/192.34 [9598]~E(x95981,f176(f911(x95982,a897)))+~P1(f295(f295(f297(f910(f911(x95982,a897),f911(x95982,a897))),f295(f295(f217(f911(x95982,a897),f911(x95982,a897)),x95983),x95981)),f287(x95982,x95984))) % 192.26/192.34 [10271]P10(x102711,x102712,x102713,x102714)+~P1(f295(f295(f228(x102711,x102711,a897),f295(f295(f7(x102711,f911(x102711,x102712),f911(x102711,a897)),f295(f295(f8(f911(x102712,a897),f911(f911(x102711,x102712),f911(x102711,a897)),x102711),f8(x102712,a897,x102711)),f295(f295(f8(x102712,f911(x102712,a897),x102711),a292),x102714))),x102714)),f584(x102714,x102713,x102712,x102711))) % 192.26/192.34 [10316]P57(x103161,x103161,f36(f911(x103161,x103161)),f36(x103161),x103162,x103163,x103164,x103162)+~E(x103164,f295(x103163,x103162)) % 192.26/192.34 [5125]~E(x51252,f120(x51251))+E(f295(f295(f148(x51251,x51252),x51253),x51254),f120(x51251)) % 192.26/192.34 [5126]~E(x51264,f120(x51261))+E(f295(f295(f143(x51261,x51262),x51263),x51264),f120(x51262)) % 192.26/192.34 [5362]E(x53621,f120(x53622))+~E(f295(f295(f143(x53622,x53623),x53624),x53621),f120(x53623)) % 192.26/192.34 [5363]E(x53631,f120(x53632))+~E(f295(f295(f148(x53632,x53631),x53633),x53634),f120(x53632)) % 192.26/192.34 [5396]E(x53961,x53962)+~E(f295(f295(f122(x53963),x53964),x53961),f295(f295(f122(x53963),x53964),x53962)) % 192.26/192.34 [5397]E(x53971,x53972)+~E(f295(f295(f122(x53973),x53971),x53974),f295(f295(f122(x53973),x53972),x53974)) % 192.26/192.34 [5553]P1(f295(x55533,x55532))+E(f158(x55531,x55532,f295(f125(x55531,x55533),x55534)),f295(f125(x55531,x55533),x55534)) % 192.26/192.34 [5555]~P1(f295(x55552,x55553))+P33(x55551,x55552,f295(f295(f140(x55551),x55553),x55554)) % 192.26/192.34 [5564]E(x55641,x55642)+~E(f128(a902,f295(f268(a902,x55641),x55643)),f295(f295(f140(a902),x55642),x55644)) % 192.26/192.34 [5612]~P25(x56122,x56123)+P25(x56121,f295(f295(f75(x56122,x56121),x56123),x56124)) % 192.26/192.34 [5613]~P36(x56132,x56133)+P36(x56131,f295(f295(f254(x56132,x56131),x56133),x56134)) % 192.26/192.34 [5614]~P38(x56142,x56143)+P38(x56141,f295(f295(f254(x56142,x56141),x56143),x56144)) % 192.26/192.34 [5615]~P37(x56152,x56153)+P37(x56151,f295(f295(f254(x56152,x56151),x56153),x56154)) % 192.26/192.34 [5741]~P33(x57411,x57412,x57414)+P33(x57411,x57412,f295(f295(f122(x57411),x57413),x57414)) % 192.26/192.34 [5742]~P33(x57421,x57422,x57423)+P33(x57421,x57422,f295(f295(f122(x57421),x57423),x57424)) % 192.26/192.34 [5743]~P33(x57431,x57432,x57434)+P33(x57431,x57432,f295(f295(f140(x57431),x57433),x57434)) % 192.26/192.34 [5828]~E(x58281,f120(x58282))+~E(f295(f295(f122(x58282),x58283),f295(f295(f140(x58282),x58284),f120(x58282))),x58281) % 192.26/192.34 [5852]~P30(x58523,x58521,f295(f295(f140(x58523),x58522),x58524))+P1(f295(x58521,x58522)) % 192.26/192.34 [5862]E(f133(x58621,x58622),x58623)+~E(f295(f295(f122(x58621),x58624),f295(f295(f140(x58621),x58623),f120(x58621))),x58622) % 192.26/192.34 [5863]E(f121(x58631,x58632),x58633)+~E(f295(f295(f122(x58631),x58633),f295(f295(f140(x58631),x58634),f120(x58631))),x58632) % 192.26/192.34 [5972]~E(f128(a902,f295(f268(a902,x59721),x59722)),f295(f295(f140(a902),x59723),x59724))+P1(f295(f295(f208(a902),x59721),x59722)) % 192.26/192.34 [5981]P30(x59811,x59812,x59813)+~P30(x59811,x59812,f295(f295(f122(x59811),x59814),x59813)) % 192.26/192.34 [5982]P30(x59821,x59822,x59823)+~P30(x59821,x59822,f295(f295(f122(x59821),x59823),x59824)) % 192.26/192.34 [5983]P30(x59831,x59832,x59833)+~P30(x59831,x59832,f295(f295(f140(x59831),x59834),x59833)) % 192.26/192.34 [6172]E(x61721,f295(f295(f122(x61722),f295(f157(x61722),x61723)),f295(f295(f140(x61722),x61724),f120(x61722))))+~E(f295(f157(x61722),x61721),f295(f295(f140(x61722),x61724),x61723)) % 192.26/192.34 [6340]~P116(x63401)+E(f295(f295(f108(f911(x63401,a897)),f295(f268(x63401,x63402),x63403)),f295(f268(x63401,x63403),x63404)),f176(f911(x63401,a897))) % 192.26/192.34 [6377]~P77(x63771)+E(f295(f154(x63771),f295(f295(f143(a1,x63771),x63772),f165(x63773,x63774))),f295(f295(f6(a1,x63771),x63772),f295(f160(a1),f165(x63773,x63774)))) % 192.26/192.34 [6378]~P77(x63781)+E(f295(f295(f6(a1,x63781),x63782),f295(f160(a1),f165(x63783,x63784))),f295(f154(x63781),f295(f295(f143(a1,x63781),x63782),f165(x63783,x63784)))) % 192.26/192.34 [6522]~E(x65222,f295(f295(f122(x65221),f295(f157(x65221),x65224)),f295(f295(f140(x65221),x65223),f120(x65221))))+E(f295(f157(x65221),x65222),f295(f295(f140(x65221),x65223),x65224)) % 192.26/192.34 [6537]~P18(x65372,x65373,x65374,x65371)+E(f295(x65371,f176(f911(x65372,a897))),f36(x65373)) % 192.26/192.34 [6565]~P116(x65651)+E(f295(f295(f108(f911(x65651,a897)),f272(x65651,x65652,x65653)),f295(f268(x65651,x65653),x65654)),f176(f911(x65651,a897))) % 192.26/192.34 [6772]E(x67721,f176(f911(x67722,a897)))+~E(f282(x67723,x67722,x67724,x67721),f176(f911(f912(x67723,x67722),a897))) % 192.26/192.34 [6773]E(x67731,f176(f911(x67732,a897)))+~E(f282(x67732,x67733,x67731,x67734),f176(f911(f912(x67732,x67733),a897))) % 192.26/192.34 [6842]~P114(x68422)+E(f295(f177(f903(x68421)),f139(x68421,x68422,x68423,x68424)),f295(f177(f903(x68421)),x68424)) % 192.26/192.34 [6852]~P1(f295(f225(x68523,x68524,x68521),x68522))+P1(f295(f295(x68521,f726(x68522,x68521)),x68522)) % 192.26/192.34 [6891]~P1(f295(f62(x68912),x68914))+P1(f295(f62(x68911),f295(f276(x68912,x68911,x68913),x68914))) % 192.26/192.34 [7119]~P24(x71192,x71191,x71193,x71194)+E(f295(f39(x71191),f295(f276(x71192,x71191,x71193),x71194)),f295(f39(x71192),x71194)) % 192.26/192.34 [7137]E(f295(f276(x71371,x71372,x71373),f295(f278(x71371,x71372,x71373),x71374)),x71374)+~E(f295(f276(x71371,x71372,x71373),f214(f911(x71371,a897))),f214(f911(x71372,a897))) % 192.26/192.34 [7554]~P24(x75541,x75542,x75543,f214(f911(x75541,a897)))+E(f295(f278(x75541,x75542,x75543),f295(f276(x75541,x75542,x75543),x75544)),x75544) % 192.26/192.34 [7875]P1(f295(x78751,x78752))+~P1(f295(f295(f297(x78753),x78752),f295(f160(x78753),f164(x78753,x78751,x78754)))) % 192.26/192.34 [7984]~P1(f295(f295(f297(f903(x79841)),f295(f295(f140(x79841),x79842),x79844)),f150(x79841,x79843)))+P1(f295(f295(f297(x79841),x79842),x79843)) % 192.26/192.34 [8113]~P1(f295(f295(f297(x81131),x81132),f295(f160(x81131),f162(x81131,x81133,x81134))))+P1(f295(f295(f297(x81131),x81132),f295(f160(x81131),x81133))) % 192.26/192.34 [8114]~P1(f295(f295(f297(x81141),x81142),f295(f160(x81141),f158(x81141,x81144,x81143))))+P1(f295(f295(f297(x81141),x81142),f295(f160(x81141),x81143))) % 192.26/192.34 [8115]~P1(f295(f295(f297(x81151),x81152),f295(f160(x81151),f164(x81151,x81154,x81153))))+P1(f295(f295(f297(x81151),x81152),f295(f160(x81151),x81153))) % 192.26/192.34 [8125]E(f295(f177(f903(x81251)),x81252),x81253)+~P1(f295(f295(f297(f903(x81251)),x81252),f295(f160(f903(x81251)),f56(x81251,x81253,x81254)))) % 192.26/192.34 [8232]P1(f295(x82323,x82322))+E(f295(f125(x82321,f295(f295(f8(a897,a897,x82321),a291),f295(a292,x82322))),f295(f125(x82321,x82323),x82324)),f295(f125(x82321,x82323),x82324)) % 192.26/192.34 [8338]E(f295(f295(f153(x83381),f164(x83381,x83382,x83383)),x83384),f295(f295(f153(x83381),x83383),x83384))+~P1(f295(f295(f208(a902),x83384),f295(f177(f903(x83381)),f164(x83381,x83382,x83383)))) % 192.26/192.34 [8426]~P77(x84261)+E(f295(f295(f6(a902,x84261),f295(f295(f8(a902,x84261,a902),x84262),a119)),f295(f268(a902,x84263),x84264)),f295(f295(f6(a902,x84261),x84262),f295(f268(a902,f295(a119,x84263)),f295(a119,x84264)))) % 192.26/192.34 [8437]~P77(x84371)+E(f295(f295(f6(a902,x84371),f295(f295(f8(a902,x84371,a902),x84372),a119)),f269(a902,x84373,x84374)),f295(f295(f6(a902,x84371),x84372),f269(a902,f295(a119,x84373),f295(a119,x84374)))) % 192.26/192.34 [8564]~P24(x85641,x85643,x85644,f214(f911(x85641,a897)))+P24(x85641,f911(x85642,x85643),f295(f295(f8(x85643,f911(x85642,x85643),x85641),f16(x85643,x85642)),x85644),f214(f911(x85641,a897))) % 192.26/192.34 [8652]~P24(x86522,x86521,x86524,x86523)+E(f295(f276(x86521,x86522,f80(x86522,x86521,x86523,x86524)),f295(f276(x86522,x86521,x86524),x86523)),x86523) % 192.26/192.34 [8711]~P1(f295(f295(f297(f910(x87111,x87111)),f295(f295(f217(x87111,x87111),x87112),x87114)),f213(x87111,x87113)))+P1(f295(f295(f297(x87111),x87112),x87113)) % 192.26/192.34 [8841]~P24(x88412,x88411,x88413,f214(f911(x88412,a897)))+E(f295(f276(x88411,x88412,f94(x88412,x88411,f214(f911(x88412,a897)),x88413)),f295(f276(x88412,x88411,x88413),x88414)),x88414) % 192.26/192.34 [8954]~E(f295(f295(f6(x89541,a902),x89544),x89543),f295(a119,x89542))+P1(f295(f295(f297(x89541),f573(x89542,x89543,x89544,x89541)),x89543)) % 192.26/192.34 [8975]~E(f295(f295(f6(x89754,a902),x89751),x89753),f295(a119,x89752))+P1(f295(f295(f208(a902),f2(a902)),f295(x89751,f573(x89752,x89753,x89751,x89754)))) % 192.26/192.34 [8988]~P1(f295(f62(x89882),x89884))+P1(f295(f295(f207(a902),f295(f39(x89881),f295(f276(x89882,x89881,x89883),x89884))),f295(f39(x89882),x89884))) % 192.26/192.34 [8989]E(f295(f295(f217(x89891,x89892),f833(x89893,x89894,x89892,x89891)),f834(x89893,x89894,x89892,x89891)),x89894)+~P1(f295(f295(f297(f910(x89891,x89892)),x89894),f295(f253(x89892,x89891),x89893))) % 192.26/192.34 [8997]P24(x89971,x89972,x89973,x89974)+P1(f295(f295(f297(x89971),f346(x89974,x89973,x89972,x89971)),x89974)) % 192.26/192.34 [8998]P24(x89981,x89982,x89983,x89984)+P1(f295(f295(f297(x89981),f347(x89984,x89983,x89982,x89981)),x89984)) % 192.26/192.34 [9071]P10(x90711,x90712,x90713,x90714)+P1(f295(f295(f297(f910(x90711,x90711)),f584(x90714,x90713,x90712,x90711)),x90713)) % 192.26/192.34 [9128]P1(f295(x91281,x91282))+~P1(f295(x91281,f295(f295(f217(x91283,x91284),f590(x91284,x91283,x91281)),f591(x91284,x91283,x91281)))) % 192.26/192.34 [9148]E(f295(f177(f903(x91481)),x91482),f295(f177(f903(x91481)),x91483))+~P1(f295(f295(f297(f910(f903(x91481),f903(x91481))),f295(f295(f217(f903(x91481),f903(x91481)),x91482),x91483)),f134(x91481,x91484))) % 192.26/192.34 [9149]E(f295(f177(f903(x91491)),x91492),f295(f177(f903(x91491)),x91493))+~P1(f295(f295(f297(f910(f903(x91491),f903(x91491))),f295(f295(f217(f903(x91491),f903(x91491)),x91492),x91493)),f146(x91491,x91494))) % 192.26/192.34 [9152]E(f295(f177(f903(x91521)),x91522),f295(f177(f903(x91521)),x91523))+~P1(f295(f295(f297(f910(f903(x91521),f903(x91521))),f295(f295(f217(f903(x91521),f903(x91521)),x91522),x91523)),f147(x91521,x91524))) % 192.26/192.34 [9225]P1(f295(f295(f207(a902),f144(x92251,x92252,x92253)),f144(x92251,x92254,x92253)))+P1(f295(f295(f297(x92251),f689(x92254,x92252,x92253,x92251)),f295(f160(x92251),x92253))) % 192.26/192.34 [9229]E(f295(f177(f903(x92291)),x92292),f295(f177(f903(x92291)),x92293))+~P1(f295(f295(f297(f910(f903(x92291),f903(x92291))),f295(f295(f217(f903(x92291),f903(x92291)),x92292),x92293)),f273(f903(x92291),f146(x92291,x92294)))) % 192.26/192.34 [9456]~P24(x94561,x94562,x94563,x94564)+~P1(f295(f295(f208(a902),f295(f39(x94562),f295(f276(x94561,x94562,x94563),x94564))),f295(f39(x94561),x94564))) % 192.26/192.34 [9504]~P1(f295(f295(f297(f910(f903(x95041),f903(x95041))),f295(f295(f217(f903(x95041),f903(x95041)),x95042),x95043)),f146(x95041,x95044)))+P1(f295(f295(f297(f910(f903(x95041),f903(x95041))),f295(f295(f217(f903(x95041),f903(x95041)),x95042),x95043)),f147(x95041,f273(x95041,x95044)))) % 192.26/192.34 [9507]~P1(f295(f295(f297(f910(f903(x95071),f903(x95071))),f295(f295(f217(f903(x95071),f903(x95071)),x95072),x95073)),f147(x95071,x95074)))+P1(f295(f295(f297(f910(f903(x95071),f903(x95071))),f295(f295(f217(f903(x95071),f903(x95071)),x95072),x95073)),f273(f903(x95071),f146(x95071,x95074)))) % 192.26/192.34 [9523]P1(f295(f295(f297(f910(x95231,x95231)),f295(f295(f217(x95231,x95231),x95232),x95233)),f273(x95231,x95234)))+~P1(f295(f295(f297(f910(x95231,x95231)),f295(f295(f217(x95231,x95231),x95232),x95233)),f295(f295(f255(x95231,x95231,x95231),x95234),f273(x95231,x95234)))) % 192.26/192.34 [9698]E(f295(f295(f122(x96981),f650(x96982,x96983,x96984,x96981)),f295(f295(f140(x96981),f651(x96982,x96983,x96984,x96981)),f657(x96982,x96983,x96984,x96981))),x96984)+~P1(f295(f295(f297(f910(f903(x96981),f903(x96981))),f295(f295(f217(f903(x96981),f903(x96981)),x96984),x96983)),f146(x96981,x96982))) % 192.26/192.34 [9699]E(f295(f295(f122(x96991),f650(x96992,x96993,x96994,x96991)),f295(f295(f140(x96991),f656(x96992,x96993,x96994,x96991)),f657(x96992,x96993,x96994,x96991))),x96993)+~P1(f295(f295(f297(f910(f903(x96991),f903(x96991))),f295(f295(f217(f903(x96991),f903(x96991)),x96994),x96993)),f146(x96991,x96992))) % 192.26/192.34 [9775]P1(f295(f295(f297(f910(x97751,x97751)),f295(f295(f217(x97751,x97751),x97752),f793(x97753,x97754,x97752,x97751))),f273(x97751,x97753)))+~P1(f295(f295(f297(f910(x97751,x97751)),f295(f295(f217(x97751,x97751),x97752),x97754)),f295(f295(f255(x97751,x97751,x97751),x97753),f273(x97751,x97753)))) % 192.26/192.34 [9848]P1(f295(f295(f207(a902),f144(x98481,x98482,x98483)),f144(x98481,x98484,x98483)))+~P1(f295(f295(f208(a902),f295(x98482,f689(x98484,x98482,x98483,x98481))),f295(x98484,f689(x98484,x98482,x98483,x98481)))) % 192.26/192.34 [9920]P1(f295(f295(f297(f910(x99201,x99201)),f295(f295(f217(x99201,x99201),f792(x99202,x99203,x99204,x99201)),x99203)),f273(x99201,x99202)))+~P1(f295(f295(f297(f910(x99201,x99201)),f295(f295(f217(x99201,x99201),x99204),x99203)),f295(f295(f255(x99201,x99201,x99201),x99202),f273(x99201,x99202)))) % 192.26/192.34 [5381]~E(x53812,x53813)+E(f158(x53811,x53812,f295(f295(f140(x53811),x53813),x53814)),x53814) % 192.26/192.34 [5510]P1(f295(x55102,x55103))+E(f164(x55101,x55102,f295(f295(f140(x55101),x55103),x55104)),f120(x55101)) % 192.26/192.34 [5576]~P86(x55762)+E(f295(f295(f82(f911(x55761,x55762)),x55763),x55764),f295(f82(x55762),f295(x55763,x55764))) % 192.26/192.34 [5589]~E(x55892,f2(a902))+E(f295(f295(f127(x55891),x55892),f295(f295(f140(x55891),x55893),x55894)),f295(f295(f140(x55891),x55893),x55894)) % 192.26/192.34 [5590]P1(f295(x55902,x55903))+E(f295(f125(x55901,x55902),f295(f295(f140(x55901),x55903),x55904)),f295(f125(x55901,x55902),x55904)) % 192.26/192.34 [5724]~E(x57242,x57244)+P1(f295(f295(f295(f275(x57241),x57242),x57243),x57244)) % 192.26/192.34 [5732]E(x57321,f120(x57322))+E(f133(x57323,f295(f295(f143(x57322,x57323),x57324),x57321)),f295(x57324,f133(x57322,x57321))) % 192.26/192.34 [5746]~E(x57461,f64(x57462,x57464))+E(f295(x57461,f295(f295(f275(x57462),x57463),f176(f911(x57462,a897)))),x57463) % 192.26/192.34 [5780]E(x57801,f120(x57802))+E(f295(f130(x57803),f295(f295(f143(x57802,x57803),x57804),x57801)),f295(x57804,f295(f130(x57802),x57801))) % 192.26/192.34 [5881]~P1(f295(x58813,x58814))+P1(f295(f295(f295(f275(x58811),x58812),x58813),x58814)) % 192.26/192.34 [5999]~P17(x59992,x59994,x59991)+E(f295(x59991,f295(f295(f275(x59992),x59993),f176(f911(x59992,a897)))),x59993) % 192.26/192.34 [6023]~E(x60232,x60233)+P1(f295(f295(f297(x60231),x60232),f295(f295(f275(x60231),x60233),x60234))) % 192.26/192.34 [6028]~P99(x60281)+E(f295(f295(f117(x60281),x60282),f295(f295(f117(x60281),x60283),x60284)),f295(f295(f117(x60281),x60283),f295(f295(f117(x60281),x60282),x60284))) % 192.26/192.34 [6030]~P109(x60301)+E(f295(f295(f117(x60301),x60302),f295(f295(f117(x60301),x60303),x60304)),f295(f295(f117(x60301),x60303),f295(f295(f117(x60301),x60302),x60304))) % 192.26/192.34 [6031]~P99(x60311)+E(f295(f295(f108(x60311),x60312),f295(f295(f108(x60311),x60313),x60314)),f295(f295(f108(x60311),x60313),f295(f295(f108(x60311),x60312),x60314))) % 192.26/192.34 [6033]~P110(x60331)+E(f295(f295(f108(x60331),x60332),f295(f295(f108(x60331),x60333),x60334)),f295(f295(f108(x60331),x60333),f295(f295(f108(x60331),x60332),x60334))) % 192.26/192.34 [6034]~P123(x60341)+E(f295(f295(f83(x60341),x60342),f295(f295(f83(x60341),x60343),x60344)),f295(f295(f83(x60341),x60343),f295(f295(f83(x60341),x60342),x60344))) % 192.26/192.34 [6036]~P114(x60361)+E(f295(f295(f205(x60361),x60362),f295(f295(f205(x60361),x60363),x60364)),f295(f295(f205(x60361),x60363),f295(f295(f205(x60361),x60362),x60364))) % 192.26/192.34 [6038]~P114(x60381)+E(f295(f295(f206(x60381),x60382),f295(f295(f206(x60381),x60383),x60384)),f295(f295(f206(x60381),x60383),f295(f295(f206(x60381),x60382),x60384))) % 192.26/192.34 [6039]~P123(x60391)+E(f295(f295(f84(x60391),x60392),f295(f295(f84(x60391),x60393),x60394)),f295(f295(f84(x60391),x60393),f295(f295(f84(x60391),x60392),x60394))) % 192.26/192.34 [6044]E(x60441,x60442)+E(f158(x60443,x60441,f295(f295(f140(x60443),x60442),x60444)),f295(f295(f140(x60443),x60442),f158(x60443,x60441,x60444))) % 192.26/192.34 [6057]~P1(f295(x60572,x60573))+E(f295(f125(x60571,x60572),f295(f295(f140(x60571),x60573),x60574)),f295(f295(f140(x60571),x60573),f295(f125(x60571,x60572),x60574))) % 192.26/192.34 [6192]~P1(f295(x61922,x61923))+E(f164(x61921,x61922,f295(f295(f140(x61921),x61923),x61924)),f295(f295(f140(x61921),x61923),f164(x61921,x61922,x61924))) % 192.26/192.34 [6255]E(x62551,f176(f911(x62552,a897)))+E(f295(f295(f43(x62552,f911(x62553,a897)),x62551),f295(f16(f911(x62553,a897),x62552),x62554)),x62554) % 192.26/192.34 [6256]E(x62561,f176(f911(x62562,a897)))+E(f295(f295(f44(x62562,f911(x62563,a897)),x62561),f295(f16(f911(x62563,a897),x62562),x62564)),x62564) % 192.26/192.34 [6265]~E(x62654,f176(f911(x62652,a897)))+E(f295(f295(f226(x62651,x62652),x62653),f295(f16(f911(x62652,a897),x62651),x62654)),f176(f911(f910(x62651,x62652),a897))) % 192.26/192.34 [6266]~E(x62663,f176(f911(x62661,a897)))+E(f295(f295(f226(x62661,x62662),x62663),f295(f16(f911(x62662,a897),x62661),x62664)),f176(f911(f910(x62661,x62662),a897))) % 192.26/192.34 [6313]E(x63131,f2(a902))+E(f295(f295(f127(x63132),x63131),f295(f295(f140(x63132),x63133),x63134)),f295(f295(f127(x63132),f295(f295(f23(a902),x63131),f81(a902))),x63134)) % 192.26/192.34 [6334]E(x63341,f176(f911(x63342,a897)))+E(f295(f276(x63342,x63343,f295(f16(x63343,x63342),x63344)),x63341),f295(f295(f275(x63343),x63344),f176(f911(x63343,a897)))) % 192.26/192.34 [6337]E(f295(f278(x63371,x63372,f295(f16(x63372,x63371),x63373)),x63374),f176(f911(x63371,a897)))+P1(f295(f295(f297(x63372),x63373),x63374)) % 192.26/192.34 [6401]~E(x64013,f176(f911(x64011,a897)))+E(f295(f295(f43(x64011,f911(x64012,a897)),x64013),f295(f16(f911(x64012,a897),x64011),x64014)),f214(f911(x64012,a897))) % 192.26/192.34 [6402]~E(x64023,f176(f911(x64021,a897)))+E(f295(f295(f44(x64021,f911(x64022,a897)),x64023),f295(f16(f911(x64022,a897),x64021),x64024)),f176(f911(x64022,a897))) % 192.26/192.34 [6404]~P69(x64041)+E(f46(x64041,f295(f295(f84(x64041),x64042),x64043),f295(f295(f84(x64041),x64042),x64044)),f295(f295(f84(x64041),x64042),f46(x64041,x64043,x64044))) % 192.26/192.34 [6575]E(f295(f278(x65751,x65752,f295(f16(x65752,x65751),x65753)),x65754),f214(f911(x65751,a897)))+~P1(f295(f295(f297(x65752),x65753),x65754)) % 192.26/192.34 [6600]~P1(f295(f295(f297(x66001),x66002),x66004))+P1(f295(f295(f297(x66001),x66002),f295(f295(f275(x66001),x66003),x66004))) % 192.26/192.34 [6605]P1(f295(x66051,x66052))+~P1(f295(f149(x66053,x66051),f295(f295(f140(x66053),x66052),x66054))) % 192.26/192.34 [6614]~E(x66143,f295(f295(f23(a902),f295(f177(f903(x66141)),x66142)),f81(a902)))+E(f121(x66141,f295(f295(f148(x66141,x66142),x66143),x66144)),f121(x66141,x66142)) % 192.26/192.34 [6632]~P114(x66321)+E(f295(f295(f108(f911(x66321,a897)),f295(f267(x66321),x66322)),f269(x66321,x66323,x66324)),f269(x66321,x66323,f295(f295(f205(x66321),x66322),x66324))) % 192.26/192.34 [6633]~P114(x66331)+E(f295(f295(f108(f911(x66331,a897)),f295(f250(x66331),x66332)),f269(x66331,x66333,x66334)),f269(x66331,f295(f295(f206(x66331),x66332),x66333),x66334)) % 192.26/192.34 [6648]E(f295(f295(f108(f911(x66481,a897)),x66482),f295(f295(f275(x66481),x66483),x66484)),f295(f295(f108(f911(x66481,a897)),x66482),x66484))+P1(f295(f295(f297(x66481),x66483),x66482)) % 192.26/192.34 [6660]E(f158(x66601,x66602,f295(f295(f122(x66601),x66603),x66604)),f295(f295(f122(x66601),x66603),f158(x66601,x66602,x66604)))+P1(f295(f295(f297(x66601),x66602),f295(f160(x66601),x66603))) % 192.26/192.34 [6665]~P90(x66651)+E(f295(f295(f84(x66651),f295(f295(f218(x66651),x66652),x66653)),f295(f295(f218(x66651),x66652),x66654)),f295(f295(f218(x66651),x66652),f295(f295(f83(a902),x66653),x66654))) % 192.26/192.34 [6666]~P123(x66661)+E(f295(f295(f84(x66661),f295(f295(f218(x66661),x66662),x66663)),f295(f295(f218(x66661),x66662),x66664)),f295(f295(f218(x66661),x66662),f295(f295(f83(a902),x66663),x66664))) % 192.26/192.34 [6701]~P108(x67011)+E(f295(f295(f108(x67011),f295(f295(f117(x67011),x67012),x67013)),f295(f295(f117(x67011),x67012),x67014)),f295(f295(f117(x67011),x67012),f295(f295(f108(x67011),x67013),x67014))) % 192.26/192.34 [6702]~P108(x67021)+E(f295(f295(f117(x67021),f295(f295(f108(x67021),x67022),x67023)),f295(f295(f108(x67021),x67022),x67024)),f295(f295(f108(x67021),x67022),f295(f295(f117(x67021),x67023),x67024))) % 192.26/192.34 [6703]~P114(x67031)+E(f295(f295(f206(x67031),f295(f295(f205(x67031),x67032),x67033)),f295(f295(f205(x67031),x67032),x67034)),f295(f295(f205(x67031),x67032),f295(f295(f206(x67031),x67033),x67034))) % 192.26/192.34 [6704]~P114(x67041)+E(f295(f295(f205(x67041),f295(f295(f206(x67041),x67042),x67043)),f295(f295(f206(x67041),x67042),x67044)),f295(f295(f206(x67041),x67042),f295(f295(f205(x67041),x67043),x67044))) % 192.26/192.34 [6705]~P123(x67051)+E(f295(f295(f83(x67051),f295(f295(f84(x67051),x67052),x67053)),f295(f295(f84(x67051),x67052),x67054)),f295(f295(f84(x67051),x67052),f295(f295(f83(x67051),x67053),x67054))) % 192.26/192.34 [6737]~P69(x67371)+E(f46(x67371,f295(f295(f84(x67371),x67372),x67373),f295(f295(f84(x67371),x67374),x67373)),f295(f295(f84(x67371),f46(x67371,x67372,x67374)),x67373)) % 192.26/192.34 [6740]~E(f295(f177(f903(x67401)),x67403),f295(f177(f903(x67402)),x67404))+E(f295(f295(f143(f910(x67401,x67402),x67402),f227(x67401,x67402)),f295(f295(f168(x67401,x67402),x67403),x67404)),x67404) % 192.26/192.34 [6741]~E(f295(f177(f903(x67411)),x67413),f295(f177(f903(x67412)),x67414))+E(f295(f295(f143(f910(x67411,x67412),x67411),f216(x67411,x67412)),f295(f295(f168(x67411,x67412),x67413),x67414)),x67413) % 192.26/192.34 [6746]P1(f295(f149(x67461,x67462),x67463))+~P1(f295(f149(x67461,x67462),f295(f295(f122(x67461),x67464),x67463))) % 192.26/192.34 [6747]P1(f295(f149(x67471,x67472),x67473))+~P1(f295(f149(x67471,x67472),f295(f295(f122(x67471),x67473),x67474))) % 192.26/192.34 [6748]P1(f295(f149(x67481,x67482),x67483))+~P1(f295(f149(x67481,x67482),f295(f295(f140(x67481),x67484),x67483))) % 192.26/192.34 [6753]~P70(x67531)+E(f46(x67531,f295(f295(f23(x67531),x67532),f46(x67531,x67533,x67534)),x67534),f46(x67531,f295(f295(f23(x67531),x67532),x67533),x67534)) % 192.26/192.34 [6755]~P69(x67551)+E(f46(x67551,f295(f295(f84(x67551),x67552),f46(x67551,x67553,x67554)),x67554),f46(x67551,f295(f295(f84(x67551),x67552),x67553),x67554)) % 192.26/192.34 [6756]~P69(x67561)+E(f46(x67561,f295(f295(f83(x67561),x67562),f46(x67561,x67563,x67564)),x67564),f46(x67561,f295(f295(f83(x67561),x67562),x67563),x67564)) % 192.26/192.34 [6835]~P114(x68351)+E(f295(f295(f108(f911(x68351,a897)),f269(x68351,x68352,x68353)),f295(f267(x68351),x68354)),f269(x68351,x68352,f295(f295(f205(x68351),x68353),x68354))) % 192.26/192.34 [6836]~P114(x68361)+E(f295(f295(f108(f911(x68361,a897)),f269(x68361,x68362,x68363)),f295(f250(x68361),x68364)),f269(x68361,f295(f295(f206(x68361),x68362),x68364),x68363)) % 192.26/192.34 [6839]~E(f295(f177(f903(x68391)),x68393),f295(f177(f903(x68392)),x68394))+E(f295(f295(f168(x68391,x68392),f295(f157(x68391),x68393)),f295(f157(x68392),x68394)),f295(f157(f910(x68391,x68392)),f295(f295(f168(x68391,x68392),x68393),x68394))) % 192.26/192.34 [6849]E(x68491,f295(f295(f23(a902),f295(f177(f903(x68492)),x68493)),f81(a902)))+E(f121(x68492,f295(f295(f148(x68492,x68493),x68491),x68494)),f295(f295(f148(x68492,f121(x68492,x68493)),x68491),x68494)) % 192.26/192.34 [6863]~P1(f295(f126(x68632),x68634))+P1(f295(f126(f910(x68631,x68632)),f295(f295(f168(x68631,x68632),x68633),x68634))) % 192.26/192.34 [6864]~P1(f295(f126(x68641),x68643))+P1(f295(f126(f910(x68641,x68642)),f295(f295(f168(x68641,x68642),x68643),x68644))) % 192.26/192.34 [6950]E(x69501,f295(f295(f295(a185,x69502),x69503),f295(x69504,x69502)))+~P1(f295(f295(f182(f27(x69503,x69504)),x69502),x69501)) % 192.26/192.34 [7122]E(f295(f295(f40(a902),x71221),x71222),x71223)+~P1(f295(f49(x71221,x71222),f295(f295(f217(a902,a902),x71223),x71224))) % 192.26/192.34 [7145]E(f46(a902,x71451,x71452),x71453)+~P1(f295(f49(x71451,x71452),f295(f295(f217(a902,a902),x71454),x71453))) % 192.26/192.34 [7148]P1(f295(f126(x71481),x71482))+~P1(f295(f126(x71483),f295(f295(f143(x71481,x71483),x71484),x71482))) % 192.26/192.34 [7159]P1(f295(f295(f182(x71591),x71592),x71593))+~P1(f295(f295(f295(f295(a184,x71591),x71592),x71594),x71593)) % 192.26/192.34 [7233]E(f158(x72331,x72332,f295(f295(f122(x72331),x72333),x72334)),f295(f295(f122(x72331),f158(x72331,x72332,x72333)),x72334))+~P1(f295(f295(f297(x72331),x72332),f295(f160(x72331),x72333))) % 192.26/192.34 [7324]~P70(x73241)+E(f46(x73241,f295(f295(f23(x73241),f46(x73241,x73242,x73243)),x73244),x73243),f46(x73241,f295(f295(f23(x73241),x73242),x73244),x73243)) % 192.26/192.34 [7327]~P69(x73271)+E(f46(x73271,f295(f295(f83(x73271),f46(x73271,x73272,x73273)),x73274),x73273),f46(x73271,f295(f295(f83(x73271),x73272),x73274),x73273)) % 192.26/192.34 [7328]~P69(x73281)+E(f46(x73281,f295(f295(f84(x73281),f46(x73281,x73282,x73283)),x73284),x73283),f46(x73281,f295(f295(f84(x73281),x73282),x73284),x73283)) % 192.26/192.34 [7524]~E(x75241,f295(f295(f140(x75242),x75243),x75244))+~P1(f295(f295(f207(a902),f295(f177(f903(x75242)),x75241)),f295(f177(f903(x75242)),x75244))) % 192.26/192.34 [7723]P24(x77231,x77232,x77233,f295(f160(x77231),x77234))+~P1(f295(f126(x77232),f295(f295(f143(x77231,x77232),x77233),x77234))) % 192.26/192.34 [7797]~P1(f295(f295(f207(f911(x77971,a897)),x77972),x77974))+P1(f295(f295(f207(f911(x77971,a897)),x77972),f295(f295(f275(x77971),x77973),x77974))) % 192.26/192.34 [7830]~P70(x78301)+E(f46(x78301,f295(f295(f23(x78301),f46(x78301,x78302,x78303)),f46(x78301,x78304,x78303)),x78303),f46(x78301,f295(f295(f23(x78301),x78302),x78304),x78303)) % 192.26/192.34 [7831]~P69(x78311)+E(f46(x78311,f295(f295(f83(x78311),f46(x78311,x78312,x78313)),f46(x78311,x78314,x78313)),x78313),f46(x78311,f295(f295(f83(x78311),x78312),x78314),x78313)) % 192.26/192.34 [7832]~P69(x78321)+E(f46(x78321,f295(f295(f84(x78321),f46(x78321,x78322,x78323)),f46(x78321,x78324,x78323)),x78323),f46(x78321,f295(f295(f84(x78321),x78322),x78324),x78323)) % 192.26/192.34 [7931]P1(f295(f295(f295(f295(a184,x79311),x79312),f295(a119,x79313)),x79314))+~P1(f295(f295(f295(f295(a184,x79311),x79312),x79313),x79314)) % 192.26/192.34 [7938]~E(f295(x79384,f871(x79384,x79383,x79381,x79382)),f214(f911(x79382,a897)))+E(f295(f295(f43(x79381,f911(x79382,a897)),x79383),x79384),f214(f911(x79382,a897))) % 192.26/192.34 [7939]~E(f295(x79394,f328(x79394,x79393,x79391,x79392)),f176(f911(x79392,a897)))+E(f295(f295(f44(x79391,f911(x79392,a897)),x79393),x79394),f176(f911(x79392,a897))) % 192.26/192.34 [7940]~E(f295(x79404,f872(x79404,x79403,x79402,x79401)),f214(f911(x79402,a897)))+E(f295(f295(f43(x79401,f911(x79402,a897)),x79403),x79404),f214(f911(x79402,a897))) % 192.26/192.34 [7941]~E(f295(x79414,f329(x79414,x79413,x79412,x79411)),f176(f911(x79412,a897)))+E(f295(f295(f44(x79411,f911(x79412,a897)),x79413),x79414),f176(f911(x79412,a897))) % 192.26/192.34 [8339]P1(f295(x83391,x83392))+~P1(f295(f295(f297(x83393),x83392),f295(f295(f108(f911(x83393,a897)),x83394),f295(f212(x83393),x83391)))) % 192.26/192.34 [8377]~P1(f295(f295(f207(f911(x83771,a897)),x83773),x83774))+P1(f295(f295(f207(f911(x83771,a897)),f295(f295(f275(x83771),x83772),x83773)),f295(f295(f275(x83771),x83772),x83774))) % 192.26/192.34 [8387]E(f295(x83871,f338(x83871,x83872,x83873)),x83873)+~P1(f295(f295(f297(x83874),x83873),f295(f276(x83872,x83874,x83871),f214(f911(x83872,a897))))) % 192.26/192.34 [8545]P1(f295(f295(f182(x85451),x85452),f423(x85453,x85452,x85454,x85451)))+~P1(f295(f295(f182(f33(x85451,x85454)),x85452),x85453)) % 192.26/192.34 [8546]P1(f295(f295(f182(x85461),x85462),f469(x85463,x85462,x85464,x85461)))+~P1(f295(f295(f182(f33(x85461,x85464)),x85462),x85463)) % 192.26/192.34 [8555]P1(f295(x85552,x85553))+E(f295(f295(f127(x85551),f295(f177(f903(x85551)),f164(x85551,x85552,f295(f295(f140(x85551),x85553),x85554)))),f295(f295(f140(x85551),x85553),x85554)),f295(f295(f140(x85551),x85553),x85554)) % 192.26/192.34 [8667]~P1(f295(f295(f208(a902),f295(x86674,x86672)),f295(x86674,x86673)))+P1(f295(f295(f297(f910(x86671,x86671)),f295(f295(f217(x86671,x86671),x86672),x86673)),f295(f295(f254(a902,x86671),a211),x86674))) % 192.26/192.34 [8769]~P1(f295(x87692,f762(x87694,x87692,x87693,x87691)))+E(f164(x87691,x87692,f295(f295(f122(x87691),x87693),x87694)),f295(f295(f122(x87691),x87693),f164(x87691,x87692,x87694))) % 192.26/192.34 [8844]P24(f903(x88441),f903(x88442),f295(f143(x88441,x88442),x88443),x88444)+~P24(x88441,x88442,x88443,f41(f911(x88441,a897),f295(f276(f903(x88441),f911(x88441,a897),f160(x88441)),x88444))) % 192.26/192.34 [8926]~P1(f295(x89262,x89263))+E(f295(f295(f127(x89261),f295(f177(f903(x89261)),f164(x89261,x89262,f295(f295(f140(x89261),x89263),x89264)))),f295(f295(f140(x89261),x89263),x89264)),f295(f295(f127(x89261),f295(f177(f903(x89261)),f164(x89261,x89262,x89264))),x89264)) % 192.26/192.34 [8964]~E(x89642,x89643)+E(f295(f125(x89641,f295(f295(f8(a897,a897,x89641),a291),f295(a292,x89642))),f295(f295(f140(x89641),x89643),x89644)),f295(f125(x89641,f295(f295(f8(a897,a897,x89641),a291),f295(a292,x89642))),x89644)) % 192.26/192.34 [8977]E(f295(f295(f43(x89771,f911(x89772,a897)),x89773),x89774),f214(f911(x89772,a897)))+P1(f295(f295(f297(x89771),f871(x89774,x89773,x89771,x89772)),x89773)) % 192.26/192.34 [8978]E(f295(f295(f44(x89781,f911(x89782,a897)),x89783),x89784),f176(f911(x89782,a897)))+P1(f295(f295(f297(x89781),f328(x89784,x89783,x89781,x89782)),x89783)) % 192.26/192.34 [8979]E(f295(f295(f43(x89791,f911(x89792,a897)),x89793),x89794),f214(f911(x89792,a897)))+P1(f295(f295(f297(x89791),f872(x89794,x89793,x89792,x89791)),x89793)) % 192.26/192.34 [8980]E(f295(f295(f44(x89801,f911(x89802,a897)),x89803),x89804),f176(f911(x89802,a897)))+P1(f295(f295(f297(x89801),f329(x89804,x89803,x89802,x89801)),x89803)) % 192.26/192.34 [9020]P1(f295(f295(f208(a902),f295(x90201,x90202)),f295(x90201,x90203)))+~P1(f295(f295(f297(f910(x90204,x90204)),f295(f295(f217(x90204,x90204),x90202),x90203)),f295(f295(f254(a902,x90204),a211),x90201))) % 192.26/192.34 [9048]E(f164(x90481,x90482,f295(f295(f122(x90481),x90483),x90484)),f295(f295(f122(x90481),x90483),f164(x90481,x90482,x90484)))+P1(f295(f295(f297(x90481),f762(x90484,x90482,x90483,x90481)),f295(f160(x90481),x90483))) % 192.26/192.34 [9089]P1(f295(f295(f182(x90891),f423(x90892,x90893,x90891,x90894)),x90892))+~P1(f295(f295(f182(f33(x90894,x90891)),x90893),x90892)) % 192.26/192.34 [9090]P1(f295(f295(f182(x90901),f469(x90902,x90903,x90901,x90904)),x90902))+~P1(f295(f295(f182(f33(x90904,x90901)),x90903),x90902)) % 192.26/192.34 [9215]P1(f295(f295(f297(x92151),f374(x92152,x92153,x92154,x92151)),x92153))+~P1(f295(f295(f297(f911(x92151,a897)),x92154),f295(f295(f61(x92151),x92153),x92152))) % 192.26/192.34 [9217]E(x92171,x92172)+~P1(f295(f295(f297(f910(x92173,x92173)),f295(f295(f217(x92173,x92173),x92171),x92172)),f295(f295(f170(f910(x92173,x92173),a897),f2(a902)),x92174))) % 192.26/192.34 [9295]E(f295(f252(x92951,x92951,x92952),f295(f295(f275(x92951),f374(x92952,x92953,x92954,x92951)),f176(f911(x92951,a897)))),x92954)+~P1(f295(f295(f297(f911(x92951,a897)),x92954),f295(f295(f61(x92951),x92953),x92952))) % 192.26/192.34 [9298]~P1(f295(f295(f297(f910(x92981,x92981)),f295(f295(f217(x92981,x92981),x92983),x92982)),f273(x92981,x92984)))+P1(f295(f295(f297(f910(x92981,x92981)),f295(f295(f217(x92981,x92981),x92982),x92983)),f273(x92981,f295(f253(x92981,x92981),x92984)))) % 192.26/192.34 [9310]~P69(x93101)+E(f295(f295(f83(x93101),f295(f295(f83(x93101),f295(f295(f84(x93101),x93102),f295(f295(f40(x93101),x93103),x93102))),f46(x93101,x93103,x93102))),x93104),f295(f295(f83(x93101),x93103),x93104)) % 192.26/192.34 [9323]~P1(f295(f295(f297(x93231),x93233),x93234))+P1(f295(f295(f297(f911(x93231,a897)),f295(f252(x93231,x93231,x93232),f295(f295(f275(x93231),x93233),f176(f911(x93231,a897))))),f295(f295(f61(x93231),x93234),x93232))) % 192.26/192.34 [9335]P1(f295(f295(f297(f910(x93351,x93351)),f295(f295(f217(x93351,x93351),x93352),x93353)),f273(x93351,x93354)))+~P1(f295(f295(f297(f910(x93351,x93351)),f295(f295(f217(x93351,x93351),x93353),x93352)),f273(x93351,f295(f253(x93351,x93351),x93354)))) % 192.26/192.34 [9421]E(f295(f295(f148(x94211,f295(f157(x94211),x94212)),f295(f295(f23(a902),f295(f295(f23(a902),f295(f177(f903(x94211)),x94212)),x94213)),f81(a902))),x94214),f295(f157(x94211),f295(f295(f148(x94211,x94212),x94213),x94214)))+~P1(f295(f295(f208(a902),x94213),f295(f177(f903(x94211)),x94212))) % 192.26/192.34 [9424]~P1(f295(x94242,f751(x94244,x94242,x94243,x94241)))+E(f295(f295(f127(x94241),f295(f177(f903(x94241)),f164(x94241,x94242,f295(f295(f122(x94241),x94243),x94244)))),f295(f295(f122(x94241),x94243),x94244)),f295(f295(f127(x94241),f295(f177(f903(x94241)),f164(x94241,x94242,x94244))),x94244)) % 192.26/192.34 [9461]~P24(x94612,x94611,x94613,f214(f911(x94612,a897)))+P1(f295(f295(f207(f911(x94611,a897)),f295(f276(x94612,x94611,x94613),f295(f82(f911(x94612,a897)),x94614))),f295(f82(f911(x94611,a897)),f295(f276(x94612,x94611,x94613),x94614)))) % 192.26/192.34 [9474]~P6(x94741)+E(f295(f131(x94741,x94742,f295(f7(x94742,x94741,x94741),f295(f295(f8(x94741,f911(x94741,x94741),x94742),f108(x94741)),x94743)),f214(x94741)),x94744),f295(f295(f43(x94742,x94741),f295(f160(x94742),x94744)),x94743)) % 192.26/192.34 [9475]~P6(x94751)+E(f295(f131(x94751,x94752,f295(f7(x94752,x94751,x94751),f295(f295(f8(x94751,f911(x94751,x94751),x94752),f117(x94751)),x94753)),f176(x94751)),x94754),f295(f295(f44(x94752,x94751),f295(f160(x94752),x94754)),x94753)) % 192.26/192.34 [9488]E(f295(f295(f127(x94881),f295(f177(f903(x94881)),f164(x94881,x94882,f295(f295(f122(x94881),x94883),x94884)))),f295(f295(f122(x94881),x94883),x94884)),f295(f295(f127(x94881),f295(f177(f903(x94881)),f164(x94881,x94882,x94884))),x94884))+P1(f295(f295(f297(x94881),f751(x94884,x94882,x94883,x94881)),f295(f160(x94881),x94883))) % 192.26/192.34 [9551]~P1(f295(f295(f297(f910(f903(x95514),f903(x95514))),f295(f295(f217(f903(x95514),f903(x95514)),x95513),x95512)),f146(x95514,x95511)))+P1(f295(f295(f208(a902),f676(x95511,x95512,x95513,x95514)),f295(f177(f903(x95514)),x95513))) % 192.26/192.34 [9552]~P69(x95521)+E(f295(f295(f83(x95521),f295(f295(f83(x95521),f295(f295(f84(x95521),f295(f295(f40(x95521),x95522),x95523)),x95523)),f46(x95521,x95522,x95523))),x95524),f295(f295(f83(x95521),x95522),x95524)) % 192.26/192.34 [9580]~P1(f295(f295(f297(f910(f903(x95801),f903(x95801))),f295(f295(f217(f903(x95801),f903(x95801)),x95802),x95803)),f295(f253(f903(x95801),f903(x95801)),f146(x95801,x95804))))+P1(f295(f295(f297(f910(f903(x95801),f903(x95801))),f295(f295(f217(f903(x95801),f903(x95801)),x95802),x95803)),f146(x95801,f295(f253(x95801,x95801),x95804)))) % 192.26/192.34 [9581]P1(f295(f295(f297(f910(f903(x95811),f903(x95811))),f295(f295(f217(f903(x95811),f903(x95811)),x95812),x95813)),f295(f253(f903(x95811),f903(x95811)),f146(x95811,x95814))))+~P1(f295(f295(f297(f910(f903(x95811),f903(x95811))),f295(f295(f217(f903(x95811),f903(x95811)),x95812),x95813)),f146(x95811,f295(f253(x95811,x95811),x95814)))) % 192.26/192.34 [9617]~P1(f295(f295(f297(x96171),x96173),f295(f215(x96171,x96172),x96174)))+P1(f295(f295(f297(f910(x96171,x96172)),f295(f295(f217(x96171,x96172),x96173),f735(x96174,x96172,x96173,x96171))),x96174)) % 192.26/192.34 [9618]~P1(f295(f295(f297(x96181),x96183),f295(f215(x96181,x96182),x96184)))+P1(f295(f295(f297(f910(x96181,x96182)),f295(f295(f217(x96181,x96182),x96183),f737(x96184,x96182,x96183,x96181))),x96184)) % 192.26/192.34 [9770]~P1(f295(f295(f297(f910(x97701,x97701)),f295(f295(f217(x97701,x97701),x97702),x97704)),f295(f295(f255(x97701,x97701,x97701),x97703),f273(x97701,x97703))))+P1(f295(f295(f297(f910(x97701,x97701)),f295(f295(f217(x97701,x97701),x97702),f792(x97703,x97704,x97702,x97701))),x97703)) % 192.26/192.34 [9939]~P1(f295(f295(f297(f910(x99392,x99391)),x99394),f295(f253(x99391,x99392),x99393)))+P1(f295(f295(f297(f910(x99391,x99392)),f295(f295(f217(x99391,x99392),f834(x99393,x99394,x99391,x99392)),f833(x99393,x99394,x99391,x99392))),x99393)) % 192.26/192.34 [9963]~P1(f295(f295(f297(f910(f903(x99631),f903(x99631))),f295(f295(f217(f903(x99631),f903(x99631)),x99634),x99633)),f146(x99631,x99632)))+P1(f295(f295(f297(f910(x99631,x99631)),f295(f295(f217(x99631,x99631),f651(x99632,x99633,x99634,x99631)),f656(x99632,x99633,x99634,x99631))),x99632)) % 192.26/192.34 [10058]~P1(f295(f295(f297(f910(f903(x100581),f903(x100581))),f295(f295(f217(f903(x100581),f903(x100581)),x100582),x100584)),f146(x100581,x100583)))+P1(f295(f295(f297(f910(x100581,x100581)),f295(f295(f217(x100581,x100581),f295(f295(f153(x100581),x100582),f676(x100583,x100584,x100582,x100581))),f677(x100583,x100584,x100582,x100581))),x100583)) % 192.26/192.34 [10078]~P1(f295(f62(x100782),x100784))+E(f295(f295(f295(f66(f911(x100781,a897),x100782,f117(f911(x100781,a897))),f295(f295(f7(x100782,f911(x100781,a897),f911(x100781,a897)),f295(f295(f8(x100781,f911(f911(x100781,a897),f911(x100781,a897)),x100782),f275(x100781)),x100783)),f176(f911(x100781,a897)))),f176(f911(x100781,a897))),x100784),f295(f276(x100782,x100781,x100783),x100784)) % 192.26/192.34 [10188]~P24(x101881,x101882,x101883,f214(f911(x101881,a897)))+P1(f295(f295(f207(f911(x101881,a897)),f295(f278(x101881,x101882,x101883),f295(f295(f275(x101882),x101884),f176(f911(x101882,a897))))),f295(f295(f275(x101881),f88(x101881,f295(f295(f7(x101881,x101882,a897),f295(f295(f8(x101882,f911(x101882,a897),x101881),a292),x101883)),x101884))),f176(f911(x101881,a897))))) % 192.26/192.34 [5791]~E(f295(f295(f122(x57911),x57912),x57914),x57913)+E(f295(f295(f161(x57911),f295(f177(f903(x57911)),x57912)),x57913),x57912) % 192.26/192.34 [5792]~E(f295(f295(f122(x57922),x57923),x57921),x57924)+E(x57921,f295(f295(f127(x57922),f295(f177(f903(x57922)),x57923)),x57924)) % 192.26/192.34 [5803]~E(x58034,f2(a902))+E(f295(f295(f153(x58031),f295(f295(f140(x58031),x58032),x58033)),x58034),x58032) % 192.26/192.34 [6326]~P123(x63261)+E(f295(f295(f218(x63261),f295(f295(f218(x63261),x63262),x63263)),x63264),f295(f295(f218(x63261),x63262),f295(f295(f84(a902),x63263),x63264))) % 192.26/192.34 [6327]~P90(x63271)+E(f295(f295(f218(x63271),f295(f295(f218(x63271),x63272),x63273)),x63274),f295(f295(f218(x63271),x63272),f295(f295(f84(a902),x63273),x63274))) % 192.26/192.34 [6335]E(x63351,f2(a902))+E(f295(f295(f153(x63352),f295(f295(f140(x63352),x63353),x63354)),x63351),f295(f295(f153(x63352),x63354),f295(f295(f23(a902),x63351),f81(a902)))) % 192.26/192.34 [6361]~P126(x63611)+E(f295(f295(f256(x63611),f295(f295(f84(x63611),x63612),x63613)),x63614),f295(f295(f84(x63611),x63612),f295(f295(f256(x63611),x63613),x63614))) % 192.26/192.34 [6362]~P99(x63621)+E(f295(f295(f117(x63621),f295(f295(f117(x63621),x63622),x63623)),x63624),f295(f295(f117(x63621),x63622),f295(f295(f117(x63621),x63623),x63624))) % 192.26/192.34 [6364]~P109(x63641)+E(f295(f295(f117(x63641),f295(f295(f117(x63641),x63642),x63643)),x63644),f295(f295(f117(x63641),x63642),f295(f295(f117(x63641),x63643),x63644))) % 192.26/192.34 [6365]~P99(x63651)+E(f295(f295(f108(x63651),f295(f295(f108(x63651),x63652),x63653)),x63654),f295(f295(f108(x63651),x63652),f295(f295(f108(x63651),x63653),x63654))) % 192.26/192.34 [6367]~P110(x63671)+E(f295(f295(f108(x63671),f295(f295(f108(x63671),x63672),x63673)),x63674),f295(f295(f108(x63671),x63672),f295(f295(f108(x63671),x63673),x63674))) % 192.26/192.34 [6368]~P80(x63681)+E(f295(f295(f83(x63681),f295(f295(f83(x63681),x63682),x63683)),x63684),f295(f295(f83(x63681),x63682),f295(f295(f83(x63681),x63683),x63684))) % 192.26/192.34 [6369]~P123(x63691)+E(f295(f295(f83(x63691),f295(f295(f83(x63691),x63692),x63693)),x63694),f295(f295(f83(x63691),x63692),f295(f295(f83(x63691),x63693),x63694))) % 192.26/192.34 [6371]~P114(x63711)+E(f295(f295(f205(x63711),f295(f295(f205(x63711),x63712),x63713)),x63714),f295(f295(f205(x63711),x63712),f295(f295(f205(x63711),x63713),x63714))) % 192.26/192.34 [6373]~P114(x63731)+E(f295(f295(f206(x63731),f295(f295(f206(x63731),x63732),x63733)),x63734),f295(f295(f206(x63731),x63732),f295(f295(f206(x63731),x63733),x63734))) % 192.26/192.34 [6375]~P123(x63751)+E(f295(f295(f84(x63751),f295(f295(f84(x63751),x63752),x63753)),x63754),f295(f295(f84(x63751),x63752),f295(f295(f84(x63751),x63753),x63754))) % 192.26/192.34 [6376]~P81(x63761)+E(f295(f295(f84(x63761),f295(f295(f84(x63761),x63762),x63763)),x63764),f295(f295(f84(x63761),x63762),f295(f295(f84(x63761),x63763),x63764))) % 192.26/192.34 [6385]~P69(x63851)+E(f46(x63851,f295(f295(f83(x63851),x63852),f295(f295(f84(x63851),x63853),x63854)),x63854),f46(x63851,x63852,x63854)) % 192.26/192.34 [6386]~P69(x63861)+E(f46(x63861,f295(f295(f83(x63861),x63862),f295(f295(f84(x63861),x63863),x63864)),x63863),f46(x63861,x63862,x63863)) % 192.26/192.34 [6523]E(f295(f295(f153(x65231),f295(f295(f161(x65231),x65232),x65233)),x65234),f295(f295(f153(x65231),x65233),x65234))+~P1(f295(f295(f208(a902),x65234),x65232)) % 192.26/192.34 [6699]~P123(x66991)+E(f295(f295(f83(x66991),f295(f295(f83(x66991),x66992),x66993)),x66994),f295(f295(f83(x66991),f295(f295(f83(x66991),x66992),x66994)),x66993)) % 192.26/192.34 [6700]~P123(x67001)+E(f295(f295(f84(x67001),f295(f295(f84(x67001),x67002),x67003)),x67004),f295(f295(f84(x67001),f295(f295(f84(x67001),x67002),x67004)),x67003)) % 192.26/192.34 [6759]~P118(x67592)+E(f295(f295(f6(x67591,x67592),f295(f16(x67592,x67591),x67593)),x67594),f295(f295(f84(x67592),f295(f107(x67592),f295(f39(x67591),x67594))),x67593)) % 192.26/192.34 [6922]E(f295(f295(f108(f911(x69221,a897)),f295(f295(f275(x69221),x69222),x69223)),x69224),f295(f295(f108(f911(x69221,a897)),x69223),x69224))+P1(f295(f295(f297(x69221),x69222),x69224)) % 192.26/192.34 [6988]~P108(x69881)+E(f295(f295(f108(x69881),f295(f295(f117(x69881),x69882),x69883)),f295(f295(f117(x69881),x69884),x69883)),f295(f295(f117(x69881),f295(f295(f108(x69881),x69882),x69884)),x69883)) % 192.26/192.34 [6989]~P108(x69891)+E(f295(f295(f117(x69891),f295(f295(f108(x69891),x69892),x69893)),f295(f295(f108(x69891),x69894),x69893)),f295(f295(f108(x69891),f295(f295(f117(x69891),x69892),x69894)),x69893)) % 192.26/192.34 [6990]~P87(x69901)+E(f295(f295(f205(x69901),f295(f295(f23(x69901),x69902),x69903)),f295(f295(f23(x69901),x69904),x69903)),f295(f295(f23(x69901),f295(f295(f205(x69901),x69902),x69904)),x69903)) % 192.26/192.34 [6991]~P87(x69911)+E(f295(f295(f206(x69911),f295(f295(f23(x69911),x69912),x69913)),f295(f295(f23(x69911),x69914),x69913)),f295(f295(f23(x69911),f295(f295(f206(x69911),x69912),x69914)),x69913)) % 192.26/192.34 [6992]~P95(x69921)+E(f295(f295(f205(x69921),f295(f295(f83(x69921),x69922),x69923)),f295(f295(f83(x69921),x69924),x69923)),f295(f295(f83(x69921),f295(f295(f205(x69921),x69922),x69924)),x69923)) % 192.26/192.34 [6993]~P95(x69931)+E(f295(f295(f206(x69931),f295(f295(f83(x69931),x69932),x69933)),f295(f295(f83(x69931),x69934),x69933)),f295(f295(f83(x69931),f295(f295(f206(x69931),x69932),x69934)),x69933)) % 192.26/192.34 [6994]~P114(x69941)+E(f295(f295(f206(x69941),f295(f295(f205(x69941),x69942),x69943)),f295(f295(f205(x69941),x69944),x69943)),f295(f295(f205(x69941),f295(f295(f206(x69941),x69942),x69944)),x69943)) % 192.26/192.34 [6995]~P114(x69951)+E(f295(f295(f205(x69951),f295(f295(f206(x69951),x69952),x69953)),f295(f295(f206(x69951),x69954),x69953)),f295(f295(f206(x69951),f295(f295(f205(x69951),x69952),x69954)),x69953)) % 192.26/192.34 [6996]~P123(x69961)+E(f295(f295(f84(x69961),f295(f295(f218(x69961),x69962),x69963)),f295(f295(f218(x69961),x69964),x69963)),f295(f295(f218(x69961),f295(f295(f84(x69961),x69962),x69964)),x69963)) % 192.26/192.34 [6997]~P83(x69971)+E(f295(f295(f84(x69971),f295(f295(f218(x69971),x69972),x69973)),f295(f295(f218(x69971),x69974),x69973)),f295(f295(f218(x69971),f295(f295(f84(x69971),x69972),x69974)),x69973)) % 192.26/192.34 [6998]~P72(x69981)+E(f295(f295(f256(x69981),f295(f295(f218(x69981),x69982),x69983)),f295(f295(f218(x69981),x69984),x69983)),f295(f295(f218(x69981),f295(f295(f256(x69981),x69982),x69984)),x69983)) % 192.26/192.34 [7000]~P124(x70001)+E(f295(f295(f83(x70001),f295(f295(f84(x70001),x70002),x70003)),f295(f295(f84(x70001),x70004),x70003)),f295(f295(f84(x70001),f295(f295(f83(x70001),x70002),x70004)),x70003)) % 192.26/192.34 [7001]~P126(x70011)+E(f295(f295(f23(x70011),f295(f295(f256(x70011),x70012),x70013)),f295(f295(f256(x70011),x70014),x70013)),f295(f295(f256(x70011),f295(f295(f23(x70011),x70012),x70014)),x70013)) % 192.26/192.34 [7002]~P126(x70021)+E(f295(f295(f83(x70021),f295(f295(f256(x70021),x70022),x70023)),f295(f295(f256(x70021),x70024),x70023)),f295(f295(f256(x70021),f295(f295(f83(x70021),x70022),x70024)),x70023)) % 192.26/192.34 [7003]~P123(x70031)+E(f295(f295(f83(x70031),f295(f295(f84(x70031),x70032),x70033)),f295(f295(f84(x70031),x70034),x70033)),f295(f295(f84(x70031),f295(f295(f83(x70031),x70032),x70034)),x70033)) % 192.26/192.34 [7036]E(f295(f295(f148(x70361,x70362),x70363),x70364),x70362)+~P1(f295(f295(f207(a902),f295(f177(f903(x70361)),x70362)),x70363)) % 192.26/192.34 [7061]~P1(f295(x70613,x70614))+P1(f295(f295(f295(f117(f911(x70611,a897)),x70612),x70613),x70614)) % 192.26/192.34 [7063]~P1(f295(x70632,x70634))+P1(f295(f295(f295(f117(f911(x70631,a897)),x70632),x70633),x70634)) % 192.26/192.34 [7083]E(f295(f295(f153(x70831),f295(f295(f122(x70831),x70832),x70833)),x70834),f295(f295(f153(x70831),x70832),x70834))+~P1(f295(f295(f208(a902),x70834),f295(f177(f903(x70831)),x70832))) % 192.26/192.34 [7094]E(f295(f295(f23(f911(x70941,a897)),f295(f295(f275(x70941),x70942),x70943)),x70944),f295(f295(f23(f911(x70941,a897)),x70943),x70944))+~P1(f295(f295(f297(x70941),x70942),x70944)) % 192.26/192.34 [7135]~E(f128(a902,f295(f268(a902,x71351),x71352)),f295(f295(f140(a902),x71354),x71353))+E(f128(a902,f295(f268(a902,f295(f295(f83(a902),x71351),f81(a902))),x71352)),x71353) % 192.26/192.34 [7207]E(x72071,f2(a902))+E(f295(f295(f140(x72072),x72073),f295(f295(f161(x72072),f295(f295(f23(a902),x72071),f81(a902))),x72074)),f295(f295(f161(x72072),x72071),f295(f295(f140(x72072),x72073),x72074))) % 192.26/192.34 [7309]E(f295(f295(f153(x73091),x73092),f295(f295(f23(a902),x73093),f295(f177(f903(x73091)),x73094))),f295(f295(f153(x73091),f295(f295(f122(x73091),x73094),x73092)),x73093))+P1(f295(f295(f208(a902),x73093),f295(f177(f903(x73091)),x73094))) % 192.26/192.34 [7338]E(f295(f295(f108(f911(x73381,a897)),x73382),f295(f295(f275(x73381),x73383),x73384)),f295(f295(f275(x73381),x73383),f295(f295(f108(f911(x73381,a897)),x73382),x73384)))+~P1(f295(f295(f297(x73381),x73383),x73382)) % 192.26/192.34 [7377]E(f295(f295(f153(x73771),f295(f295(f148(x73771,x73772),x73773),x73774)),x73773),x73774)+~P1(f295(f295(f208(a902),x73773),f295(f177(f903(x73771)),x73772))) % 192.26/192.34 [7400]E(x74001,f176(f911(x74002,a897)))+E(f295(f276(f910(x74003,x74002),x74003,f216(x74003,x74002)),f295(f295(f226(x74003,x74002),x74004),f295(f16(f911(x74002,a897),x74003),x74001))),x74004) % 192.26/192.34 [7401]E(x74011,f176(f911(x74012,a897)))+E(f295(f276(f910(x74012,x74013),x74013,f227(x74012,x74013)),f295(f295(f226(x74012,x74013),x74011),f295(f16(f911(x74013,a897),x74012),x74014))),x74014) % 192.26/192.34 [7471]E(f295(f295(f23(f911(x74711,a897)),f295(f295(f275(x74711),x74712),x74713)),x74714),f295(f295(f275(x74711),x74712),f295(f295(f23(f911(x74711,a897)),x74713),x74714)))+P1(f295(f295(f297(x74711),x74712),x74714)) % 192.26/192.34 [7502]P1(f295(x75021,x75022))+P1(f295(f295(f295(f295(a184,f32(x75021,x75023)),x75022),x75024),x75022)) % 192.26/192.34 [7509]~E(x75094,f176(f911(x75092,a897)))+E(f295(f276(f910(x75091,x75092),x75091,f216(x75091,x75092)),f295(f295(f226(x75091,x75092),x75093),f295(f16(f911(x75092,a897),x75091),x75094))),f176(f911(x75091,a897))) % 192.26/192.34 [7510]~E(x75103,f176(f911(x75101,a897)))+E(f295(f276(f910(x75101,x75102),x75102,f227(x75101,x75102)),f295(f295(f226(x75101,x75102),x75103),f295(f16(f911(x75102,a897),x75101),x75104))),f176(f911(x75102,a897))) % 192.26/192.34 [7563]~P1(f295(f295(f297(x75631),x75632),x75634))+P1(f295(f295(f297(x75631),x75632),f295(f295(f117(f911(x75631,a897)),x75633),x75634))) % 192.26/192.34 [7566]~P1(f295(f295(f297(x75661),x75662),x75663))+P1(f295(f295(f297(x75661),x75662),f295(f295(f117(f911(x75661,a897)),x75663),x75664))) % 192.26/192.34 [7583]E(f295(f295(f108(f911(x75831,a897)),f295(f295(f275(x75831),x75832),x75833)),x75834),f295(f295(f275(x75831),x75832),f295(f295(f108(f911(x75831,a897)),x75833),x75834)))+~P1(f295(f295(f297(x75831),x75832),x75834)) % 192.26/192.34 [7856]P1(f295(x78561,x78562))+~P1(f295(f295(f295(f108(f911(x78563,a897)),x78564),x78561),x78562)) % 192.26/192.34 [7857]P1(f295(x78571,x78572))+~P1(f295(f295(f295(f108(f911(x78573,a897)),x78571),x78574),x78572)) % 192.26/192.34 [7858]E(f295(f295(f6(x78581,a902),x78582),f295(f295(f23(f911(x78581,a897)),x78583),f295(f295(f275(x78581),x78584),f176(f911(x78581,a897))))),f295(f295(f6(x78581,a902),x78582),x78583))+P1(f295(f295(f297(x78581),x78584),x78583)) % 192.26/192.34 [7864]~P77(x78641)+E(f295(f154(x78641),f295(f295(f143(a902,x78641),x78642),f128(a902,f295(f268(a902,x78643),x78644)))),f295(f295(f6(a902,x78641),x78642),f295(f160(a902),f128(a902,f295(f268(a902,x78643),x78644))))) % 192.26/192.34 [7865]~P77(x78651)+E(f295(f295(f6(a902,x78651),x78652),f295(f160(a902),f128(a902,f295(f268(a902,x78653),x78654)))),f295(f154(x78651),f295(f295(f143(a902,x78651),x78652),f128(a902,f295(f268(a902,x78653),x78654))))) % 192.26/192.34 [7977]~E(x79773,x79774)+P1(f295(f63(x79771,x79772,f295(f295(f275(x79771),x79773),f176(f911(x79771,a897)))),x79774)) % 192.26/192.34 [8074]P1(f295(f295(f297(x80741),x80742),f295(f160(x80741),x80743)))+~P1(f295(f295(f297(x80741),x80742),f295(f160(x80741),f295(f295(f161(x80741),x80744),x80743)))) % 192.26/192.34 [8075]P1(f295(f295(f297(x80751),x80752),f295(f160(x80751),x80753)))+~P1(f295(f295(f297(x80751),x80752),f295(f160(x80751),f295(f295(f127(x80751),x80754),x80753)))) % 192.26/192.34 [8151]P1(f295(f295(f297(x81511),x81512),x81513))+~P1(f295(f295(f297(x81511),x81512),f295(f295(f108(f911(x81511,a897)),x81514),x81513))) % 192.26/192.34 [8154]P1(f295(f295(f297(x81541),x81542),x81543))+~P1(f295(f295(f297(x81541),x81542),f295(f295(f108(f911(x81541,a897)),x81543),x81544))) % 192.26/192.34 [8157]P1(f295(f295(f297(x81571),x81572),x81573))+~P1(f295(f295(f297(x81571),x81572),f295(f295(f23(f911(x81571,a897)),x81573),x81574))) % 192.26/192.34 [8176]E(f295(f295(f122(x81761),f295(f295(f161(x81761),x81762),x81763)),f295(f295(f140(x81761),x81764),f295(f295(f127(x81761),f295(a119,x81762)),x81763))),f295(f295(f148(x81761,x81763),x81762),x81764))+~P1(f295(f295(f208(a902),x81762),f295(f177(f903(x81761)),x81763))) % 192.26/192.34 [8200]P1(f295(f295(f297(x82001),x82002),x82003))+~P1(f295(f295(f207(f911(x82001,a897)),f295(f295(f275(x82001),x82002),x82004)),x82003)) % 192.26/192.34 [8237]~P1(f295(f295(f297(x82371),x82372),x82373))+~P1(f295(f295(f297(x82371),x82372),f295(f295(f23(f911(x82371,a897)),x82374),x82373))) % 192.26/192.34 [8268]~P1(f295(f295(f208(a902),x82684),f295(f177(f903(x82681)),x82683)))+P1(f295(f295(f297(x82681),x82682),f295(f160(x82681),f295(f295(f148(x82681,x82683),x82684),x82682)))) % 192.26/192.34 [8318]E(f295(f295(f153(x83181),f295(f295(f127(x83181),x83182),x83183)),x83184),f295(f295(f153(x83181),x83183),f295(f295(f83(a902),x83182),x83184)))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),x83182),x83184)),f295(f177(f903(x83181)),x83183))) % 192.26/192.34 [8327]~P118(x83272)+E(f295(f295(f6(x83271,x83272),f295(f295(f8(a902,x83272,x83271),f107(x83272)),x83273)),x83274),f295(f107(x83272),f295(f295(f6(x83271,a902),x83273),x83274))) % 192.26/192.34 [8328]~P145(x83282)+E(f295(f295(f6(x83281,x83282),f295(f295(f8(a1,x83282,x83281),f109(x83282)),x83283)),x83284),f295(f109(x83282),f295(f295(f6(x83281,a1),x83283),x83284))) % 192.26/192.34 [8379]~P75(x83792)+E(f295(f295(f9(x83791,x83792),f295(f295(f8(x83792,x83792,x83791),f77(x83792)),x83793)),x83794),f295(f77(x83792),f295(f295(f9(x83791,x83792),x83793),x83794))) % 192.26/192.34 [8380]~P67(x83802)+E(f295(f295(f6(x83801,x83802),f295(f295(f8(x83802,x83802,x83801),f82(x83802)),x83803)),x83804),f295(f82(x83802),f295(f295(f6(x83801,x83802),x83803),x83804))) % 192.26/192.34 [8382]E(f295(f295(f6(x83821,a902),x83822),f295(f295(f23(f911(x83821,a897)),x83823),f295(f295(f275(x83821),x83824),f176(f911(x83821,a897))))),f295(f295(f23(a902),f295(f295(f6(x83821,a902),x83822),x83823)),f295(x83822,x83824)))+~P1(f295(f295(f297(x83821),x83824),x83823)) % 192.26/192.34 [8402]P1(f295(f295(f207(f911(x84021,a897)),x84022),x84023))+~P1(f295(f295(f207(f911(x84021,a897)),f295(f295(f275(x84021),x84024),x84022)),x84023)) % 192.26/192.34 [8524]~E(f295(f276(x85242,x85243,x85241),f214(f911(x85242,a897))),f214(f911(x85243,a897)))+E(f295(x85241,f295(f94(x85242,x85243,f214(f911(x85242,a897)),x85241),x85244)),x85244) % 192.26/192.34 [8610]P36(x86101,x86102)+~P36(x86101,f295(f295(f275(f910(x86101,x86101)),f295(f295(f217(x86101,x86101),x86103),x86104)),x86102)) % 192.26/192.34 [8611]P63(x86111,x86112)+~P63(x86111,f295(f295(f275(f910(x86111,x86111)),f295(f295(f217(x86111,x86111),x86113),x86114)),x86112)) % 192.26/192.34 [8619]~P114(x86191)+E(f295(f295(f137(x86191,x86191,f5(x86191)),x86192),f295(f295(f137(x86191,x86191,f5(x86191)),x86193),x86194)),f295(f295(f137(x86191,x86191,f5(x86191)),x86193),f295(f295(f137(x86191,x86191,f5(x86191)),x86192),x86194))) % 192.26/192.34 [8631]E(x86311,x86312)+~P1(f295(f63(x86313,x86314,f295(f295(f275(x86313),x86311),f176(f911(x86313,a897)))),x86312)) % 192.26/192.34 [8640]E(f295(f295(f122(x86401),f295(f295(f161(x86401),x86402),x86403)),f295(f295(f161(x86401),x86404),f295(f295(f127(x86401),x86402),x86403))),f295(f295(f161(x86401),f295(f295(f83(a902),x86402),x86404)),x86403))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),x86402),x86404)),f295(f177(f903(x86401)),x86403))) % 192.26/192.34 [8681]P1(f295(f62(x86811),x86812))+~E(x86812,f295(f276(a902,x86811,x86813),f295(f212(a902),f295(f295(f7(a902,a902,a897),f208(a902)),x86814)))) % 192.26/192.34 [8701]~P97(x87011)+E(f295(f131(x87011,x87011,f83(x87011),f295(f295(f83(x87011),x87012),x87013)),x87014),f295(f295(f83(x87011),x87012),f295(f131(x87011,x87011,f83(x87011),x87013),x87014))) % 192.26/192.34 [8738]P1(f295(f295(f207(f911(x87381,a897)),f295(f215(x87381,x87382),x87383)),f295(f215(x87381,x87382),x87384)))+~P1(f295(f295(f207(f911(f910(x87381,x87382),a897)),x87383),x87384)) % 192.26/192.34 [8750]~P1(f295(f295(f207(a902),x87502),x87504))+P1(f295(f295(f207(f911(x87501,a897)),f295(f160(x87501),f295(f295(f161(x87501),x87502),x87503))),f295(f160(x87501),f295(f295(f161(x87501),x87504),x87503)))) % 192.26/192.34 [8751]~P1(f295(f295(f207(a902),x87514),x87512))+P1(f295(f295(f207(f911(x87511,a897)),f295(f160(x87511),f295(f295(f127(x87511),x87512),x87513))),f295(f160(x87511),f295(f295(f127(x87511),x87514),x87513)))) % 192.26/192.34 [8819]~P1(f295(f62(x88191),f295(f295(f23(f911(x88191,a897)),x88192),x88194)))+P1(f295(f62(x88191),f295(f295(f23(f911(x88191,a897)),x88192),f295(f295(f275(x88191),x88193),x88194)))) % 192.26/192.34 [8855]P1(f295(f295(f297(f910(x88551,x88551)),x88552),f273(x88551,x88553)))+~P1(f295(f295(f297(f910(x88551,x88551)),x88552),f295(f295(f170(f910(x88551,x88551),a897),x88554),x88553))) % 192.26/192.34 [8948]~P1(f295(f62(x89481),f295(f295(f23(f911(x89481,a897)),x89482),f295(f295(f275(x89481),x89484),x89483))))+P1(f295(f62(x89481),f295(f295(f23(f911(x89481,a897)),x89482),x89483))) % 192.26/192.34 [9175]~P99(x91751)+P1(f295(f295(f207(x91751),f295(f295(f117(x91751),x91752),f295(f295(f108(x91751),x91753),x91754))),f295(f295(f108(x91751),f295(f295(f117(x91751),x91752),x91753)),f295(f295(f117(x91751),x91752),x91754)))) % 192.26/192.34 [9176]~P114(x91761)+P1(f295(f295(f207(x91761),f295(f295(f206(x91761),x91762),f295(f295(f205(x91761),x91763),x91764))),f295(f295(f205(x91761),f295(f295(f206(x91761),x91762),x91763)),f295(f295(f206(x91761),x91762),x91764)))) % 192.26/192.34 [9318]E(x93181,x93182)+~P1(f295(f295(f297(f910(x93183,x93183)),f295(f295(f217(x93183,x93183),x93181),x93182)),f295(f160(f910(x93183,x93183)),f295(f295(f168(x93183,x93183),x93184),x93184)))) % 192.26/192.34 [9349]~P1(f295(f295(f297(f910(x93491,x93491)),f295(f295(f217(x93491,x93491),x93493),x93492)),f273(x93491,x93494)))+~P36(x93491,f295(f295(f275(f910(x93491,x93491)),f295(f295(f217(x93491,x93491),x93492),x93493)),x93494)) % 192.26/192.34 [9350]~P1(f295(f295(f297(f910(x93501,x93501)),f295(f295(f217(x93501,x93501),x93503),x93502)),f273(x93501,x93504)))+~P63(x93501,f295(f295(f275(f910(x93501,x93501)),f295(f295(f217(x93501,x93501),x93502),x93503)),x93504)) % 192.26/192.34 [9355]E(x93551,x93552)+E(f295(f125(x93553,f295(f295(f8(a897,a897,x93553),a291),f295(a292,x93551))),f295(f295(f140(x93553),x93552),x93554)),f295(f295(f140(x93553),x93552),f295(f125(x93553,f295(f295(f8(a897,a897,x93553),a291),f295(a292,x93551))),x93554))) % 192.26/192.34 [9393]~P99(x93931)+P1(f295(f295(f207(x93931),f295(f295(f117(x93931),f295(f295(f108(x93931),x93932),x93933)),f295(f295(f108(x93931),x93932),x93934))),f295(f295(f108(x93931),x93932),f295(f295(f117(x93931),x93933),x93934)))) % 192.26/192.34 [9394]~P114(x93941)+P1(f295(f295(f207(x93941),f295(f295(f206(x93941),f295(f295(f205(x93941),x93942),x93943)),f295(f295(f205(x93941),x93942),x93944))),f295(f295(f205(x93941),x93942),f295(f295(f206(x93941),x93943),x93944)))) % 192.26/192.34 [9470]~E(f295(f276(x94702,x94701,x94703),f214(f911(x94702,a897))),f214(f911(x94701,a897)))+P1(f295(f295(f207(f911(x94701,a897)),f295(f82(f911(x94701,a897)),f295(f276(x94702,x94701,x94703),x94704))),f295(f276(x94702,x94701,x94703),f295(f82(f911(x94702,a897)),x94704)))) % 192.26/192.34 [9782]P1(f295(f295(f297(f910(x97821,x97821)),f295(f295(f217(x97821,x97821),x97822),x97823)),f295(f253(x97821,x97821),f295(f295(f255(x97821,x97821,x97821),x97824),f273(x97821,x97824)))))+~P1(f295(f295(f297(f910(x97821,x97821)),f295(f295(f217(x97821,x97821),x97822),x97823)),f295(f295(f255(x97821,x97821,x97821),f295(f253(x97821,x97821),x97824)),f273(x97821,f295(f253(x97821,x97821),x97824))))) % 192.26/192.34 [9783]~P1(f295(f295(f297(f910(x97831,x97831)),f295(f295(f217(x97831,x97831),x97832),x97833)),f295(f253(x97831,x97831),f295(f295(f255(x97831,x97831,x97831),x97834),f273(x97831,x97834)))))+P1(f295(f295(f297(f910(x97831,x97831)),f295(f295(f217(x97831,x97831),x97832),x97833)),f295(f295(f255(x97831,x97831,x97831),f295(f253(x97831,x97831),x97834)),f273(x97831,f295(f253(x97831,x97831),x97834))))) % 192.26/192.34 [9804]~P1(f295(f295(f297(x98042),x98044),f295(f251(x98041,x98042),x98043)))+P1(f295(f295(f297(f910(x98041,x98042)),f295(f295(f217(x98041,x98042),f732(x98043,x98041,x98044,x98042)),x98044)),x98043)) % 192.26/192.34 [9805]~P1(f295(f295(f297(x98052),x98054),f295(f251(x98051,x98052),x98053)))+P1(f295(f295(f297(f910(x98051,x98052)),f295(f295(f217(x98051,x98052),f733(x98053,x98051,x98054,x98052)),x98054)),x98053)) % 192.26/192.34 [9835]~P1(f295(f295(f297(x98351),x98354),f295(f295(f117(f911(x98351,a897)),x98352),x98353)))+P1(f295(f295(f295(f117(f911(x98351,a897)),f295(f295(f7(x98351,f911(x98351,a897),a897),f297(x98351)),x98352)),f295(f295(f7(x98351,f911(x98351,a897),a897),f297(x98351)),x98353)),x98354)) % 192.26/192.34 [9836]~P1(f295(f295(f297(x98361),x98364),f295(f295(f108(f911(x98361,a897)),x98362),x98363)))+P1(f295(f295(f295(f108(f911(x98361,a897)),f295(f295(f7(x98361,f911(x98361,a897),a897),f297(x98361)),x98362)),f295(f295(f7(x98361,f911(x98361,a897),a897),f297(x98361)),x98363)),x98364)) % 192.26/192.34 [9918]~P1(f295(f295(f297(f910(x99181,x99181)),f295(f295(f217(x99181,x99181),x99184),x99183)),f295(f295(f255(x99181,x99181,x99181),x99182),f273(x99181,x99182))))+P1(f295(f295(f297(f910(x99181,x99181)),f295(f295(f217(x99181,x99181),f793(x99182,x99183,x99184,x99181)),x99183)),x99182)) % 192.26/192.34 [9950]P1(f295(f295(f297(x99501),x99502),f295(f295(f117(f911(x99501,a897)),x99503),x99504)))+~P1(f295(f295(f295(f117(f911(x99501,a897)),f295(f295(f7(x99501,f911(x99501,a897),a897),f297(x99501)),x99503)),f295(f295(f7(x99501,f911(x99501,a897),a897),f297(x99501)),x99504)),x99502)) % 192.26/192.34 [9951]P1(f295(f295(f297(x99511),x99512),f295(f295(f108(f911(x99511,a897)),x99513),x99514)))+~P1(f295(f295(f295(f108(f911(x99511,a897)),f295(f295(f7(x99511,f911(x99511,a897),a897),f297(x99511)),x99513)),f295(f295(f7(x99511,f911(x99511,a897),a897),f297(x99511)),x99514)),x99512)) % 192.26/192.34 [10277]P31(x102771,f295(f295(f7(x102771,f911(f910(x102771,x102771),a897),f911(x102771,a897)),f295(f295(f8(f911(x102771,f911(f911(f910(x102771,x102771),a897),a897)),f911(f911(f910(x102771,x102771),a897),f911(x102771,a897)),x102771),f7(x102771,f911(f910(x102771,x102771),a897),a897)),f295(f295(f8(f911(x102771,f910(x102771,x102771)),f911(x102771,f911(f911(f910(x102771,x102771),a897),a897)),x102771),f295(f8(f910(x102771,x102771),f911(f911(f910(x102771,x102771),a897),a897),x102771),f297(f910(x102771,x102771)))),f217(x102771,x102771)))),x102772),x102773,x102774)+~P1(f295(f295(f297(f910(f903(x102771),f903(x102771))),f295(f295(f217(f903(x102771),f903(x102771)),x102773),x102774)),f147(x102771,x102772))) % 192.26/192.34 [10282]P64(x102821,f295(f295(f7(x102821,f911(f910(x102821,x102821),a897),f911(x102821,a897)),f295(f295(f8(f911(x102821,f911(f911(f910(x102821,x102821),a897),a897)),f911(f911(f910(x102821,x102821),a897),f911(x102821,a897)),x102821),f7(x102821,f911(f910(x102821,x102821),a897),a897)),f295(f295(f8(f911(x102821,f910(x102821,x102821)),f911(x102821,f911(f911(f910(x102821,x102821),a897),a897)),x102821),f295(f8(f910(x102821,x102821),f911(f911(f910(x102821,x102821),a897),a897),x102821),f297(f910(x102821,x102821)))),f217(x102821,x102821)))),x102822),x102823,x102824)+~P1(f295(f295(f297(f910(f911(x102821,a897),f911(x102821,a897))),f295(f295(f217(f911(x102821,a897),f911(x102821,a897)),x102823),x102824)),f287(x102821,x102822))) % 192.26/192.34 [10319]E(x103191,x103192)+~E(f295(f295(f7(x103193,f911(f910(x103193,x103194),a897),f911(x103194,a897)),f295(f295(f8(f911(x103194,f911(f911(f910(x103193,x103194),a897),a897)),f911(f911(f910(x103193,x103194),a897),f911(x103194,a897)),x103193),f7(x103194,f911(f910(x103193,x103194),a897),a897)),f295(f295(f8(f911(x103194,f910(x103193,x103194)),f911(x103194,f911(f911(f910(x103193,x103194),a897),a897)),x103193),f295(f8(f910(x103193,x103194),f911(f911(f910(x103193,x103194),a897),a897),x103194),f297(f910(x103193,x103194)))),f217(x103193,x103194)))),x103191),f295(f295(f7(x103193,f911(f910(x103193,x103194),a897),f911(x103194,a897)),f295(f295(f8(f911(x103194,f911(f911(f910(x103193,x103194),a897),a897)),f911(f911(f910(x103193,x103194),a897),f911(x103194,a897)),x103193),f7(x103194,f911(f910(x103193,x103194),a897),a897)),f295(f295(f8(f911(x103194,f910(x103193,x103194)),f911(x103194,f911(f911(f910(x103193,x103194),a897),a897)),x103193),f295(f8(f910(x103193,x103194),f911(f911(f910(x103193,x103194),a897),a897),x103194),f297(f910(x103193,x103194)))),f217(x103193,x103194)))),x103192)) % 192.26/192.34 [10323]~P31(x103231,f295(f295(f7(x103231,f911(f910(x103231,x103231),a897),f911(x103231,a897)),f295(f295(f8(f911(x103231,f911(f911(f910(x103231,x103231),a897),a897)),f911(f911(f910(x103231,x103231),a897),f911(x103231,a897)),x103231),f7(x103231,f911(f910(x103231,x103231),a897),a897)),f295(f295(f8(f911(x103231,f910(x103231,x103231)),f911(x103231,f911(f911(f910(x103231,x103231),a897),a897)),x103231),f295(f8(f910(x103231,x103231),f911(f911(f910(x103231,x103231),a897),a897),x103231),f297(f910(x103231,x103231)))),f217(x103231,x103231)))),x103234),x103232,x103233)+P1(f295(f295(f297(f910(f903(x103231),f903(x103231))),f295(f295(f217(f903(x103231),f903(x103231)),x103232),x103233)),f147(x103231,x103234))) % 192.26/192.34 [10324]~P64(x103241,f295(f295(f7(x103241,f911(f910(x103241,x103241),a897),f911(x103241,a897)),f295(f295(f8(f911(x103241,f911(f911(f910(x103241,x103241),a897),a897)),f911(f911(f910(x103241,x103241),a897),f911(x103241,a897)),x103241),f7(x103241,f911(f910(x103241,x103241),a897),a897)),f295(f295(f8(f911(x103241,f910(x103241,x103241)),f911(x103241,f911(f911(f910(x103241,x103241),a897),a897)),x103241),f295(f8(f910(x103241,x103241),f911(f911(f910(x103241,x103241),a897),a897),x103241),f297(f910(x103241,x103241)))),f217(x103241,x103241)))),x103244),x103242,x103243)+P1(f295(f295(f297(f910(f911(x103241,a897),f911(x103241,a897))),f295(f295(f217(f911(x103241,a897),f911(x103241,a897)),x103242),x103243)),f287(x103241,x103244))) % 192.26/192.34 [7636]~P104(x76361)+E(f295(f295(f83(x76361),f295(f110(x76361),x76362)),f295(f295(f23(x76361),f295(f110(x76361),x76363)),x76364)),f295(f295(f23(x76361),f295(f110(x76361),f295(f295(f83(a1),x76362),x76363))),x76364)) % 192.26/192.34 [7637]~P104(x76371)+E(f295(f295(f83(x76371),f295(f110(x76371),x76372)),f295(f295(f83(x76371),f295(f110(x76371),x76373)),x76374)),f295(f295(f83(x76371),f295(f110(x76371),f295(f295(f83(a1),x76372),x76373))),x76374)) % 192.26/192.34 [7638]~P104(x76381)+E(f295(f295(f84(x76381),f295(f110(x76381),x76382)),f295(f295(f84(x76381),f295(f110(x76381),x76383)),x76384)),f295(f295(f84(x76381),f295(f110(x76381),f295(f295(f84(a1),x76382),x76383))),x76384)) % 192.26/192.34 [7674]~P118(x76741)+E(f295(f154(x76741),f295(f295(f143(x76742,x76741),f295(f16(x76741,x76742),x76743)),x76744)),f295(f295(f84(x76741),f295(f107(x76741),f295(f177(f903(x76742)),x76744))),x76743)) % 192.26/192.34 [7911]E(f295(f239(x79111,f295(f295(f140(f910(a106,x79111)),x79112),x79113)),x79114),f295(f227(a106,x79111),x79112))+~P1(f295(f295(f208(a106),x79114),f295(f216(a106,x79111),x79112))) % 192.26/192.34 [7956]~P104(x79561)+E(f295(f295(f83(x79561),f295(f110(x79561),x79562)),f295(f295(f23(x79561),x79563),f295(f110(x79561),x79564))),f295(f295(f83(x79561),f295(f110(x79561),f295(f295(f83(a1),x79562),f295(f82(a1),x79564)))),x79563)) % 192.26/192.34 [8087]E(f295(f239(x80871,x80872),f295(f295(f23(a106),x80873),f295(f216(a106,x80871),x80874))),f295(f239(x80871,f295(f295(f140(f910(a106,x80871)),x80874),x80872)),x80873))+P1(f295(f295(f208(a106),x80873),f295(f216(a106,x80871),x80874))) % 192.26/192.34 [8530]~P1(f295(f295(f297(x85301),x85302),f295(f160(x85301),f121(x85301,x85304))))+P1(f295(f295(f297(x85301),x85302),f295(f160(x85301),f121(x85301,f295(f295(f122(x85301),x85303),x85304))))) % 192.26/192.34 [8531]~P1(f295(f295(f297(x85311),x85312),f295(f160(x85311),f121(x85311,x85313))))+P1(f295(f295(f297(x85311),x85312),f295(f160(x85311),f121(x85311,f295(f295(f122(x85311),x85313),x85314))))) % 192.26/192.34 [8550]E(f295(f295(f117(f911(x85501,a897)),f295(f295(f108(f911(x85501,a897)),x85502),x85503)),x85504),f295(f295(f108(f911(x85501,a897)),x85502),f295(f295(f117(f911(x85501,a897)),x85503),x85504)))+~P1(f295(f295(f207(f911(x85501,a897)),x85504),x85502)) % 192.26/192.34 [8873]~E(f295(f295(f117(f911(x88731,a897)),f295(f295(f108(f911(x88731,a897)),x88733),x88734)),x88732),f295(f295(f108(f911(x88731,a897)),x88733),f295(f295(f117(f911(x88731,a897)),x88734),x88732)))+P1(f295(f295(f207(f911(x88731,a897)),x88732),x88733)) % 192.26/192.34 [9166]~P67(x91661)+E(f295(f154(x91661),f295(f295(f143(x91662,x91661),f295(f295(f74(x91661,x91661,x91662),f82(x91661)),x91663)),x91664)),f295(f82(x91661),f295(f154(x91661),f295(f295(f143(x91662,x91661),x91663),x91664)))) % 192.26/192.34 [9181]~P1(f295(f295(f207(f911(x91811,a897)),x91812),f295(f295(f117(f911(x91811,a897)),x91813),x91814)))+P1(f295(f295(f207(f911(x91811,a897)),f295(f295(f23(f911(x91811,a897)),x91812),x91813)),x91814)) % 192.26/192.34 [9292]~E(f295(f276(x92921,x92922,x92923),f214(f911(x92921,a897))),f214(f911(x92922,a897)))+E(f295(f276(x92921,x92922,x92923),f295(f276(x92922,x92921,f94(x92921,x92922,f214(f911(x92921,a897)),x92923)),x92924)),x92924) % 192.26/192.34 [9297]P1(f295(f295(f207(f911(x92971,a897)),x92972),f295(f295(f117(f911(x92971,a897)),x92973),x92974)))+~P1(f295(f295(f207(f911(x92971,a897)),f295(f295(f23(f911(x92971,a897)),x92972),x92973)),x92974)) % 192.26/192.34 [9378]~P93(x93781)+E(f295(f77(x93781),f295(f295(f6(x93782,x93781),f295(f295(f8(x93781,x93781,x93782),f77(x93781)),x93783)),x93784)),f295(f295(f6(x93782,x93781),f295(f295(f8(x93781,x93781,x93782),f77(x93781)),x93783)),x93784)) % 192.26/192.34 [9544]~P93(x95441)+P1(f295(f295(f207(x95441),f2(x95441)),f295(f295(f6(x95442,x95441),f295(f295(f8(x95441,x95441,x95442),f77(x95441)),x95443)),x95444))) % 192.26/192.34 [9677]~P93(x96771)+P1(f295(f295(f207(x96771),f295(f77(x96771),f295(f295(f6(x96772,x96771),x96773),x96774))),f295(f295(f6(x96772,x96771),f295(f295(f8(x96771,x96771,x96772),f77(x96771)),x96773)),x96774))) % 192.26/192.34 [9710]~E(f295(f295(f83(a902),x97101),x97104),f295(f295(f83(a902),x97103),x97102))+P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),f295(f295(f217(a902,a902),x97101),x97102)),f295(f295(f217(a902,a902),x97103),x97104))),a115)) % 192.26/192.34 [9711]~P1(f295(f295(f208(a902),x97111),x97113))+P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),f295(f295(f217(a902,a902),x97111),x97112)),f295(f295(f217(a902,a902),x97113),x97114))),a37)) % 192.26/192.34 [9712]~P1(f295(f295(f208(a902),x97121),x97123))+P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),f295(f295(f217(a902,a902),x97121),x97122)),f295(f295(f217(a902,a902),x97123),x97124))),a72)) % 192.26/192.34 [9864]E(f295(f295(f83(a902),x98641),x98642),f295(f295(f83(a902),x98643),x98644))+~P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),f295(f295(f217(a902,a902),x98641),x98644)),f295(f295(f217(a902,a902),x98643),x98642))),a115)) % 192.26/192.34 [9894]E(f295(f295(f153(x98941),f295(f295(f127(x98941),f295(f177(f903(x98941)),f164(x98941,x98942,x98943))),x98943)),x98944),f295(f295(f153(x98941),x98943),f295(f295(f83(a902),x98944),f295(f177(f903(x98941)),f164(x98941,x98942,x98943)))))+~P1(f295(f295(f208(a902),x98944),f295(f177(f903(x98941)),f295(f295(f127(x98941),f295(f177(f903(x98941)),f164(x98941,x98942,x98943))),x98943)))) % 192.26/192.34 [9909]~P1(f295(f295(f297(x99092),x99094),f295(f295(f43(x99091,f911(x99092,a897)),f214(f911(x99091,a897))),x99093)))+P1(f295(f295(f295(f43(x99091,f911(x99092,a897)),f214(f911(x99091,a897))),f295(f295(f8(f911(x99092,a897),f911(x99092,a897),x99091),f295(f7(x99092,f911(x99092,a897),a897),f297(x99092))),x99093)),x99094)) % 192.26/192.34 [9910]~P1(f295(f295(f297(x99102),x99104),f295(f295(f44(x99101,f911(x99102,a897)),f214(f911(x99101,a897))),x99103)))+P1(f295(f295(f295(f44(x99101,f911(x99102,a897)),f214(f911(x99101,a897))),f295(f295(f8(f911(x99102,a897),f911(x99102,a897),x99101),f295(f7(x99102,f911(x99102,a897),a897),f297(x99102))),x99103)),x99104)) % 192.26/192.34 [9981]~P1(f295(f50(x99811,x99812),f295(f295(f217(a1,a1),x99814),x99813)))+P1(f295(f50(f295(f82(a1),x99811),x99812),f295(f295(f217(a1,a1),f295(f295(f295(f103(a1),f295(f295(a292,x99813),f2(a1))),f295(f82(a1),x99814)),f295(f295(f23(a1),f295(f82(a1),x99814)),f81(a1)))),f295(f295(f295(f103(a1),f295(f295(a292,x99813),f2(a1))),f2(a1)),f295(f295(f23(a1),x99812),x99813))))) % 192.26/192.34 [9991]P1(f295(f295(f297(x99911),x99912),f295(f295(f43(x99913,f911(x99911,a897)),f214(f911(x99913,a897))),x99914)))+~P1(f295(f295(f295(f43(x99913,f911(x99911,a897)),f214(f911(x99913,a897))),f295(f295(f8(f911(x99911,a897),f911(x99911,a897),x99913),f295(f7(x99911,f911(x99911,a897),a897),f297(x99911))),x99914)),x99912)) % 192.26/192.34 [9992]P1(f295(f295(f297(x99921),x99922),f295(f295(f44(x99923,f911(x99921,a897)),f214(f911(x99923,a897))),x99924)))+~P1(f295(f295(f295(f44(x99923,f911(x99921,a897)),f214(f911(x99923,a897))),f295(f295(f8(f911(x99921,a897),f911(x99921,a897),x99923),f295(f7(x99921,f911(x99921,a897),a897),f297(x99921))),x99924)),x99922)) % 192.26/192.34 [10003]E(f295(f295(f44(a902,f911(x100031,a897)),f214(f911(a902,a897))),x100032),f295(f295(f44(a902,f911(x100031,a897)),f214(f911(a902,a897))),x100033))+~E(f295(f295(f44(a902,f911(x100031,a897)),f295(f268(a902,f2(a902)),f473(x100032,x100034,x100033,x100031))),x100033),f295(f295(f44(a902,f911(x100031,a897)),f295(f268(a902,f2(a902)),f295(f295(f83(a902),f473(x100032,x100034,x100033,x100031)),x100034))),x100032)) % 192.26/192.34 [10402]~P1(f295(f295(f207(f911(f910(x104021,x104022),a897)),x104023),x104024))+P1(f295(f295(f207(f911(x104021,f911(x104022,a897))),f295(f295(f7(x104021,f911(f910(x104021,x104022),a897),f911(x104022,a897)),f295(f295(f8(f911(x104022,f911(f911(f910(x104021,x104022),a897),a897)),f911(f911(f910(x104021,x104022),a897),f911(x104022,a897)),x104021),f7(x104022,f911(f910(x104021,x104022),a897),a897)),f295(f295(f8(f911(x104022,f910(x104021,x104022)),f911(x104022,f911(f911(f910(x104021,x104022),a897),a897)),x104021),f295(f8(f910(x104021,x104022),f911(f911(f910(x104021,x104022),a897),a897),x104022),f297(f910(x104021,x104022)))),f217(x104021,x104022)))),x104023)),f295(f295(f7(x104021,f911(f910(x104021,x104022),a897),f911(x104022,a897)),f295(f295(f8(f911(x104022,f911(f911(f910(x104021,x104022),a897),a897)),f911(f911(f910(x104021,x104022),a897),f911(x104022,a897)),x104021),f7(x104022,f911(f910(x104021,x104022),a897),a897)),f295(f295(f8(f911(x104022,f910(x104021,x104022)),f911(x104022,f911(f911(f910(x104021,x104022),a897),a897)),x104021),f295(f8(f910(x104021,x104022),f911(f911(f910(x104021,x104022),a897),a897),x104022),f297(f910(x104021,x104022)))),f217(x104021,x104022)))),x104024))) % 192.26/192.34 [10417]P1(f295(f295(f207(f911(f910(x104171,x104172),a897)),x104173),x104174))+~P1(f295(f295(f207(f911(x104171,f911(x104172,a897))),f295(f295(f7(x104171,f911(f910(x104171,x104172),a897),f911(x104172,a897)),f295(f295(f8(f911(x104172,f911(f911(f910(x104171,x104172),a897),a897)),f911(f911(f910(x104171,x104172),a897),f911(x104172,a897)),x104171),f7(x104172,f911(f910(x104171,x104172),a897),a897)),f295(f295(f8(f911(x104172,f910(x104171,x104172)),f911(x104172,f911(f911(f910(x104171,x104172),a897),a897)),x104171),f295(f8(f910(x104171,x104172),f911(f911(f910(x104171,x104172),a897),a897),x104172),f297(f910(x104171,x104172)))),f217(x104171,x104172)))),x104173)),f295(f295(f7(x104171,f911(f910(x104171,x104172),a897),f911(x104172,a897)),f295(f295(f8(f911(x104172,f911(f911(f910(x104171,x104172),a897),a897)),f911(f911(f910(x104171,x104172),a897),f911(x104172,a897)),x104171),f7(x104172,f911(f910(x104171,x104172),a897),a897)),f295(f295(f8(f911(x104172,f910(x104171,x104172)),f911(x104172,f911(f911(f910(x104171,x104172),a897),a897)),x104171),f295(f8(f910(x104171,x104172),f911(f911(f910(x104171,x104172),a897),a897),x104172),f297(f910(x104171,x104172)))),f217(x104171,x104172)))),x104174))) % 192.26/192.34 [9426]~P1(f295(f295(f297(f910(x94261,x94261)),x94262),f273(x94261,x94264)))+P1(f295(f295(f297(f910(x94261,x94261)),x94262),f273(x94261,f295(f295(f117(f911(f910(x94261,x94261),a897)),x94263),x94264)))) % 192.26/192.34 [9427]~P1(f295(f295(f297(f910(x94271,x94271)),x94272),f273(x94271,x94273)))+P1(f295(f295(f297(f910(x94271,x94271)),x94272),f273(x94271,f295(f295(f117(f911(f910(x94271,x94271),a897)),x94273),x94274)))) % 192.26/192.34 [10095]~P1(f295(f295(f207(a902),f295(f295(f83(a902),x100951),x100954)),f295(f295(f83(a902),x100953),x100952)))+P1(f295(f295(f207(a1),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x100951),x100952)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x100953),x100954)),f176(f911(f910(a902,a902),a897))))))) % 192.26/192.34 [10096]~P1(f295(f295(f208(a902),f295(f295(f83(a902),x100961),x100964)),f295(f295(f83(a902),x100963),x100962)))+P1(f295(f295(f208(a1),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x100961),x100962)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x100963),x100964)),f176(f911(f910(a902,a902),a897))))))) % 192.26/192.34 [10185]P1(f295(f295(f207(a902),f295(f295(f83(a902),x101851),x101852)),f295(f295(f83(a902),x101853),x101854)))+~P1(f295(f295(f207(a1),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x101851),x101854)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x101853),x101852)),f176(f911(f910(a902,a902),a897))))))) % 192.26/192.34 [10186]P1(f295(f295(f208(a902),f295(f295(f83(a902),x101861),x101862)),f295(f295(f83(a902),x101863),x101864)))+~P1(f295(f295(f208(a1),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x101861),x101864)),f176(f911(f910(a902,a902),a897)))))),f295(a92,f295(f252(f910(a902,a902),f910(a902,a902),a115),f295(f295(f275(f910(a902,a902)),f295(f295(f217(a902,a902),x101863),x101862)),f176(f911(f910(a902,a902),a897))))))) % 192.26/192.34 [10255]P1(f295(f295(f207(f911(x102551,a897)),f295(f295(f44(a902,f911(x102551,a897)),f214(f911(a902,a897))),x102552)),f295(f295(f44(a902,f911(x102551,a897)),f214(f911(a902,a897))),x102553)))+~P1(f295(f295(f207(f911(x102551,a897)),f295(f295(f44(a902,f911(x102551,a897)),f295(f268(a902,f2(a902)),f470(x102553,x102554,x102552,x102551))),x102552)),f295(f295(f44(a902,f911(x102551,a897)),f295(f268(a902,f2(a902)),f295(f295(f83(a902),f470(x102553,x102554,x102552,x102551)),x102554))),x102553))) % 192.26/192.34 [10392]~P1(f295(f295(f297(x103922),x103924),f295(f251(x103921,x103922),x103923)))+P1(f295(f225(x103921,x103922,f295(f295(f7(x103921,f911(f910(x103921,x103922),a897),f911(x103922,a897)),f295(f295(f8(f911(x103922,f911(f911(f910(x103921,x103922),a897),a897)),f911(f911(f910(x103921,x103922),a897),f911(x103922,a897)),x103921),f7(x103922,f911(f910(x103921,x103922),a897),a897)),f295(f295(f8(f911(x103922,f910(x103921,x103922)),f911(x103922,f911(f911(f910(x103921,x103922),a897),a897)),x103921),f295(f8(f910(x103921,x103922),f911(f911(f910(x103921,x103922),a897),a897),x103922),f297(f910(x103921,x103922)))),f217(x103921,x103922)))),x103923)),x103924)) % 192.26/192.34 [10393]~P1(f295(f295(f297(x103931),x103934),f295(f215(x103931,x103932),x103933)))+P1(f295(f224(x103931,x103932,f295(f295(f7(x103931,f911(f910(x103931,x103932),a897),f911(x103932,a897)),f295(f295(f8(f911(x103932,f911(f911(f910(x103931,x103932),a897),a897)),f911(f911(f910(x103931,x103932),a897),f911(x103932,a897)),x103931),f7(x103932,f911(f910(x103931,x103932),a897),a897)),f295(f295(f8(f911(x103932,f910(x103931,x103932)),f911(x103932,f911(f911(f910(x103931,x103932),a897),a897)),x103931),f295(f8(f910(x103931,x103932),f911(f911(f910(x103931,x103932),a897),a897),x103932),f297(f910(x103931,x103932)))),f217(x103931,x103932)))),x103933)),x103934)) % 192.26/192.34 [10405]P1(f295(f295(f297(x104051),x104052),f295(f251(x104053,x104051),x104054)))+~P1(f295(f225(x104053,x104051,f295(f295(f7(x104053,f911(f910(x104053,x104051),a897),f911(x104051,a897)),f295(f295(f8(f911(x104051,f911(f911(f910(x104053,x104051),a897),a897)),f911(f911(f910(x104053,x104051),a897),f911(x104051,a897)),x104053),f7(x104051,f911(f910(x104053,x104051),a897),a897)),f295(f295(f8(f911(x104051,f910(x104053,x104051)),f911(x104051,f911(f911(f910(x104053,x104051),a897),a897)),x104053),f295(f8(f910(x104053,x104051),f911(f911(f910(x104053,x104051),a897),a897),x104051),f297(f910(x104053,x104051)))),f217(x104053,x104051)))),x104054)),x104052)) % 192.26/192.34 [10406]P1(f295(f295(f297(x104061),x104062),f295(f215(x104061,x104063),x104064)))+~P1(f295(f224(x104061,x104063,f295(f295(f7(x104061,f911(f910(x104061,x104063),a897),f911(x104063,a897)),f295(f295(f8(f911(x104063,f911(f911(f910(x104061,x104063),a897),a897)),f911(f911(f910(x104061,x104063),a897),f911(x104063,a897)),x104061),f7(x104063,f911(f910(x104061,x104063),a897),a897)),f295(f295(f8(f911(x104063,f910(x104061,x104063)),f911(x104063,f911(f911(f910(x104061,x104063),a897),a897)),x104061),f295(f8(f910(x104061,x104063),f911(f911(f910(x104061,x104063),a897),a897),x104063),f297(f910(x104061,x104063)))),f217(x104061,x104063)))),x104064)),x104062)) % 192.26/192.34 [10013]P1(f295(f149(x100131,x100132),x100133))+~P1(f295(f149(x100131,f295(f295(f18(x100131,a897,a897),f295(f295(f8(a897,f911(a897,a897),x100131),a293),x100134)),x100132)),x100133)) % 192.26/192.34 [10014]P1(f295(f149(x100141,x100142),x100143))+~P1(f295(f149(x100141,f295(f295(f18(x100141,a897,a897),f295(f295(f8(a897,f911(a897,a897),x100141),a293),x100142)),x100144)),x100143)) % 192.26/192.34 [10097]~P123(x100971)+E(f295(f295(f84(x100971),f295(f295(f83(x100971),f81(x100971)),f81(x100971))),f295(f295(f6(a902,x100971),f295(f295(f8(x100971,x100971,a902),f295(f83(x100971),x100972)),f295(f295(f7(a902,x100971,x100971),f295(f295(f8(x100971,f911(x100971,x100971),a902),f84(x100971)),f107(x100971))),x100973))),f295(f249(a902),x100974))),f295(f295(f84(x100971),f295(f107(x100971),x100974)),f295(f295(f83(x100971),x100972),f295(f295(f83(x100971),x100972),f295(f295(f84(x100971),f295(f107(x100971),f295(f295(f23(a902),x100974),f81(a902)))),x100973))))) % 192.26/192.34 [10285]P1(f295(x102851,f646(x102852,x102853,x102854,x102851)))+P36(x102852,f295(f212(f910(x102852,x102852)),f295(f228(x102852,x102852,a897),f295(f295(f8(f911(x102852,a897),f911(x102852,a897),x102852),f295(f18(x102852,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102852),a293),x102851))),f295(f295(f7(x102852,f911(x102852,x102852),f911(x102852,a897)),f295(f295(f8(f911(x102852,a897),f911(f911(x102852,x102852),f911(x102852,a897)),x102852),f8(x102852,a897,x102852)),a292)),x102853))))) % 192.26/192.34 [10297]~P1(f295(f295(f208(a902),f295(x102974,f295(x102973,f646(x102971,x102973,x102974,x102972)))),f295(x102974,f646(x102971,x102973,x102974,x102972))))+P36(x102971,f295(f212(f910(x102971,x102971)),f295(f228(x102971,x102971,a897),f295(f295(f8(f911(x102971,a897),f911(x102971,a897),x102971),f295(f18(x102971,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102971),a293),x102972))),f295(f295(f7(x102971,f911(x102971,x102971),f911(x102971,a897)),f295(f295(f8(f911(x102971,a897),f911(f911(x102971,x102971),f911(x102971,a897)),x102971),f8(x102971,a897,x102971)),a292)),x102973))))) % 192.26/192.34 [10379]~P6(x103791)+E(f42(x103791,f295(f212(x103791),f295(f295(f8(f911(f911(x103792,x103791),a897),a897,x103791),f90(f911(x103792,x103791))),f295(f295(f8(f911(f911(x103792,x103791),a897),f911(f911(x103792,x103791),a897),x103791),f295(f18(f911(x103792,x103791),a897,a897),f295(f295(f8(a897,f911(a897,a897),f911(x103792,x103791)),a293),f295(f295(f7(f911(x103792,x103791),f911(f911(x103792,x103791),a897),a897),f297(f911(x103792,x103791))),x103793)))),f295(f295(f7(x103791,f911(f911(x103792,x103791),x103791),f911(f911(x103792,x103791),a897)),f295(f295(f8(f911(x103791,a897),f911(f911(f911(x103792,x103791),x103791),f911(f911(x103792,x103791),a897)),x103791),f8(x103791,a897,f911(x103792,x103791))),a292)),f295(f295(f7(f911(x103792,x103791),x103792,x103791),f5(f911(x103792,x103791))),x103794)))))),f295(f42(f911(x103792,x103791),x103793),x103794)) % 192.26/192.34 [10380]~P6(x103801)+E(f42(x103801,f295(f212(x103801),f295(f295(f8(f911(f911(x103802,x103801),a897),a897,x103801),f90(f911(x103802,x103801))),f295(f295(f8(f911(f911(x103802,x103801),a897),f911(f911(x103802,x103801),a897),x103801),f295(f18(f911(x103802,x103801),a897,a897),f295(f295(f8(a897,f911(a897,a897),f911(x103802,x103801)),a293),f295(f295(f7(f911(x103802,x103801),f911(f911(x103802,x103801),a897),a897),f297(f911(x103802,x103801))),x103803)))),f295(f295(f7(x103801,f911(f911(x103802,x103801),x103801),f911(f911(x103802,x103801),a897)),f295(f295(f8(f911(x103801,a897),f911(f911(f911(x103802,x103801),x103801),f911(f911(x103802,x103801),a897)),x103801),f8(x103801,a897,f911(x103802,x103801))),a292)),f295(f295(f7(f911(x103802,x103801),x103802,x103801),f5(f911(x103802,x103801))),x103804)))))),f295(f42(f911(x103802,x103801),x103803),x103804)) % 192.26/192.34 [10381]~P6(x103811)+E(f41(x103811,f295(f212(x103811),f295(f295(f8(f911(f911(x103812,x103811),a897),a897,x103811),f90(f911(x103812,x103811))),f295(f295(f8(f911(f911(x103812,x103811),a897),f911(f911(x103812,x103811),a897),x103811),f295(f18(f911(x103812,x103811),a897,a897),f295(f295(f8(a897,f911(a897,a897),f911(x103812,x103811)),a293),f295(f295(f7(f911(x103812,x103811),f911(f911(x103812,x103811),a897),a897),f297(f911(x103812,x103811))),x103813)))),f295(f295(f7(x103811,f911(f911(x103812,x103811),x103811),f911(f911(x103812,x103811),a897)),f295(f295(f8(f911(x103811,a897),f911(f911(f911(x103812,x103811),x103811),f911(f911(x103812,x103811),a897)),x103811),f8(x103811,a897,f911(x103812,x103811))),a292)),f295(f295(f7(f911(x103812,x103811),x103812,x103811),f5(f911(x103812,x103811))),x103814)))))),f295(f41(f911(x103812,x103811),x103813),x103814)) % 192.26/192.34 [10382]~P6(x103821)+E(f41(x103821,f295(f212(x103821),f295(f295(f8(f911(f911(x103822,x103821),a897),a897,x103821),f90(f911(x103822,x103821))),f295(f295(f8(f911(f911(x103822,x103821),a897),f911(f911(x103822,x103821),a897),x103821),f295(f18(f911(x103822,x103821),a897,a897),f295(f295(f8(a897,f911(a897,a897),f911(x103822,x103821)),a293),f295(f295(f7(f911(x103822,x103821),f911(f911(x103822,x103821),a897),a897),f297(f911(x103822,x103821))),x103823)))),f295(f295(f7(x103821,f911(f911(x103822,x103821),x103821),f911(f911(x103822,x103821),a897)),f295(f295(f8(f911(x103821,a897),f911(f911(f911(x103822,x103821),x103821),f911(f911(x103822,x103821),a897)),x103821),f8(x103821,a897,f911(x103822,x103821))),a292)),f295(f295(f7(f911(x103822,x103821),x103822,x103821),f5(f911(x103822,x103821))),x103824)))))),f295(f41(f911(x103822,x103821),x103823),x103824)) % 192.26/192.34 [10428]~P1(f295(f295(f297(f910(x104281,x104281)),f295(f295(f217(x104281,x104281),x104283),x104284)),f295(f295(f117(f911(f910(x104281,x104281),a897)),x104282),f273(x104281,f176(f911(f910(x104281,x104281),a897))))))+P1(f295(f295(f295(f295(f117(f911(x104281,f911(x104281,a897))),f295(f295(f7(x104281,f911(f910(x104281,x104281),a897),f911(x104281,a897)),f295(f295(f8(f911(x104281,f911(f911(f910(x104281,x104281),a897),a897)),f911(f911(f910(x104281,x104281),a897),f911(x104281,a897)),x104281),f7(x104281,f911(f910(x104281,x104281),a897),a897)),f295(f295(f8(f911(x104281,f910(x104281,x104281)),f911(x104281,f911(f911(f910(x104281,x104281),a897),a897)),x104281),f295(f8(f910(x104281,x104281),f911(f911(f910(x104281,x104281),a897),a897),x104281),f297(f910(x104281,x104281)))),f217(x104281,x104281)))),x104282)),a292),x104283),x104284)) % 192.26/192.34 [10437]P1(f295(f295(f297(f910(x104371,x104371)),f295(f295(f217(x104371,x104371),x104372),x104373)),f295(f295(f117(f911(f910(x104371,x104371),a897)),x104374),f273(x104371,f176(f911(f910(x104371,x104371),a897))))))+~P1(f295(f295(f295(f295(f117(f911(x104371,f911(x104371,a897))),f295(f295(f7(x104371,f911(f910(x104371,x104371),a897),f911(x104371,a897)),f295(f295(f8(f911(x104371,f911(f911(f910(x104371,x104371),a897),a897)),f911(f911(f910(x104371,x104371),a897),f911(x104371,a897)),x104371),f7(x104371,f911(f910(x104371,x104371),a897),a897)),f295(f295(f8(f911(x104371,f910(x104371,x104371)),f911(x104371,f911(f911(f910(x104371,x104371),a897),a897)),x104371),f295(f8(f910(x104371,x104371),f911(f911(f910(x104371,x104371),a897),a897),x104371),f297(f910(x104371,x104371)))),f217(x104371,x104371)))),x104374)),a292),x104372),x104373)) % 192.26/192.34 [10268]~P113(x102683)+E(f93(x102681,f295(f295(f18(x102681,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102681),a293),x102682)),f295(f295(f8(f911(x102681,a897),a897,x102681),f91(x102681)),f295(f295(f8(f911(x102681,a897),f911(x102681,a897),x102681),f295(f18(x102681,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102681),a298),x102682))),f295(f295(f8(x102683,f911(x102681,a897),x102681),f295(f7(x102681,x102683,a897),f295(f295(f8(x102683,f911(x102683,a897),x102681),f207(x102683)),x102684))),x102684))))),f295(f95(x102681,x102683,x102684),x102682)) % 192.26/192.34 [10322]~P113(x103223)+E(f93(x103221,f295(f295(f18(x103221,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103221),a293),x103222)),f295(f295(f8(f911(x103221,a897),a897,x103221),f91(x103221)),f295(f295(f8(f911(x103221,a897),f911(x103221,a897),x103221),f295(f18(x103221,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103221),a298),x103222))),f295(f295(f7(x103221,f911(x103221,x103223),f911(x103221,a897)),f295(f295(f8(f911(x103223,a897),f911(f911(x103221,x103223),f911(x103221,a897)),x103221),f8(x103223,a897,x103221)),f295(f295(f8(x103223,f911(x103223,a897),x103221),f207(x103223)),x103224))),x103224))))),f97(x103221,x103223,x103224,x103222)) % 192.26/192.34 [10390]E(f295(f295(f140(f903(x103901)),f295(f295(f140(x103901),x103902),f295(f131(f903(x103901),f903(x103901),f122(x103901),f120(x103901)),f295(f295(f143(f903(x103901),f903(x103901)),f145(f903(x103901),x103901,f120(x103901),f295(f295(f8(f903(x103901),f911(f903(x103901),f903(x103901)),x103901),f16(f903(x103901),f903(x103901))),f295(f295(f7(x103901,f903(x103901),f903(x103901)),f140(x103901)),f120(x103901))))),x103903)))),f166(x103901,f295(f295(f140(f903(x103901)),x103904),f295(f131(f903(f903(x103901)),f903(f903(x103901)),f122(f903(x103901)),f120(f903(x103901))),f295(f295(f143(f903(x103901),f903(f903(x103901))),f145(f903(f903(x103901)),x103901,f120(f903(x103901)),f295(f16(f911(f903(x103901),f903(f903(x103901))),x103901),f295(f295(f7(f903(x103901),f903(f903(x103901)),f903(f903(x103901))),f140(f903(x103901))),f120(f903(x103901)))))),x103903))))),f166(x103901,f295(f295(f140(f903(x103901)),f295(f295(f140(x103901),x103902),x103904)),x103903)))+~P1(f295(f284(f903(f903(x103901)),f167(x103901)),f295(f295(f140(f903(x103901)),f295(f295(f140(x103901),x103902),x103904)),x103903))) % 192.26/192.34 [10427]~P1(f295(f62(x104272),f295(f212(x104272),x104274)))+P1(f295(f62(x104271),f295(f212(x104271),f295(f295(f8(f911(x104272,a897),a897,x104271),f90(x104272)),f295(f295(f7(x104271,f911(x104272,a897),f911(x104272,a897)),f295(f295(f8(f911(x104272,f911(a897,a897)),f911(f911(x104272,a897),f911(x104272,a897)),x104271),f18(x104272,a897,a897)),f295(f295(f8(f911(x104272,a897),f911(x104272,f911(a897,a897)),x104271),f295(f8(a897,f911(a897,a897),x104272),a293)),f295(f295(f7(x104271,f911(x104272,x104271),f911(x104272,a897)),f295(f295(f8(f911(x104271,a897),f911(f911(x104272,x104271),f911(x104272,a897)),x104271),f8(x104271,a897,x104272)),a292)),x104273)))),x104274))))) % 192.26/192.34 [8759]P45(x87591,x87592)+~P43(x87591,x87593,x87592,x87594,x87595) % 192.26/192.34 [8760]P46(x87601,x87602)+~P43(x87601,x87603,x87602,x87604,x87605) % 192.26/192.34 [8761]P14(x87611,x87612)+~P56(x87611,x87613,x87612,x87614,x87615) % 192.26/192.34 [8229]P55(x82291,x82292,x82293,x82294,x82295)+~E(f295(x82295,x82293),x82294) % 192.26/192.34 [8231]~E(f295(x82313,x82314),x82315)+E(f76(x82311,x82312,x82313,x82314,x82315),x82313) % 192.26/192.34 [8764]~P55(x87644,x87645,x87642,x87643,x87641)+E(f295(x87641,x87642),x87643) % 192.26/192.34 [8765]~E(f76(x87654,x87655,x87651,x87652,x87653),x87651)+E(f295(x87651,x87652),x87653) % 192.26/192.34 [9420]~P56(x94201,x94202,x94203,x94204,x94205)+P43(x94201,x94202,x94203,f241(x94201,x94202,x94203,x94204),f242(x94202,x94201,x94205)) % 192.26/192.34 [6221]P1(f295(f225(x62211,x62212,x62213),x62214))+~P1(f295(f295(x62213,x62215),x62214)) % 192.26/192.34 [6223]P1(f295(f224(x62231,x62232,x62233),x62234))+~P1(f295(f295(x62233,x62234),x62235)) % 192.26/192.34 [6824]~E(x68243,f2(a106))+E(f295(f244(x68241,x68242,x68243,x68244),x68245),f295(f217(x68241,x68242),x68245)) % 192.26/192.34 [7288]~P19(x72884,x72881,x72882,x72885)+E(f295(f295(f74(x72881,x72881,x72881),f295(x72882,x72883)),f295(x72882,x72883)),f295(x72882,x72883)) % 192.26/192.34 [7331]~P15(x73315,x73311,x73312)+E(f295(f295(f74(x73311,x73311,x73311),f295(x73312,x73313)),f295(x73312,x73314)),f295(f295(f74(x73311,x73311,x73311),f295(x73312,x73314)),f295(x73312,x73313))) % 192.26/192.34 [8590]P1(f295(f295(f297(f910(x85901,x85901)),f295(f295(f217(x85901,x85901),x85902),x85903)),f290(x85901,x85904,x85905)))+~P1(f295(f295(f208(a902),f295(x85904,x85902)),f295(x85904,x85903))) % 192.26/192.34 [8687]~P1(f295(f295(f297(x86874),x86873),f262(x86874,x86871,x86872,x86875)))+P1(f295(f295(x86871,x86872),x86873)) % 192.26/192.34 [8688]~P1(f295(f295(f297(x86884),x86883),f265(x86884,x86881,x86882,x86885)))+P1(f295(f295(x86881,x86882),x86883)) % 192.26/192.34 [8689]~P1(f295(f295(f297(x86894),x86892),f262(x86894,x86891,x86895,x86893)))+P1(f295(f295(x86891,x86892),x86893)) % 192.26/192.34 [8690]~P1(f295(f295(f297(x86904),x86902),f265(x86904,x86901,x86905,x86903)))+P1(f295(f295(x86901,x86902),x86903)) % 192.26/192.34 [8845]~P62(x88452,x88451,x88455,x88453,x88454)+E(f295(f276(x88451,x88452,x88453),x88454),f214(f911(x88452,a897))) % 192.26/192.34 [9306]~P34(x93061,x93062,x93063,x93064,x93065)+P34(x93061,x93062,x93063,f295(f157(x93061),x93064),f295(f157(x93062),x93065)) % 192.26/192.34 [9308]~P34(x93081,x93082,x93083,f295(f157(x93081),x93084),x93085)+P34(x93081,x93082,x93083,x93084,f295(f157(x93082),x93085)) % 192.26/192.34 [9309]~P34(x93091,x93092,x93093,x93094,f295(f157(x93092),x93095))+P34(x93091,x93092,x93093,f295(f157(x93091),x93094),x93095) % 192.26/192.34 [9316]P34(x93161,x93162,x93163,x93164,x93165)+~P34(x93161,x93162,x93163,f295(f157(x93161),x93164),f295(f157(x93162),x93165)) % 192.26/192.34 [9700]P1(f295(f295(f297(f910(f903(x97001),f903(x97001))),f295(f295(f217(f903(x97001),f903(x97001)),f295(f295(f122(x97001),x97002),x97003)),f295(f295(f122(x97001),x97002),x97004))),f136(x97001,x97005)))+~P1(f295(f295(f297(f910(f903(x97001),f903(x97001))),f295(f295(f217(f903(x97001),f903(x97001)),x97003),x97004)),f136(x97001,x97005))) % 192.26/192.34 [9701]P1(f295(f295(f297(f910(f903(x97011),f903(x97011))),f295(f295(f217(f903(x97011),f903(x97011)),f295(f295(f140(x97011),x97012),x97013)),f295(f295(f140(x97011),x97012),x97014))),f146(x97011,x97015)))+~P1(f295(f295(f297(f910(f903(x97011),f903(x97011))),f295(f295(f217(f903(x97011),f903(x97011)),x97013),x97014)),f146(x97011,x97015))) % 192.26/192.34 [9899]E(f295(f295(f140(x98991),f652(x98992,x98993,x98994,x98995,x98991)),f655(x98992,x98993,x98994,x98995,x98991)),x98995)+~P1(f295(f295(f297(f910(f903(x98991),f903(x98991))),f295(f295(f217(f903(x98991),f903(x98991)),x98995),f295(f295(f140(x98991),x98994),x98993))),f147(x98991,x98992))) % 192.26/192.34 [9921]E(f295(f295(f140(x99211),f653(x99212,x99213,x99214,x99215,x99211)),f654(x99212,x99213,x99214,x99215,x99211)),x99213)+~P1(f295(f295(f297(f910(f903(x99211),f903(x99211))),f295(f295(f217(f903(x99211),f903(x99211)),f295(f295(f140(x99211),x99215),x99214)),x99213)),f147(x99211,x99212))) % 192.26/192.34 [9944]~P43(x99442,x99441,x99445,x99444,x99443)+E(f295(f79(x99441,x99442,x99442,x99441,x99443,x99444),f36(x99442)),f36(x99441)) % 192.26/192.34 [10069]~P1(f295(f295(f297(f910(f903(x100691),f903(x100691))),f295(f295(f217(f903(x100691),f903(x100691)),f295(f295(f140(x100691),x100695),x100692)),x100694)),f147(x100691,x100693)))+P1(f295(f295(f297(f910(f903(x100691),f903(x100691))),f295(f295(f217(f903(x100691),f903(x100691)),x100692),f654(x100693,x100694,x100692,x100695,x100691))),f147(x100691,x100693))) % 192.26/192.34 [10144]~P1(f295(f295(f297(f910(f903(x101441),f903(x101441))),f295(f295(f217(f903(x101441),f903(x101441)),x101445),f295(f295(f140(x101441),x101444),x101443))),f147(x101441,x101442)))+P1(f295(f295(f297(f910(f903(x101441),f903(x101441))),f295(f295(f217(f903(x101441),f903(x101441)),f655(x101442,x101443,x101444,x101445,x101441)),x101443)),f147(x101441,x101442))) % 192.26/192.34 [10252]~P43(x102521,x102522,x102525,x102524,x102523)+E(f295(f79(a897,a897,f911(x102521,f911(x102521,x102521)),f911(x102522,f911(x102522,x102522)),f36(a897),f79(x102522,x102521,f911(x102521,x102521),f911(x102522,x102522),x102523,f79(x102522,x102521,x102521,x102522,x102523,x102524))),f103(x102521)),f103(x102522)) % 192.26/192.34 [10314]~P43(x103141,x103143,x103142,x103144,x103145)+P1(f295(f295(f235(f911(x103141,a897),f911(x103141,a897),a897,a897,f235(x103141,x103141,a897,a897,x103142,a292),a292),f238(x103141,x103142)),f238(x103141,x103142))) % 192.26/192.34 [10383]P1(f295(f295(f297(f910(x103831,x103831)),f295(f295(f217(x103831,x103831),f295(x103832,f295(f295(f83(a902),x103833),x103834))),f295(x103832,x103833))),f273(x103831,x103835)))+~P1(f295(f295(f297(f910(x103831,x103831)),f295(f295(f217(x103831,x103831),f295(x103832,f295(a119,f774(x103834,x103833,x103835,x103832,x103831)))),f295(x103832,f774(x103834,x103833,x103835,x103832,x103831)))),f273(x103831,x103835))) % 192.26/192.34 [10384]E(x103841,f2(a106))+E(f204(f910(f903(x103842),x103843),f910(x103842,x103843),f295(f295(f217(f903(x103842),x103843),f120(x103842)),x103844),f295(f228(x103842,x103843,f910(f903(x103842),x103843)),f295(f295(f7(x103842,f911(x103843,f910(f903(x103842),x103843)),f911(x103843,f910(f903(x103842),x103843))),f295(f295(f8(f911(f910(f903(x103842),x103843),f910(f903(x103842),x103843)),f911(f911(x103843,f910(f903(x103842),x103843)),f911(x103843,f910(f903(x103842),x103843))),x103842),f8(f910(f903(x103842),x103843),f910(f903(x103842),x103843),x103843)),f295(f295(f8(f911(f903(x103842),f911(x103843,f910(f903(x103842),x103843))),f911(f910(f903(x103842),x103843),f910(f903(x103842),x103843)),x103842),f228(f903(x103842),x103843,f910(f903(x103842),x103843))),f295(f295(f8(f911(f903(x103842),f903(x103842)),f911(f903(x103842),f911(x103843,f910(f903(x103842),x103843))),x103842),f295(f8(f903(x103842),f911(x103843,f910(f903(x103842),x103843)),f903(x103842)),f217(f903(x103842),x103843))),f140(x103842))))),f124(x103843,x103842,x103845,f295(f295(f23(a106),x103841),f81(a106))))),f295(x103845,x103844)),f295(f124(x103843,x103842,x103845,x103841),x103844)) % 192.26/192.34 [10388]~P43(x103881,x103883,x103882,x103884,x103885)+P1(f295(f295(f235(a897,a897,f911(x103881,f911(x103881,x103881)),f911(x103881,f911(x103881,x103881)),a292,f235(x103881,x103881,f911(x103881,x103881),f911(x103881,x103881),x103882,f235(x103881,x103881,x103881,x103881,x103882,x103882))),f103(x103881)),f103(x103881))) % 192.26/192.34 [5398]E(x53981,x53982)+~E(f295(f295(f140(x53983),x53984),x53981),f295(f295(f140(x53983),x53985),x53982)) % 192.26/192.34 [5399]E(x53991,x53992)+~E(f295(f295(f140(x53993),x53991),x53994),f295(f295(f140(x53993),x53992),x53995)) % 192.26/192.34 [5447]P1(f295(x54471,x54472))+~E(f295(f125(x54473,x54471),x54474),f295(f295(f140(x54473),x54472),x54475)) % 192.26/192.34 [5448]P1(f295(x54481,x54482))+~E(f295(f295(f140(x54483),x54482),x54484),f295(f125(x54483,x54481),x54485)) % 192.26/192.34 [5609]~E(f295(f295(f127(x56091),x56093),x56092),f295(f295(f140(x56091),x56094),x56095))+E(f295(f295(f153(x56091),x56092),x56093),x56094) % 192.26/192.34 [5745]~P13(x57454,x57455,x57451)+E(f295(f295(x57451,x57452),f295(f295(x57451,x57452),x57453)),f295(f295(x57451,x57452),x57453)) % 192.26/192.34 [6343]~P114(x63432)+~E(f295(f295(f137(x63431,x63432,x63433),x63434),x63435),f120(x63431)) % 192.26/192.34 [6487]~P42(x64872,x64874,x64871,x64875)+E(f295(f295(x64871,f36(x64872)),x64873),x64873) % 192.26/192.34 [6726]E(x67261,x67262)+~E(f295(f295(f122(x67263),x67264),f295(f295(f140(x67263),x67261),f120(x67263))),f295(f295(f122(x67263),x67265),f295(f295(f140(x67263),x67262),f120(x67263)))) % 192.26/192.34 [6727]E(x67271,x67272)+~E(f295(f295(f122(x67273),x67271),f295(f295(f140(x67273),x67274),f120(x67273))),f295(f295(f122(x67273),x67272),f295(f295(f140(x67273),x67275),f120(x67273)))) % 192.26/192.34 [7034]E(f295(f295(f275(x70341),f295(x70342,x70343)),f295(f276(x70344,x70341,x70342),x70345)),f295(f276(x70344,x70341,x70342),x70345))+~P1(f295(f295(f297(x70344),x70343),x70345)) % 192.26/192.34 [7041]~P1(f295(x70414,f295(x70413,x70415)))+P1(f295(f295(f278(x70411,x70412,x70413),x70414),x70415)) % 192.26/192.34 [7046]~E(x70464,f2(a106))+E(f295(f124(x70461,x70462,x70463,x70464),x70465),f295(f295(f217(f903(x70462),x70461),f120(x70462)),x70465)) % 192.26/192.34 [7139]~E(f295(f276(x71391,x71392,x71393),x71394),x71395)+E(f295(f276(f911(x71391,a897),f911(x71392,a897),f276(x71391,x71392,x71393)),f295(f274(x71391),x71394)),f295(f274(x71392),x71395)) % 192.26/192.34 [7167]E(f295(f237(x71671,x71672,x71673,x71674),x71675),f295(x71674,x71675))+~P1(f295(f295(f297(x71671),x71675),x71673)) % 192.26/192.34 [7479]P24(x74791,x74792,x74793,x74794)+~P24(x74791,x74792,x74793,f295(f295(f275(x74791),x74795),x74794)) % 192.26/192.34 [7547]P1(f295(x75471,x75472))+~P1(f295(f295(f99(x75473,x75474,x75471),x75475),x75472)) % 192.26/192.34 [7587]~P1(f295(f295(f297(x75874),x75873),x75875))+P1(f295(f295(f297(x75871),f295(x75872,x75873)),f295(f276(x75874,x75871,x75872),x75875))) % 192.26/192.34 [7609]~P114(x76092)+E(f139(x76091,x76092,x76093,f295(f125(x76091,x76094),x76095)),f295(f125(x76091,x76094),f139(x76091,x76092,x76093,x76095))) % 192.26/192.34 [7642]P1(f295(x76421,f295(x76422,x76423)))+~P1(f295(f295(f278(x76424,x76425,x76422),x76421),x76423)) % 192.26/192.34 [7643]P1(f295(f295(x76431,x76432),x76433))+~P1(f295(f295(f99(x76434,x76431,x76435),x76432),x76433)) % 192.26/192.34 [7704]~P1(f295(f295(f297(x77043),f295(x77044,x77042)),x77045))+P1(f295(f295(f297(x77041),x77042),f295(f278(x77041,x77043,x77044),x77045))) % 192.26/192.34 [8101]~P1(f295(f295(f297(x81015),x81013),f295(f278(x81015,x81011,x81012),x81014)))+P1(f295(f295(f297(x81011),f295(x81012,x81013)),x81014)) % 192.26/192.34 [8407]~P15(x84072,x84071,x84073)+E(f295(f131(x84071,x84072,f295(f7(x84072,x84071,x84071),x84073),x84074),f141(x84072,x84075)),f295(f295(f65(x84072,x84071,x84073),x84074),f295(f160(x84072),x84075))) % 192.26/192.34 [8429]E(f295(x84291,f319(x84292,x84291,x84293,x84294)),x84294)+~P1(f295(f295(f297(x84295),x84294),f295(f276(x84293,x84295,x84291),x84292))) % 192.26/192.34 [8430]E(f295(x84301,f344(x84302,x84301,x84303,x84304)),x84304)+~P1(f295(f295(f297(x84305),x84304),f295(f276(x84303,x84305,x84301),x84302))) % 192.26/192.34 [8735]~E(x87352,f295(f295(f140(x87351),x87354),x87355))+P1(f295(f295(f297(f910(f903(x87351),f903(x87351))),f295(f295(f217(f903(x87351),f903(x87351)),f120(x87351)),x87352)),f136(x87351,x87353))) % 192.26/192.34 [8794]E(f295(x87941,f295(f94(x87942,x87943,x87944,x87941),x87945)),x87945)+~P1(f295(f295(f297(x87943),x87945),f295(f276(x87942,x87943,x87941),x87944))) % 192.26/192.34 [8797]P24(x87971,x87972,f94(x87972,x87971,x87973,x87974),x87975)+~P1(f295(f295(f207(f911(x87971,a897)),x87975),f295(f276(x87972,x87971,x87974),x87973))) % 192.26/192.34 [8804]~P34(x88041,x88043,x88045,x88042,x88044)+E(f295(f177(f903(x88041)),x88042),f295(f177(f903(x88043)),x88044)) % 192.26/192.34 [8814]P1(f295(f295(f207(f911(x88141,a897)),f295(f295(f43(x88142,f911(x88141,a897)),x88143),x88144)),f295(x88144,x88145)))+~P1(f295(f295(f297(x88142),x88145),x88143)) % 192.26/192.34 [8865]~P62(x88651,x88652,x88653,x88655,x88654)+E(f295(f276(x88651,x88652,x88653),f214(f911(x88651,a897))),x88654) % 192.26/192.34 [8919]~P43(x89191,x89192,x89195,x89193,x89194)+E(f295(f295(f74(x89191,x89192,x89192),x89193),x89194),f36(x89192)) % 192.26/192.34 [9102]E(f295(f125(x91021,x91022),f783(x91023,x91024,x91025,x91022,x91021)),x91023)+~E(f295(f125(x91021,x91022),x91025),f295(f295(f140(x91021),x91024),x91023)) % 192.26/192.34 [9103]E(f295(f125(x91031,x91032),f767(x91033,x91032,x91034,x91035,x91031)),x91034)+~E(f295(f295(f140(x91031),x91035),x91034),f295(f125(x91031,x91032),x91033)) % 192.26/192.34 [9205]E(f295(f177(f903(x92051)),x92052),x92053)+~P1(f295(f295(f297(f910(f903(x92051),f903(x92051))),f295(f295(f217(f903(x92051),f903(x92051)),x92054),x92052)),f295(f132(x92051,x92055),x92053))) % 192.26/192.34 [9206]E(f295(f177(f903(x92061)),x92062),x92063)+~P1(f295(f295(f297(f910(f903(x92061),f903(x92061))),f295(f295(f217(f903(x92061),f903(x92061)),x92062),x92064)),f295(f132(x92061,x92065),x92063))) % 192.26/192.34 [9267]P1(f295(f295(f297(x92671),f319(x92672,x92673,x92671,x92674)),x92672))+~P1(f295(f295(f297(x92675),x92674),f295(f276(x92671,x92675,x92673),x92672))) % 192.26/192.34 [9268]P1(f295(f295(f297(x92681),f344(x92682,x92683,x92681,x92684)),x92682))+~P1(f295(f295(f297(x92685),x92684),f295(f276(x92681,x92685,x92683),x92682))) % 192.26/192.34 [9425]E(f295(f276(x94251,x94252,x94253),f320(x94254,x94253,x94251,x94255,x94252)),x94255)+~P1(f295(f295(f207(f911(x94252,a897)),x94255),f295(f276(x94251,x94252,x94253),x94254))) % 192.26/192.34 [9718]P1(f295(f295(f297(f910(f903(x97181),f903(x97181))),f295(f295(f217(f903(x97181),f903(x97181)),f295(f295(f140(x97181),x97182),x97183)),f295(f295(f140(x97181),x97182),x97184))),f273(f903(x97181),f146(x97181,x97185))))+~P1(f295(f295(f297(f910(f903(x97181),f903(x97181))),f295(f295(f217(f903(x97181),f903(x97181)),x97183),x97184)),f273(f903(x97181),f146(x97181,x97185)))) % 192.26/192.34 [9747]~E(f295(x97473,f698(x97475,x97474,x97473,x97472,x97471)),f295(x97475,f698(x97475,x97474,x97473,x97472,x97471)))+E(f295(f295(f143(x97471,x97472),x97473),x97474),f295(f295(f143(x97471,x97472),x97475),x97474)) % 192.26/192.34 [9826]~E(f295(f125(x98261,x98265),x98264),f295(f295(f140(x98261),x98263),x98262))+E(f295(f295(f122(x98261),f784(x98262,x98263,x98264,x98265,x98261)),f295(f295(f140(x98261),x98263),f783(x98262,x98263,x98264,x98265,x98261))),x98264) % 192.26/192.34 [9827]~E(f295(f295(f140(x98271),x98275),x98274),f295(f125(x98271,x98273),x98272))+E(f295(f295(f122(x98271),f768(x98272,x98273,x98274,x98275,x98271)),f295(f295(f140(x98271),x98275),f767(x98272,x98273,x98274,x98275,x98271))),x98272) % 192.26/192.34 [9831]E(f295(f295(f143(x98311,x98312),x98313),x98314),f295(f295(f143(x98311,x98312),x98315),x98314))+P1(f295(f295(f297(x98311),f698(x98313,x98314,x98315,x98312,x98311)),f295(f160(x98311),x98314))) % 192.26/192.34 [9865]~P1(f295(f295(f297(x98655),x98654),f295(f252(x98651,x98655,x98653),x98652)))+P1(f295(f295(f297(x98651),f588(x98652,x98653,x98651,x98654,x98655)),x98652)) % 192.26/192.34 [9866]~P1(f295(f295(f297(x98665),x98664),f295(f252(x98661,x98665,x98663),x98662)))+P1(f295(f295(f297(x98661),f628(x98662,x98663,x98661,x98664,x98665)),x98662)) % 192.26/192.34 [9895]~P1(f295(f295(f207(f911(x98955,a897)),x98954),f295(f276(x98951,x98955,x98953),x98952)))+P1(f295(f295(f207(f911(x98951,a897)),f320(x98952,x98953,x98951,x98954,x98955)),x98952)) % 192.26/192.34 [6105]~P26(x61055,x61051)+E(f295(f295(x61051,f295(f295(x61051,x61052),x61053)),x61054),f295(f295(x61051,x61052),f295(f295(x61051,x61053),x61054))) % 192.26/192.34 [6162]E(x61621,x61622)+~E(f295(f227(x61623,x61624),f295(f295(f217(x61623,x61624),x61625),x61621)),x61622) % 192.26/192.34 [6163]E(x61631,x61632)+~E(f295(f216(x61633,x61634),f295(f295(f217(x61633,x61634),x61631),x61635)),x61632) % 192.26/192.34 [6416]~E(x64163,f295(f295(f122(x64161),x64164),f295(f295(f140(x64161),x64162),x64165)))+P1(f295(f295(f297(x64161),x64162),f295(f160(x64161),x64163))) % 192.26/192.34 [6812]E(f295(f276(x68121,x68122,f295(f16(x68122,x68121),x68123)),x68124),f295(f295(f275(x68122),x68123),f176(f911(x68122,a897))))+~P1(f295(f295(f297(x68121),x68125),x68124)) % 192.26/192.34 [6879]E(f295(f295(f117(f911(x68791,a897)),f295(f160(x68791),x68792)),f295(f160(x68791),x68793)),f295(f160(x68791),x68794))+~E(f155(x68791,x68795,x68794),f295(f295(f217(f903(x68791),f903(x68791)),x68792),x68793)) % 192.26/192.34 [6975]~P114(x69752)+E(f295(f177(f903(x69751)),f295(f295(f137(x69751,x69752,x69753),x69754),x69755)),f295(a119,f295(f177(f903(x69751)),x69755))) % 192.26/192.34 [6987]~P114(x69872)+E(f295(f160(x69871),f295(f295(f137(x69871,x69872,x69873),x69874),x69875)),f295(f295(f275(x69871),x69874),f295(f160(x69871),x69875))) % 192.26/192.34 [7262]~P123(x72621)+E(f295(f295(f83(x72621),f295(f295(f83(x72621),x72622),x72623)),f295(f295(f83(x72621),x72624),x72625)),f295(f295(f83(x72621),f295(f295(f83(x72621),x72622),x72624)),f295(f295(f83(x72621),x72623),x72625))) % 192.26/192.34 [7263]~P123(x72631)+E(f295(f295(f84(x72631),f295(f295(f84(x72631),x72632),x72633)),f295(f295(f84(x72631),x72634),x72635)),f295(f295(f84(x72631),f295(f295(f84(x72631),x72632),x72634)),f295(f295(f84(x72631),x72633),x72635))) % 192.26/192.34 [7264]~P72(x72641)+E(f295(f295(f256(x72641),f295(f295(f84(x72641),x72642),x72643)),f295(f295(f84(x72641),x72644),x72645)),f295(f295(f84(x72641),f295(f295(f256(x72641),x72642),x72644)),f295(f295(f256(x72641),x72643),x72645))) % 192.26/192.34 [7278]~P114(x72781)+E(f272(x72781,f295(f295(f206(x72781),x72782),x72783),f295(f295(f205(x72781),x72784),x72785)),f295(f295(f108(f911(x72781,a897)),f272(x72781,x72782,x72784)),f272(x72781,x72783,x72785))) % 192.26/192.34 [7279]~P114(x72791)+E(f271(x72791,f295(f295(f206(x72791),x72792),x72793),f295(f295(f205(x72791),x72794),x72795)),f295(f295(f108(f911(x72791,a897)),f271(x72791,x72792,x72794)),f271(x72791,x72793,x72795))) % 192.26/192.34 [7280]~P114(x72801)+E(f269(x72801,f295(f295(f206(x72801),x72802),x72803),f295(f295(f205(x72801),x72804),x72805)),f295(f295(f108(f911(x72801,a897)),f269(x72801,x72802,x72804)),f269(x72801,x72803,x72805))) % 192.26/192.34 [7281]~P114(x72811)+E(f295(f295(f108(f911(x72811,a897)),f295(f268(x72811,x72812),x72813)),f295(f268(x72811,x72814),x72815)),f295(f268(x72811,f295(f295(f206(x72811),x72812),x72814)),f295(f295(f205(x72811),x72813),x72815))) % 192.26/192.34 [7402]~P1(f295(x74021,f583(x74023,x74022,x74021)))+P1(f295(x74021,f295(f295(f217(x74022,x74023),x74024),x74025))) % 192.26/192.34 [7512]~E(x75122,f295(x75124,x75125))+P1(f295(f295(f297(x75121),x75122),f295(f276(x75123,x75121,x75124),f214(f911(x75123,a897))))) % 192.26/192.34 [7584]~P13(x75843,x75842,x75844)+P13(x75841,x75842,f295(f295(f8(x75843,f911(x75842,x75842),x75841),x75844),x75845)) % 192.26/192.34 [7585]~P15(x75853,x75852,x75854)+P15(x75851,x75852,f295(f295(f8(x75853,f911(x75852,x75852),x75851),x75854),x75855)) % 192.26/192.34 [7720]~P24(x77201,x77202,x77203,x77204)+P24(x77201,x77202,x77203,f295(f295(f23(f911(x77201,a897)),x77204),x77205)) % 192.26/192.34 [7877]~P1(f295(f295(x78773,x78774),x78775))+P1(f295(f295(f228(x78771,x78772,a897),x78773),f295(f295(f217(x78771,x78772),x78774),x78775))) % 192.26/192.34 [7990]~P1(f295(x79902,x79904))+~E(f295(f295(f127(x79901),f295(f177(f903(x79901)),f164(x79901,x79902,x79903))),x79903),f295(f295(f140(x79901),x79904),x79905)) % 192.26/192.34 [8010]P24(x80101,x80102,x80103,x80104)+~P24(x80101,x80102,x80103,f295(f295(f117(f911(x80101,a897)),x80105),x80104)) % 192.26/192.34 [8011]P24(x80111,x80112,x80113,x80114)+~P24(x80111,x80112,x80113,f295(f295(f117(f911(x80111,a897)),x80114),x80115)) % 192.26/192.34 [8058]~P114(x80582)+E(f295(f295(f137(x80581,x80582,x80583),x80584),f139(x80581,x80582,x80583,x80585)),f139(x80581,x80582,x80583,f295(f295(f140(x80581),x80584),x80585))) % 192.26/192.34 [8383]~P13(x83832,x83831,x83833)+E(f295(f131(x83831,x83832,f295(f7(x83832,x83831,x83831),x83833),x83834),x83835),f295(f295(f65(x83832,x83831,x83833),x83834),f295(f160(x83832),x83835))) % 192.26/192.34 [8413]~E(f295(f295(f127(x84131),f295(f177(f903(x84131)),f164(x84131,x84132,x84133))),x84133),f295(f295(f140(x84131),x84134),x84135))+E(f295(f295(f122(x84131),f164(x84131,x84132,x84133)),f295(f295(f140(x84131),x84134),x84135)),x84133) % 192.26/192.34 [8441]P1(f295(f295(x84411,x84412),x84413))+~P1(f295(f295(f228(x84414,x84415,a897),x84411),f295(f295(f217(x84414,x84415),x84412),x84413))) % 192.26/192.34 [8930]P1(f295(f295(f207(f911(x89301,a897)),f295(f276(x89302,x89301,x89303),x89304)),f295(f276(x89302,x89301,x89303),x89305)))+~P1(f295(f295(f207(f911(x89302,a897)),x89304),x89305)) % 192.26/192.34 [8931]P1(f295(f295(f207(f911(x89311,a897)),f295(f278(x89311,x89312,x89313),x89314)),f295(f278(x89311,x89312,x89313),x89315)))+~P1(f295(f295(f207(f911(x89312,a897)),x89314),x89315)) % 192.26/192.34 [9013]E(x90131,f2(a106))+E(f295(f295(f230(x90132,x90133,x90132,f910(x90133,x90132)),f295(x90134,x90135)),f244(x90133,x90132,f295(f295(f23(a106),x90131),f81(a106)),x90134)),f295(f244(x90133,x90132,x90131,x90134),x90135)) % 192.26/192.34 [9575]~P1(f295(f295(f297(x95752),x95755),f295(f276(x95751,x95752,x95754),x95753)))+P1(f295(f295(f297(x95751),f295(f94(x95751,x95752,x95753,x95754),x95755)),x95753)) % 192.26/192.34 [9660]~P1(f295(f62(x96603),f295(f276(x96602,x96603,x96605),f214(f911(x96602,a897)))))+P1(f295(f62(x96601),f295(f276(x96602,x96601,f295(f295(f8(x96603,x96601,x96602),x96604),x96605)),f214(f911(x96602,a897))))) % 192.26/192.34 [9683]P1(f295(f295(f207(f911(f911(x96831,a897),a897)),f295(f276(f911(x96832,a897),f911(x96831,a897),f276(x96832,x96831,x96833)),f295(f274(x96832),x96834))),f295(f274(x96831),x96835)))+~P1(f295(f295(f207(f911(x96831,a897)),f295(f276(x96832,x96831,x96833),x96834)),x96835)) % 192.26/192.34 [9756]E(x97561,x97562)+~P1(f295(f67(x97563,x97564,x97565,x97561,f176(f911(x97563,a897))),x97562)) % 192.26/192.34 [9771]E(f295(f295(f217(x97711,x97712),f627(x97713,x97714,x97715,x97712,x97711)),f629(x97713,x97714,x97715,x97712,x97711)),x97715)+~P1(f295(f295(f297(f910(x97711,x97712)),x97715),f295(f295(f226(x97711,x97712),x97714),x97713))) % 192.26/192.34 [9871]P1(f295(f295(f297(x98711),f627(x98712,x98713,x98714,x98715,x98711)),x98713))+~P1(f295(f295(f297(f910(x98711,x98715)),x98714),f295(f295(f226(x98711,x98715),x98713),x98712))) % 192.26/192.34 [9879]P1(f295(f295(f297(x98791),f345(x98792,x98793,x98794,x98795,x98791)),x98795))+P1(f295(f295(f207(f911(x98794,a897)),f295(f276(x98791,x98794,x98793),x98795)),x98792)) % 192.26/192.34 [9967]~P23(x99671,x99672,f295(f295(f275(f901(x99671)),f98(x99671,f99(x99671,x99673,x99674),x99675,x99673)),f176(f911(f901(x99671),a897))))+P23(x99671,x99672,f295(f295(f275(f901(x99671)),f98(x99671,x99673,f32(x99674,x99675),f99(x99671,x99673,f295(f295(f74(a897,a897,a899),a291),x99674)))),f176(f911(f901(x99671),a897)))) % 192.26/192.34 [10023]P1(f295(f295(f297(x100231),f629(x100232,x100233,x100234,x100231,x100235)),f295(x100232,f627(x100232,x100233,x100234,x100231,x100235))))+~P1(f295(f295(f297(f910(x100235,x100231)),x100234),f295(f295(f226(x100235,x100231),x100233),x100232))) % 192.26/192.34 [10045]P1(f295(f295(f297(f910(x100451,x100451)),f295(f295(f217(x100451,x100451),x100452),f794(x100453,x100454,x100455,x100452,x100451))),x100453))+~P1(f295(f295(f297(f910(x100451,x100451)),f295(f295(f217(x100451,x100451),x100452),x100455)),f295(f295(f170(f910(x100451,x100451),a897),f295(a119,x100454)),x100453))) % 192.26/192.34 [10046]P1(f295(f295(f297(f910(x100461,x100461)),f295(f295(f217(x100461,x100461),x100462),f795(x100463,x100464,x100465,x100462,x100461))),x100463))+~P1(f295(f295(f297(f910(x100461,x100461)),f295(f295(f217(x100461,x100461),x100462),x100465)),f295(f295(f170(f910(x100461,x100461),a897),f295(a119,x100464)),x100463))) % 192.26/192.34 [10066]~P1(f295(f295(f297(f910(f903(x100661),f903(x100661))),f295(f295(f217(f903(x100661),f903(x100661)),f295(f295(f140(x100661),x100662),x100665)),x100664)),f147(x100661,x100663)))+P1(f295(f295(f297(f910(x100661,x100661)),f295(f295(f217(x100661,x100661),x100662),f653(x100663,x100664,x100665,x100662,x100661))),x100663)) % 192.26/192.34 [10088]~P1(f295(f295(f297(x100881),f295(x100883,f345(x100885,x100883,x100881,x100884,x100882))),x100885))+P1(f295(f295(f207(f911(x100881,a897)),f295(f276(x100882,x100881,x100883),x100884)),x100885)) % 192.26/192.34 [10313]~P43(x103131,x103133,x103132,x103134,x103135)+P1(f295(f295(f235(x103131,x103131,f911(x103131,a897),f911(x103131,a897),x103132,f235(x103131,x103131,a897,a897,x103132,a292)),x103132),x103132)) % 192.26/192.34 [6494]P1(f295(x64942,x64944))+E(f164(x64941,x64942,f295(f295(f122(x64941),x64943),f295(f295(f140(x64941),x64944),x64945))),f164(x64941,x64942,x64943)) % 192.26/192.34 [6543]~P99(x65432)+E(f295(f295(f295(f117(f911(x65431,x65432)),x65433),x65434),x65435),f295(f295(f117(x65432),f295(x65433,x65435)),f295(x65434,x65435))) % 192.26/192.34 [6545]~P99(x65452)+E(f295(f295(f295(f108(f911(x65451,x65452)),x65453),x65454),x65455),f295(f295(f108(x65452),f295(x65453,x65455)),f295(x65454,x65455))) % 192.26/192.34 [6547]~P66(x65472)+E(f295(f295(f295(f23(f911(x65471,x65472)),x65473),x65474),x65475),f295(f295(f23(x65472),f295(x65473,x65475)),f295(x65474,x65475))) % 192.26/192.34 [6566]E(x65661,x65662)+E(f295(f295(f153(x65663),f295(f295(f148(x65663,x65664),x65661),x65665)),x65662),f295(f295(f153(x65663),x65664),x65662)) % 192.26/192.34 [6829]~E(x68294,f176(f911(x68293,a897)))+E(f295(f295(f117(f911(x68291,a897)),x68292),f295(f295(f44(x68293,f911(x68291,a897)),x68294),x68295)),x68292) % 192.26/192.34 [6830]~E(x68304,f176(f911(x68303,a897)))+E(f295(f295(f108(f911(x68301,a897)),x68302),f295(f295(f43(x68303,f911(x68301,a897)),x68304),x68305)),x68302) % 192.26/192.34 [6831]~E(x68314,f176(f911(x68313,a897)))+E(f295(f295(f23(f911(x68311,a897)),x68312),f295(f295(f44(x68313,f911(x68311,a897)),x68314),x68315)),x68312) % 192.26/192.34 [6845]~E(x68454,f176(f911(x68453,a897)))+E(f295(f295(f275(x68451),x68452),f295(f295(f44(x68453,f911(x68451,a897)),x68454),x68455)),f295(f295(f275(x68451),x68452),f176(f911(x68451,a897)))) % 192.26/192.34 [7632]E(f295(f295(f153(x76321),f295(f295(f143(x76322,x76321),x76323),x76324)),x76325),f295(x76323,f295(f295(f153(x76322),x76324),x76325)))+~P1(f295(f295(f208(a902),x76325),f295(f177(f903(x76322)),x76324))) % 192.26/192.34 [7692]E(f295(f295(f117(f911(x76921,a897)),f295(x76922,x76923)),f295(f295(f44(x76924,f911(x76921,a897)),x76925),x76922)),f295(f295(f44(x76924,f911(x76921,a897)),x76925),x76922))+~P1(f295(f295(f297(x76924),x76923),x76925)) % 192.26/192.34 [7693]E(f295(f295(f108(f911(x76931,a897)),f295(x76932,x76933)),f295(f295(f43(x76934,f911(x76931,a897)),x76935),x76932)),f295(f295(f43(x76934,f911(x76931,a897)),x76935),x76932))+~P1(f295(f295(f297(x76934),x76933),x76935)) % 192.26/192.34 [8303]~E(x83033,f176(f911(x83031,a897)))+E(f295(f295(f44(x83031,f911(x83032,a897)),x83033),f295(f295(f8(f911(x83032,a897),f911(x83032,a897),x83031),f295(f275(x83032),x83034)),x83035)),f176(f911(x83032,a897))) % 192.26/192.34 [8309]~P1(f295(f295(f297(x83094),x83093),x83095))+P1(f295(f295(f207(f911(x83091,a897)),f295(x83092,x83093)),f295(f295(f44(x83094,f911(x83091,a897)),x83095),x83092))) % 192.26/192.34 [8365]E(x83651,f295(f295(f295(a185,x83652),x83653),f295(x83654,x83652)))+~P1(f295(f295(f295(f295(a184,f27(x83653,x83654)),x83652),x83655),x83651)) % 192.26/192.34 [8440]~E(f295(x84404,x84402),x84405)+P1(f295(f295(f297(x84401),x84402),f295(f278(x84401,x84403,x84404),f295(f295(f275(x84403),x84405),f176(f911(x84403,a897)))))) % 192.26/192.34 [8485]~P60(x84851,x84852,f295(f253(x84852,x84851),x84853))+E(f295(f295(f108(f911(x84851,a897)),f295(f252(x84852,x84851,x84853),x84854)),f295(f252(x84852,x84851,x84853),x84855)),f295(f252(x84852,x84851,x84853),f295(f295(f108(f911(x84852,a897)),x84854),x84855))) % 192.26/192.34 [8600]E(x86001,f176(f911(x86002,a897)))+E(f295(f295(f44(x86002,f911(x86003,a897)),x86001),f295(f295(f8(f911(x86003,a897),f911(x86003,a897),x86002),f295(f275(x86003),x86004)),x86005)),f295(f295(f275(x86003),x86004),f295(f295(f44(x86002,f911(x86003,a897)),x86001),x86005))) % 192.26/192.34 [8653]~P24(x86532,x86531,x86533,f214(f911(x86532,a897)))+E(f295(f295(f108(f911(x86531,a897)),f295(f276(x86532,x86531,x86533),x86534)),f295(f276(x86532,x86531,x86533),x86535)),f295(f276(x86532,x86531,x86533),f295(f295(f108(f911(x86532,a897)),x86534),x86535))) % 192.26/192.34 [8654]~P24(x86542,x86541,x86543,f214(f911(x86542,a897)))+E(f295(f295(f23(f911(x86541,a897)),f295(f276(x86542,x86541,x86543),x86544)),f295(f276(x86542,x86541,x86543),x86545)),f295(f276(x86542,x86541,x86543),f295(f295(f23(f911(x86542,a897)),x86544),x86545))) % 192.26/192.34 [8722]~P1(f295(f295(f68(x87221,x87222,x87225),x87223),x87224))+P1(f295(f295(f297(f910(x87221,x87222)),f295(f295(f217(x87221,x87222),x87223),x87224)),x87225)) % 192.26/192.34 [8755]P1(f295(f295(f297(x87551),x87552),f295(f251(x87553,x87551),x87554)))+~P1(f295(f295(f297(f910(x87553,x87551)),f295(f295(f217(x87553,x87551),x87555),x87552)),x87554)) % 192.26/192.34 [8757]P1(f295(f295(f297(x87571),x87572),f295(f215(x87571,x87573),x87574)))+~P1(f295(f295(f297(f910(x87571,x87573)),f295(f295(f217(x87571,x87573),x87572),x87575)),x87574)) % 192.26/192.34 [8917]P1(f295(f295(f68(x89171,x89172,x89173),x89174),x89175))+~P1(f295(f295(f297(f910(x89171,x89172)),f295(f295(f217(x89171,x89172),x89174),x89175)),x89173)) % 192.26/192.34 [8953]E(f295(x89531,x89532),x89533)+~P1(f295(f295(f297(x89534),x89532),f295(f278(x89534,x89535,x89531),f295(f295(f275(x89535),x89533),f176(f911(x89535,a897)))))) % 192.26/192.34 [9202]P1(f295(f295(f297(f910(x92021,x92022)),f295(f295(f217(x92021,x92022),x92023),x92024)),f295(f253(x92022,x92021),x92025)))+~P1(f295(f295(f297(f910(x92022,x92021)),f295(f295(f217(x92022,x92021),x92024),x92023)),x92025)) % 192.26/192.34 [9216]~P1(f295(f295(x92161,x92165),x92164))+P1(f295(f295(x92161,f295(f227(x92162,x92163),f295(f295(f217(x92162,x92163),x92164),x92165))),f295(f216(x92162,x92163),f295(f295(f217(x92162,x92163),x92164),x92165)))) % 192.26/192.34 [9244]~P1(f295(f295(f297(f910(x92442,x92441)),f295(f295(f217(x92442,x92441),x92444),x92443)),f295(f253(x92441,x92442),x92445)))+P1(f295(f295(f297(f910(x92441,x92442)),f295(f295(f217(x92441,x92442),x92443),x92444)),x92445)) % 192.26/192.34 [9275]~P1(f295(f295(f297(f910(x92753,x92751)),f295(f295(f217(x92753,x92751),x92755),x92752)),x92754))+P1(f295(f295(f297(x92751),x92752),f295(f252(x92753,x92751,x92754),f295(f295(f275(x92753),x92755),f176(f911(x92753,a897)))))) % 192.26/192.34 [9321]P1(f295(f295(f297(f910(x93211,x93212)),f295(f295(f217(x93211,x93212),x93213),x93214)),x93215))+~P1(f295(f295(f297(x93212),x93214),f295(f252(x93211,x93212,x93215),f295(f295(f275(x93211),x93213),f176(f911(x93211,a897)))))) % 192.26/192.34 [9402]~P77(x94021)+E(f295(f295(f6(a902,x94021),x94022),f269(a902,f295(f295(f83(a902),x94023),x94024),f295(f295(f83(a902),x94025),x94024))),f295(f295(f6(a902,x94021),f295(f295(f8(a902,x94021,a902),x94022),f295(f295(f7(a902,a902,a902),f83(a902)),x94024))),f269(a902,x94023,x94025))) % 192.26/192.34 [9428]~P77(x94281)+E(f295(f295(f6(a902,x94281),x94282),f295(f268(a902,f295(f295(f83(a902),x94283),x94284)),f295(f295(f83(a902),x94285),x94284))),f295(f295(f6(a902,x94281),f295(f295(f8(a902,x94281,a902),x94282),f295(f295(f7(a902,a902,a902),f83(a902)),x94284))),f295(f268(a902,x94283),x94285))) % 192.26/192.34 [9481]~P24(x94811,x94812,x94813,f214(f911(x94811,a897)))+E(f295(f295(f143(x94811,x94812),x94813),f295(f125(x94811,f295(f295(f8(a897,a897,x94811),a291),f295(a292,x94814))),x94815)),f295(f125(x94812,f295(f295(f8(a897,a897,x94812),a291),f295(a292,f295(x94813,x94814)))),f295(f295(f143(x94811,x94812),x94813),x94815))) % 192.26/192.34 [9501]~P24(x95011,x95012,x95013,f295(f295(f275(x95011),x95014),f295(f160(x95011),x95015)))+E(f295(f295(f143(x95011,x95012),x95013),f295(f125(x95011,f295(f295(f8(a897,a897,x95011),a291),f295(a292,x95014))),x95015)),f295(f125(x95012,f295(f295(f8(a897,a897,x95012),a291),f295(a292,f295(x95013,x95014)))),f295(f295(f143(x95011,x95012),x95013),x95015))) % 192.26/192.34 [9650]P1(f295(f295(f297(f910(f903(x96501),f903(x96501))),f295(f295(f217(f903(x96501),f903(x96501)),f295(f295(f140(x96501),x96502),x96503)),f295(f295(f140(x96501),x96504),x96503))),f146(x96501,x96505)))+~P1(f295(f295(f297(f910(x96501,x96501)),f295(f295(f217(x96501,x96501),x96502),x96504)),x96505)) % 192.26/192.34 [9684]P1(f295(f295(f295(f295(a184,x96841),x96842),x96843),f873(x96844,x96843,x96842,x96845,x96841)))+~P1(f295(f295(f295(f295(a184,f33(x96841,x96845)),x96842),x96843),x96844)) % 192.26/192.34 [9685]P1(f295(f295(f295(f295(a184,x96851),x96852),x96853),f884(x96854,x96853,x96852,x96855,x96851)))+~P1(f295(f295(f295(f295(a184,f33(x96851,x96855)),x96852),x96853),x96854)) % 192.26/192.34 [9766]E(f295(f295(f275(x97661),f404(x97662,x97663,x97664,x97665,x97661)),f405(x97662,x97663,x97664,x97665,x97661)),f295(f295(f275(x97661),x97664),x97663))+~P1(f295(f63(x97661,x97665,f295(f295(f275(x97661),x97664),x97663)),x97662)) % 192.26/192.34 [9767]E(f295(f295(f275(x97671),f406(x97672,x97673,x97674,x97675,x97671)),f407(x97672,x97673,x97674,x97675,x97671)),f295(f295(f275(x97671),x97674),x97673))+~P1(f295(f63(x97671,x97675,f295(f295(f275(x97671),x97674),x97673)),x97672)) % 192.26/192.34 [9853]P1(f295(f295(f297(x98531),f857(x98532,x98533,x98534,x98535,x98531)),x98534))+P1(f295(f295(f295(f43(x98531,f911(x98535,a897)),x98534),x98533),x98532)) % 192.26/192.34 [9854]P1(f295(f295(f297(x98541),f858(x98542,x98543,x98544,x98545,x98541)),x98545))+P1(f295(f295(f295(f43(x98541,f911(x98542,a897)),x98545),x98544),x98543)) % 192.26/192.34 [9859]P1(f295(f295(f297(x98591),f721(x98592,x98593,x98591,x98594,x98595)),x98593))+P1(f295(f295(f297(x98595),x98594),f295(f295(f43(x98591,f911(x98595,a897)),x98593),x98592))) % 192.26/192.34 [9860]P1(f295(f295(f297(x98601),f863(x98602,x98603,x98604,x98605,x98601)),x98605))+P1(f295(f295(f297(x98604),x98603),f295(f295(f43(x98601,f911(x98604,a897)),x98605),x98602))) % 192.26/192.34 [9869]P1(f295(f295(f297(x98691),f877(x98692,x98693,x98691,x98694,x98695)),x98693))+P1(f295(f295(f207(f911(x98695,a897)),x98694),f295(f295(f43(x98691,f911(x98695,a897)),x98693),x98692))) % 192.26/192.34 [9870]P1(f295(f295(f297(x98701),f885(x98702,x98703,x98704,x98705,x98701)),x98705))+P1(f295(f295(f207(f911(x98704,a897)),x98703),f295(f295(f43(x98701,f911(x98704,a897)),x98705),x98702))) % 192.26/192.34 [9872]P1(f295(f295(x98721,f859(x98722,x98721,x98723,x98724,x98725)),x98722))+~P1(f295(f295(f295(f44(x98725,f911(x98724,a897)),x98723),x98721),x98722)) % 192.26/192.34 [9873]P1(f295(f295(x98731,f864(x98732,x98731,x98733,x98734,x98735)),x98732))+~P1(f295(f295(f295(f44(x98735,f911(x98734,a897)),x98733),x98731),x98732)) % 192.26/192.34 [9877]P1(f295(f295(f297(x98771),f859(x98772,x98773,x98774,x98775,x98771)),x98774))+~P1(f295(f295(f295(f44(x98771,f911(x98775,a897)),x98774),x98773),x98772)) % 192.26/192.34 [9878]P1(f295(f295(f297(x98781),f864(x98782,x98783,x98784,x98785,x98781)),x98784))+~P1(f295(f295(f295(f44(x98781,f911(x98785,a897)),x98784),x98783),x98782)) % 192.26/192.34 [9887]P1(f295(f295(f297(x98871),f734(x98872,x98873,x98871,x98874,x98875)),x98873))+~P1(f295(f295(f297(x98875),x98874),f295(f295(f44(x98871,f911(x98875,a897)),x98873),x98872))) % 192.26/192.34 [9888]P1(f295(f295(f297(x98881),f865(x98882,x98883,x98881,x98884,x98885)),x98883))+~P1(f295(f295(f297(x98885),x98884),f295(f295(f44(x98881,f911(x98885,a897)),x98883),x98882))) % 192.26/192.34 [9892]P1(f295(f295(f297(x98921),x98922),f295(x98923,f734(x98923,x98924,x98925,x98922,x98921))))+~P1(f295(f295(f297(x98921),x98922),f295(f295(f44(x98925,f911(x98921,a897)),x98924),x98923))) % 192.26/192.34 [9893]P1(f295(f295(f297(x98931),x98932),f295(x98933,f865(x98933,x98934,x98935,x98932,x98931))))+~P1(f295(f295(f297(x98931),x98932),f295(f295(f44(x98935,f911(x98931,a897)),x98934),x98933))) % 192.26/192.34 [9973]~P1(f295(f295(x99734,f857(x99735,x99734,x99733,x99732,x99731)),x99735))+P1(f295(f295(f295(f43(x99731,f911(x99732,a897)),x99733),x99734),x99735)) % 192.26/192.34 [9974]~P1(f295(f295(x99744,f858(x99742,x99745,x99744,x99743,x99741)),x99745))+P1(f295(f295(f295(f43(x99741,f911(x99742,a897)),x99743),x99744),x99745)) % 192.26/192.34 [9977]~P1(f295(f295(f297(x99771),x99772),f295(x99775,f721(x99775,x99774,x99773,x99772,x99771))))+P1(f295(f295(f297(x99771),x99772),f295(f295(f43(x99773,f911(x99771,a897)),x99774),x99775))) % 192.26/192.34 [9978]~P1(f295(f295(f297(x99781),x99782),f295(x99785,f863(x99785,x99782,x99781,x99784,x99783))))+P1(f295(f295(f297(x99781),x99782),f295(f295(f43(x99783,f911(x99781,a897)),x99784),x99785))) % 192.26/192.34 [9982]~P1(f295(f295(f207(f911(x99821,a897)),x99822),f295(x99825,f877(x99825,x99824,x99823,x99822,x99821))))+P1(f295(f295(f207(f911(x99821,a897)),x99822),f295(f295(f43(x99823,f911(x99821,a897)),x99824),x99825))) % 192.26/192.34 [9983]~P1(f295(f295(f207(f911(x99831,a897)),x99832),f295(x99835,f885(x99835,x99832,x99831,x99834,x99833))))+P1(f295(f295(f207(f911(x99831,a897)),x99832),f295(f295(f43(x99833,f911(x99831,a897)),x99834),x99835))) % 192.26/192.34 [10029]P1(f295(f295(f295(f295(a184,x100291),f873(x100292,x100293,x100294,x100291,x100295)),x100293),x100292))+~P1(f295(f295(f295(f295(a184,f33(x100295,x100291)),x100294),x100293),x100292)) % 192.26/192.34 [10030]P1(f295(f295(f295(f295(a184,x100301),f884(x100302,x100303,x100304,x100301,x100305)),x100303),x100302))+~P1(f295(f295(f295(f295(a184,f33(x100305,x100301)),x100304),x100303),x100302)) % 192.26/192.34 [10049]~P1(f295(f295(f297(x100491),f404(x100495,x100494,x100493,x100492,x100491)),f405(x100495,x100494,x100493,x100492,x100491)))+~P1(f295(f63(x100491,x100492,f295(f295(f275(x100491),x100493),x100494)),x100495)) % 192.26/192.34 [10050]~P1(f295(f295(f297(x100501),f406(x100505,x100504,x100503,x100502,x100501)),f407(x100505,x100504,x100503,x100502,x100501)))+~P1(f295(f63(x100501,x100502,f295(f295(f275(x100501),x100503),x100504)),x100505)) % 192.26/192.34 [10052]~P1(f295(f295(f297(f910(x100521,x100521)),f295(f295(f217(x100521,x100521),x100522),x100525)),f295(f295(f170(f910(x100521,x100521),a897),f295(a119,x100524)),x100523)))+P1(f295(f295(f297(f910(x100521,x100521)),f295(f295(f217(x100521,x100521),x100522),f790(x100523,x100524,x100525,x100522,x100521))),f295(f295(f170(f910(x100521,x100521),a897),x100524),x100523))) % 192.26/192.34 [10059]P1(f295(f67(x100591,x100591,x100592,f404(x100593,x100594,x100595,x100592,x100591),f405(x100593,x100594,x100595,x100592,x100591)),x100593))+~P1(f295(f63(x100591,x100592,f295(f295(f275(x100591),x100595),x100594)),x100593)) % 192.26/192.34 [10060]P1(f295(f67(x100601,x100601,x100602,f406(x100603,x100604,x100605,x100602,x100601),f407(x100603,x100604,x100605,x100602,x100601)),x100603))+~P1(f295(f63(x100601,x100602,f295(f295(f275(x100601),x100605),x100604)),x100603)) % 192.26/192.34 [10070]~P114(x100701)+P12(x100701,f295(f295(f143(x100702,x100701),x100703),f295(f125(x100702,f295(f295(f7(x100702,x100701,a897),f295(f295(f8(x100701,f911(x100701,a897),x100702),a292),x100703)),f295(x100704,x100705))),x100705))) % 192.26/192.34 [10115]~P1(f295(f295(f297(x101152),x101155),f295(f252(x101151,x101152,x101154),x101153)))+P1(f295(f295(f297(f910(x101151,x101152)),f295(f295(f217(x101151,x101152),f588(x101153,x101154,x101151,x101155,x101152)),x101155)),x101154)) % 192.26/192.34 [10116]~P1(f295(f295(f297(x101162),x101165),f295(f252(x101161,x101162,x101164),x101163)))+P1(f295(f295(f297(f910(x101161,x101162)),f295(f295(f217(x101161,x101162),f628(x101163,x101164,x101161,x101165,x101162)),x101165)),x101164)) % 192.26/192.34 [10137]~P1(f295(f295(f297(f910(x101371,x101371)),f295(f295(f217(x101371,x101371),x101375),x101374)),f295(f295(f170(f910(x101371,x101371),a897),f295(a119,x101373)),x101372)))+P1(f295(f295(f297(f910(x101371,x101371)),f295(f295(f217(x101371,x101371),f790(x101372,x101373,x101374,x101375,x101371)),x101374)),x101372)) % 192.26/192.34 [10140]~P1(f295(f295(f297(f910(x101401,x101401)),f295(f295(f217(x101401,x101401),x101405),x101404)),f295(f295(f170(f910(x101401,x101401),a897),f295(a119,x101403)),x101402)))+P1(f295(f295(f297(f910(x101401,x101401)),f295(f295(f217(x101401,x101401),f794(x101402,x101403,x101404,x101405,x101401)),x101404)),f295(f295(f170(f910(x101401,x101401),a897),x101403),x101402))) % 192.26/192.34 [10141]~P1(f295(f295(f297(f910(x101411,x101411)),f295(f295(f217(x101411,x101411),x101415),x101414)),f295(f295(f170(f910(x101411,x101411),a897),f295(a119,x101413)),x101412)))+P1(f295(f295(f297(f910(x101411,x101411)),f295(f295(f217(x101411,x101411),f795(x101412,x101413,x101414,x101415,x101411)),x101414)),f295(f295(f170(f910(x101411,x101411),a897),x101413),x101412))) % 192.26/192.34 [10142]~P1(f295(f295(f297(f910(f903(x101421),f903(x101421))),f295(f295(f217(f903(x101421),f903(x101421)),x101425),f295(f295(f140(x101421),x101424),x101423))),f147(x101421,x101422)))+P1(f295(f295(f297(f910(x101421,x101421)),f295(f295(f217(x101421,x101421),f652(x101422,x101423,x101424,x101425,x101421)),x101424)),x101422)) % 192.26/192.34 [7713]~E(x77133,f176(f911(x77132,a897)))+E(f295(f295(f117(f911(x77131,a897)),f295(f295(f44(x77132,f911(x77131,a897)),x77133),x77134)),x77135),x77135) % 192.26/192.34 [7714]~E(x77143,f176(f911(x77142,a897)))+E(f295(f295(f108(f911(x77141,a897)),f295(f295(f43(x77142,f911(x77141,a897)),x77143),x77144)),x77145),x77145) % 192.26/192.34 [8144]~E(x81443,f176(f911(x81442,a897)))+E(f295(f295(f23(f911(x81441,a897)),f295(f295(f43(x81442,f911(x81441,a897)),x81443),x81444)),x81445),f295(f295(f23(f911(x81441,a897)),f214(f911(x81441,a897))),x81445)) % 192.26/192.34 [8279]E(f295(f295(f148(x82791,f295(f295(f122(x82791),x82792),x82793)),x82794),x82795),f295(f295(f122(x82791),f295(f295(f148(x82791,x82792),x82794),x82795)),x82793))+~P1(f295(f295(f208(a902),x82794),f295(f177(f903(x82791)),x82792))) % 192.26/192.34 [8549]E(f295(f295(f153(x85491),f295(f295(f143(a902,x85491),x85492),f128(a902,f295(f268(a902,x85493),x85494)))),x85495),f295(x85492,f295(f295(f83(a902),x85493),x85495)))+~P1(f295(f295(f208(a902),x85495),f295(f295(f23(a902),x85494),x85493))) % 192.26/192.34 [8587]~E(x85873,f176(f911(x85871,a897)))+E(f295(f295(f43(x85871,f911(x85872,a897)),x85873),f295(f295(f8(f911(x85872,a897),f911(x85872,a897),x85871),f295(f108(f911(x85872,a897)),x85874)),x85875)),f214(f911(x85872,a897))) % 192.26/192.34 [8588]~E(x85883,f176(f911(x85881,a897)))+E(f295(f295(f43(x85881,f911(x85882,a897)),x85883),f295(f295(f8(f911(x85882,a897),f911(x85882,a897),x85881),f295(f23(f911(x85882,a897)),x85884)),x85885)),f214(f911(x85882,a897))) % 192.26/192.34 [8589]~E(x85893,f176(f911(x85891,a897)))+E(f295(f295(f44(x85891,f911(x85892,a897)),x85893),f295(f295(f8(f911(x85892,a897),f911(x85892,a897),x85891),f295(f117(f911(x85892,a897)),x85894)),x85895)),f176(f911(x85892,a897))) % 192.26/192.34 [8594]~P147(x85942)+E(f295(f295(f6(x85941,x85942),f295(f295(f8(x85942,x85942,x85941),f295(f84(x85942),x85943)),x85944)),x85945),f295(f295(f84(x85942),x85943),f295(f295(f6(x85941,x85942),x85944),x85945))) % 192.26/192.34 [8898]E(x88981,f176(f911(x88982,a897)))+E(f295(f295(f43(x88982,f911(x88983,a897)),x88981),f295(f295(f8(f911(x88983,a897),f911(x88983,a897),x88982),f295(f108(f911(x88983,a897)),x88984)),x88985)),f295(f295(f108(f911(x88983,a897)),x88984),f295(f295(f43(x88982,f911(x88983,a897)),x88981),x88985))) % 192.26/192.34 [8899]E(x88991,f176(f911(x88992,a897)))+E(f295(f295(f43(x88992,f911(x88993,a897)),x88991),f295(f295(f8(f911(x88993,a897),f911(x88993,a897),x88992),f295(f23(f911(x88993,a897)),x88994)),x88995)),f295(f295(f23(f911(x88993,a897)),x88994),f295(f295(f44(x88992,f911(x88993,a897)),x88991),x88995))) % 192.26/192.34 [8900]E(x89001,f176(f911(x89002,a897)))+E(f295(f295(f44(x89002,f911(x89003,a897)),x89001),f295(f295(f8(f911(x89003,a897),f911(x89003,a897),x89002),f295(f117(f911(x89003,a897)),x89004)),x89005)),f295(f295(f117(f911(x89003,a897)),x89004),f295(f295(f44(x89002,f911(x89003,a897)),x89001),x89005))) % 192.26/192.34 [9109]~P1(f295(f295(f208(a902),f295(x91094,x91092)),f295(x91094,x91093)))+P1(f295(f295(f297(f910(x91091,x91091)),f295(f295(f217(x91091,x91091),x91092),x91093)),f142(x91091,f295(f295(f140(f911(x91091,a902)),x91094),x91095)))) % 192.26/192.34 [9374]~P24(x93742,x93741,x93743,f295(f295(f117(f911(x93742,a897)),x93744),x93745))+E(f295(f295(f108(f911(x93741,a897)),f295(f276(x93742,x93741,x93743),f295(f295(f23(f911(x93742,a897)),x93744),x93745))),f295(f276(x93742,x93741,x93743),f295(f295(f23(f911(x93742,a897)),x93745),x93744))),f176(f911(x93741,a897))) % 192.26/192.34 [9476]~P24(x94763,x94761,x94765,f214(f911(x94763,a897)))+E(f295(f295(f74(x94761,x94762,x94763),f295(f295(f74(x94763,x94762,x94761),x94764),f94(x94763,x94761,f214(f911(x94763,a897)),x94765))),x94765),x94764) % 192.26/192.34 [9646]~P1(f295(f295(f207(f911(x96463,a897)),f295(f252(x96461,x96463,x96464),x96462)),x96465))+P1(f295(f295(f207(f911(x96461,a897)),x96462),f295(f82(f911(x96461,a897)),f295(f252(x96463,x96461,f295(f253(x96461,x96463),x96464)),f295(f82(f911(x96463,a897)),x96465))))) % 192.26/192.34 [9668]~P24(x96681,x96682,x96683,f295(f295(f275(x96681),x96684),x96685))+~P1(f295(f295(f297(x96682),f295(x96683,x96684)),f295(f276(x96681,x96682,x96683),f295(f295(f23(f911(x96681,a897)),x96685),f295(f295(f275(x96681),x96684),f176(f911(x96681,a897))))))) % 192.26/192.34 [9722]P1(f295(f295(f207(f911(x97221,a897)),f295(f252(x97222,x97221,x97223),x97224)),x97225))+~P1(f295(f295(f207(f911(x97222,a897)),x97224),f295(f82(f911(x97222,a897)),f295(f252(x97221,x97222,f295(f253(x97222,x97221),x97223)),f295(f82(f911(x97221,a897)),x97225))))) % 192.26/192.34 [9792]~P93(x97921)+P1(f295(f295(f207(x97921),f295(f77(x97921),f295(f295(f23(x97921),f295(f295(f83(x97921),x97922),x97923)),f295(f295(f83(x97921),x97924),x97925)))),f295(f295(f83(x97921),f295(f77(x97921),f295(f295(f23(x97921),x97922),x97924))),f295(f77(x97921),f295(f295(f23(x97921),x97923),x97925))))) % 192.26/192.34 [9906]P1(f295(f295(f297(x99061),f876(x99062,x99063,x99064,x99061,x99065)),x99064))+P1(f295(f295(f207(f911(x99065,a897)),f295(f295(f44(x99061,f911(x99065,a897)),x99064),x99063)),x99062)) % 192.26/192.34 [9907]P1(f295(f295(f297(x99071),f887(x99072,x99073,x99074,x99075,x99071)),x99075))+P1(f295(f295(f207(f911(x99074,a897)),f295(f295(f44(x99071,f911(x99074,a897)),x99075),x99073)),x99072)) % 192.26/192.34 [10090]~P1(f295(f295(f207(f911(x100901,a897)),f295(x100904,f876(x100905,x100904,x100903,x100902,x100901))),x100905))+P1(f295(f295(f207(f911(x100901,a897)),f295(f295(f44(x100902,f911(x100901,a897)),x100903),x100904)),x100905)) % 192.26/192.34 [10091]~P1(f295(f295(f207(f911(x100911,a897)),f295(x100914,f887(x100915,x100914,x100911,x100913,x100912))),x100915))+P1(f295(f295(f207(f911(x100911,a897)),f295(f295(f44(x100912,f911(x100911,a897)),x100913),x100914)),x100915)) % 192.26/192.34 [8700]E(f295(f295(f122(x87001),x87002),f295(f295(f148(x87001,x87003),f295(f295(f23(a902),x87004),f295(f177(f903(x87001)),x87002))),x87005)),f295(f295(f148(x87001,f295(f295(f122(x87001),x87002),x87003)),x87004),x87005))+P1(f295(f295(f208(a902),x87004),f295(f177(f903(x87001)),x87002))) % 192.26/192.34 [8729]~P148(x87291)+E(f295(f295(f83(x87291),f295(f295(f84(x87291),x87292),x87293)),f295(f295(f83(x87291),f295(f295(f84(x87291),x87294),x87293)),x87295)),f295(f295(f83(x87291),f295(f295(f84(x87291),f295(f295(f83(x87291),x87292),x87294)),x87293)),x87295)) % 192.26/192.34 [9330]~P147(x93301)+E(f295(f154(x93301),f295(f295(f143(x93302,x93301),f295(f295(f8(x93301,x93301,x93302),f295(f84(x93301),x93303)),x93304)),x93305)),f295(f295(f84(x93301),x93303),f295(f154(x93301),f295(f295(f143(x93302,x93301),x93304),x93305)))) % 192.26/192.34 [9500]E(f295(f177(f903(x95001)),f295(f295(f161(x95001),f295(f295(f205(a902),f295(f177(f903(x95001)),x95002)),f295(f177(f903(x95003)),x95004))),x95002)),f295(f177(f903(x95003)),f295(f295(f161(x95003),f295(f295(f205(a902),f295(f177(f903(x95001)),x95002)),f295(f177(f903(x95003)),x95004))),x95004)))+P1(f295(x95005,f295(f295(f168(x95001,x95003),x95002),x95004))) % 192.26/192.34 [9731]~P147(x97312)+E(f295(f295(f6(x97311,x97312),f295(f295(f7(x97311,x97312,x97312),f295(f295(f8(x97312,f911(x97312,x97312),x97311),f84(x97312)),x97313)),x97314)),x97315),f295(f295(f84(x97312),f295(f295(f6(x97311,x97312),x97313),x97315)),x97314)) % 192.26/192.34 [9732]~P73(x97322)+E(f295(f295(f6(x97321,x97322),f295(f295(f7(x97321,x97322,x97322),f295(f295(f8(x97322,f911(x97322,x97322),x97321),f256(x97322)),x97323)),x97324)),x97325),f295(f295(f256(x97322),f295(f295(f6(x97321,x97322),x97323),x97325)),x97324)) % 192.26/192.34 [9739]~P67(x97392)+E(f295(f295(f6(x97391,x97392),f295(f295(f18(x97391,x97392,x97392),f295(f295(f8(x97392,f911(x97392,x97392),x97391),f23(x97392)),x97393)),x97394)),x97395),f295(f295(f23(x97392),f295(f295(f6(x97391,x97392),x97393),x97395)),f295(f295(f6(x97391,x97392),x97394),x97395))) % 192.26/192.34 [9740]~P77(x97402)+E(f295(f295(f6(x97401,x97402),f295(f295(f18(x97401,x97402,x97402),f295(f295(f8(x97402,f911(x97402,x97402),x97401),f83(x97402)),x97403)),x97404)),x97405),f295(f295(f83(x97402),f295(f295(f6(x97401,x97402),x97403),x97405)),f295(f295(f6(x97401,x97402),x97404),x97405))) % 192.26/192.34 [9741]~P83(x97412)+E(f295(f295(f9(x97411,x97412),f295(f295(f18(x97411,x97412,x97412),f295(f295(f8(x97412,f911(x97412,x97412),x97411),f84(x97412)),x97413)),x97414)),x97415),f295(f295(f84(x97412),f295(f295(f9(x97411,x97412),x97413),x97415)),f295(f295(f9(x97411,x97412),x97414),x97415))) % 192.26/192.34 [9778]~E(x97783,f176(f911(x97781,a897)))+E(f295(f295(f43(x97781,f911(x97782,a897)),x97783),f295(f295(f7(x97781,f911(x97782,a897),f911(x97782,a897)),f295(f295(f8(f911(x97782,a897),f911(f911(x97782,a897),f911(x97782,a897)),x97781),f108(f911(x97782,a897))),x97784)),x97785)),f214(f911(x97782,a897))) % 192.26/192.34 [9779]~E(x97793,f176(f911(x97791,a897)))+E(f295(f295(f43(x97791,f911(x97792,a897)),x97793),f295(f295(f7(x97791,f911(x97792,a897),f911(x97792,a897)),f295(f295(f8(f911(x97792,a897),f911(f911(x97792,a897),f911(x97792,a897)),x97791),f23(f911(x97792,a897))),x97794)),x97795)),f214(f911(x97792,a897))) % 192.26/192.34 [9780]~E(x97803,f176(f911(x97801,a897)))+E(f295(f295(f44(x97801,f911(x97802,a897)),x97803),f295(f295(f7(x97801,f911(x97802,a897),f911(x97802,a897)),f295(f295(f8(f911(x97802,a897),f911(f911(x97802,a897),f911(x97802,a897)),x97801),f117(f911(x97802,a897))),x97804)),x97805)),f176(f911(x97802,a897))) % 192.26/192.34 [9800]E(x98001,f176(f911(x98002,a897)))+E(f295(f295(f43(x98002,f911(x98003,a897)),x98001),f295(f295(f7(x98002,f911(x98003,a897),f911(x98003,a897)),f295(f295(f8(f911(x98003,a897),f911(f911(x98003,a897),f911(x98003,a897)),x98002),f108(f911(x98003,a897))),x98004)),x98005)),f295(f295(f108(f911(x98003,a897)),f295(f295(f43(x98002,f911(x98003,a897)),x98001),x98004)),x98005)) % 192.26/192.34 [9801]E(x98011,f176(f911(x98012,a897)))+E(f295(f295(f43(x98012,f911(x98013,a897)),x98011),f295(f295(f7(x98012,f911(x98013,a897),f911(x98013,a897)),f295(f295(f8(f911(x98013,a897),f911(f911(x98013,a897),f911(x98013,a897)),x98012),f23(f911(x98013,a897))),x98014)),x98015)),f295(f295(f23(f911(x98013,a897)),f295(f295(f43(x98012,f911(x98013,a897)),x98011),x98014)),x98015)) % 192.26/192.34 [9802]E(x98021,f176(f911(x98022,a897)))+E(f295(f295(f44(x98022,f911(x98023,a897)),x98021),f295(f295(f7(x98022,f911(x98023,a897),f911(x98023,a897)),f295(f295(f8(f911(x98023,a897),f911(f911(x98023,a897),f911(x98023,a897)),x98022),f117(f911(x98023,a897))),x98024)),x98025)),f295(f295(f117(f911(x98023,a897)),f295(f295(f44(x98022,f911(x98023,a897)),x98021),x98024)),x98025)) % 192.26/192.34 [9379]~P1(f295(f295(f207(a902),x93791),x93794))+E(f295(f295(f23(a902),f295(f295(f83(a902),f295(f295(f84(a902),x93791),x93792)),x93793)),f295(f295(f83(a902),f295(f295(f84(a902),x93794),x93792)),x93795)),f295(f295(f23(a902),x93793),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x93794),x93791)),x93792)),x93795))) % 192.26/192.34 [9953]~P147(x99531)+E(f295(f154(x99531),f295(f295(f143(x99532,x99531),f295(f295(f7(x99532,x99531,x99531),f295(f295(f8(x99531,f911(x99531,x99531),x99532),f84(x99531)),x99533)),x99534)),x99535)),f295(f295(f84(x99531),f295(f154(x99531),f295(f295(f143(x99532,x99531),x99533),x99535))),x99534)) % 192.26/192.34 [9959]~P67(x99591)+E(f295(f154(x99591),f295(f295(f143(x99592,x99591),f295(f295(f18(x99592,x99591,x99591),f295(f295(f8(x99591,f911(x99591,x99591),x99592),f23(x99591)),x99593)),x99594)),x99595)),f295(f295(f23(x99591),f295(f154(x99591),f295(f295(f143(x99592,x99591),x99593),x99595))),f295(f154(x99591),f295(f295(f143(x99592,x99591),x99594),x99595)))) % 192.26/192.34 [9960]~P77(x99601)+E(f295(f154(x99601),f295(f295(f143(x99602,x99601),f295(f295(f18(x99602,x99601,x99601),f295(f295(f8(x99601,f911(x99601,x99601),x99602),f83(x99601)),x99603)),x99604)),x99605)),f295(f295(f83(x99601),f295(f154(x99601),f295(f295(f143(x99602,x99601),x99603),x99605))),f295(f154(x99601),f295(f295(f143(x99602,x99601),x99604),x99605)))) % 192.26/192.34 [10106]P1(f295(x101061,f295(f295(f168(x101062,x101063),x101064),x101065)))+~P1(f295(x101061,f295(f295(f168(x101062,x101063),f295(f295(f161(x101062),f295(f295(f205(a902),f295(f177(f903(x101062)),x101064)),f295(f177(f903(x101063)),x101065))),x101064)),f295(f295(f161(x101063),f295(f295(f205(a902),f295(f177(f903(x101062)),x101064)),f295(f177(f903(x101063)),x101065))),x101065)))) % 192.26/192.34 [9616]~P1(f295(f295(f207(a902),x96164),x96161))+E(f295(f295(f23(a902),f295(f295(f83(a902),f295(f295(f84(a902),x96161),x96162)),x96163)),f295(f295(f83(a902),f295(f295(f84(a902),x96164),x96162)),x96165)),f295(f295(f23(a902),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x96161),x96164)),x96162)),x96163)),x96165)) % 192.26/192.34 [5424]E(x54241,x54242)+~E(f30(x54243,x54244,x54241),f30(x54245,x54246,x54242)) % 192.26/192.34 [5425]E(x54251,x54252)+~E(f30(x54253,x54251,x54254),f30(x54255,x54252,x54256)) % 192.26/192.34 [5426]E(x54261,x54262)+~E(f30(x54261,x54263,x54264),f30(x54262,x54265,x54266)) % 192.26/192.34 [5427]E(x54271,x54272)+~E(f28(x54273,x54274,x54271),f28(x54275,x54276,x54272)) % 192.26/192.34 [5428]E(x54281,x54282)+~E(f28(x54283,x54281,x54284),f28(x54285,x54282,x54286)) % 192.26/192.34 [5429]E(x54291,x54292)+~E(f28(x54291,x54293,x54294),f28(x54292,x54295,x54296)) % 192.26/192.34 [5430]E(x54301,x54302)+~E(f29(x54303,x54304,x54301),f29(x54305,x54306,x54302)) % 192.26/192.34 [5431]E(x54311,x54312)+~E(f29(x54313,x54311,x54314),f29(x54315,x54312,x54316)) % 192.26/192.34 [5432]E(x54321,x54322)+~E(f29(x54321,x54323,x54324),f29(x54322,x54325,x54326)) % 192.26/192.34 [7944]~P18(x79445,x79441,x79442,x79446)+E(f295(f295(f74(x79441,x79441,x79441),f295(x79442,x79443)),f295(x79442,x79444)),f295(f295(f74(x79441,x79441,x79441),f295(x79442,x79444)),f295(x79442,x79443))) % 192.26/192.34 [8782]~P56(x87824,x87825,x87826,x87821,x87822)+E(f295(x87821,f295(x87822,x87823)),x87823) % 192.26/192.34 [8783]~P62(x87834,x87835,x87832,x87831,x87836)+E(f295(x87831,f295(x87832,x87833)),x87833) % 192.26/192.34 [8784]~P43(x87844,x87845,x87846,x87841,x87842)+E(f295(x87841,f295(x87842,x87843)),x87843) % 192.26/192.34 [8913]~P43(x89134,x89135,x89131,x89136,x89132)+P1(f295(f295(x89131,f295(x89132,x89133)),f295(x89132,x89133))) % 192.26/192.34 [9028]~E(x90286,x90284)+E(f295(f76(x90281,x90282,x90283,x90284,x90285),x90286),x90285) % 192.26/192.34 [9034]E(x90341,x90342)+E(f295(f76(x90343,x90344,x90345,x90342,x90346),x90341),f295(x90345,x90341)) % 192.26/192.34 [9680]P54(x96801,x96802,x96803,x96804,x96805,x96806)+~P1(f295(f295(x96803,f295(x96804,x96805)),f295(x96804,x96806))) % 192.26/192.34 [9742]P1(f295(f62(x97421),x97422))+~P1(f295(f67(x97421,x97423,x97424,x97425,x97422),x97426)) % 192.26/192.34 [9750]~P1(f295(f295(f297(x97504),x97503),f263(x97504,x97501,x97505,x97502,x97506)))+P1(f295(f295(x97501,x97502),x97503)) % 192.26/192.34 [9751]~P1(f295(f295(f297(x97514),x97513),f266(x97514,x97515,x97511,x97512,x97516)))+P1(f295(f295(x97511,x97512),x97513)) % 192.26/192.34 [9752]~P1(f295(f295(f297(x97524),x97522),f263(x97524,x97525,x97521,x97526,x97523)))+P1(f295(f295(x97521,x97522),x97523)) % 192.26/192.34 [9753]~P1(f295(f295(f297(x97534),x97532),f266(x97534,x97531,x97535,x97536,x97533)))+P1(f295(f295(x97531,x97532),x97533)) % 192.26/192.34 [9816]~P54(x98165,x98166,x98161,x98162,x98163,x98164)+P1(f295(f295(x98161,f295(x98162,x98163)),f295(x98162,x98164))) % 192.26/192.34 [5932]E(x59321,x59322)+~E(f295(f295(f217(x59323,x59324),x59325),x59321),f295(f295(f217(x59323,x59324),x59326),x59322)) % 192.26/192.34 [5934]E(x59341,x59342)+~E(f295(f295(f217(x59343,x59344),x59341),x59345),f295(f295(f217(x59343,x59344),x59342),x59346)) % 192.26/192.34 [6062]~P15(x60625,x60626,x60621)+E(f295(f295(x60621,x60622),f295(f295(x60621,x60623),x60624)),f295(f295(x60621,x60623),f295(f295(x60621,x60622),x60624))) % 192.26/192.34 [7473]~P31(x74734,x74731,f295(f295(f140(x74734),x74732),x74735),f295(f295(f140(x74734),x74733),x74736))+P1(f295(f295(x74731,x74732),x74733)) % 192.26/192.34 [7827]P31(x78271,x78272,x78273,x78274)+~P31(x78271,x78272,f295(f295(f140(x78271),x78275),x78273),f295(f295(f140(x78271),x78276),x78274)) % 192.26/192.34 [8434]P24(x84341,x84342,x84343,x84344)+~P24(x84341,x84345,f295(f295(f74(x84342,x84345,x84341),x84346),x84343),x84344) % 192.26/192.34 [8616]P24(x86161,x86162,x86163,f295(f276(x86164,x86161,x86165),x86166))+~P24(x86164,x86162,f295(f295(f74(x86161,x86162,x86164),x86163),x86165),x86166) % 192.26/192.34 [8884]~P62(x88845,x88841,x88842,x88846,x88844)+P1(f295(f295(f297(x88841),f295(x88842,x88843)),x88844)) % 192.26/192.34 [9077]E(f295(f78(x90771,x90772,x90773,x90774,x90775),x90776),f295(x90773,x90776))+P1(f295(f295(f297(x90771),x90776),x90775)) % 192.26/192.34 [9100]~E(x91003,f295(f295(f140(x91001),x91005),x91006))+P1(f295(f295(f297(f910(f903(x91001),f903(x91001))),f295(f295(f217(f903(x91001),f903(x91001)),x91002),f295(f295(f122(x91001),x91002),x91003))),f136(x91001,x91004))) % 192.26/192.34 [9106]E(f295(f78(x91061,x91062,x91063,x91064,x91065),x91066),f295(x91064,x91066))+~P1(f295(f295(f297(x91061),x91066),x91065)) % 192.26/192.34 [9336]~P34(x93361,x93362,x93363,x93365,x93366)+P34(x93361,x93362,x93363,f295(f295(f161(x93361),x93364),x93365),f295(f295(f161(x93362),x93364),x93366)) % 192.26/192.34 [9337]~P34(x93371,x93372,x93373,x93375,x93376)+P34(x93371,x93372,x93373,f295(f295(f127(x93371),x93374),x93375),f295(f295(f127(x93372),x93374),x93376)) % 192.26/192.34 [9585]E(f295(f276(x95851,x95852,f76(x95851,x95852,x95853,x95854,x95855)),x95856),f295(f276(x95851,x95852,x95853),x95856))+P1(f295(f295(f297(x95851),x95854),x95856)) % 192.26/192.34 [9588]E(f295(f295(f143(x95881,x95882),f76(x95881,x95882,x95883,x95884,x95885)),x95886),f295(f295(f143(x95881,x95882),x95883),x95886))+P1(f295(f295(f297(x95881),x95884),f295(f160(x95881),x95886))) % 192.26/192.34 [9812]~P22(x98124,x98122,x98125,x98123,x98126,x98121)+E(f295(x98121,f176(f911(x98122,a897))),x98123) % 192.26/192.34 [10053]~E(f295(x100534,f295(f216(x100531,x100533),x100535)),f295(x100536,f295(f216(x100531,x100533),x100535)))+E(f295(f229(x100531,x100532,x100533,x100533,x100534,f36(x100533)),x100535),f295(f229(x100531,x100532,x100533,x100533,x100536,f36(x100533)),x100535)) % 192.26/192.34 [10054]~E(f295(x100544,f295(f227(x100541,x100542),x100545)),f295(x100546,f295(f227(x100541,x100542),x100545)))+E(f295(f229(x100541,x100541,x100542,x100543,f36(x100541),x100544),x100545),f295(f229(x100541,x100541,x100542,x100543,f36(x100541),x100546),x100545)) % 192.26/192.34 [10100]~E(f295(f229(x101002,x101006,x101003,x101003,x101001,f36(x101003)),x101004),f295(f229(x101002,x101006,x101003,x101003,x101005,f36(x101003)),x101004))+E(f295(x101001,f295(f216(x101002,x101003),x101004)),f295(x101005,f295(f216(x101002,x101003),x101004))) % 192.26/192.34 [10101]~E(f295(f229(x101012,x101012,x101013,x101016,f36(x101012),x101011),x101014),f295(f229(x101012,x101012,x101013,x101016,f36(x101012),x101015),x101014))+E(f295(x101011,f295(f227(x101012,x101013),x101014)),f295(x101015,f295(f227(x101012,x101013),x101014))) % 192.26/192.34 [8993]P1(f295(f295(f297(x89931),x89932),x89933))+~P1(f295(f295(f297(f910(x89931,x89934)),f295(f295(f217(x89931,x89934),x89932),x89935)),f295(f295(f226(x89931,x89934),x89933),x89936))) % 192.26/192.34 [9010]P1(f295(f295(f297(x90101),x90102),f295(x90103,x90104)))+~P1(f295(f295(f297(f910(x90105,x90101)),f295(f295(f217(x90105,x90101),x90104),x90102)),f295(f295(f226(x90105,x90101),x90106),x90103))) % 192.26/192.34 [9451]P1(f295(f295(f297(f910(x94511,x94511)),f295(f295(f217(x94511,x94511),f295(x94512,x94513)),f295(x94512,x94514))),x94515))+~P1(f295(f295(f297(f910(x94516,x94516)),f295(f295(f217(x94516,x94516),x94513),x94514)),f295(f295(f254(x94511,x94516),x94515),x94512))) % 192.26/192.34 [9468]~P1(f295(f295(f297(f910(x94684,x94684)),f295(f295(f217(x94684,x94684),f295(x94686,x94682)),f295(x94686,x94683))),x94685))+P1(f295(f295(f297(f910(x94681,x94681)),f295(f295(f217(x94681,x94681),x94682),x94683)),f295(f295(f254(x94684,x94681),x94685),x94686))) % 192.26/192.34 [10105]E(f295(f295(f217(x101051,x101052),f830(x101053,x101054,x101055,x101056,x101052,x101051)),f835(x101053,x101054,x101055,x101056,x101052,x101051)),x101056)+~P1(f295(f295(f297(f910(x101051,x101052)),x101056),f295(f295(f255(x101051,x101055,x101052),x101054),x101053))) % 192.26/192.34 [10377]~P1(f295(f295(f297(f910(x103771,x103776)),x103775),f295(f295(f255(x103771,x103772,x103776),x103774),x103773)))+P1(f295(f295(f297(f910(x103771,x103772)),f295(f295(f217(x103771,x103772),f830(x103773,x103774,x103772,x103775,x103776,x103771)),f831(x103773,x103774,x103772,x103775,x103776,x103771))),x103774)) % 192.26/192.34 [10378]~P1(f295(f295(f297(f910(x103786,x103782)),x103785),f295(f295(f255(x103786,x103781,x103782),x103784),x103783)))+P1(f295(f295(f297(f910(x103781,x103782)),f295(f295(f217(x103781,x103782),f831(x103783,x103784,x103781,x103785,x103782,x103786)),f835(x103783,x103784,x103781,x103785,x103782,x103786))),x103783)) % 192.26/192.34 [7781]~P42(x77812,x77816,x77811,x77814)+E(f295(f295(x77811,f295(f16(x77812,x77812),f295(x77813,f295(x77814,x77815)))),x77815),f295(f295(x77811,x77813),x77815)) % 192.26/192.34 [7899]~P6(x78992)+E(f295(f295(f43(x78991,x78992),x78993),f295(f295(f7(x78991,x78994,x78992),x78995),x78996)),f295(f295(f295(f43(x78991,f911(x78994,x78992)),x78993),x78995),x78996)) % 192.26/192.34 [7900]~P6(x79002)+E(f295(f295(f44(x79001,x79002),x79003),f295(f295(f7(x79001,x79004,x79002),x79005),x79006)),f295(f295(f295(f44(x79001,f911(x79004,x79002)),x79003),x79005),x79006)) % 192.26/192.34 [8683]E(f295(f295(f44(x86831,f911(x86832,a897)),x86833),f295(f295(f8(f911(x86832,a897),f911(x86832,a897),x86831),f295(f275(x86832),x86834)),x86835)),f295(f295(f275(x86832),x86834),f295(f295(f44(x86831,f911(x86832,a897)),x86833),x86835)))+~P1(f295(f295(f297(x86831),x86836),x86833)) % 192.26/192.34 [9159]~P6(x91592)+E(f295(f295(f43(x91591,x91592),x91593),f295(f295(f8(f911(x91594,x91592),x91592,x91591),f295(f43(x91594,x91592),x91595)),f295(f7(x91594,x91591,x91592),x91596))),f295(f295(f43(x91594,x91592),x91595),f295(f295(f8(f911(x91591,x91592),x91592,x91594),f295(f43(x91591,x91592),x91593)),x91596))) % 192.26/192.34 [9160]~P6(x91602)+E(f295(f295(f44(x91601,x91602),x91603),f295(f295(f8(f911(x91604,x91602),x91602,x91601),f295(f44(x91604,x91602),x91605)),f295(f7(x91604,x91601,x91602),x91606))),f295(f295(f44(x91604,x91602),x91605),f295(f295(f8(f911(x91601,x91602),x91602,x91604),f295(f44(x91601,x91602),x91603)),x91606))) % 192.26/192.34 [9361]P1(f295(f295(f297(x93611),x93612),f295(f160(x93611),x93613)))+~P1(f295(f295(f297(f910(x93614,x93611)),f295(f295(f217(x93614,x93611),x93615),x93612)),f295(f160(f910(x93614,x93611)),f295(f295(f168(x93614,x93611),x93616),x93613)))) % 192.26/192.34 [9362]P1(f295(f295(f297(x93621),x93622),f295(f160(x93621),x93623)))+~P1(f295(f295(f297(f910(x93621,x93624)),f295(f295(f217(x93621,x93624),x93622),x93625)),f295(f160(f910(x93621,x93624)),f295(f295(f168(x93621,x93624),x93623),x93626)))) % 192.26/192.34 [9462]P1(f295(f295(f207(f911(x94621,a897)),f295(f252(x94622,x94621,x94623),x94624)),x94625))+~P1(f295(f295(f207(f911(f910(x94622,x94621),a897)),x94623),f295(f295(f226(x94622,x94621),x94626),f295(f16(f911(x94621,a897),x94622),x94625)))) % 192.26/192.34 [9649]P1(f295(f295(f297(f910(f903(x96491),f903(x96491))),f295(f295(f217(f903(x96491),f903(x96491)),f295(f295(f140(x96491),x96492),x96493)),f295(f295(f140(x96491),x96494),x96495))),f136(x96491,x96496)))+~P1(f295(f295(f297(f910(x96491,x96491)),f295(f295(f217(x96491,x96491),x96492),x96494)),x96496)) % 192.26/192.34 [10099]E(f295(f295(f217(x100991,x100992),f758(x100993,x100994,x100995,x100992,x100991,x100996)),f759(x100993,x100994,x100995,x100992,x100991,x100996)),x100996)+P1(f295(f295(f297(x100995),x100994),f295(f295(f228(x100991,x100992,f911(x100995,a897)),x100993),x100996))) % 192.26/192.34 [10107]E(f295(f295(f217(x101071,x101072),f760(x101073,x101074,x101072,x101071,x101075,x101076)),f761(x101073,x101074,x101072,x101071,x101075,x101076)),x101073)+~P1(f295(f295(f297(x101076),x101075),f295(f295(f228(x101071,x101072,f911(x101076,a897)),x101074),x101073))) % 192.26/192.34 [10315]P1(f295(f295(f297(x103151),x103152),f295(f295(x103153,f760(x103154,x103153,x103155,x103156,x103152,x103151)),f761(x103154,x103153,x103155,x103156,x103152,x103151))))+~P1(f295(f295(f297(x103151),x103152),f295(f295(f228(x103156,x103155,f911(x103151,a897)),x103153),x103154))) % 192.26/192.34 [10341]~P1(f295(f295(f297(x103411),x103412),f295(f295(x103415,f758(x103415,x103412,x103411,x103414,x103413,x103416)),f759(x103415,x103412,x103411,x103414,x103413,x103416))))+P1(f295(f295(f297(x103411),x103412),f295(f295(f228(x103413,x103414,f911(x103411,a897)),x103415),x103416))) % 192.26/192.34 [8579]E(x85791,x85792)+E(f295(f295(f148(x85793,f295(f295(f148(x85793,x85794),x85791),x85795)),x85792),x85796),f295(f295(f148(x85793,f295(f295(f148(x85793,x85794),x85792),x85796)),x85791),x85795)) % 192.26/192.34 [9707]~P1(f295(f295(f297(x97073),x97076),x97075))+E(f295(f295(f275(x97071),x97072),f295(f276(x97073,x97071,x97074),f295(f295(f23(f911(x97073,a897)),x97075),f295(f295(f275(x97073),x97076),f176(f911(x97073,a897)))))),f295(f276(x97073,x97071,f76(x97073,x97071,x97074,x97076,x97072)),x97075)) % 192.26/192.34 [9238]~P1(f295(f295(x92384,x92385),x92386))+P1(f295(f295(f295(f295(f117(f911(x92381,f911(x92382,a897))),x92383),x92384),x92385),x92386)) % 192.26/192.34 [9240]~P1(f295(f295(x92403,x92405),x92406))+P1(f295(f295(f295(f295(f117(f911(x92401,f911(x92402,a897))),x92403),x92404),x92405),x92406)) % 192.26/192.34 [9520]P1(f295(f295(x95201,x95202),x95203))+~P1(f295(f295(f295(f295(f108(f911(x95204,f911(x95205,a897))),x95206),x95201),x95202),x95203)) % 192.26/192.34 [9521]P1(f295(f295(x95211,x95212),x95213))+~P1(f295(f295(f295(f295(f108(f911(x95214,f911(x95215,a897))),x95211),x95216),x95212),x95213)) % 192.26/192.34 [9942]~P77(x99422)+E(f295(f295(f6(x99421,x99422),f295(f295(f7(x99421,f911(x99423,a897),x99422),f295(f295(f8(f911(x99423,x99422),f911(f911(x99423,a897),x99422),x99421),f6(x99423,x99422)),x99424)),x99425)),x99426),f295(f295(f6(f910(x99421,x99423),x99422),f295(f228(x99421,x99423,x99422),x99424)),f295(f295(f226(x99421,x99423),x99426),f295(f16(f911(x99423,a897),x99421),x99425)))) % 192.26/192.34 [9943]~P83(x99432)+E(f295(f295(f9(x99431,x99432),f295(f295(f7(x99431,f911(x99433,a897),x99432),f295(f295(f8(f911(x99433,x99432),f911(f911(x99433,a897),x99432),x99431),f9(x99433,x99432)),x99434)),x99435)),x99436),f295(f295(f9(f910(x99431,x99433),x99432),f295(f228(x99431,x99433,x99432),x99434)),f295(f295(f226(x99431,x99433),x99436),f295(f16(f911(x99433,a897),x99431),x99435)))) % 192.26/192.34 [10079]~P77(x100792)+E(f295(f295(f6(x100791,x100792),f295(f295(f7(x100791,f911(x100793,a897),x100792),f295(f295(f8(f911(x100793,x100792),f911(f911(x100793,a897),x100792),x100791),f6(x100793,x100792)),f295(f7(x100793,x100791,x100792),x100794))),x100795)),x100796),f295(f295(f6(x100793,x100792),f295(f295(f7(x100793,f911(x100791,a897),x100792),f295(f295(f8(f911(x100791,x100792),f911(f911(x100791,a897),x100792),x100793),f6(x100791,x100792)),x100794)),x100796)),x100795)) % 192.26/192.34 [10435]~P1(f295(f295(f297(f910(x104351,x104352)),f295(f295(f217(x104351,x104352),x104355),x104356)),f295(f295(f117(f911(f910(x104351,x104352),a897)),x104353),x104354)))+P1(f295(f295(f295(f295(f117(f911(x104351,f911(x104352,a897))),f295(f295(f7(x104351,f911(f910(x104351,x104352),a897),f911(x104352,a897)),f295(f295(f8(f911(x104352,f911(f911(f910(x104351,x104352),a897),a897)),f911(f911(f910(x104351,x104352),a897),f911(x104352,a897)),x104351),f7(x104352,f911(f910(x104351,x104352),a897),a897)),f295(f295(f8(f911(x104352,f910(x104351,x104352)),f911(x104352,f911(f911(f910(x104351,x104352),a897),a897)),x104351),f295(f8(f910(x104351,x104352),f911(f911(f910(x104351,x104352),a897),a897),x104352),f297(f910(x104351,x104352)))),f217(x104351,x104352)))),x104353)),f295(f295(f7(x104351,f911(f910(x104351,x104352),a897),f911(x104352,a897)),f295(f295(f8(f911(x104352,f911(f911(f910(x104351,x104352),a897),a897)),f911(f911(f910(x104351,x104352),a897),f911(x104352,a897)),x104351),f7(x104352,f911(f910(x104351,x104352),a897),a897)),f295(f295(f8(f911(x104352,f910(x104351,x104352)),f911(x104352,f911(f911(f910(x104351,x104352),a897),a897)),x104351),f295(f8(f910(x104351,x104352),f911(f911(f910(x104351,x104352),a897),a897),x104352),f297(f910(x104351,x104352)))),f217(x104351,x104352)))),x104354)),x104355),x104356)) % 192.26/192.34 [10436]~P1(f295(f295(f297(f910(x104361,x104362)),f295(f295(f217(x104361,x104362),x104365),x104366)),f295(f295(f108(f911(f910(x104361,x104362),a897)),x104363),x104364)))+P1(f295(f295(f295(f295(f108(f911(x104361,f911(x104362,a897))),f295(f295(f7(x104361,f911(f910(x104361,x104362),a897),f911(x104362,a897)),f295(f295(f8(f911(x104362,f911(f911(f910(x104361,x104362),a897),a897)),f911(f911(f910(x104361,x104362),a897),f911(x104362,a897)),x104361),f7(x104362,f911(f910(x104361,x104362),a897),a897)),f295(f295(f8(f911(x104362,f910(x104361,x104362)),f911(x104362,f911(f911(f910(x104361,x104362),a897),a897)),x104361),f295(f8(f910(x104361,x104362),f911(f911(f910(x104361,x104362),a897),a897),x104362),f297(f910(x104361,x104362)))),f217(x104361,x104362)))),x104363)),f295(f295(f7(x104361,f911(f910(x104361,x104362),a897),f911(x104362,a897)),f295(f295(f8(f911(x104362,f911(f911(f910(x104361,x104362),a897),a897)),f911(f911(f910(x104361,x104362),a897),f911(x104362,a897)),x104361),f7(x104362,f911(f910(x104361,x104362),a897),a897)),f295(f295(f8(f911(x104362,f910(x104361,x104362)),f911(x104362,f911(f911(f910(x104361,x104362),a897),a897)),x104361),f295(f8(f910(x104361,x104362),f911(f911(f910(x104361,x104362),a897),a897),x104362),f297(f910(x104361,x104362)))),f217(x104361,x104362)))),x104364)),x104365),x104366)) % 192.26/192.34 [10442]P1(f295(f295(f297(f910(x104421,x104422)),f295(f295(f217(x104421,x104422),x104423),x104424)),f295(f295(f117(f911(f910(x104421,x104422),a897)),x104425),x104426)))+~P1(f295(f295(f295(f295(f117(f911(x104421,f911(x104422,a897))),f295(f295(f7(x104421,f911(f910(x104421,x104422),a897),f911(x104422,a897)),f295(f295(f8(f911(x104422,f911(f911(f910(x104421,x104422),a897),a897)),f911(f911(f910(x104421,x104422),a897),f911(x104422,a897)),x104421),f7(x104422,f911(f910(x104421,x104422),a897),a897)),f295(f295(f8(f911(x104422,f910(x104421,x104422)),f911(x104422,f911(f911(f910(x104421,x104422),a897),a897)),x104421),f295(f8(f910(x104421,x104422),f911(f911(f910(x104421,x104422),a897),a897),x104422),f297(f910(x104421,x104422)))),f217(x104421,x104422)))),x104425)),f295(f295(f7(x104421,f911(f910(x104421,x104422),a897),f911(x104422,a897)),f295(f295(f8(f911(x104422,f911(f911(f910(x104421,x104422),a897),a897)),f911(f911(f910(x104421,x104422),a897),f911(x104422,a897)),x104421),f7(x104422,f911(f910(x104421,x104422),a897),a897)),f295(f295(f8(f911(x104422,f910(x104421,x104422)),f911(x104422,f911(f911(f910(x104421,x104422),a897),a897)),x104421),f295(f8(f910(x104421,x104422),f911(f911(f910(x104421,x104422),a897),a897),x104422),f297(f910(x104421,x104422)))),f217(x104421,x104422)))),x104426)),x104423),x104424)) % 192.26/192.34 [10443]P1(f295(f295(f297(f910(x104431,x104432)),f295(f295(f217(x104431,x104432),x104433),x104434)),f295(f295(f108(f911(f910(x104431,x104432),a897)),x104435),x104436)))+~P1(f295(f295(f295(f295(f108(f911(x104431,f911(x104432,a897))),f295(f295(f7(x104431,f911(f910(x104431,x104432),a897),f911(x104432,a897)),f295(f295(f8(f911(x104432,f911(f911(f910(x104431,x104432),a897),a897)),f911(f911(f910(x104431,x104432),a897),f911(x104432,a897)),x104431),f7(x104432,f911(f910(x104431,x104432),a897),a897)),f295(f295(f8(f911(x104432,f910(x104431,x104432)),f911(x104432,f911(f911(f910(x104431,x104432),a897),a897)),x104431),f295(f8(f910(x104431,x104432),f911(f911(f910(x104431,x104432),a897),a897),x104432),f297(f910(x104431,x104432)))),f217(x104431,x104432)))),x104435)),f295(f295(f7(x104431,f911(f910(x104431,x104432),a897),f911(x104432,a897)),f295(f295(f8(f911(x104432,f911(f911(f910(x104431,x104432),a897),a897)),f911(f911(f910(x104431,x104432),a897),f911(x104432,a897)),x104431),f7(x104432,f911(f910(x104431,x104432),a897),a897)),f295(f295(f8(f911(x104432,f910(x104431,x104432)),f911(x104432,f911(f911(f910(x104431,x104432),a897),a897)),x104431),f295(f8(f910(x104431,x104432),f911(f911(f910(x104431,x104432),a897),a897),x104432),f297(f910(x104431,x104432)))),f217(x104431,x104432)))),x104436)),x104433),x104434)) % 192.26/192.34 [10430]~P1(f295(f295(f297(f910(x104302,x104303)),f295(f295(f217(x104302,x104303),x104305),x104306)),f295(f295(f43(x104301,f911(f910(x104302,x104303),a897)),f214(f911(x104301,a897))),x104304)))+P1(f295(f295(f295(f295(f43(x104301,f911(x104302,f911(x104303,a897))),f214(f911(x104301,a897))),f295(f295(f8(f911(f910(x104302,x104303),a897),f911(x104302,f911(x104303,a897)),x104301),f295(f7(x104302,f911(f910(x104302,x104303),a897),f911(x104303,a897)),f295(f295(f8(f911(x104303,f911(f911(f910(x104302,x104303),a897),a897)),f911(f911(f910(x104302,x104303),a897),f911(x104303,a897)),x104302),f7(x104303,f911(f910(x104302,x104303),a897),a897)),f295(f295(f8(f911(x104303,f910(x104302,x104303)),f911(x104303,f911(f911(f910(x104302,x104303),a897),a897)),x104302),f295(f8(f910(x104302,x104303),f911(f911(f910(x104302,x104303),a897),a897),x104303),f297(f910(x104302,x104303)))),f217(x104302,x104303))))),x104304)),x104305),x104306)) % 192.26/192.34 [10431]~P1(f295(f295(f297(f910(x104312,x104313)),f295(f295(f217(x104312,x104313),x104315),x104316)),f295(f295(f44(x104311,f911(f910(x104312,x104313),a897)),f214(f911(x104311,a897))),x104314)))+P1(f295(f295(f295(f295(f44(x104311,f911(x104312,f911(x104313,a897))),f214(f911(x104311,a897))),f295(f295(f8(f911(f910(x104312,x104313),a897),f911(x104312,f911(x104313,a897)),x104311),f295(f7(x104312,f911(f910(x104312,x104313),a897),f911(x104313,a897)),f295(f295(f8(f911(x104313,f911(f911(f910(x104312,x104313),a897),a897)),f911(f911(f910(x104312,x104313),a897),f911(x104313,a897)),x104312),f7(x104313,f911(f910(x104312,x104313),a897),a897)),f295(f295(f8(f911(x104313,f910(x104312,x104313)),f911(x104313,f911(f911(f910(x104312,x104313),a897),a897)),x104312),f295(f8(f910(x104312,x104313),f911(f911(f910(x104312,x104313),a897),a897),x104313),f297(f910(x104312,x104313)))),f217(x104312,x104313))))),x104314)),x104315),x104316)) % 192.26/192.34 [10439]P1(f295(f295(f297(f910(x104391,x104392)),f295(f295(f217(x104391,x104392),x104393),x104394)),f295(f295(f43(x104395,f911(f910(x104391,x104392),a897)),f214(f911(x104395,a897))),x104396)))+~P1(f295(f295(f295(f295(f43(x104395,f911(x104391,f911(x104392,a897))),f214(f911(x104395,a897))),f295(f295(f8(f911(f910(x104391,x104392),a897),f911(x104391,f911(x104392,a897)),x104395),f295(f7(x104391,f911(f910(x104391,x104392),a897),f911(x104392,a897)),f295(f295(f8(f911(x104392,f911(f911(f910(x104391,x104392),a897),a897)),f911(f911(f910(x104391,x104392),a897),f911(x104392,a897)),x104391),f7(x104392,f911(f910(x104391,x104392),a897),a897)),f295(f295(f8(f911(x104392,f910(x104391,x104392)),f911(x104392,f911(f911(f910(x104391,x104392),a897),a897)),x104391),f295(f8(f910(x104391,x104392),f911(f911(f910(x104391,x104392),a897),a897),x104392),f297(f910(x104391,x104392)))),f217(x104391,x104392))))),x104396)),x104393),x104394)) % 192.26/192.34 [10440]P1(f295(f295(f297(f910(x104401,x104402)),f295(f295(f217(x104401,x104402),x104403),x104404)),f295(f295(f44(x104405,f911(f910(x104401,x104402),a897)),f214(f911(x104405,a897))),x104406)))+~P1(f295(f295(f295(f295(f44(x104405,f911(x104401,f911(x104402,a897))),f214(f911(x104405,a897))),f295(f295(f8(f911(f910(x104401,x104402),a897),f911(x104401,f911(x104402,a897)),x104405),f295(f7(x104401,f911(f910(x104401,x104402),a897),f911(x104402,a897)),f295(f295(f8(f911(x104402,f911(f911(f910(x104401,x104402),a897),a897)),f911(f911(f910(x104401,x104402),a897),f911(x104402,a897)),x104401),f7(x104402,f911(f910(x104401,x104402),a897),a897)),f295(f295(f8(f911(x104402,f910(x104401,x104402)),f911(x104402,f911(f911(f910(x104401,x104402),a897),a897)),x104401),f295(f8(f910(x104401,x104402),f911(f911(f910(x104401,x104402),a897),a897),x104402),f297(f910(x104401,x104402)))),f217(x104401,x104402))))),x104406)),x104403),x104404)) % 192.26/192.34 [7410]E(x74101,x74102)+~E(f98(x74103,x74104,x74105,x74101),f98(x74103,x74106,x74107,x74102)) % 192.26/192.34 [7411]E(x74111,x74112)+~E(f98(x74113,x74114,x74111,x74115),f98(x74113,x74116,x74112,x74117)) % 192.26/192.34 [7412]E(x74121,x74122)+~E(f98(x74123,x74121,x74124,x74125),f98(x74123,x74122,x74126,x74127)) % 192.26/192.34 [9723]E(x97231,x97232)+E(f76(x97233,x97234,f76(x97233,x97234,x97235,x97231,x97236),x97232,x97237),f76(x97233,x97234,f76(x97233,x97234,x97235,x97232,x97237),x97231,x97236)) % 192.26/192.34 [9811]~P21(x98113,x98114,x98111,x98115,x98116,x98117)+E(f295(f295(x98111,x98112),x98112),x98112) % 192.26/192.34 [6164]~E(f295(f295(f143(x61641,x61645),x61646),x61642),f295(f295(f143(x61643,x61645),x61647),x61644))+E(f295(f177(f903(x61641)),x61642),f295(f177(f903(x61643)),x61644)) % 192.26/192.34 [6517]E(f295(x65171,f295(x65172,x65173)),f295(x65174,x65173))+~E(f295(f295(f74(x65175,x65176,x65177),x65171),x65172),x65174) % 192.26/192.34 [7622]E(f295(x76221,f295(x76222,x76223)),f295(x76224,x76223))+~E(f295(f295(f74(x76225,x76226,x76227),x76221),x76222),f295(f295(f74(x76226,x76226,x76227),f36(x76226)),x76224)) % 192.26/192.34 [8981]~P34(x89814,x89815,x89811,f295(f295(f140(x89814),x89812),x89816),f295(f295(f140(x89815),x89813),x89817))+P1(f295(f295(x89811,x89812),x89813)) % 192.26/192.34 [9368]P34(x93681,x93682,x93683,x93684,x93685)+~P34(x93681,x93682,x93683,f295(f295(f140(x93681),x93686),x93684),f295(f295(f140(x93682),x93687),x93685)) % 192.26/192.34 [9979]P1(f295(f295(x99791,x99792),f641(x99793,x99792,x99794,x99791)))+~P1(f295(f295(f222(x99795,x99796,x99797,x99791,x99794),x99792),x99793)) % 192.26/192.34 [10000]P1(f295(f295(x100001,f641(x100002,x100003,x100001,x100004)),x100002))+~P1(f295(f295(f222(x100005,x100006,x100007,x100004,x100001),x100003),x100002)) % 192.26/192.34 [8561]~P19(x85616,x85611,x85613,x85617)+E(f295(f295(f74(x85611,x85611,x85612),f295(x85613,x85614)),f295(f295(f74(x85611,x85611,x85612),f295(x85613,x85614)),x85615)),f295(f295(f74(x85611,x85611,x85612),f295(x85613,x85614)),x85615)) % 192.26/192.34 [9471]~P34(x94713,x94712,x94714,f295(f295(f143(x94711,x94713),x94715),x94716),x94717)+P34(x94711,x94712,f295(f295(f8(x94713,f911(x94712,a897),x94711),x94714),x94715),x94716,x94717) % 192.26/192.34 [9497]P34(x94971,x94972,x94973,f295(f295(f143(x94974,x94971),x94975),x94976),x94977)+~P34(x94974,x94972,f295(f295(f8(x94971,f911(x94972,a897),x94974),x94973),x94975),x94976,x94977) % 192.26/192.34 [9107]~P1(f295(f295(f297(x91071),x91072),f295(f295(x91075,x91076),x91077)))+P1(f295(f295(f297(x91071),x91072),f295(f295(f228(x91073,x91074,f911(x91071,a897)),x91075),f295(f295(f217(x91073,x91074),x91076),x91077)))) % 192.26/192.34 [9390]P1(f295(f295(f295(x93901,x93902),x93903),x93904))+~P1(f295(f295(f295(f228(x93905,x93906,f911(x93907,a897)),x93901),f295(f295(f217(x93905,x93906),x93902),x93903)),x93904)) % 192.26/192.34 [9532]P1(f295(f295(f297(x95321),f295(f295(x95322,x95323),x95324)),f295(f276(f910(x95325,x95326),x95321,f295(f228(x95325,x95326,x95321),x95322)),x95327)))+~P1(f295(f295(f297(f910(x95325,x95326)),f295(f295(f217(x95325,x95326),x95323),x95324)),x95327)) % 192.26/192.34 [9867]P1(f295(f295(f297(f910(f903(x98671),f903(x98671))),f295(f295(f217(f903(x98671),f903(x98671)),f295(f295(f122(x98671),x98672),f295(f295(f140(x98671),x98673),x98674))),f295(f295(f122(x98671),x98672),f295(f295(f140(x98671),x98675),x98676)))),f136(x98671,x98677)))+~P1(f295(f295(f297(f910(x98671,x98671)),f295(f295(f217(x98671,x98671),x98673),x98675)),x98677)) % 192.26/192.34 [9929]~P34(x99291,x99293,x99294,x99296,f295(f295(f143(x99292,x99293),x99295),x99297))+P34(x99291,x99292,f295(f295(f7(x99291,f911(x99292,x99293),f911(x99292,a897)),f295(f295(f8(f911(x99293,a897),f911(f911(x99292,x99293),f911(x99292,a897)),x99291),f8(x99293,a897,x99292)),x99294)),x99295),x99296,x99297) % 192.26/192.34 [10004]P34(x100041,x100042,x100043,x100044,f295(f295(f143(x100045,x100042),x100046),x100047))+~P34(x100041,x100045,f295(f295(f7(x100041,f911(x100045,x100042),f911(x100045,a897)),f295(f295(f8(f911(x100042,a897),f911(f911(x100045,x100042),f911(x100045,a897)),x100041),f8(x100042,a897,x100045)),x100043)),x100046),x100044,x100047) % 192.26/192.34 [10362]P1(f295(f295(f297(x103621),f559(x103622,x103623,x103624,x103625,x103626,x103627,x103621)),x103625))+P1(f295(f295(f295(f295(f43(x103621,f911(x103627,f911(x103626,a897))),x103625),x103624),x103623),x103622)) % 192.26/192.34 [10363]P1(f295(f295(f297(x103631),f824(x103632,x103633,x103634,x103635,x103636,x103637,x103631)),x103637))+P1(f295(f295(f295(f295(f43(x103631,f911(x103633,f911(x103632,a897))),x103637),x103636),x103635),x103634)) % 192.26/192.34 [10364]P1(f295(f295(f297(x103641),f567(x103642,x103643,x103644,x103645,x103646,x103647,x103641)),x103645))+~P1(f295(f295(f295(f295(f44(x103641,f911(x103647,f911(x103646,a897))),x103645),x103644),x103643),x103642)) % 192.26/192.34 [10365]P1(f295(f295(f297(x103651),f814(x103652,x103653,x103654,x103655,x103656,x103657,x103651)),x103655))+~P1(f295(f295(f295(f295(f44(x103651,f911(x103657,f911(x103656,a897))),x103655),x103654),x103653),x103652)) % 192.26/192.34 [10398]P1(f295(f295(f295(x103981,f567(x103982,x103983,x103981,x103984,x103985,x103986,x103987)),x103983),x103982))+~P1(f295(f295(f295(f295(f44(x103987,f911(x103986,f911(x103985,a897))),x103984),x103981),x103983),x103982)) % 192.26/192.34 [10399]P1(f295(f295(f295(x103991,f814(x103992,x103993,x103991,x103994,x103995,x103996,x103997)),x103993),x103992))+~P1(f295(f295(f295(f295(f44(x103997,f911(x103996,f911(x103995,a897))),x103994),x103991),x103993),x103992)) % 192.26/192.34 [10414]~P1(f295(f295(f295(x104145,f559(x104147,x104146,x104145,x104144,x104143,x104142,x104141)),x104146),x104147))+P1(f295(f295(f295(f295(f43(x104141,f911(x104142,f911(x104143,a897))),x104144),x104145),x104146),x104147)) % 192.26/192.34 [10415]~P1(f295(f295(f295(x104155,f824(x104153,x104152,x104157,x104156,x104155,x104154,x104151)),x104156),x104157))+P1(f295(f295(f295(f295(f43(x104151,f911(x104152,f911(x104153,a897))),x104154),x104155),x104156),x104157)) % 192.26/192.34 [10429]~P1(f295(f295(f297(f910(x104291,x104293)),f295(f295(f217(x104291,x104293),x104296),x104297)),f295(f295(f255(x104291,x104292,x104293),x104294),x104295)))+P1(f295(f295(f222(x104291,x104292,x104293,f295(f295(f7(x104291,f911(f910(x104291,x104292),a897),f911(x104292,a897)),f295(f295(f8(f911(x104292,f911(f911(f910(x104291,x104292),a897),a897)),f911(f911(f910(x104291,x104292),a897),f911(x104292,a897)),x104291),f7(x104292,f911(f910(x104291,x104292),a897),a897)),f295(f295(f8(f911(x104292,f910(x104291,x104292)),f911(x104292,f911(f911(f910(x104291,x104292),a897),a897)),x104291),f295(f8(f910(x104291,x104292),f911(f911(f910(x104291,x104292),a897),a897),x104292),f297(f910(x104291,x104292)))),f217(x104291,x104292)))),x104294),f295(f295(f7(x104292,f911(f910(x104292,x104293),a897),f911(x104293,a897)),f295(f295(f8(f911(x104293,f911(f911(f910(x104292,x104293),a897),a897)),f911(f911(f910(x104292,x104293),a897),f911(x104293,a897)),x104292),f7(x104293,f911(f910(x104292,x104293),a897),a897)),f295(f295(f8(f911(x104293,f910(x104292,x104293)),f911(x104293,f911(f911(f910(x104292,x104293),a897),a897)),x104292),f295(f8(f910(x104292,x104293),f911(f911(f910(x104292,x104293),a897),a897),x104293),f297(f910(x104292,x104293)))),f217(x104292,x104293)))),x104295)),x104296),x104297)) % 192.26/192.34 [10438]P1(f295(f295(f297(f910(x104381,x104382)),f295(f295(f217(x104381,x104382),x104383),x104384)),f295(f295(f255(x104381,x104385,x104382),x104386),x104387)))+~P1(f295(f295(f222(x104381,x104385,x104382,f295(f295(f7(x104381,f911(f910(x104381,x104385),a897),f911(x104385,a897)),f295(f295(f8(f911(x104385,f911(f911(f910(x104381,x104385),a897),a897)),f911(f911(f910(x104381,x104385),a897),f911(x104385,a897)),x104381),f7(x104385,f911(f910(x104381,x104385),a897),a897)),f295(f295(f8(f911(x104385,f910(x104381,x104385)),f911(x104385,f911(f911(f910(x104381,x104385),a897),a897)),x104381),f295(f8(f910(x104381,x104385),f911(f911(f910(x104381,x104385),a897),a897),x104385),f297(f910(x104381,x104385)))),f217(x104381,x104385)))),x104386),f295(f295(f7(x104385,f911(f910(x104385,x104382),a897),f911(x104382,a897)),f295(f295(f8(f911(x104382,f911(f911(f910(x104385,x104382),a897),a897)),f911(f911(f910(x104385,x104382),a897),f911(x104382,a897)),x104385),f7(x104382,f911(f910(x104385,x104382),a897),a897)),f295(f295(f8(f911(x104382,f910(x104385,x104382)),f911(x104382,f911(f911(f910(x104385,x104382),a897),a897)),x104385),f295(f8(f910(x104385,x104382),f911(f911(f910(x104385,x104382),a897),a897),x104382),f297(f910(x104385,x104382)))),f217(x104385,x104382)))),x104387)),x104383),x104384)) % 192.26/192.34 [10375]~P147(x103752)+E(f295(f295(f6(x103751,x103752),f295(f295(f7(x103751,f911(x103753,a897),x103752),f295(f295(f8(f911(x103753,x103752),f911(f911(x103753,a897),x103752),x103751),f6(x103753,x103752)),f295(f295(f7(x103751,f911(x103753,x103752),f911(x103753,x103752)),f295(f295(f8(f911(x103752,x103752),f911(f911(x103753,x103752),f911(x103753,x103752)),x103751),f8(x103752,x103752,x103753)),f295(f295(f8(x103752,f911(x103752,x103752),x103751),f84(x103752)),x103754))),x103755))),x103756)),x103757),f295(f295(f84(x103752),f295(f295(f6(x103751,x103752),x103754),x103757)),f295(f295(f6(x103753,x103752),x103755),x103756))) % 192.26/192.34 [10352]P42(x103521,x103522,x103523,x103524)+~P57(x103521,x103522,x103523,x103524,x103525,x103526,x103527,x103528) % 192.26/192.34 [10348]~P57(x103484,x103485,x103486,x103481,x103482,x103487,x103488,x103483)+E(f295(x103481,x103482),x103483) % 192.26/192.34 [10350]~P57(x103505,x103506,x103501,x103507,x103503,x103502,x103504,x103508)+E(f295(f295(x103501,x103502),x103503),x103504) % 192.26/192.34 [10184]P1(f295(f295(x101845,f856(x101848,x101847,x101846,x101845)),f866(x101848,x101847,x101846,x101845)))+P1(f295(f295(f235(x101841,x101842,x101843,x101844,x101845,x101846),x101847),x101848)) % 192.26/192.34 [10189]~P1(f295(f295(x101896,f295(x101897,f856(x101898,x101897,x101896,x101895))),f295(x101898,f866(x101898,x101897,x101896,x101895))))+P1(f295(f295(f235(x101891,x101892,x101893,x101894,x101895,x101896),x101897),x101898)) % 192.26/192.34 [10432]P1(f295(f295(x104325,f895(x104324,x104323,x104322,x104321,x104328,x104327,x104326,x104325)),f314(x104324,x104323,x104322,x104321,x104328,x104327,x104326,x104325)))+P1(f295(f295(f235(x104321,x104322,x104323,x104324,x104325,x104326),x104327),x104328)) % 192.26/192.34 [10447]~P1(f295(f295(x104476,f295(x104477,f895(x104474,x104473,x104472,x104471,x104478,x104477,x104476,x104475))),f295(x104478,f314(x104474,x104473,x104472,x104471,x104478,x104477,x104476,x104475))))+P1(f295(f295(f235(x104471,x104472,x104473,x104474,x104475,x104476),x104477),x104478)) % 192.26/192.34 [8947]~P18(x89477,x89471,x89473,x89478)+E(f295(f295(f74(x89471,x89471,x89472),f295(x89473,x89474)),f295(f295(f74(x89471,x89471,x89472),f295(x89473,x89475)),x89476)),f295(f295(f74(x89471,x89471,x89472),f295(x89473,x89475)),f295(f295(f74(x89471,x89471,x89472),f295(x89473,x89474)),x89476))) % 192.26/192.34 [10433]E(f295(f295(f217(x104331,x104332),f295(x104333,f630(x104334,x104335,x104333,x104336,x104337,x104338,x104332,x104331))),f295(x104335,f631(x104334,x104335,x104333,x104336,x104337,x104338,x104332,x104331))),x104338)+~P1(f295(f295(f297(f910(x104331,x104332)),x104338),f295(f276(f910(x104337,x104336),f910(x104331,x104332),f229(x104337,x104331,x104336,x104332,x104333,x104335)),x104334))) % 192.26/192.34 [10448]~P1(f295(f295(f297(f910(x104488,x104487)),x104486),f295(f276(f910(x104481,x104482),f910(x104488,x104487),f229(x104481,x104488,x104482,x104487,x104485,x104484)),x104483)))+P1(f295(f295(f297(f910(x104481,x104482)),f295(f295(f217(x104481,x104482),f630(x104483,x104484,x104485,x104482,x104481,x104486,x104487,x104488)),f631(x104483,x104484,x104485,x104482,x104481,x104486,x104487,x104488))),x104483)) % 192.26/192.34 [9855]P1(f295(f295(f297(f910(f910(x98551,x98552),f910(x98551,x98552))),f295(f295(f217(f910(x98551,x98552),f910(x98551,x98552)),f295(f295(f217(x98551,x98552),x98553),x98554)),f295(f295(f217(x98551,x98552),x98555),x98556))),f288(x98551,x98552,x98557,x98558)))+~P1(f295(f295(f297(f910(x98551,x98551)),f295(f295(f217(x98551,x98551),x98553),x98555)),x98557)) % 192.26/192.34 [10424]E(f295(f131(x104241,x104242,f295(f7(x104242,x104241,x104241),x104243),f295(x104244,x104245)),x104246),f295(x104244,f295(f131(x104247,x104242,f295(f7(x104242,x104247,x104247),x104248),x104245),x104246)))+P1(f295(f295(f297(x104242),f736(x104245,x104248,x104244,x104243,x104247,x104241,x104246,x104242)),f295(f160(x104242),x104246))) % 192.26/192.34 [10441]~E(f295(f295(f74(x104411,x104411,x104417),f295(x104413,f736(x104415,x104418,x104414,x104413,x104417,x104411,x104416,x104412))),x104414),f295(f295(f74(x104417,x104411,x104417),x104414),f295(x104418,f736(x104415,x104418,x104414,x104413,x104417,x104411,x104416,x104412))))+E(f295(f131(x104411,x104412,f295(f7(x104412,x104411,x104411),x104413),f295(x104414,x104415)),x104416),f295(x104414,f295(f131(x104417,x104412,f295(f7(x104412,x104417,x104417),x104418),x104415),x104416))) % 192.26/192.34 [7634]E(f295(x76341,f295(x76342,x76343)),f295(x76344,f295(x76345,x76343)))+~E(f295(f295(f74(x76346,x76347,x76348),x76341),x76342),f295(f295(f74(x76349,x76347,x76348),x76344),x76345)) % 192.26/192.34 [10278]P1(f295(f295(f297(f910(x102781,x102782)),f295(f295(f217(x102781,x102782),f295(x102783,x102784)),f295(x102785,x102786))),f295(f276(f910(x102787,x102788),f910(x102781,x102782),f229(x102787,x102781,x102788,x102782,x102783,x102785)),x102789)))+~P1(f295(f295(f297(f910(x102787,x102788)),f295(f295(f217(x102787,x102788),x102784),x102786)),x102789)) % 192.26/192.34 [8143]~E(f295(x81434,f295(x81435,x81436)),f295(x81439,f295(x814310,x814311)))+E(f295(f295(f295(f74(x81431,x81432,x81433),x81434),x81435),x81436),f295(f295(f295(f74(x81437,x81432,x81438),x81439),x814310),x814311)) % 192.26/192.34 [4737]~P114(x47371)+~P110(x47371)+E(f108(x47371),f205(x47371)) % 192.26/192.34 [4738]~P114(x47381)+~P109(x47381)+E(f117(x47381),f206(x47381)) % 192.26/192.34 [4997]~P119(x49971)+~P104(x49971)+E(f295(f77(x49971),f295(f110(x49971),a104)),f81(x49971)) % 192.26/192.34 [5285]E(x52851,f2(a1))+E(f85(a1,x52851),f295(f82(a1),f81(a1)))+P1(f295(f295(f208(a1),f2(a1)),x52851)) % 192.26/192.34 [5495]E(x54951,f2(a1))+E(f85(a1,x54951),f81(a1))+~P1(f295(f295(f208(a1),f2(a1)),x54951)) % 192.26/192.34 [7477]~P40(x74771)+P1(f295(f62(a1),x74771))+~P1(f295(f62(a902),f295(f276(a1,a902,a111),x74771))) % 192.26/192.34 [9810]E(x98101,f176(f911(f910(a902,a902),a897)))+~P1(f295(f62(f910(a902,a902)),x98101))+P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),f176(f911(f910(a902,a902),a897))),x98101)),a38)) % 192.26/192.34 [9980]E(x99801,f2(a902))+E(x99801,f295(a119,f2(a902)))+~P1(f295(f295(f208(a902),x99801),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [10308]E(x103081,f2(a106))+E(f295(f295(f83(a1),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(a21,f295(f295(f40(a106),x103081),f295(f110(a106),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))))),f81(a1)),f295(a21,x103081))+E(f46(a106,x103081,f295(f110(a106),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f2(a106)) % 192.26/192.34 [10112]E(x101121,f2(a106))+~E(f46(a106,x101121,f295(f110(a106),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f2(a106))+E(f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(a21,f295(f295(f40(a106),x101121),f295(f110(a106),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f295(a21,x101121)) % 192.26/192.34 [4820]~P63(x48201,x48202)+P48(x48201,x48202)+~P49(a897) % 192.26/192.34 [4747]~P118(x47471)+P27(x47471,x47472)+~E(x47472,f2(x47471)) % 192.26/192.34 [4748]~P114(x47481)+P12(x47481,x47482)+~E(x47482,f120(x47481)) % 192.26/192.34 [4757]~P119(x47571)+~E(x47572,f2(x47571))+E(f85(x47571,x47572),f2(x47571)) % 192.26/192.34 [4758]~P96(x47581)+~E(x47582,f2(x47581))+E(f85(x47581,x47582),f2(x47581)) % 192.26/192.34 [4766]~P118(x47662)+~P27(x47662,x47661)+E(x47661,f2(x47662)) % 192.26/192.34 [4813]~P119(x48132)+~E(f85(x48132,x48131),f2(x48132))+E(x48131,f2(x48132)) % 192.26/192.34 [4828]~P3(x48282)+~P3(x48281)+P3(f33(x48281,x48282)) % 192.26/192.34 [4829]~P68(x48292)+~P68(x48291)+P68(f911(x48291,x48292)) % 192.26/192.34 [4830]~P68(x48302)+~P68(x48301)+P68(f910(x48301,x48302)) % 192.26/192.34 [4831]~P68(x48312)+~P68(x48311)+P68(f912(x48311,x48312)) % 192.26/192.34 [4832]~P7(x48322)+~P7(x48321)+P7(f183(x48321,x48322)) % 192.26/192.34 [4833]~P71(x48332)+~P71(x48331)+P71(f911(x48331,x48332)) % 192.26/192.34 [4834]~P71(x48342)+~P71(x48341)+P71(f910(x48341,x48342)) % 192.26/192.34 [4835]~P71(x48352)+~P71(x48351)+P71(f912(x48351,x48352)) % 192.26/192.34 [4968]~P114(x49681)+~P12(x49681,x49682)+P12(x49681,f141(x49681,x49682)) % 192.26/192.34 [5212]~P7(x52122)+~P7(x52121)+P7(f46(a1,x52121,x52122)) % 192.26/192.34 [4768]~P84(x47681)+~E(x47682,f2(x47681))+E(f295(f82(x47681),x47682),x47682) % 192.26/192.34 [4783]~P145(x47831)+~E(x47832,f2(a1))+E(f295(f109(x47831),x47832),f2(x47831)) % 192.26/192.34 [4784]~P103(x47841)+~E(x47842,f2(a1))+E(f295(f109(x47841),x47842),f2(x47841)) % 192.26/192.34 [4810]~P76(x48101)+~E(f2(x48101),x48102)+E(f295(f82(x48101),x48102),f2(x48101)) % 192.26/192.34 [4811]~P76(x48111)+~E(x48112,f2(x48111))+E(f295(f82(x48111),x48112),f2(x48111)) % 192.26/192.34 [4812]~P93(x48121)+~E(x48122,f2(x48121))+E(f295(f77(x48121),x48122),f2(x48121)) % 192.26/192.34 [4837]~P84(x48372)+E(x48371,f2(x48372))+~E(f295(f82(x48372),x48371),x48371) % 192.26/192.34 [4845]E(x48451,f295(a111,x48452))+~E(x48451,f2(a902))+~E(x48452,f295(f107(a1),x48451)) % 192.26/192.34 [4846]E(f295(a111,x48461),x48462)+~E(x48462,f2(a902))+~E(x48461,f295(f107(a1),x48462)) % 192.26/192.34 [4850]~P103(x48502)+E(x48501,f2(a1))+~E(f295(f109(x48502),x48501),f2(x48502)) % 192.26/192.34 [4854]~P76(x48542)+E(x48541,f2(x48542))+~E(f295(f82(x48542),x48541),f2(x48542)) % 192.26/192.34 [4855]~P93(x48552)+E(x48551,f2(x48552))+~E(f295(f77(x48552),x48551),f2(x48552)) % 192.26/192.34 [4856]~P76(x48561)+E(f2(x48561),x48562)+~E(f295(f82(x48561),x48562),f2(x48561)) % 192.26/192.34 [5044]~P114(x50441)+~P12(x50441,x50442)+P12(x50441,f295(f159(x50441),x50442)) % 192.26/192.34 [5071]~P1(x50712)+~P1(x50711)+P1(f295(f295(a293,x50711),x50712)) % 192.26/192.34 [5103]~E(f81(a902),f2(a902))+E(f295(f39(x51031),x51032),f2(a902))+~P1(f295(f62(x51031),x51032)) % 192.26/192.34 [5139]~P121(x51391)+~P147(x51391)+E(f295(f295(f218(x51391),f2(x51391)),f295(a119,x51392)),f2(x51391)) % 192.26/192.34 [5177]~P114(x51771)+P12(x51771,f128(x51771,x51772))+~P1(f295(f62(x51771),x51772)) % 192.26/192.34 [5178]~P114(x51781)+P12(x51781,f757(x51782,x51781))+~P1(f295(f62(x51781),x51782)) % 192.26/192.34 [5204]~P114(x52041)+E(f295(f160(x52041),f128(x52041,x52042)),x52042)+~P1(f295(f62(x52041),x52042)) % 192.26/192.34 [5205]~P114(x52051)+E(f295(f160(x52051),f757(x52052,x52051)),x52052)+~P1(f295(f62(x52051),x52052)) % 192.26/192.34 [5236]P1(x52361)+P1(x52362)+~P1(f295(f295(a294,x52362),x52361)) % 192.26/192.34 [5249]E(x52491,f176(f911(x52492,a897)))+~E(f295(f39(x52492),x52491),f2(a902))+~P1(f295(f62(x52492),x52491)) % 192.26/192.34 [5254]P1(x52541)+~P1(x52542)+~P1(f295(f295(a298,x52542),x52541)) % 192.26/192.34 [5303]~P82(x53031)+E(f295(f77(x53031),x53032),x53032)+P1(f295(f295(f208(x53031),x53032),f2(x53031))) % 192.26/192.34 [5364]~P71(x53642)+~P1(f295(f57(x53642),x53641))+P1(f295(x53641,f523(x53641,x53642))) % 192.26/192.34 [5365]~P71(x53652)+~P1(f295(f57(x53652),x53651))+P1(f295(x53651,f568(x53651,x53652))) % 192.26/192.34 [5402]E(x54021,f120(x54022))+P1(f295(f126(x54022),f121(x54022,x54021)))+~P1(f295(f126(x54022),x54021)) % 192.26/192.34 [5407]~P114(x54071)+~P1(f295(f62(x54071),x54072))+P1(f295(f126(x54071),f128(x54071,x54072))) % 192.26/192.34 [5408]~P114(x54081)+~P1(f295(f62(x54081),x54082))+P1(f295(f126(x54081),f757(x54082,x54081))) % 192.26/192.34 [5413]~P145(x54131)+E(f295(f107(x54131),f295(a111,x54132)),f295(f109(x54131),x54132))+P1(f295(f295(f208(a1),x54132),f2(a1))) % 192.26/192.34 [5440]P8(x54402,x54401)+E(f295(x54401,f686(x54401)),f295(x54401,f709(x54401)))+P1(f295(f295(x54401,f686(x54401)),f709(x54401))) % 192.26/192.34 [5451]E(f295(f107(a1),f477(x54511,x54512)),x54511)+P1(f295(x54512,f295(a111,x54511)))+~P1(f295(x54512,f2(a902))) % 192.26/192.34 [5463]~P71(x54631)+~P1(f295(x54632,f569(x54632,x54631)))+P1(f295(f58(x54631),x54632)) % 192.26/192.34 [5464]~P71(x54641)+~P1(f295(x54642,f576(x54642,x54641)))+P1(f295(f58(x54641),x54642)) % 192.26/192.34 [5505]~P119(x55051)+~E(f85(x55051,x55052),f295(f82(x55051),f81(x55051)))+P1(f295(f295(f208(x55051),x55052),f2(x55051))) % 192.26/192.34 [5578]~E(x55782,f2(a1))+E(f191(x55781,x55782),f295(f295(f217(a1,a1),f2(a1)),f81(a1)))+P1(f295(f295(f208(a1),x55782),f2(a1))) % 192.26/192.34 [5579]~E(x55791,f2(a1))+E(f191(x55791,x55792),f295(f295(f217(a1,a1),f2(a1)),f81(a1)))+P1(f295(f295(f208(a1),x55792),f2(a1))) % 192.26/192.34 [5631]E(f295(f107(a1),f477(x56311,x56312)),x56311)+P1(f295(x56312,f295(a111,x56311)))+P1(f295(f295(f208(a1),x56311),f2(a1))) % 192.26/192.34 [5698]~P119(x56981)+E(f85(x56981,x56982),f295(f82(x56981),f81(x56981)))+~P1(f295(f295(f208(x56981),x56982),f2(x56981))) % 192.26/192.34 [5699]~P93(x56991)+E(f295(f77(x56991),x56992),f295(f82(x56991),x56992))+~P1(f295(f295(f207(x56991),x56992),f2(x56991))) % 192.26/192.34 [5700]~P93(x57001)+E(f295(f77(x57001),x57002),f295(f82(x57001),x57002))+~P1(f295(f295(f208(x57001),x57002),f2(x57001))) % 192.26/192.34 [5701]~P82(x57011)+E(f295(f77(x57011),x57012),f295(f82(x57011),x57012))+~P1(f295(f295(f208(x57011),x57012),f2(x57011))) % 192.26/192.34 [5797]~P1(f295(x57971,f477(x57972,x57971)))+P1(f295(x57971,f295(a111,x57972)))+~P1(f295(x57971,f2(a902))) % 192.26/192.34 [5804]E(x58041,f2(a902))+E(f295(a119,f417(x58042,x58041)),x58041)+~P1(f295(f295(f208(a902),x58041),f295(a119,x58042))) % 192.26/192.34 [5808]P8(x58081,x58082)+~E(f295(x58082,f686(x58082)),f295(x58082,f709(x58082)))+~P1(f295(f295(x58082,f686(x58082)),f709(x58082))) % 192.26/192.34 [5826]~P114(x58261)+P12(x58261,x58262)+P1(f295(f295(f207(a902),f699(x58262,x58261)),f700(x58262,x58261))) % 192.26/192.34 [5827]~P114(x58271)+P12(x58271,x58272)+P1(f295(f295(f207(a902),f710(x58272,x58271)),f717(x58272,x58271))) % 192.26/192.34 [5911]~P93(x59111)+~E(x59112,f2(x59111))+P1(f295(f295(f207(x59111),f295(f77(x59111),x59112)),f2(x59111))) % 192.26/192.34 [5998]~P1(f295(x59981,f477(x59982,x59981)))+P1(f295(x59981,f295(a111,x59982)))+P1(f295(f295(f208(a1),x59982),f2(a1))) % 192.26/192.34 [6021]~P1(f295(x60211,f295(a111,x60212)))+P1(f295(x60211,f2(a902)))+~P1(f295(f295(f208(a1),x60212),f2(a1))) % 192.26/192.34 [6353]~P119(x63531)+~P1(f295(f295(f208(x63531),x63532),f2(x63531)))+P1(f295(f295(f208(x63531),f85(x63531,x63532)),f2(x63531))) % 192.26/192.34 [6469]~P119(x64691)+P1(f295(f295(f207(x64691),f295(f109(x64691),x64692)),f2(x64691)))+~P1(f295(f295(f207(a1),x64692),f2(a1))) % 192.26/192.34 [6470]~P119(x64701)+P1(f295(f295(f208(x64701),f295(f109(x64701),x64702)),f2(x64701)))+~P1(f295(f295(f208(a1),x64702),f2(a1))) % 192.26/192.34 [6477]~P93(x64772)+E(x64771,f2(x64772))+~P1(f295(f295(f207(x64772),f295(f77(x64772),x64771)),f2(x64772))) % 192.26/192.34 [6555]~P145(x65551)+~P1(f295(f295(f297(x65551),x65552),f116(x65551)))+P1(f295(f295(f297(x65551),f295(f82(x65551),x65552)),f116(x65551))) % 192.26/192.34 [6588]~P119(x65881)+~P1(f295(f295(f208(x65881),f85(x65881,x65882)),f2(x65881)))+P1(f295(f295(f208(x65881),x65882),f2(x65881))) % 192.26/192.34 [6757]~P119(x67572)+~P1(f295(f295(f207(x67572),f295(f109(x67572),x67571)),f2(x67572)))+P1(f295(f295(f207(a1),x67571),f2(a1))) % 192.26/192.34 [6758]~P119(x67582)+~P1(f295(f295(f208(x67582),f295(f109(x67582),x67581)),f2(x67582)))+P1(f295(f295(f208(a1),x67581),f2(a1))) % 192.26/192.34 [7255]~P84(x72551)+~P1(f295(f295(f207(x72551),x72552),f2(x72551)))+P1(f295(f295(f207(x72551),f295(f295(f83(x72551),x72552),x72552)),f2(x72551))) % 192.26/192.34 [7256]~P84(x72561)+~P1(f295(f295(f208(x72561),x72562),f2(x72561)))+P1(f295(f295(f208(x72561),f295(f295(f83(x72561),x72562),x72562)),f2(x72561))) % 192.26/192.34 [7257]~P119(x72571)+~P1(f295(f295(f208(x72571),x72572),f2(x72571)))+P1(f295(f295(f208(x72571),f295(f295(f83(x72571),x72572),x72572)),f2(x72571))) % 192.26/192.34 [7821]~P84(x78211)+~P1(f295(f295(f207(x78211),f295(f295(f83(x78211),x78212),x78212)),f2(x78211)))+P1(f295(f295(f207(x78211),x78212),f2(x78211))) % 192.26/192.34 [7822]~P84(x78221)+~P1(f295(f295(f208(x78221),f295(f295(f83(x78221),x78222),x78222)),f2(x78221)))+P1(f295(f295(f208(x78221),x78222),f2(x78221))) % 192.26/192.34 [7823]~P119(x78231)+~P1(f295(f295(f208(x78231),f295(f295(f83(x78231),x78232),x78232)),f2(x78231)))+P1(f295(f295(f208(x78231),x78232),f2(x78231))) % 192.26/192.34 [4897]~E(x48972,f2(a902))+~E(x48971,f2(a902))+E(f295(f295(f83(a902),x48971),x48972),f2(a902)) % 192.26/192.34 [4898]~E(x48982,f81(a902))+~E(x48981,f81(a902))+E(f295(f295(f84(a902),x48981),x48982),f81(a902)) % 192.26/192.34 [4899]~E(x48992,f81(a1))+~E(x48991,f81(a1))+E(f295(f295(f84(a1),x48991),x48992),f81(a1)) % 192.26/192.34 [4952]~P69(x49522)+E(x49521,f2(x49522))+E(f295(f295(f40(x49522),x49521),x49521),f81(x49522)) % 192.26/192.34 [4953]~P126(x49532)+E(x49531,f2(x49532))+E(f295(f295(f256(x49532),x49531),x49531),f81(x49532)) % 192.26/192.34 [4954]~P127(x49542)+E(x49541,f2(x49542))+E(f295(f295(f256(x49542),x49541),x49541),f81(x49542)) % 192.26/192.34 [4973]~P84(x49731)+~E(x49732,f2(x49731))+E(f295(f295(f83(x49731),x49732),x49732),f2(x49731)) % 192.26/192.34 [4976]~P146(x49761)+~E(x49762,f81(x49761))+E(f295(f295(f84(x49761),x49762),x49762),f81(x49761)) % 192.26/192.34 [4977]~P127(x49771)+~E(x49772,f2(x49771))+E(f295(f295(f256(x49771),x49772),x49772),f2(x49771)) % 192.26/192.34 [5022]~E(x50222,f2(a902))+~E(x50221,f2(a902))+E(f295(f82(a1),f295(f107(a1),x50221)),f295(f107(a1),x50222)) % 192.26/192.34 [5041]E(x50411,f81(a902))+E(x50412,f2(a902))+~E(f295(f295(f84(a902),x50412),x50411),x50412) % 192.26/192.34 [5053]E(x50531,f2(a902))+E(x50532,f2(a902))+~E(f295(f295(f84(a902),x50532),x50531),f2(a902)) % 192.26/192.34 [5080]~E(x50802,f2(a902))+~E(x50801,f295(a119,f2(a902)))+E(f295(f295(f83(a902),x50801),x50802),f295(a119,f2(a902))) % 192.26/192.34 [5081]~E(x50811,f2(a902))+~E(x50812,f295(a119,f2(a902)))+E(f295(f295(f83(a902),x50811),x50812),f295(a119,f2(a902))) % 192.26/192.34 [5086]E(x50861,f81(a1))+E(x50862,f295(f110(a1),a104))+~E(f295(f295(f84(a1),x50861),x50862),f81(a1)) % 192.26/192.34 [5087]E(x50871,f81(a1))+E(x50872,f295(f110(a1),a104))+~E(f295(f295(f84(a1),x50872),x50871),f81(a1)) % 192.26/192.34 [5088]E(x50881,f81(a1))+E(x50881,f295(f110(a1),a104))+~E(f295(f295(f84(a1),x50882),x50881),f81(a1)) % 192.26/192.34 [5090]E(x50901,f81(a1))+E(x50901,f295(f110(a1),a104))+~E(f295(f295(f84(a1),x50901),x50902),f81(a1)) % 192.26/192.34 [5111]~P84(x51112)+E(x51111,f2(x51112))+~E(f295(f295(f83(x51112),x51111),x51111),f2(x51112)) % 192.26/192.34 [5117]~E(x51171,f295(f110(a1),a104))+~E(x51172,f295(f110(a1),a104))+E(f295(f295(f84(a1),x51171),x51172),f81(a1)) % 192.26/192.34 [5128]E(x51281,f2(a902))+E(x51282,f2(a902))+~E(f295(f295(f83(a902),x51282),x51281),f295(a119,f2(a902))) % 192.26/192.34 [5138]~P72(x51381)+~P104(x51381)+E(f295(f295(f256(x51381),x51382),f295(f110(x51381),a86)),f2(x51381)) % 192.26/192.34 [5144]~P146(x51441)+~E(x51442,f295(f82(x51441),f81(x51441)))+E(f295(f295(f84(x51441),x51442),x51442),f81(x51441)) % 192.26/192.34 [5149]~P7(x51492)+~P7(x51491)+P7(f295(f295(f83(a1),x51491),x51492)) % 192.26/192.34 [5150]~P7(x51502)+~P7(x51501)+P7(f295(f295(f84(a1),x51501),x51502)) % 192.26/192.34 [5151]~P7(x51512)+~P7(x51511)+P7(f295(f295(f40(a1),x51511),x51512)) % 192.26/192.34 [5153]~E(x51532,f2(a1))+E(x51531,f2(a1))+E(f47(x51531,x51532),f295(f295(f217(a1,a1),f2(a1)),x51531)) % 192.26/192.34 [5175]~E(x51752,f295(a119,f2(a902)))+~E(x51751,f295(a119,f2(a902)))+E(f295(f295(f84(a902),x51751),x51752),f295(a119,f2(a902))) % 192.26/192.34 [5192]E(x51921,f2(a902))+E(x51922,f295(a119,f2(a902)))+~E(f295(f295(f218(a902),x51922),x51921),f295(a119,f2(a902))) % 192.26/192.34 [5193]E(x51931,f2(a902))+E(x51931,f295(a119,f2(a902)))+~E(f295(f295(f83(a902),x51932),x51931),f295(a119,f2(a902))) % 192.26/192.34 [5194]E(x51941,f2(a902))+E(x51941,f295(a119,f2(a902)))+~E(f295(f295(f83(a902),x51941),x51942),f295(a119,f2(a902))) % 192.26/192.34 [5206]~P72(x52061)+~P104(x52061)+E(f295(f295(f256(x52061),x52062),f295(f110(x52061),a104)),f295(f82(x52061),x52062)) % 192.26/192.34 [5226]E(x52261,f295(a111,x52262))+~E(x52261,f2(a902))+P1(f295(f295(f207(a1),f2(a1)),x52262)) % 192.26/192.34 [5227]E(f295(a111,x52271),x52272)+~E(x52272,f2(a902))+P1(f295(f295(f207(a1),f2(a1)),x52271)) % 192.26/192.34 [5245]E(x52451,f295(a119,f2(a902)))+E(x52452,f295(a119,f2(a902)))+~E(f295(f295(f83(a902),x52451),x52452),f295(a119,f2(a902))) % 192.26/192.34 [5255]~E(x52551,f295(a111,x52552))+E(x52551,f2(a902))+P1(f295(f295(f207(a1),f2(a1)),x52552)) % 192.26/192.34 [5256]~E(f295(a111,x52562),x52561)+E(x52561,f2(a902))+P1(f295(f295(f207(a1),f2(a1)),x52562)) % 192.26/192.34 [5278]~P99(x52781)+E(f295(f64(x52781,f117(x52781)),x52782),f10(x52781,x52782))+~P1(f295(f62(x52781),x52782)) % 192.26/192.34 [5279]~P99(x52791)+E(f295(f64(x52791,f108(x52791)),x52792),f11(x52791,x52792))+~P1(f295(f62(x52791),x52792)) % 192.26/192.34 [5280]~P114(x52801)+E(f295(f64(x52801,f205(x52801)),x52802),f14(x52801,x52802))+~P1(f295(f62(x52801),x52802)) % 192.26/192.34 [5281]~P114(x52811)+E(f295(f64(x52811,f206(x52811)),x52812),f15(x52811,x52812))+~P1(f295(f62(x52811),x52812)) % 192.26/192.34 [5359]E(x53591,x53592)+~E(f295(f295(f23(a902),x53592),x53591),f2(a902))+~E(f295(f295(f23(a902),x53591),x53592),f2(a902)) % 192.26/192.34 [5376]P7(x53761)+~P40(x53762)+~P1(f295(f295(f297(a1),x53761),x53762)) % 192.26/192.34 [5403]~P119(x54031)+~E(f85(x54031,x54032),f81(x54031))+P1(f295(f295(f208(x54031),f2(x54031)),x54032)) % 192.26/192.34 [5414]~P104(x54141)+E(f295(f107(x54141),f295(f110(a902),x54142)),f295(f110(x54141),x54142))+P1(f295(a179,f295(f110(a1),x54142))) % 192.26/192.34 [5419]~P48(x54191,x54192)+P49(a897)+P1(f295(f62(f910(x54191,x54191)),x54192)) % 192.26/192.34 [5497]~P114(x54971)+E(f295(f64(x54971,f205(x54971)),x54972),f12(x54971,f205(x54971),x54972))+~P1(f295(f62(x54971),x54972)) % 192.26/192.34 [5498]~P114(x54981)+E(f295(f64(x54981,f206(x54981)),x54982),f13(x54981,f206(x54981),x54982))+~P1(f295(f62(x54981),x54982)) % 192.26/192.34 [5512]E(x55121,x55122)+P1(f295(f295(f208(a902),x55122),x55121))+P1(f295(f295(f208(a902),x55121),x55122)) % 192.26/192.34 [5513]E(x55131,x55132)+P1(f295(f295(f208(a1),x55132),x55131))+P1(f295(f295(f208(a1),x55131),x55132)) % 192.26/192.34 [5565]~P104(x55651)+E(f295(f107(x55651),f295(f110(a902),x55652)),f2(x55651))+~P1(f295(a179,f295(f110(a1),x55652))) % 192.26/192.34 [5568]~E(x55682,f295(a111,x55681))+E(x55681,f295(f107(a1),x55682))+~P1(f295(f295(f207(a1),f2(a1)),x55681)) % 192.26/192.34 [5569]~E(f295(a111,x55691),x55692)+E(x55691,f295(f107(a1),x55692))+~P1(f295(f295(f207(a1),f2(a1)),x55691)) % 192.26/192.34 [5570]~E(x55701,f295(a111,x55702))+E(f295(f107(a1),x55701),x55702)+~P1(f295(f295(f207(a1),f2(a1)),x55702)) % 192.26/192.34 [5580]E(x55801,f295(a111,x55802))+~E(x55802,f295(f107(a1),x55801))+~P1(f295(f295(f207(a1),f2(a1)),x55802)) % 192.26/192.34 [5581]E(f295(a111,x55811),x55812)+~E(x55811,f295(f107(a1),x55812))+~P1(f295(f295(f207(a1),f2(a1)),x55811)) % 192.26/192.34 [5622]~P93(x56222)+E(x56221,f2(x56222))+P1(f295(f295(f208(x56222),f2(x56222)),f295(f77(x56222),x56221))) % 192.26/192.34 [5687]~P119(x56871)+E(f85(x56871,x56872),f81(x56871))+~P1(f295(f295(f208(x56871),f2(x56871)),x56872)) % 192.26/192.34 [5691]~P104(x56911)+E(f295(f107(x56911),f295(f110(a902),x56912)),f2(x56911))+P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x56912))) % 192.26/192.34 [5702]~P93(x57021)+E(f295(f77(x57021),x57022),x57022)+~P1(f295(f295(f207(x57021),f2(x57021)),x57022)) % 192.26/192.34 [5703]~P93(x57031)+E(f295(f77(x57031),x57032),x57032)+~P1(f295(f295(f208(x57031),f2(x57031)),x57032)) % 192.26/192.34 [5710]E(x57101,f2(a902))+~E(f128(a902,f295(f268(a902,x57102),x57101)),f120(a902))+P1(f295(f295(f207(a902),x57101),x57102)) % 192.26/192.34 [5720]~P77(x57201)+E(f295(f295(f6(x57201,x57201),f5(x57201)),f295(f160(x57201),x57202)),f295(f154(x57201),x57202))+~P1(f295(f126(x57201),x57202)) % 192.26/192.34 [5723]~P145(x57231)+E(f295(f107(x57231),f295(a111,x57232)),f295(f109(x57231),x57232))+~P1(f295(f295(f207(a1),f2(a1)),x57232)) % 192.26/192.34 [5750]E(x57501,x57502)+P1(f295(f295(f208(a902),x57501),x57502))+~P1(f295(f295(f207(a902),x57501),x57502)) % 192.26/192.34 [5751]E(x57511,x57512)+P1(f295(f295(f208(a1),x57511),x57512))+~P1(f295(f295(f207(a1),x57511),x57512)) % 192.26/192.34 [5754]E(x57541,f81(a1))+~E(f295(f295(f84(a1),x57542),x57541),f81(a1))+~P1(f295(f295(f208(a1),f2(a1)),x57542)) % 192.26/192.34 [5755]E(x57551,f81(a1))+~E(f295(f295(f84(a1),x57551),x57552),f81(a1))+~P1(f295(f295(f208(a1),f2(a1)),x57551)) % 192.26/192.34 [5794]~P40(x57942)+P1(f295(f295(f207(a1),f2(a1)),x57941))+~P1(f295(f295(f297(a1),x57941),x57942)) % 192.26/192.34 [5813]~P63(x58131,x58132)+P36(x58131,x58132)+~P1(f295(f62(f910(x58131,x58131)),x58132)) % 192.26/192.34 [5815]~P63(x58151,x58152)+P48(x58151,x58152)+~P1(f295(f62(f910(x58151,x58151)),x58152)) % 192.26/192.34 [5856]E(x58561,f176(f911(x58562,a897)))+~P1(f295(f62(x58562),x58561))+P1(f295(f295(f208(a902),f2(a902)),f295(f39(x58562),x58561))) % 192.26/192.34 [5882]~P1(f295(x58821,x58822))+P1(f295(x58821,f2(a902)))+P1(f295(f295(f208(a902),f436(x58822,x58821)),x58822)) % 192.26/192.34 [5905]E(x59051,f2(a902))+~E(f295(f154(a902),x59052),f2(a902))+~P1(f295(f295(f297(a902),x59051),f295(f160(a902),x59052))) % 192.26/192.34 [5973]E(x59731,x59732)+~P1(f295(f295(f207(a902),x59732),x59731))+~P1(f295(f295(f207(a902),x59731),x59732)) % 192.26/192.34 [5974]E(x59741,x59742)+~P1(f295(f295(f207(a1),x59742),x59741))+~P1(f295(f295(f207(a1),x59741),x59742)) % 192.26/192.34 [5976]E(f295(f39(x59761),x59762),f2(a902))+~P1(f295(f62(x59761),x59762))+P1(f295(f295(f297(x59761),f570(x59762,x59761)),x59762)) % 192.26/192.34 [5985]E(f51(x59851,x59852),f47(x59851,x59852))+P1(f295(f295(f207(a1),f2(a1)),x59851))+~P1(f295(f295(f208(a1),f2(a1)),x59852)) % 192.26/192.34 [6010]~P1(f295(x60101,f475(x60101)))+P1(f295(x60101,f295(a111,x60102)))+~P1(f295(f295(f207(a1),f2(a1)),x60102)) % 192.26/192.34 [6012]P1(f295(f295(f207(a902),x60121),f373(x60122)))+~P1(f295(f62(a902),x60122))+~P1(f295(f295(f297(a902),x60121),x60122)) % 192.26/192.34 [6013]P1(f295(f295(f208(a902),x60131),f370(x60132)))+~P1(f295(f62(a902),x60132))+~P1(f295(f295(f297(a902),x60131),x60132)) % 192.26/192.34 [6043]E(x60431,x60432)+~P1(f295(f295(f208(a902),x60431),f295(a119,x60432)))+P1(f295(f295(f208(a902),x60431),x60432)) % 192.26/192.34 [6074]E(x60741,f295(a119,x60742))+~P1(f295(f295(f207(a902),x60741),f295(a119,x60742)))+P1(f295(f295(f207(a902),x60741),x60742)) % 192.26/192.34 [6090]P1(f295(x60901,f476(x60901)))+~P1(f295(x60901,f295(a111,x60902)))+~P1(f295(f295(f207(a1),f2(a1)),x60902)) % 192.26/192.34 [6104]~P1(f295(x61041,x61042))+~P1(f295(f295(f207(a1),f2(a1)),x61042))+P1(f295(x61041,f295(f107(a1),f457(x61041)))) % 192.26/192.34 [6117]~P93(x61172)+~E(x61171,f2(x61172))+~P1(f295(f295(f208(x61172),f2(x61172)),f295(f77(x61172),x61171))) % 192.26/192.34 [6144]~P63(x61441,x61442)+P36(x61441,f295(f253(x61441,x61441),x61442))+~P1(f295(f62(f910(x61441,x61441)),x61442)) % 192.26/192.34 [6152]~P104(x61521)+E(f295(f107(x61521),f295(f110(a902),x61522)),f295(f110(x61521),x61522))+~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x61522))) % 192.26/192.34 [6156]E(f295(a119,x61561),x61562)+~P1(f295(f295(f208(a902),x61561),x61562))+P1(f295(f295(f208(a902),f295(a119,x61561)),x61562)) % 192.26/192.34 [6169]E(f295(f295(f40(a1),x61691),x61692),f2(a1))+~P1(f295(f295(f207(a1),x61691),f2(a1)))+~P1(f295(f295(f208(a1),x61692),x61691)) % 192.26/192.34 [6179]E(f46(a1,x61791,x61792),x61791)+~P1(f295(f295(f207(a1),x61791),f2(a1)))+~P1(f295(f295(f208(a1),x61792),x61791)) % 192.26/192.34 [6193]E(f48(x61931,x61932),f47(x61931,x61932))+~P1(f295(f295(f207(a1),f2(a1)),x61931))+~P1(f295(f295(f207(a1),f2(a1)),x61932)) % 192.26/192.34 [6203]E(f295(f295(f40(a1),x62031),x62032),f2(a1))+~P1(f295(f295(f207(a1),f2(a1)),x62031))+~P1(f295(f295(f208(a1),x62031),x62032)) % 192.26/192.34 [6212]E(f46(a902,f295(f110(a902),x62121),f295(f110(a902),x62122)),f295(f110(a902),x62121))+P1(f295(a179,f295(f110(a1),x62121)))+~P1(f295(a179,f295(f110(a1),x62122))) % 192.26/192.34 [6214]E(f46(a1,x62141,x62142),x62141)+~P1(f295(f295(f207(a1),f2(a1)),x62141))+~P1(f295(f295(f208(a1),x62141),x62142)) % 192.26/192.34 [6215]E(x62151,x62152)+~P1(f295(f295(f208(a902),x62151),f295(a119,x62152)))+~P1(f295(f295(f207(a902),x62152),x62151)) % 192.26/192.34 [6230]~P84(x62301)+~P1(f295(f295(f207(x62301),x62302),f2(x62301)))+P1(f295(f295(f207(x62301),x62302),f295(f82(x62301),x62302))) % 192.26/192.34 [6231]~P119(x62311)+~P1(f295(f295(f208(x62311),x62312),f2(x62311)))+P1(f295(f295(f208(x62311),x62312),f295(f82(x62311),x62312))) % 192.26/192.34 [6240]~P6(x62401)+E(f295(f295(f65(x62401,x62401,f108(x62401)),f214(x62401)),x62402),f42(x62401,x62402))+~P1(f295(f62(x62401),x62402)) % 192.26/192.34 [6241]~P6(x62411)+E(f295(f295(f65(x62411,x62411,f117(x62411)),f176(x62411)),x62412),f41(x62411,x62412))+~P1(f295(f62(x62411),x62412)) % 192.26/192.34 [6258]~P119(x62581)+~P1(f295(f295(f207(a1),f2(a1)),x62582))+P1(f295(f295(f207(x62581),f2(x62581)),f295(f109(x62581),x62582))) % 192.26/192.34 [6259]~P131(x62591)+~P1(f295(f295(f208(a902),f2(a902)),x62592))+P1(f295(f295(f208(x62591),f2(x62591)),f295(f107(x62591),x62592))) % 192.26/192.34 [6260]~P119(x62601)+~P1(f295(f295(f208(a1),f2(a1)),x62602))+P1(f295(f295(f208(x62601),f2(x62601)),f295(f109(x62601),x62602))) % 192.26/192.34 [6263]~P7(x62632)+~P7(x62631)+E(f295(f276(a902,a1,f107(a1)),f269(a902,f295(a111,x62631),f295(a111,x62632))),f269(a1,x62631,x62632)) % 192.26/192.34 [6269]P1(f295(x62691,x62692))+~P1(f295(f295(f207(a1),f2(a1)),x62692))+~P1(f295(x62691,f295(f107(a1),f458(x62691)))) % 192.26/192.34 [6295]E(f295(f295(f83(a902),f295(f110(a902),x62951)),f295(f110(a902),x62952)),f295(f110(a902),x62951))+P1(f295(f295(f208(a1),x62951),a86))+~P1(f295(f295(f208(a1),x62952),a86)) % 192.26/192.34 [6299]~P119(x62991)+P1(f295(f295(f208(x62991),f2(x62991)),f85(x62991,x62992)))+~P1(f295(f295(f208(x62991),f2(x62991)),x62992)) % 192.26/192.34 [6310]~P87(x63101)+~P1(f295(f295(f207(x63101),x63102),f2(x63101)))+P1(f295(f295(f207(x63101),f2(x63101)),f295(f82(x63101),x63102))) % 192.26/192.34 [6311]~P87(x63111)+~P1(f295(f295(f208(x63111),x63112),f2(x63111)))+P1(f295(f295(f208(x63111),f2(x63111)),f295(f82(x63111),x63112))) % 192.26/192.34 [6314]E(x63141,f214(f911(x63142,a897)))+~E(f295(f39(x63142),x63141),f295(f39(x63142),f214(f911(x63142,a897))))+~P1(f295(f62(x63142),f214(f911(x63142,a897)))) % 192.26/192.34 [6345]~P84(x63451)+P1(f295(f295(f207(x63451),x63452),f2(x63451)))+~P1(f295(f295(f207(x63451),x63452),f295(f82(x63451),x63452))) % 192.26/192.34 [6346]~P119(x63461)+P1(f295(f295(f208(x63461),x63462),f2(x63461)))+~P1(f295(f295(f208(x63461),x63462),f295(f82(x63461),x63462))) % 192.26/192.34 [6355]~P104(x63551)+P1(f295(f295(f297(x63551),f295(f110(x63551),x63552)),f173(x63551)))+~P1(f295(f295(f207(a1),a86),x63552)) % 192.26/192.34 [6384]E(x63841,f2(a902))+~P1(f295(f295(f208(a902),x63841),f295(a119,x63842)))+P1(f295(f295(f208(a902),f417(x63842,x63841)),x63842)) % 192.26/192.34 [6406]~P119(x64061)+~P1(f295(f295(f208(x64061),f2(x64061)),f85(x64061,x64062)))+P1(f295(f295(f208(x64061),f2(x64061)),x64062)) % 192.26/192.34 [6408]~E(f295(f110(a902),x64082),f295(f110(a902),x64081))+P1(f295(f295(f207(a1),f295(f110(a1),x64081)),f2(a1)))+~P1(f295(a179,f295(f110(a1),x64082))) % 192.26/192.34 [6439]E(f295(f216(a1,a1),f51(x64391,x64392)),f295(f295(f40(a1),x64391),x64392))+~P1(f295(f295(f208(a1),x64391),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x64392)) % 192.26/192.34 [6475]E(f295(f227(a1,a1),f51(x64751,x64752)),f46(a1,x64751,x64752))+~P1(f295(f295(f208(a1),x64751),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x64752)) % 192.26/192.34 [6478]~P119(x64782)+~P1(f295(f295(f207(x64782),f2(x64782)),f295(f109(x64782),x64781)))+P1(f295(f295(f207(a1),f2(a1)),x64781)) % 192.26/192.34 [6479]~P131(x64792)+~P1(f295(f295(f208(x64792),f2(x64792)),f295(f107(x64792),x64791)))+P1(f295(f295(f208(a902),f2(a902)),x64791)) % 192.26/192.34 [6480]~P119(x64802)+~P1(f295(f295(f208(x64802),f2(x64802)),f295(f109(x64802),x64801)))+P1(f295(f295(f208(a1),f2(a1)),x64801)) % 192.26/192.34 [6483]E(f295(f216(a1,a1),f48(x64831,x64832)),f295(f295(f40(a1),x64831),x64832))+~P1(f295(f295(f207(a1),f2(a1)),x64832))+~P1(f295(f295(f208(a1),f2(a1)),x64831)) % 192.26/192.34 [6498]E(f295(f227(a1,a1),f48(x64981,x64982)),f46(a1,x64981,x64982))+~P1(f295(f295(f207(a1),f2(a1)),x64982))+~P1(f295(f295(f208(a1),f2(a1)),x64981)) % 192.26/192.34 [6513]~P87(x65131)+P1(f295(f295(f207(x65131),x65132),f2(x65131)))+~P1(f295(f295(f207(x65131),f2(x65131)),f295(f82(x65131),x65132))) % 192.26/192.34 [6514]~P87(x65141)+P1(f295(f295(f208(x65141),x65142),f2(x65141)))+~P1(f295(f295(f208(x65141),f2(x65141)),f295(f82(x65141),x65142))) % 192.26/192.34 [6541]P1(f295(f50(x65411,x65412),f51(x65411,x65412)))+~P1(f295(f295(f208(a1),x65411),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x65412)) % 192.26/192.34 [6567]P1(f295(f50(x65671,x65672),f48(x65671,x65672)))+~P1(f295(f295(f207(a1),f2(a1)),x65671))+~P1(f295(f295(f208(a1),f2(a1)),x65672)) % 192.26/192.34 [6612]~P87(x66121)+P1(f295(f295(f207(x66121),f295(f82(x66121),x66122)),f2(x66121)))+~P1(f295(f295(f207(x66121),f2(x66121)),x66122)) % 192.26/192.34 [6613]~P87(x66131)+P1(f295(f295(f208(x66131),f295(f82(x66131),x66132)),f2(x66131)))+~P1(f295(f295(f208(x66131),f2(x66131)),x66132)) % 192.26/192.34 [6629]E(f295(f295(f23(a902),f295(a111,x66291)),f295(a111,x66292)),f295(a111,f183(x66291,x66292)))+~P1(f295(f295(f207(a1),f2(a1)),x66292))+~P1(f295(f295(f207(a1),f2(a1)),x66291)) % 192.26/192.34 [6646]P1(f295(f295(f207(a1),f2(a1)),f183(x66461,x66462)))+~P1(f295(f295(f207(a1),f2(a1)),x66462))+~P1(f295(f295(f207(a1),f2(a1)),x66461)) % 192.26/192.34 [6683]~P1(f295(x66831,x66832))+P1(f295(x66831,f2(a902)))+P1(f295(x66831,f295(f295(f83(a902),f436(x66832,x66831)),f81(a902)))) % 192.26/192.34 [6764]E(f295(f110(a902),x67641),f295(f110(a902),x67642))+~P1(f295(f295(f207(a1),f295(f110(a1),x67642)),f2(a1)))+~P1(f295(a179,f295(f110(a1),x67641))) % 192.26/192.34 [6774]~E(x67741,f2(a902))+~E(f674(x67742,x67741),f2(a902))+E(f295(f131(a902,a902,f83(a902),x67741),x67742),f2(a902)) % 192.26/192.34 [6800]~P1(f295(f62(x68001),f381(x68002,x68001)))+~P1(f295(f62(f911(x68001,a897)),x68002))+P1(f295(f62(x68001),f41(f911(x68001,a897),x68002))) % 192.26/192.34 [6806]E(x68061,x68062)+P1(f295(f295(f208(a1),x68061),x68062))+~P1(f295(f295(f208(a1),x68061),f295(f295(f83(a1),x68062),f81(a1)))) % 192.26/192.34 [6807]P1(f295(f295(f207(a902),f295(a111,x68071)),f295(a111,x68072)))+~P1(f295(f295(f207(a1),f2(a1)),x68072))+~P1(f295(f295(f207(a1),x68071),x68072)) % 192.26/192.34 [6808]P1(f295(f295(f207(a902),f295(a111,x68081)),f295(a111,x68082)))+~P1(f295(f295(f208(a1),f2(a1)),x68081))+~P1(f295(f295(f207(a1),x68081),x68082)) % 192.26/192.34 [6810]P1(f295(f295(f208(a902),f295(a111,x68101)),f295(a111,x68102)))+~P1(f295(f295(f207(a1),f2(a1)),x68101))+~P1(f295(f295(f208(a1),x68101),x68102)) % 192.26/192.34 [6811]P1(f295(f295(f208(a902),f295(a111,x68111)),f295(a111,x68112)))+~P1(f295(f295(f208(a1),f2(a1)),x68112))+~P1(f295(f295(f208(a1),x68111),x68112)) % 192.26/192.34 [6822]E(f46(a902,f295(a111,x68221),f295(a111,x68222)),f295(a111,f46(a1,x68221,x68222)))+~P1(f295(f295(f207(a1),f2(a1)),x68222))+~P1(f295(f295(f207(a1),f2(a1)),x68221)) % 192.26/192.34 [6843]~P87(x68431)+~P1(f295(f295(f207(x68431),f295(f82(x68431),x68432)),f2(x68431)))+P1(f295(f295(f207(x68431),f2(x68431)),x68432)) % 192.26/192.34 [6844]~P87(x68441)+~P1(f295(f295(f208(x68441),f295(f82(x68441),x68442)),f2(x68441)))+P1(f295(f295(f208(x68441),f2(x68441)),x68442)) % 192.26/192.34 [6858]~P1(f295(f295(f208(a1),a86),x68582))+~P1(f295(f295(f208(a1),x68581),x68582))+P1(f295(f295(f208(a902),f295(f110(a902),x68581)),f295(f110(a902),x68582))) % 192.26/192.34 [6945]~P1(f295(f295(f207(a1),f2(a1)),x69451))+P1(f295(f295(f208(a902),f295(a111,x69451)),x69452))+~P1(f295(f295(f208(a1),x69451),f295(f107(a1),x69452))) % 192.26/192.34 [6961]E(x69611,f2(a1))+E(f46(a1,x69612,x69611),f2(a1))+E(f295(f295(f23(a1),f295(f82(a1),f295(f295(f40(a1),x69612),x69611))),f81(a1)),f295(f295(f40(a1),x69612),f295(f82(a1),x69611))) % 192.26/192.34 [6974]~P1(f295(f295(f207(a1),f2(a1)),x69741))+~P1(f295(f295(f208(a902),f295(a111,x69741)),x69742))+P1(f295(f295(f208(a1),x69741),f295(f107(a1),x69742))) % 192.26/192.34 [7010]~P1(f295(f295(f207(a902),f295(a111,x70101)),f295(a111,x70102)))+~P1(f295(f295(f207(a1),f2(a1)),x70102))+P1(f295(f295(f207(a1),x70101),x70102)) % 192.26/192.34 [7011]~P1(f295(f295(f207(a902),f295(a111,x70111)),f295(a111,x70112)))+~P1(f295(f295(f208(a1),f2(a1)),x70111))+P1(f295(f295(f207(a1),x70111),x70112)) % 192.26/192.34 [7039]P1(f295(f295(f207(a1),x70391),x70392))+~P1(f295(f295(f207(a902),f295(f110(a902),x70391)),f295(f110(a902),x70392)))+P1(f295(f295(f207(a1),x70391),a86)) % 192.26/192.34 [7066]P1(f295(f295(f207(a1),f2(a1)),f46(a1,x70661,x70662)))+~P1(f295(f295(f207(a1),f2(a1)),x70662))+~P1(f295(f295(f207(a1),f2(a1)),x70661)) % 192.26/192.34 [7163]P1(f295(f295(f208(a1),a86),x71631))+~P1(f295(f295(f208(a1),x71632),x71631))+~P1(f295(f295(f208(a902),f295(f110(a902),x71632)),f295(f110(a902),x71631))) % 192.26/192.34 [7217]E(f295(f295(f217(a1,a1),f295(f295(f40(a1),x72171),x72172)),f46(a1,x72171,x72172)),f51(x72171,x72172))+~P1(f295(f295(f208(a1),x72171),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x72172)) % 192.26/192.34 [7237]E(f295(f295(f217(a1,a1),f295(f295(f40(a1),x72371),x72372)),f46(a1,x72371,x72372)),f48(x72371,x72372))+~P1(f295(f295(f207(a1),f2(a1)),x72372))+~P1(f295(f295(f207(a1),f2(a1)),x72371)) % 192.26/192.34 [7290]~P106(x72902)+E(x72901,f120(x72902))+E(f295(f131(x72902,x72902,f84(x72902),f295(f130(x72902),x72901)),f295(f159(x72902),x72901)),f295(f64(x72902,f84(x72902)),f295(f160(x72902),x72901))) % 192.26/192.34 [7407]~E(x74071,f2(a902))+E(f295(f131(a902,a902,f83(a902),x74071),x74072),f2(a902))+P1(f295(f295(f297(a902),f674(x74072,x74071)),f295(f160(a902),x74072))) % 192.26/192.34 [7457]~P1(f295(f295(f207(a1),x74571),f2(a1)))+P1(f295(f295(f207(a1),f295(f295(f40(a1),x74571),x74572)),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x74572)) % 192.26/192.34 [7458]~P1(f295(f295(f208(a1),x74582),f2(a1)))+P1(f295(f295(f207(a1),f295(f295(f40(a1),x74581),x74582)),f2(a1)))+~P1(f295(f295(f207(a1),f2(a1)),x74581)) % 192.26/192.34 [7459]~P1(f295(f295(f208(a1),x74592),f2(a1)))+P1(f295(f295(f208(a1),f295(f295(f40(a1),x74591),x74592)),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x74591)) % 192.26/192.34 [7461]~P1(f295(f295(f208(a1),x74611),f2(a1)))+P1(f295(f295(f208(a1),f295(f295(f40(a1),x74611),x74612)),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x74612)) % 192.26/192.34 [7467]P1(f295(f295(f297(f911(x74671,a897)),f381(x74672,x74671)),x74672))+~P1(f295(f62(f911(x74671,a897)),x74672))+P1(f295(f62(x74671),f41(f911(x74671,a897),x74672))) % 192.26/192.34 [7560]P24(x75601,x75601,x75602,f214(f911(x75601,a897)))+~E(f295(f276(x75601,x75601,x75602),f214(f911(x75601,a897))),f214(f911(x75601,a897)))+~P1(f295(f62(x75601),f214(f911(x75601,a897)))) % 192.26/192.34 [7678]~P24(x76781,x76781,x76782,f214(f911(x76781,a897)))+E(f295(f276(x76781,x76781,x76782),f214(f911(x76781,a897))),f214(f911(x76781,a897)))+~P1(f295(f62(x76781),f214(f911(x76781,a897)))) % 192.26/192.34 [7815]E(f295(f295(f40(a1),x78151),x78152),f295(f110(a1),a104))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),x78151),x78152)),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x78151)) % 192.26/192.34 [7874]~P1(f295(f295(f208(a1),x78742),f2(a1)))+~P1(f295(f295(f208(a1),f295(f295(f40(a1),x78741),x78742)),f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x78741)) % 192.26/192.34 [7879]E(f295(f295(f83(a1),x78791),x78792),f46(a1,x78791,x78792))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),x78791),x78792)),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x78791)) % 192.26/192.34 [7882]P1(f295(f295(f208(a1),x78821),f2(a1)))+~P1(f295(f295(f208(a1),f295(f295(f40(a1),x78821),x78822)),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x78822)) % 192.26/192.34 [8584]~P114(x85841)+P12(x85841,x85842)+~P1(f295(f295(f207(x85841),f295(f295(f153(x85841),x85842),f699(x85842,x85841))),f295(f295(f153(x85841),x85842),f700(x85842,x85841)))) % 192.26/192.34 [8585]~P114(x85851)+P12(x85851,x85852)+~P1(f295(f295(f207(x85851),f295(f295(f153(x85851),x85852),f710(x85852,x85851))),f295(f295(f153(x85851),x85852),f717(x85852,x85851)))) % 192.26/192.34 [5849]E(x58491,f2(a1))+~E(f46(a1,x58492,x58491),f2(a1))+E(f295(f295(f40(a1),x58492),f295(f82(a1),x58491)),f295(f82(a1),f295(f295(f40(a1),x58492),x58491))) % 192.26/192.34 [5867]~P40(x58672)+~P40(x58671)+P40(f295(f295(f117(f911(a1,a897)),x58671),x58672)) % 192.26/192.34 [5868]~P40(x58682)+~P40(x58681)+P40(f295(f295(f108(f911(a1,a897)),x58681),x58682)) % 192.26/192.34 [5885]~P72(x58851)+~P104(x58851)+E(f295(f82(x58851),f295(f295(f256(x58851),f81(x58851)),x58852)),f295(f295(f256(x58851),f295(f110(x58851),a104)),x58852)) % 192.26/192.34 [6002]E(x60021,f2(a1))+~E(f46(a1,x60022,x60021),f2(a1))+E(f295(f295(f40(a1),f295(f82(a1),x60022)),x60021),f295(f82(a1),f295(f295(f40(a1),x60022),x60021))) % 192.26/192.34 [6138]~P114(x61381)+P12(x61381,x61382)+P1(f295(f295(f208(a902),f700(x61382,x61381)),f295(f177(f903(x61381)),x61382))) % 192.26/192.34 [6139]~P114(x61391)+P12(x61391,x61392)+P1(f295(f295(f208(a902),f717(x61392,x61391)),f295(f177(f903(x61391)),x61392))) % 192.26/192.34 [6291]~P104(x62911)+~E(f295(f110(x62911),x62912),f2(x62911))+P27(x62911,f295(f110(x62911),f295(f295(f83(a1),x62912),f295(f82(a1),a86)))) % 192.26/192.34 [6292]~P104(x62921)+~E(f295(f110(x62921),x62922),f2(x62921))+P27(x62921,f295(f110(x62921),f295(f295(f83(a1),a86),f295(f82(a1),x62922)))) % 192.26/192.34 [6294]E(f295(a52,f48(f295(f82(a1),x62941),f295(f82(a1),x62942))),f47(x62941,x62942))+P1(f295(f295(f207(a1),f2(a1)),x62941))+P1(f295(f295(f208(a1),f2(a1)),x62942)) % 192.26/192.34 [6414]~E(x64142,f2(a902))+~E(x64141,f2(a902))+P1(f295(f295(f207(a1),f295(f107(a1),x64141)),f295(f82(a1),f295(f107(a1),x64142)))) % 192.26/192.34 [6445]E(f295(f295(f83(a902),f295(f110(a902),x64451)),f295(f110(a902),x64452)),f295(f110(a902),f295(f295(f83(a1),x64451),x64452)))+P1(f295(f295(f208(a1),x64451),a86))+P1(f295(f295(f208(a1),x64452),a86)) % 192.26/192.34 [6577]~P84(x65771)+~P1(f295(f295(f207(x65771),f2(x65771)),x65772))+P1(f295(f295(f207(x65771),f295(f82(x65771),x65772)),x65772)) % 192.26/192.34 [6578]~P84(x65781)+~P1(f295(f295(f208(x65781),f2(x65781)),x65782))+P1(f295(f295(f208(x65781),f295(f82(x65781),x65782)),x65782)) % 192.26/192.34 [6750]E(f295(f295(f23(a902),f295(a111,x67501)),f295(a111,x67502)),f295(a111,f295(f295(f23(a1),x67501),x67502)))+~P1(f295(f295(f207(a1),f2(a1)),x67502))+~P1(f295(f295(f207(a1),x67502),x67501)) % 192.26/192.34 [6784]E(f295(a111,f46(a1,f295(f110(a1),x67841),f295(f110(a1),x67842))),f46(a902,f295(f110(a902),x67841),f295(f110(a902),x67842)))+P1(f295(a179,f295(f110(a1),x67841)))+P1(f295(a179,f295(f110(a1),x67842))) % 192.26/192.34 [6801]~P84(x68011)+P1(f295(f295(f207(x68011),f2(x68011)),x68012))+~P1(f295(f295(f207(x68011),f295(f82(x68011),x68012)),x68012)) % 192.26/192.34 [6802]~P84(x68021)+P1(f295(f295(f208(x68021),f2(x68021)),x68022))+~P1(f295(f295(f208(x68021),f295(f82(x68021),x68022)),x68022)) % 192.26/192.34 [6813]~P84(x68131)+~P1(f295(f295(f207(x68131),f2(x68131)),x68132))+P1(f295(f295(f207(x68131),f2(x68131)),f295(f295(f83(x68131),x68132),x68132))) % 192.26/192.34 [6816]~P84(x68161)+~P1(f295(f295(f208(x68161),f2(x68161)),x68162))+P1(f295(f295(f208(x68161),f2(x68161)),f295(f295(f83(x68161),x68162),x68162))) % 192.26/192.34 [6826]E(f295(f295(f83(a902),f295(a111,x68261)),f295(a111,x68262)),f295(a111,f295(f295(f83(a1),x68261),x68262)))+~P1(f295(f295(f207(a1),f2(a1)),x68262))+~P1(f295(f295(f207(a1),f2(a1)),x68261)) % 192.26/192.34 [6838]E(x68381,f2(a902))+P1(f295(f295(f208(a902),f2(a902)),x68382))+~P1(f295(f295(f208(a902),f2(a902)),f295(f295(f218(a902),x68382),x68381))) % 192.26/192.34 [6868]~P104(x68681)+E(f295(f110(x68681),x68682),f2(x68681))+~P27(x68681,f295(f110(x68681),f295(f295(f83(a1),a86),f295(f82(a1),x68682)))) % 192.26/192.34 [6869]~P104(x68691)+E(f295(f110(x68691),x68692),f2(x68691))+~P27(x68691,f295(f110(x68691),f295(f295(f83(a1),x68692),f295(f82(a1),a86)))) % 192.26/192.34 [6923]~P1(f295(f62(x69231),x69232))+~P1(f295(f62(x69231),f214(f911(x69231,a897))))+P1(f295(f62(x69231),f295(f82(f911(x69231,a897)),x69232))) % 192.26/192.34 [6946]~P1(f295(f295(f208(a1),f2(a1)),x69462))+~P1(f295(f295(f207(a1),x69462),x69461))+P1(f295(f295(f208(a1),f2(a1)),f295(f295(f40(a1),x69461),x69462))) % 192.26/192.34 [6947]~P1(f295(f295(f207(a1),x69471),f2(a1)))+~P1(f295(f295(f208(a1),x69472),f2(a1)))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f40(a1),x69471),x69472))) % 192.26/192.34 [6982]~P1(f295(f295(f207(a1),f2(a1)),x69822))+~P1(f295(f295(f207(a1),f2(a1)),x69821))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),x69821),x69822))) % 192.26/192.34 [6983]~P1(f295(f295(f207(a1),f2(a1)),x69832))+~P1(f295(f295(f207(a1),f2(a1)),x69831))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f84(a1),x69831),x69832))) % 192.26/192.34 [6984]~P1(f295(f295(f207(a1),f2(a1)),x69842))+~P1(f295(f295(f207(a1),f2(a1)),x69841))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f40(a1),x69841),x69842))) % 192.26/192.34 [6985]~P1(f295(f295(f207(a1),f2(a1)),x69851))+~P1(f295(f295(f208(a1),f2(a1)),x69852))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f40(a1),x69851),x69852))) % 192.26/192.34 [6986]~P1(f295(f295(f208(a902),f2(a902)),x69862))+~P1(f295(f295(f208(a902),f2(a902)),x69861))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f84(a902),x69861),x69862))) % 192.26/192.34 [7051]E(x70511,f2(a1))+E(f46(a1,x70512,x70511),f2(a1))+E(f295(f295(f23(a1),f295(f82(a1),f295(f295(f40(a1),x70512),x70511))),f81(a1)),f295(f295(f40(a1),f295(f82(a1),x70512)),x70511)) % 192.26/192.34 [7107]P1(f295(f295(f208(a902),f2(a902)),x71071))+P1(f295(f295(f208(a902),f2(a902)),x71072))+~P1(f295(f295(f208(a902),f2(a902)),f295(f295(f83(a902),x71072),x71071))) % 192.26/192.34 [7111]~P84(x71111)+P1(f295(f295(f207(x71111),f2(x71111)),x71112))+~P1(f295(f295(f207(x71111),f2(x71111)),f295(f295(f83(x71111),x71112),x71112))) % 192.26/192.34 [7112]~P84(x71121)+P1(f295(f295(f208(x71121),f2(x71121)),x71122))+~P1(f295(f295(f208(x71121),f2(x71121)),f295(f295(f83(x71121),x71122),x71122))) % 192.26/192.34 [7164]~P1(f295(f62(x71641),x71642))+P1(f295(f62(x71641),f214(f911(x71641,a897))))+~P1(f295(f62(x71641),f295(f82(f911(x71641,a897)),x71642))) % 192.26/192.34 [7229]P1(f295(f295(f207(a1),x72291),f2(a1)))+~P1(f295(f295(f208(a1),x72292),f2(a1)))+~P1(f295(f295(f207(a1),f2(a1)),f295(f295(f40(a1),x72291),x72292))) % 192.26/192.34 [7235]~P1(f295(f295(f208(a1),f2(a1)),x72351))+P1(f295(f295(f207(a1),x72351),x72352))+~P1(f295(f295(f208(a1),f2(a1)),f295(f295(f40(a1),x72352),x72351))) % 192.26/192.34 [7236]~P1(f295(f295(f207(a1),f2(a1)),x72362))+P1(f295(f295(f207(a1),x72361),x72362))+~P1(f295(f295(f208(a1),f2(a1)),f295(f295(f40(a1),x72362),x72361))) % 192.26/192.34 [7266]P1(f295(f295(f207(a1),f2(a1)),x72661))+~P1(f295(f295(f208(a1),f2(a1)),x72662))+~P1(f295(f295(f207(a1),f2(a1)),f295(f295(f40(a1),x72661),x72662))) % 192.26/192.34 [7267]P1(f295(f295(f208(a1),f2(a1)),x72671))+~P1(f295(f295(f207(a1),f2(a1)),x72672))+~P1(f295(f295(f208(a1),f2(a1)),f295(f295(f40(a1),x72672),x72671))) % 192.26/192.34 [7709]~P1(f295(f62(x77092),f214(f911(x77092,a897))))+~P1(f295(f62(x77091),f214(f911(x77091,a897))))+P1(f295(f62(f910(x77091,x77092)),f214(f911(f910(x77091,x77092),a897)))) % 192.26/192.34 [7710]~P1(f295(f62(x77102),f214(f911(x77102,a897))))+~P1(f295(f62(x77101),f214(f911(x77101,a897))))+P1(f295(f62(f912(x77101,x77102)),f214(f911(f912(x77101,x77102),a897)))) % 192.26/192.34 [7779]~P1(f295(f295(f208(a902),f295(a119,f2(a902))),x77791))+~P1(f295(f295(f208(a902),f295(a119,f2(a902))),x77792))+P1(f295(f295(f208(a902),x77791),f295(f295(f84(a902),x77792),x77791))) % 192.26/192.34 [7780]~P1(f295(f295(f208(a902),f295(a119,f2(a902))),x77801))+~P1(f295(f295(f208(a902),f295(a119,f2(a902))),x77802))+P1(f295(f295(f208(a902),x77801),f295(f295(f84(a902),x77801),x77802))) % 192.26/192.34 [7814]E(f295(f39(x78141),f214(f911(x78141,a897))),f295(a119,f2(a902)))+P1(f295(f62(x78142),f214(f911(x78142,a897))))+~P1(f295(f62(f911(x78142,x78141)),f214(f911(f911(x78142,x78141),a897)))) % 192.26/192.34 [7942]~P1(f295(f295(f207(a902),f295(a119,f2(a902))),x79421))+~P1(f295(f295(f207(a902),f295(a119,f2(a902))),x79422))+P1(f295(f295(f207(a902),f295(a119,f2(a902))),f295(f295(f84(a902),x79421),x79422))) % 192.26/192.34 [7943]~P1(f295(f295(f208(a902),f295(a119,f2(a902))),x79432))+~P1(f295(f295(f208(a902),f295(a119,f2(a902))),x79431))+P1(f295(f295(f208(a902),f295(a119,f2(a902))),f295(f295(f84(a902),x79431),x79432))) % 192.26/192.34 [8634]E(x86341,f120(x86342))+~P1(f295(f126(x86342),x86341))+E(f164(x86342,f295(f295(f8(a897,a897,x86342),a291),f295(f295(f7(x86342,x86342,a897),a292),f133(x86342,x86341))),x86341),f121(x86342,x86341)) % 192.26/192.34 [8731]~P40(x87312)+~P40(x87311)+E(f295(f276(a902,a1,f107(a1)),f295(f295(f117(f911(a902,a897)),f295(f276(a1,a902,a111),x87311)),f295(f276(a1,a902,a111),x87312))),f295(f295(f117(f911(a1,a897)),x87311),x87312)) % 192.26/192.34 [8732]~P40(x87322)+~P40(x87321)+E(f295(f276(a902,a1,f107(a1)),f295(f295(f108(f911(a902,a897)),f295(f276(a1,a902,a111),x87321)),f295(f276(a1,a902,a111),x87322))),f295(f295(f108(f911(a1,a897)),x87321),x87322)) % 192.26/192.34 [9418]~P104(x94181)+~E(f295(f110(x94181),x94182),f81(x94181))+P27(x94181,f295(f110(x94181),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f82(a1),x94182)))) % 192.26/192.34 [9647]~P104(x96471)+E(f295(f110(x96471),x96472),f81(x96471))+~P27(x96471,f295(f110(x96471),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f82(a1),x96472)))) % 192.26/192.34 [10445]E(x104451,f2(a1))+E(x104452,f2(a1))+E(f295(f229(a1,a1,a1,a1,f36(a1),f295(f84(a1),f85(a1,x104452))),f295(f295(f295(f103(f910(a1,a1)),f295(f295(a292,f85(a1,x104451)),f85(a1,x104452))),f54(x104451,x104452)),f295(f295(f228(a1,a1,f910(a1,a1)),f295(f295(f18(a1,f911(a1,f910(a1,a1)),f911(a1,f910(a1,a1))),f295(f295(f8(f911(a1,f911(f910(a1,a1),f910(a1,a1))),f911(f911(a1,f910(a1,a1)),f911(a1,f910(a1,a1))),a1),f18(a1,f910(a1,a1),f910(a1,a1))),f295(f295(f8(f910(a1,a1),f911(a1,f911(f910(a1,a1),f910(a1,a1))),a1),f295(f7(a1,f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),f295(f295(f8(a897,f911(f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),a1),f103(f910(a1,a1))),f295(f295(f7(a1,a1,a897),a292),f2(a1))))),f295(f295(f7(a1,a1,f910(a1,a1)),f295(f295(f8(a1,f911(a1,f910(a1,a1)),a1),f217(a1,a1)),f82(a1))),f2(a1))))),f295(f295(f7(a1,f911(a1,a1),f911(a1,f910(a1,a1))),f295(f295(f8(f911(a1,f910(a1,a1)),f911(f911(a1,a1),f911(a1,f910(a1,a1))),a1),f8(a1,f910(a1,a1),a1)),f295(f295(f8(a1,f911(a1,f910(a1,a1)),a1),f217(a1,a1)),f295(f295(f7(a1,a1,a1),f295(f295(f8(a1,f911(a1,a1),a1),f23(a1)),f82(a1))),f81(a1))))),f295(f23(a1),f295(f77(a1),x104452))))),f54(x104451,x104452)))),f47(x104451,x104452)) % 192.26/192.34 [10446]E(x104461,f2(a1))+E(x104462,f2(a1))+E(f295(f229(a1,a1,a1,a1,f36(a1),f295(f84(a1),f85(a1,x104462))),f295(f295(f295(f103(f910(a1,a1)),f295(f295(a294,f295(f295(a293,f295(f295(f208(a1),f2(a1)),x104462)),f295(f295(f207(a1),f2(a1)),x104461))),f295(f295(a293,f295(f295(f208(a1),x104462),f2(a1))),f295(f295(f208(a1),x104461),f2(a1))))),f54(x104461,x104462)),f295(f295(f228(a1,a1,f910(a1,a1)),f295(f295(f18(a1,f911(a1,f910(a1,a1)),f911(a1,f910(a1,a1))),f295(f295(f8(f911(a1,f911(f910(a1,a1),f910(a1,a1))),f911(f911(a1,f910(a1,a1)),f911(a1,f910(a1,a1))),a1),f18(a1,f910(a1,a1),f910(a1,a1))),f295(f295(f8(f910(a1,a1),f911(a1,f911(f910(a1,a1),f910(a1,a1))),a1),f295(f7(a1,f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),f295(f295(f8(a897,f911(f910(a1,a1),f911(f910(a1,a1),f910(a1,a1))),a1),f103(f910(a1,a1))),f295(f295(f7(a1,a1,a897),a292),f2(a1))))),f295(f295(f7(a1,a1,f910(a1,a1)),f295(f295(f8(a1,f911(a1,f910(a1,a1)),a1),f217(a1,a1)),f82(a1))),f2(a1))))),f295(f295(f7(a1,f911(a1,a1),f911(a1,f910(a1,a1))),f295(f295(f8(f911(a1,f910(a1,a1)),f911(f911(a1,a1),f911(a1,f910(a1,a1))),a1),f8(a1,f910(a1,a1),a1)),f295(f295(f8(a1,f911(a1,f910(a1,a1)),a1),f217(a1,a1)),f295(f295(f7(a1,a1,a1),f295(f295(f8(a1,f911(a1,a1),a1),f23(a1)),f82(a1))),f81(a1))))),f295(f23(a1),f295(f77(a1),x104462))))),f54(x104461,x104462)))),f47(x104461,x104462)) % 192.26/192.34 [5875]~P119(x58751)+~P104(x58751)+E(f295(f77(x58751),f295(f295(f218(x58751),f295(f110(x58751),a104)),x58752)),f81(x58751)) % 192.26/192.34 [6356]~P145(x63561)+~P1(f295(f295(f208(a1),x63562),f2(a1)))+E(f295(f82(x63561),f295(f107(x63561),f295(a111,f295(f82(a1),x63562)))),f295(f109(x63561),x63562)) % 192.26/192.34 [6560]P1(f295(f295(f207(a106),x65601),f81(a106)))+E(f295(f295(f83(a106),f81(a106)),f243(x65601,f295(f295(f40(a106),x65602),x65601))),f243(x65601,x65602))+P1(f295(f295(f208(a106),x65602),x65601)) % 192.26/192.34 [7152]~P103(x71521)+~P1(f295(f295(f297(x71521),x71522),f116(x71521)))+~E(f295(f295(f83(x71521),f295(f295(f83(x71521),f81(x71521)),x71522)),x71522),f2(x71521)) % 192.26/192.34 [7268]~P1(f295(f295(f207(a1),x72682),f2(a1)))+~P1(f295(f295(f208(a1),x72681),f2(a1)))+E(f295(f216(a1,a1),f295(a52,f48(f295(f82(a1),x72681),f295(f82(a1),x72682)))),f295(f295(f40(a1),x72681),x72682)) % 192.26/192.34 [7285]~P1(f295(f295(f207(a1),x72852),f2(a1)))+~P1(f295(f295(f208(a1),x72851),f2(a1)))+E(f295(f227(a1,a1),f295(a52,f48(f295(f82(a1),x72851),f295(f82(a1),x72852)))),f46(a1,x72851,x72852)) % 192.26/192.34 [7292]~P1(f295(f295(f208(a1),x72922),f2(a1)))+E(f295(f216(a1,a1),f295(a52,f51(f295(f82(a1),x72921),f295(f82(a1),x72922)))),f295(f295(f40(a1),x72921),x72922))+~P1(f295(f295(f208(a1),f2(a1)),x72921)) % 192.26/192.34 [7310]~P1(f295(f295(f208(a1),x73102),f2(a1)))+E(f295(f227(a1,a1),f295(a52,f51(f295(f82(a1),x73101),f295(f82(a1),x73102)))),f46(a1,x73101,x73102))+~P1(f295(f295(f208(a1),f2(a1)),x73101)) % 192.26/192.34 [7363]E(f295(f295(f40(a1),f295(f295(f218(a1),x73631),x73632)),x73631),f295(f295(f218(a1),x73631),f295(f295(f23(a902),x73632),f295(a119,f2(a902)))))+~P1(f295(f295(f208(a902),f2(a902)),x73632))+~P1(f295(f295(f208(a1),f2(a1)),x73631)) % 192.26/192.34 [7464]~P1(f295(f295(f208(a902),f2(a902)),x74641))+~P1(f295(f295(f208(a902),f2(a902)),x74642))+P1(f295(f295(f208(a902),f295(f295(f23(a902),x74641),x74642)),x74641)) % 192.26/192.34 [7465]~P1(f295(f295(f208(a902),f2(a902)),x74651))+~P1(f295(f295(f208(a902),f81(a902)),x74652))+P1(f295(f295(f208(a902),f295(f295(f40(a902),x74651),x74652)),x74651)) % 192.26/192.34 [7466]~P1(f295(f295(f208(a1),f2(a1)),x74661))+~P1(f295(f295(f208(a1),f81(a1)),x74662))+P1(f295(f295(f208(a1),f295(f295(f40(a1),x74661),x74662)),x74661)) % 192.26/192.34 [7606]E(x76061,f2(a902))+~E(x76062,f2(a1))+~P1(f295(f295(f208(a1),f2(a1)),f295(f295(f218(a1),f295(f77(a1),x76062)),x76061))) % 192.26/192.34 [8022]~E(x80222,f120(f903(x80221)))+E(f295(f177(f903(f903(x80221))),f166(x80221,x80222)),f2(a902))+~P12(a902,f295(f157(a902),f295(f295(f143(f903(x80221),a902),f177(f903(x80221))),x80222))) % 192.26/192.34 [8281]P1(f295(x82811,x82812))+~P1(f295(x82811,f295(a114,f739(x82811,x82812))))+~P1(f295(f295(f297(f911(f910(a902,a902),a897)),x82812),a105)) % 192.26/192.34 [8297]E(x82971,f120(f903(x82972)))+E(f295(f177(f903(x82972)),f295(f295(f153(f903(x82972)),x82971),f2(a902))),f295(f177(f903(f903(x82972))),f166(x82972,x82971)))+~P12(a902,f295(f157(a902),f295(f295(f143(f903(x82972),a902),f177(f903(x82972))),x82971))) % 192.26/192.34 [8442]~P37(x84421,x84422)+~P39(x84421,x84422)+P37(x84421,f295(f295(f23(f911(f910(x84421,x84421),a897)),x84422),f273(x84421,f176(f911(f910(x84421,x84421),a897))))) % 192.26/192.34 [9031]~P1(f295(f62(x90311),f295(f212(x90311),x90312)))+~P1(f295(f62(x90311),f214(f911(x90311,a897))))+P1(f295(f62(x90311),f295(f212(x90311),f295(f295(f8(a897,a897,x90311),a291),x90312)))) % 192.26/192.34 [9101]E(f295(f295(f217(a902,a902),f295(a119,f295(f295(f40(a902),f295(f295(f23(a902),x91011),x91012)),x91012))),f46(a902,f295(f295(f23(a902),x91011),x91012),x91012)),f88(f910(a902,a902),f49(x91011,x91012)))+~P1(f295(f295(f208(a902),f2(a902)),x91012))+~P1(f295(f295(f207(a902),x91012),x91011)) % 192.26/192.34 [9382]~P1(f295(f62(x93821),f295(f212(x93821),x93822)))+P1(f295(f62(x93821),f214(f911(x93821,a897))))+~P1(f295(f62(x93821),f295(f212(x93821),f295(f295(f8(a897,a897,x93821),a291),x93822)))) % 192.26/192.34 [10093]P25(x100931,x100932)+~P36(x100931,f295(f216(f911(f910(x100931,x100931),a897),f911(f910(x100931,x100931),a897)),x100932))+~P1(f295(f295(f207(f911(f910(x100931,x100931),a897)),f295(f295(f255(x100931,x100931,x100931),f295(f216(f911(f910(x100931,x100931),a897),f911(f910(x100931,x100931),a897)),x100932)),f295(f227(f911(f910(x100931,x100931),a897),f911(f910(x100931,x100931),a897)),x100932))),f295(f216(f911(f910(x100931,x100931),a897),f911(f910(x100931,x100931),a897)),x100932))) % 192.26/192.34 [7394]~P1(f295(f295(f208(a902),f2(a902)),x73942))+P1(f295(f295(f208(a902),x73941),x73942))+E(f295(a119,f295(f295(f40(a902),f295(f295(f23(a902),x73941),x73942)),x73942)),f295(f295(f40(a902),x73941),x73942)) % 192.26/192.34 [7532]~P1(f295(f295(f208(a902),f2(a902)),x75322))+~P1(f295(f295(f207(a902),x75322),x75321))+E(f295(a119,f295(f295(f40(a902),f295(f295(f23(a902),x75321),x75322)),x75322)),f295(f295(f40(a902),x75321),x75322)) % 192.26/192.34 [8501]~P104(x85011)+~P103(x85011)+~P27(x85011,f295(f110(x85011),f295(f295(f23(a1),f295(f295(f83(a1),x85012),x85012)),a104))) % 192.26/192.34 [9294]E(x92941,f2(a902))+E(f295(f295(f228(a902,a902,f910(a902,a902)),f295(f295(f8(a902,f911(a902,f910(a902,a902)),a902),f217(a902,a902)),a119)),f88(f910(a902,a902),f49(f295(f295(f23(a902),x92942),x92941),x92941))),f88(f910(a902,a902),f49(x92942,x92941)))+P1(f295(f295(f208(a902),x92942),x92941)) % 192.26/192.34 [9467]~P38(x94671,x94672)+~P37(x94671,x94672)+P1(f295(f295(f207(f911(f910(x94671,x94671),a897)),f295(f295(f255(x94671,x94671,x94671),f295(f253(x94671,x94671),x94672)),x94672)),x94672)) % 192.26/192.34 [9709]P1(f295(x97092,f829(x97092,x97091)))+P1(f295(x97091,f829(x97092,x97091)))+E(f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x97091)),f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x97092))) % 192.26/192.34 [9713]~P1(f295(x97132,f829(x97132,x97131)))+~P1(f295(x97131,f829(x97132,x97131)))+E(f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x97131)),f295(f212(a1),f295(f295(f18(a1,a897,a897),f295(f295(f8(a897,f911(a897,a897),a1),a293),f295(f207(a1),f2(a1)))),x97132))) % 192.26/192.34 [7737]~P73(x77371)+~P104(x77371)+E(f295(f295(f256(x77371),x77372),f295(f110(x77371),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))),x77372) % 192.26/192.34 [9417]~P104(x94171)+~E(f295(f110(x94171),x94172),f81(x94171))+P27(x94171,f295(f110(x94171),f295(f295(f83(a1),x94172),f295(f82(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [9592]~P146(x95921)+~E(x95922,f2(x95921))+E(f295(f295(f218(x95921),x95922),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f2(x95921)) % 192.26/192.34 [9593]~P146(x95931)+~E(x95932,f81(x95931))+E(f295(f295(f218(x95931),x95932),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f81(x95931)) % 192.26/192.34 [9606]~P146(x96061)+~E(x96062,f295(f82(x96061),f81(x96061)))+E(f295(f295(f218(x96061),x96062),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f81(x96061)) % 192.26/192.34 [9648]~P104(x96481)+E(f295(f110(x96481),x96482),f81(x96481))+~P27(x96481,f295(f110(x96481),f295(f295(f83(a1),x96482),f295(f82(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.34 [10032]~P119(x100322)+E(x100321,f2(x100322))+P1(f295(f295(f208(x100322),f2(x100322)),f295(f295(f218(x100322),x100321),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.34 [10092]~P119(x100922)+~E(x100921,f2(x100922))+~P1(f295(f295(f208(x100922),f2(x100922)),f295(f295(f218(x100922),x100921),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.34 [10121]P1(f295(f295(f207(a1),x101211),f2(a1)))+P1(f295(f295(f208(a1),x101212),x101211))+E(f295(f45(x101211),f48(x101212,f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101211))),f48(x101212,x101211)) % 192.26/192.34 [10122]~P1(f295(f295(f208(a1),f2(a1)),x101221))+P1(f295(f295(f208(a1),x101222),x101221))+E(f295(f45(x101221),f48(x101222,f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101221))),f48(x101222,x101221)) % 192.26/192.34 [10123]P1(f295(f295(f207(a1),x101231),f2(a1)))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),x101232),x101231)))+E(f295(f45(x101231),f51(x101232,f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101231))),f51(x101232,x101231)) % 192.26/192.34 [10124]~P1(f295(f295(f208(a1),f2(a1)),x101241))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),x101242),x101241)))+E(f295(f45(x101241),f51(x101242,f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101241))),f51(x101242,x101241)) % 192.26/192.34 [10125]~P118(x101251)+~P1(f295(f295(f207(a1),f2(a1)),x101252))+E(f295(f107(x101251),f295(a111,f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x101252))),f295(f295(f83(x101251),f295(f107(x101251),f295(a111,x101252))),f295(f107(x101251),f295(a111,x101252)))) % 192.26/192.34 [5213]~P152(x52131,x52133,x52132)+~E(x52133,f2(a1))+P1(f295(x52131,x52132)) % 192.26/192.34 [5222]~P3(x52223)+~P3(x52222)+P3(f30(x52221,x52222,x52223)) % 192.26/192.34 [5338]~P114(x53381)+~P12(x53381,x53383)+P12(x53381,f158(x53381,x53382,x53383)) % 192.26/192.34 [5339]~P114(x53391)+~P12(x53391,x53393)+P12(x53391,f164(x53391,x53392,x53393)) % 192.26/192.34 [4907]~P76(x49072)+~E(x49073,f295(f82(x49072),x49071))+E(x49071,f295(f82(x49072),x49073)) % 192.26/192.34 [4909]~P76(x49091)+~E(f295(f82(x49091),x49093),x49092)+E(f295(f82(x49091),x49092),x49093) % 192.26/192.34 [4987]~P102(x49873)+E(x49871,x49872)+~E(f295(f82(x49873),x49871),f295(f82(x49873),x49872)) % 192.26/192.34 [4988]~P76(x49883)+E(x49881,x49882)+~E(f295(f82(x49883),x49881),f295(f82(x49883),x49882)) % 192.26/192.34 [4989]~P114(x49893)+E(x49891,x49892)+~E(f295(f249(x49893),x49891),f295(f249(x49893),x49892)) % 192.26/192.34 [4990]~P111(x49903)+E(x49901,x49902)+~E(f295(f107(x49903),x49901),f295(f107(x49903),x49902)) % 192.26/192.34 [4991]~P114(x49913)+E(x49911,x49912)+~E(f295(f270(x49913),x49911),f295(f270(x49913),x49912)) % 192.26/192.34 [4992]~P114(x49923)+E(x49921,x49922)+~E(f295(f250(x49923),x49921),f295(f250(x49923),x49922)) % 192.26/192.34 [4993]~P103(x49933)+E(x49931,x49932)+~E(f295(f109(x49933),x49931),f295(f109(x49933),x49932)) % 192.26/192.34 [4994]~P114(x49943)+E(x49941,x49942)+~E(f295(f267(x49943),x49941),f295(f267(x49943),x49942)) % 192.26/192.34 [5094]~P71(x50941)+~P1(f295(x50942,x50943))+P1(f295(f57(x50941),x50942)) % 192.26/192.34 [5130]~P71(x51303)+P1(f295(x51301,x51302))+~P1(f295(f58(x51303),x51301)) % 192.26/192.34 [5235]~P153(x52351,x52352,x52353)+~E(x52352,f2(a1))+P1(f295(x52351,f2(a1))) % 192.26/192.34 [5273]~E(x52731,f2(a902))+E(f412(x52731,x52732,x52733),f176(f911(x52733,a897)))+~E(f295(f39(x52733),x52732),f295(a119,x52731)) % 192.26/192.34 [5418]~E(x54182,f2(a902))+E(f295(f216(a902,a902),x54181),f2(a902))+~P1(f295(f49(x54183,x54182),x54181)) % 192.26/192.34 [5460]P1(f295(x54601,x54602))+~E(x54603,f295(f107(a1),x54602))+~P1(f295(x54601,f295(a111,x54603))) % 192.26/192.34 [5938]~E(x59383,f2(a902))+~P1(f295(x59381,x59382))+P1(f295(x59381,f46(a902,x59382,x59383))) % 192.26/192.34 [6339]~E(x63393,f2(a902))+P1(f295(x63391,x63392))+~P1(f295(x63391,f46(a902,x63392,x63393))) % 192.26/192.34 [7009]E(x70091,f2(a902))+~P1(f295(x70092,f544(x70091,x70093,x70092)))+P1(f295(x70092,f46(a902,x70093,x70091))) % 192.26/192.34 [7117]~P6(x71171)+~P1(f295(f295(f207(x71171),x71172),f851(x71173,x71172,x71171)))+P1(f295(f295(f207(x71171),x71172),f42(x71171,x71173))) % 192.26/192.34 [7118]~P6(x71181)+~P1(f295(f295(f207(x71181),x71182),f879(x71182,x71183,x71181)))+P1(f295(f295(f207(x71181),x71182),f42(x71181,x71183))) % 192.26/192.34 [7120]~P1(f295(x71201,x71202))+~P1(f295(x71201,f544(x71203,x71202,x71201)))+P1(f295(x71201,f46(a902,x71202,x71203))) % 192.26/192.34 [7223]E(x72231,f120(x72232))+E(f295(f295(f140(x72232),f679(x72233,x72231,x72232)),f684(x72233,x72231,x72232)),x72231)+~P1(f295(f295(f297(f903(x72232)),x72231),f150(x72232,x72233))) % 192.26/192.34 [7254]~P145(x72541)+~P1(f295(f295(f297(x72541),x72542),f116(x72541)))+P1(f295(f295(f297(x72541),f295(f295(f218(x72541),x72542),x72543)),f116(x72541))) % 192.26/192.34 [7578]P36(x75781,x75782)+~P1(f295(f295(f297(x75781),x75783),f779(x75782,x75781)))+P1(f295(f295(f297(x75781),f828(x75782,x75781,x75783)),f779(x75782,x75781))) % 192.26/192.34 [7843]E(x78431,f120(x78432))+~P1(f295(f295(f297(f903(x78432)),x78431),f150(x78432,x78433)))+P1(f295(f295(f297(f903(x78432)),f684(x78433,x78431,x78432)),f150(x78432,x78433))) % 192.26/192.34 [7895]E(x78951,f2(a902))+E(f295(f295(f83(a902),f295(f295(f84(a902),x78951),f545(x78951,x78952,x78953))),f544(x78951,x78952,x78953)),x78952)+P1(f295(x78953,f46(a902,x78952,x78951))) % 192.26/192.34 [7937]~P1(f295(x79373,x79372))+E(f295(f295(f83(a902),f295(f295(f84(a902),x79371),f545(x79371,x79372,x79373))),f544(x79371,x79372,x79373)),x79372)+P1(f295(x79373,f46(a902,x79372,x79371))) % 192.26/192.34 [8078]P1(f295(f295(f208(a1),x80781),f535(x80782,x80783,x80781)))+P1(f295(f295(x80783,f295(f295(f40(a1),x80782),x80781)),f46(a1,x80782,x80781)))+~P1(f295(f295(f208(a1),x80781),f2(a1))) % 192.26/192.34 [8353]P1(f295(f295(x83532,f295(f295(f40(a1),x83531),x83533)),f46(a1,x83531,x83533)))+~P1(f295(f295(f208(a1),x83533),f2(a1)))+P1(f295(f295(f207(a1),f535(x83531,x83532,x83533)),f2(a1))) % 192.26/192.34 [8536]E(f295(f295(f83(a1),f295(f295(f84(a1),x85361),f540(x85362,x85363,x85361))),f535(x85362,x85363,x85361)),x85362)+P1(f295(f295(x85363,f295(f295(f40(a1),x85362),x85361)),f46(a1,x85362,x85361)))+~P1(f295(f295(f208(a1),x85361),f2(a1))) % 192.26/192.34 [8792]~P1(f295(f295(x87921,f540(x87922,x87921,x87923)),f535(x87922,x87921,x87923)))+P1(f295(f295(x87921,f295(f295(f40(a1),x87922),x87923)),f46(a1,x87922,x87923)))+~P1(f295(f295(f208(a1),x87923),f2(a1))) % 192.26/192.34 [9046]~P114(x90461)+~P12(x90461,x90463)+P12(x90461,f138(x90461,x90461,f5(x90461),x90462,x90463)) % 192.26/192.34 [9541]~P133(x95412)+E(x95411,f2(x95412))+~P1(f295(f295(f207(x95412),f295(f295(f83(x95412),f295(f295(f84(x95412),x95413),x95413)),f295(f295(f84(x95412),x95411),x95411))),f2(x95412))) % 192.26/192.34 [9542]~P133(x95422)+E(x95421,f2(x95422))+~P1(f295(f295(f207(x95422),f295(f295(f83(x95422),f295(f295(f84(x95422),x95421),x95421)),f295(f295(f84(x95422),x95423),x95423))),f2(x95422))) % 192.26/192.34 [10387]~P119(x103871)+~P1(f295(f295(f208(x103871),x103872),f2(x103871)))+P1(f295(f295(f208(x103871),f295(f295(f218(x103871),x103872),f295(a119,f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x103873)))),f2(x103871))) % 192.26/192.34 [10396]~P119(x103962)+E(x103961,f2(x103962))+~P1(f295(f295(f207(x103962),f295(f295(f83(x103962),f295(f295(f218(x103962),x103963),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103962),x103961),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f2(x103962))) % 192.26/192.34 [10397]~P119(x103972)+E(x103971,f2(x103972))+~P1(f295(f295(f207(x103972),f295(f295(f83(x103972),f295(f295(f218(x103972),x103971),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103972),x103973),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f2(x103972))) % 192.26/192.34 [4941]~E(x49412,x49413)+~P67(x49411)+E(f295(f295(f23(x49411),x49412),x49413),f2(x49411)) % 192.26/192.34 [4942]~E(x49422,x49423)+~P76(x49421)+E(f295(f295(f23(x49421),x49422),x49423),f2(x49421)) % 192.26/192.34 [4955]~P150(x49551)+~E(x49553,f2(x49551))+E(f295(f295(f83(x49551),x49552),x49553),x49552) % 192.26/192.34 [4974]~P149(x49741)+~E(x49743,f2(x49741))+E(f295(f295(f84(x49741),x49742),x49743),f2(x49741)) % 192.26/192.34 [4975]~P149(x49751)+~E(x49752,f2(x49751))+E(f295(f295(f84(x49751),x49752),x49753),f2(x49751)) % 192.26/192.34 [4996]~E(x49963,f120(x49961))+~E(x49962,f120(x49961))+E(f295(f295(f122(x49961),x49962),x49963),f120(x49961)) % 192.26/192.34 [5084]~P150(x50842)+E(x50841,f2(x50842))+~E(f295(f295(f83(x50842),x50843),x50841),x50843) % 192.26/192.34 [5085]~P76(x50851)+~E(x50852,f295(f82(x50851),x50853))+E(f295(f295(f83(x50851),x50852),x50853),f2(x50851)) % 192.26/192.34 [5092]E(x50921,f120(x50922))+E(x50923,f2(a902))+~E(f295(f295(f161(x50922),x50923),x50921),f120(x50922)) % 192.26/192.34 [5098]~P67(x50983)+E(x50981,x50982)+~E(f295(f295(f23(x50983),x50981),x50982),f2(x50983)) % 192.26/192.34 [5099]~P76(x50993)+E(x50991,x50992)+~E(f295(f295(f23(x50993),x50991),x50992),f2(x50993)) % 192.26/192.34 [5112]~P146(x51122)+E(x51121,f2(x51122))+~E(f295(f295(f218(x51122),x51121),x51123),f2(x51122)) % 192.26/192.34 [5113]~P100(x51132)+E(x51131,f214(x51132))+~E(f295(f295(f108(x51132),x51133),x51131),f214(x51132)) % 192.26/192.34 [5114]~P100(x51142)+E(x51141,f214(x51142))+~E(f295(f295(f108(x51142),x51141),x51143),f214(x51142)) % 192.26/192.34 [5115]~P101(x51152)+E(x51151,f176(x51152))+~E(f295(f295(f117(x51152),x51153),x51151),f176(x51152)) % 192.26/192.34 [5116]~P101(x51162)+E(x51161,f176(x51162))+~E(f295(f295(f117(x51162),x51161),x51163),f176(x51162)) % 192.26/192.34 [5184]~P76(x51842)+E(x51841,f295(f82(x51842),x51843))+~E(f295(f295(f83(x51842),x51841),x51843),f2(x51842)) % 192.26/192.34 [5185]~P76(x51851)+E(f295(f82(x51851),x51852),x51853)+~E(f295(f295(f83(x51851),x51852),x51853),f2(x51851)) % 192.26/192.34 [5187]~E(x51872,x51873)+~P112(x51871)+P1(f295(f295(f207(x51871),x51872),x51873)) % 192.26/192.34 [5189]~E(x51892,x51893)+~P116(x51891)+P1(f295(f295(f207(x51891),x51892),x51893)) % 192.26/192.34 [5290]~P125(x52901)+~E(x52902,f295(f82(x52901),x52903))+E(f295(f295(f84(x52901),x52902),x52902),f295(f295(f84(x52901),x52903),x52903)) % 192.26/192.34 [5298]~P114(x52981)+~P12(x52981,x52983)+P12(x52981,f295(f295(f161(x52981),x52982),x52983)) % 192.26/192.34 [5299]~P114(x52991)+~P12(x52991,x52993)+P12(x52991,f295(f295(f127(x52991),x52992),x52993)) % 192.26/192.34 [5336]E(x53361,x53362)+E(x53363,f2(a902))+~E(f295(f295(f84(a902),x53363),x53361),f295(f295(f84(a902),x53363),x53362)) % 192.26/192.34 [5337]E(x53371,x53372)+E(x53373,f2(a902))+~E(f295(f295(f84(a902),x53371),x53373),f295(f295(f84(a902),x53372),x53373)) % 192.26/192.34 [5411]~E(x54112,x54113)+~P116(x54111)+E(f269(x54111,x54112,x54113),f295(f295(f275(x54111),x54112),f176(f911(x54111,a897)))) % 192.26/192.34 [5458]~E(x54581,x54582)+~P114(x54583)+~P1(f295(f295(f208(x54583),x54581),x54582)) % 192.26/192.34 [5459]~E(x54591,x54592)+~P116(x54593)+~P1(f295(f295(f208(x54593),x54591),x54592)) % 192.26/192.34 [5476]~P116(x54761)+E(f295(f268(x54761,x54762),x54763),f176(f911(x54761,a897)))+P1(f295(f295(f208(x54761),x54762),x54763)) % 192.26/192.34 [5525]~P116(x55251)+E(f271(x55251,x55252,x55253),f176(f911(x55251,a897)))+P1(f295(f295(f208(x55251),x55252),x55253)) % 192.26/192.34 [5526]~P116(x55261)+E(f269(x55261,x55262,x55263),f176(f911(x55261,a897)))+P1(f295(f295(f207(x55261),x55262),x55263)) % 192.26/192.34 [5527]~P116(x55271)+E(f176(f911(x55271,a897)),f271(x55271,x55272,x55273))+P1(f295(f295(f208(x55271),x55272),x55273)) % 192.26/192.34 [5528]~P116(x55281)+E(f176(f911(x55281,a897)),f269(x55281,x55282,x55283))+P1(f295(f295(f207(x55281),x55282),x55283)) % 192.26/192.34 [5535]~P109(x55351)+~E(f295(f295(f117(x55351),x55352),x55353),x55353)+P1(f295(f295(f207(x55351),x55352),x55353)) % 192.26/192.34 [5536]~P110(x55361)+~E(f295(f295(f108(x55361),x55362),x55363),x55362)+P1(f295(f295(f207(x55361),x55362),x55363)) % 192.26/192.34 [5537]~P114(x55371)+~E(f295(f295(f205(x55371),x55372),x55373),x55372)+P1(f295(f295(f207(x55371),x55372),x55373)) % 192.26/192.34 [5538]~P114(x55381)+~E(f295(f295(f206(x55381),x55382),x55383),x55383)+P1(f295(f295(f207(x55381),x55382),x55383)) % 192.26/192.34 [5556]~P114(x55561)+P12(x55561,x55562)+~P12(x55561,f295(f295(f122(x55561),x55563),x55562)) % 192.26/192.34 [5557]~P114(x55571)+P12(x55571,x55572)+~P12(x55571,f295(f295(f122(x55571),x55572),x55573)) % 192.26/192.34 [5559]~P114(x55591)+P12(x55591,x55592)+~P12(x55591,f295(f295(f140(x55591),x55593),x55592)) % 192.26/192.34 [5624]~P114(x56241)+P1(f295(f295(f207(x56241),x56243),x56242))+P1(f295(f295(f207(x56241),x56242),x56243)) % 192.26/192.34 [5629]~P114(x56291)+P1(f295(f295(f208(x56291),x56293),x56292))+P1(f295(f295(f207(x56291),x56292),x56293)) % 192.26/192.34 [5667]~P109(x56671)+E(f295(f295(f117(x56671),x56672),x56673),x56672)+~P1(f295(f295(f207(x56671),x56673),x56672)) % 192.26/192.34 [5669]~P109(x56691)+E(f295(f295(f117(x56691),x56692),x56693),x56693)+~P1(f295(f295(f207(x56691),x56692),x56693)) % 192.26/192.34 [5670]~P110(x56701)+E(f295(f295(f108(x56701),x56702),x56703),x56703)+~P1(f295(f295(f207(x56701),x56703),x56702)) % 192.26/192.34 [5672]~P110(x56721)+E(f295(f295(f108(x56721),x56722),x56723),x56722)+~P1(f295(f295(f207(x56721),x56722),x56723)) % 192.26/192.34 [5673]~P114(x56731)+E(f295(f295(f205(x56731),x56732),x56733),x56733)+~P1(f295(f295(f207(x56731),x56733),x56732)) % 192.26/192.34 [5675]~P114(x56751)+E(f295(f295(f205(x56751),x56752),x56753),x56752)+~P1(f295(f295(f207(x56751),x56752),x56753)) % 192.26/192.34 [5676]~P114(x56761)+E(f295(f295(f206(x56761),x56762),x56763),x56762)+~P1(f295(f295(f207(x56761),x56763),x56762)) % 192.26/192.34 [5678]~P114(x56781)+E(f295(f295(f206(x56781),x56782),x56783),x56783)+~P1(f295(f295(f207(x56781),x56782),x56783)) % 192.26/192.34 [5685]~P126(x56852)+E(x56851,f2(x56852))+E(f295(f295(f256(x56852),f295(f82(x56852),x56853)),f295(f82(x56852),x56851)),f295(f295(f256(x56852),x56853),x56851)) % 192.26/192.34 [5734]~P116(x57341)+E(f295(f268(x57341,x57342),x57343),f176(f911(x57341,a897)))+~P1(f295(f295(f207(x57341),x57343),x57342)) % 192.26/192.34 [5765]~P116(x57651)+E(f272(x57651,x57652,x57653),f176(f911(x57651,a897)))+~P1(f295(f295(f207(x57651),x57653),x57652)) % 192.26/192.34 [5766]~P116(x57661)+E(f271(x57661,x57662,x57663),f176(f911(x57661,a897)))+~P1(f295(f295(f207(x57661),x57663),x57662)) % 192.26/192.34 [5767]~P116(x57671)+E(f269(x57671,x57672,x57673),f176(f911(x57671,a897)))+~P1(f295(f295(f208(x57671),x57673),x57672)) % 192.26/192.34 [5819]~E(f295(f295(f23(a902),x58191),x58193),x58192)+E(x58191,f295(f295(f83(a902),x58192),x58193))+~P1(f295(f295(f207(a902),x58193),x58191)) % 192.26/192.34 [5820]~E(x58201,f295(f295(f83(a902),x58203),x58202))+E(f295(f295(f23(a902),x58201),x58202),x58203)+~P1(f295(f295(f207(a902),x58202),x58201)) % 192.26/192.34 [5864]~P1(f295(x58641,x58643))+P1(f295(x58641,f460(x58641,x58642)))+~P1(f295(f295(f208(a902),x58643),x58642)) % 192.26/192.34 [5865]~P1(f295(x58651,x58653))+P1(f295(x58651,f480(x58651,x58652)))+~P1(f295(f295(f207(a902),x58653),x58652)) % 192.26/192.34 [5873]~P116(x58731)+~E(f295(f268(x58731,x58732),x58733),f176(f911(x58731,a897)))+~P1(f295(f295(f208(x58731),x58732),x58733)) % 192.26/192.34 [5877]~P112(x58771)+~P1(f295(f295(f208(x58771),x58772),x58773))+P1(f295(f295(f207(x58771),x58772),x58773)) % 192.26/192.34 [5879]~P116(x58791)+~P1(f295(f295(f208(x58791),x58792),x58793))+P1(f295(f295(f207(x58791),x58792),x58793)) % 192.26/192.34 [5988]~P116(x59881)+~E(f271(x59881,x59882,x59883),f176(f911(x59881,a897)))+~P1(f295(f295(f208(x59881),x59882),x59883)) % 192.26/192.34 [5989]~P116(x59891)+~E(f269(x59891,x59892,x59893),f176(f911(x59891,a897)))+~P1(f295(f295(f207(x59891),x59892),x59893)) % 192.26/192.34 [5990]~P116(x59901)+~E(f176(f911(x59901,a897)),f271(x59901,x59902,x59903))+~P1(f295(f295(f208(x59901),x59902),x59903)) % 192.26/192.34 [5991]~P116(x59911)+~E(f176(f911(x59911,a897)),f269(x59911,x59912,x59913))+~P1(f295(f295(f207(x59911),x59912),x59913)) % 192.26/192.34 [6000]P1(f295(x60001,x60002))+~P1(f295(x60001,f464(x60001,x60003)))+~P1(f295(f295(f208(a902),x60002),x60003)) % 192.26/192.34 [6001]P1(f295(x60011,x60012))+~P1(f295(x60011,f481(x60011,x60013)))+~P1(f295(f295(f207(a902),x60012),x60013)) % 192.26/192.34 [6009]~E(x60091,f295(a119,x60093))+P1(f295(f295(f208(a902),x60091),f295(a119,x60092)))+~P1(f295(f295(f208(a902),x60093),x60092)) % 192.26/192.34 [6026]E(x60261,x60262)+~E(f295(f295(f84(a902),x60263),x60261),f295(f295(f84(a902),x60263),x60262))+~P1(f295(f295(f208(a902),f2(a902)),x60263)) % 192.26/192.34 [6081]E(f295(x60811,f418(x60811,x60812,x60813)),f81(a902))+~E(f295(f295(f6(x60813,a902),x60811),x60812),f81(a902))+~P1(f295(f62(x60813),x60812)) % 192.26/192.34 [6096]~P6(x60961)+P1(f295(f295(f207(x60961),x60962),f41(x60961,x60963)))+~P1(f295(f295(f297(x60961),x60962),x60963)) % 192.26/192.34 [6121]~P112(x61211)+~P1(f295(f295(f208(x61211),x61213),x61212))+~P1(f295(f295(f207(x61211),x61212),x61213)) % 192.26/192.34 [6125]~P112(x61251)+~P1(f295(f295(f208(x61251),x61253),x61252))+~P1(f295(f295(f208(x61251),x61252),x61253)) % 192.26/192.34 [6128]~P114(x61281)+~P1(f295(f295(f208(x61281),x61283),x61282))+~P1(f295(f295(f207(x61281),x61282),x61283)) % 192.26/192.34 [6129]~P114(x61291)+~P1(f295(f295(f208(x61291),x61293),x61292))+~P1(f295(f295(f208(x61291),x61292),x61293)) % 192.26/192.34 [6130]~P116(x61301)+~P1(f295(f295(f208(x61301),x61303),x61302))+~P1(f295(f295(f208(x61301),x61302),x61303)) % 192.26/192.34 [6159]~E(f295(x61592,f333(x61592,x61593,x61591)),f2(a902))+E(f295(f295(f6(x61591,a902),x61592),x61593),f2(a902))+~P1(f295(f62(x61591),x61593)) % 192.26/192.34 [6160]~E(f295(x61602,f449(x61602,x61603,x61601)),f81(a902))+E(f295(f295(f9(x61601,a902),x61602),x61603),f81(a902))+~P1(f295(f62(x61601),x61603)) % 192.26/192.34 [6173]~P113(x61731)+~P1(f295(f295(f208(x61731),x61733),x61732))+P1(f295(f295(f297(x61731),x61732),f295(f270(x61731),x61733))) % 192.26/192.34 [6174]~P113(x61741)+~P1(f295(f295(f207(x61741),x61743),x61742))+P1(f295(f295(f297(x61741),x61742),f295(f250(x61741),x61743))) % 192.26/192.34 [6175]~P113(x61751)+~P1(f295(f295(f208(x61751),x61752),x61753))+P1(f295(f295(f297(x61751),x61752),f295(f249(x61751),x61753))) % 192.26/192.34 [6176]~P113(x61761)+~P1(f295(f295(f207(x61761),x61762),x61763))+P1(f295(f295(f297(x61761),x61762),f295(f267(x61761),x61763))) % 192.26/192.34 [6188]E(f295(x61881,f427(x61881,x61882,x61883)),f295(a119,f2(a902)))+~E(f295(f295(f6(x61883,a902),x61881),x61882),f295(a119,f2(a902)))+~P1(f295(f62(x61883),x61882)) % 192.26/192.34 [6270]~P6(x62701)+~P1(f295(f295(f297(x62701),x62703),x62702))+P1(f295(f295(f207(x62701),f42(x62701,x62702)),x62703)) % 192.26/192.34 [6288]~P1(f295(f295(f207(a902),x62881),x62883))+P1(f295(f295(f207(a902),x62881),x62882))+~P1(f295(f295(f207(a902),x62883),x62882)) % 192.26/192.34 [6289]~P1(f295(f295(f207(a1),x62891),x62893))+P1(f295(f295(f207(a1),x62891),x62892))+~P1(f295(f295(f207(a1),x62893),x62892)) % 192.26/192.34 [6306]~P113(x63061)+~P1(f295(f295(f297(x63061),x63063),f295(f250(x63061),x63062)))+P1(f295(f295(f207(x63061),x63062),x63063)) % 192.26/192.34 [6307]~P113(x63071)+~P1(f295(f295(f297(x63071),x63072),f295(f267(x63071),x63073)))+P1(f295(f295(f207(x63071),x63072),x63073)) % 192.26/192.34 [6308]~P113(x63081)+~P1(f295(f295(f297(x63081),x63083),f295(f270(x63081),x63082)))+P1(f295(f295(f208(x63081),x63082),x63083)) % 192.26/192.34 [6309]~P113(x63091)+~P1(f295(f295(f297(x63091),x63092),f295(f249(x63091),x63093)))+P1(f295(f295(f208(x63091),x63092),x63093)) % 192.26/192.34 [6381]~P1(f295(x63811,x63812))+P1(f295(x63811,f327(x63811)))+~P1(f295(f295(f297(x63813),x63812),f214(f911(x63813,a897)))) % 192.26/192.34 [6420]P1(f295(x64201,x64202))+~P1(f295(x64201,f878(x64201)))+~P1(f295(f295(f297(x64203),x64202),f214(f911(x64203,a897)))) % 192.26/192.34 [6524]~P74(x65241)+P1(f295(f295(f208(x65241),f2(x65241)),f534(x65243,x65242,x65241)))+P1(f295(f295(f207(x65241),x65242),x65243)) % 192.26/192.34 [6595]~P87(x65951)+~P1(f295(f295(f207(x65951),x65953),f295(f82(x65951),x65952)))+P1(f295(f295(f207(x65951),x65952),f295(f82(x65951),x65953))) % 192.26/192.34 [6597]~P87(x65971)+~P1(f295(f295(f208(x65971),x65973),f295(f82(x65971),x65972)))+P1(f295(f295(f208(x65971),x65972),f295(f82(x65971),x65973))) % 192.26/192.34 [6609]~P1(f295(f295(f208(a902),x66091),x66093))+~P1(f295(f295(f208(a902),x66093),x66092))+P1(f295(f295(f208(a902),f295(a119,x66091)),x66092)) % 192.26/192.34 [6634]~P131(x66341)+P1(f295(f295(f207(x66341),f295(f107(x66341),x66342)),f295(f107(x66341),x66343)))+~P1(f295(f295(f207(a902),x66342),x66343)) % 192.26/192.34 [6635]~P119(x66351)+P1(f295(f295(f207(x66351),f295(f109(x66351),x66352)),f295(f109(x66351),x66353)))+~P1(f295(f295(f207(a1),x66352),x66353)) % 192.26/192.34 [6637]~P119(x66371)+P1(f295(f295(f208(x66371),f295(f109(x66371),x66372)),f295(f109(x66371),x66373)))+~P1(f295(f295(f208(a1),x66372),x66373)) % 192.26/192.34 [6638]~P131(x66381)+P1(f295(f295(f208(x66381),f295(f107(x66381),x66382)),f295(f107(x66381),x66383)))+~P1(f295(f295(f208(a902),x66382),x66383)) % 192.26/192.34 [6644]~P114(x66441)+E(f295(f295(f117(f911(x66441,a897)),f295(f249(x66441),x66442)),f295(f268(x66441,x66442),x66443)),f295(f249(x66441),x66443))+~P1(f295(f295(f207(x66441),x66442),x66443)) % 192.26/192.34 [6674]~P102(x66741)+~P1(f295(f295(f207(x66741),x66743),x66742))+P1(f295(f295(f207(x66741),f295(f82(x66741),x66742)),f295(f82(x66741),x66743))) % 192.26/192.34 [6676]~P87(x66761)+~P1(f295(f295(f207(x66761),x66763),x66762))+P1(f295(f295(f207(x66761),f295(f82(x66761),x66762)),f295(f82(x66761),x66763))) % 192.26/192.34 [6677]~P87(x66771)+~P1(f295(f295(f208(x66771),x66773),x66772))+P1(f295(f295(f208(x66771),f295(f82(x66771),x66772)),f295(f82(x66771),x66773))) % 192.26/192.34 [6709]~P114(x67091)+E(f295(f295(f117(f911(x67091,a897)),f295(f249(x67091),x67092)),f269(x67091,x67092,x67093)),f295(f267(x67091),x67093))+~P1(f295(f295(f207(x67091),x67092),x67093)) % 192.26/192.34 [6710]~P114(x67101)+E(f295(f295(f117(f911(x67101,a897)),f295(f267(x67101),x67102)),f272(x67101,x67102,x67103)),f295(f249(x67101),x67103))+~P1(f295(f295(f208(x67101),x67102),x67103)) % 192.26/192.34 [6711]~P114(x67111)+E(f295(f295(f117(f911(x67111,a897)),f295(f267(x67111),x67112)),f271(x67111,x67112,x67113)),f295(f267(x67111),x67113))+~P1(f295(f295(f207(x67111),x67112),x67113)) % 192.26/192.34 [6745]~P114(x67451)+E(f295(f295(f117(f911(x67451,a897)),f295(f268(x67451,x67452),x67453)),f295(f250(x67451),x67453)),f295(f250(x67451),x67452))+~P1(f295(f295(f207(x67451),x67452),x67453)) % 192.26/192.34 [6894]~P114(x68941)+E(f295(f295(f117(f911(x68941,a897)),f272(x68941,x68942,x68943)),f295(f250(x68941),x68943)),f295(f270(x68941),x68942))+~P1(f295(f295(f208(x68941),x68942),x68943)) % 192.26/192.34 [6895]~P114(x68951)+E(f295(f295(f117(f911(x68951,a897)),f271(x68951,x68952,x68953)),f295(f270(x68951),x68953)),f295(f270(x68951),x68952))+~P1(f295(f295(f207(x68951),x68952),x68953)) % 192.26/192.34 [6896]~P114(x68961)+E(f295(f295(f117(f911(x68961,a897)),f269(x68961,x68962,x68963)),f295(f270(x68961),x68963)),f295(f250(x68961),x68962))+~P1(f295(f295(f207(x68961),x68962),x68963)) % 192.26/192.34 [6914]P1(f295(x69141,x69142))+~P1(f295(f295(f207(a902),x69142),x69143))+P1(f295(f295(f297(a902),f481(x69141,x69143)),f269(a902,f2(a902),x69143))) % 192.26/192.34 [6948]E(x69481,x69482)+~E(f295(f295(f153(x69483),x69481),f658(x69483,x69482,x69481)),f295(f295(f153(x69483),x69482),f658(x69483,x69482,x69481)))+~E(f295(f177(f903(x69483)),x69481),f295(f177(f903(x69483)),x69482)) % 192.26/192.34 [6953]~E(x69533,f295(f295(f40(a902),x69531),x69532))+~P1(f295(f295(f208(a902),f2(a902)),x69532))+P1(f295(f295(f208(a902),x69531),f295(f295(f84(a902),x69532),f295(a119,x69533)))) % 192.26/192.34 [6969]~P1(f295(x69691,x69693))+~P1(f295(f295(f207(a902),x69693),x69692))+P1(f295(f295(f297(a902),f480(x69691,x69692)),f269(a902,f2(a902),x69692))) % 192.26/192.34 [7007]~P1(f295(x70071,x70073))+P1(f295(x70071,f487(x70071,x70072)))+~P1(f295(f295(f297(a902),x70073),f269(a902,f2(a902),x70072))) % 192.26/192.34 [7025]~P131(x70253)+~P1(f295(f295(f207(x70253),f295(f107(x70253),x70251)),f295(f107(x70253),x70252)))+P1(f295(f295(f207(a902),x70251),x70252)) % 192.26/192.34 [7026]~P119(x70263)+~P1(f295(f295(f207(x70263),f295(f109(x70263),x70261)),f295(f109(x70263),x70262)))+P1(f295(f295(f207(a1),x70261),x70262)) % 192.26/192.34 [7028]~P131(x70283)+~P1(f295(f295(f208(x70283),f295(f107(x70283),x70281)),f295(f107(x70283),x70282)))+P1(f295(f295(f208(a902),x70281),x70282)) % 192.26/192.34 [7029]~P119(x70293)+~P1(f295(f295(f208(x70293),f295(f109(x70293),x70291)),f295(f109(x70293),x70292)))+P1(f295(f295(f208(a1),x70291),x70292)) % 192.26/192.34 [7044]~P131(x70441)+~P1(f295(f295(f208(x70441),f81(x70441)),x70442))+P1(f295(f295(f208(x70441),f81(x70441)),f295(f295(f218(x70441),x70442),f295(a119,x70443)))) % 192.26/192.34 [7047]~P102(x70471)+~P1(f295(f295(f207(x70471),f295(f82(x70471),x70473)),f295(f82(x70471),x70472)))+P1(f295(f295(f207(x70471),x70472),x70473)) % 192.26/192.34 [7048]~P87(x70481)+~P1(f295(f295(f207(x70481),f295(f82(x70481),x70483)),f295(f82(x70481),x70482)))+P1(f295(f295(f207(x70481),x70482),x70483)) % 192.26/192.34 [7049]~P87(x70491)+~P1(f295(f295(f208(x70491),f295(f82(x70491),x70493)),f295(f82(x70491),x70492)))+P1(f295(f295(f208(x70491),x70492),x70493)) % 192.26/192.34 [7075]P1(f295(x70751,x70752))+~P1(f295(x70751,f482(x70751,x70753)))+~P1(f295(f295(f297(a902),x70752),f269(a902,f2(a902),x70753))) % 192.26/192.34 [7095]~P74(x70951)+P1(f295(f295(f208(x70951),f534(x70953,x70952,x70951)),f81(x70951)))+P1(f295(f295(f207(x70951),x70952),x70953)) % 192.26/192.34 [7114]~E(f46(a902,x71143,x71142),f46(a902,x71141,x71142))+E(f295(f295(f83(a902),x71141),f295(f295(f84(a902),x71142),f571(x71141,x71142,x71143))),x71143)+~P1(f295(f295(f207(a902),x71141),x71143)) % 192.26/192.34 [7170]E(f295(f295(f6(x71701,a902),x71702),x71703),f2(a902))+~P1(f295(f62(x71701),x71703))+P1(f295(f295(f297(x71701),f333(x71702,x71703,x71701)),x71703)) % 192.26/192.34 [7171]E(f295(f295(f9(x71711,a902),x71712),x71713),f81(a902))+~P1(f295(f62(x71711),x71713))+P1(f295(f295(f297(x71711),f449(x71712,x71713,x71711)),x71713)) % 192.26/192.34 [7193]~P114(x71931)+~P1(f295(f295(f207(x71931),x71932),x71933))+P1(f295(f295(f207(f911(x71931,a897)),f295(f249(x71931),x71932)),f295(f249(x71931),x71933))) % 192.26/192.34 [7194]~P114(x71941)+~P1(f295(f295(f207(x71941),x71943),x71942))+P1(f295(f295(f207(f911(x71941,a897)),f295(f270(x71941),x71942)),f295(f270(x71941),x71943))) % 192.26/192.34 [7195]~P116(x71951)+~P1(f295(f295(f207(x71951),x71953),x71952))+P1(f295(f295(f207(f911(x71951,a897)),f295(f250(x71951),x71952)),f295(f250(x71951),x71953))) % 192.26/192.34 [7196]~P116(x71961)+~P1(f295(f295(f207(x71961),x71962),x71963))+P1(f295(f295(f207(f911(x71961,a897)),f295(f267(x71961),x71962)),f295(f267(x71961),x71963))) % 192.26/192.34 [7197]~P114(x71971)+~P1(f295(f295(f208(x71971),x71972),x71973))+P1(f295(f295(f208(f911(x71971,a897)),f295(f249(x71971),x71972)),f295(f249(x71971),x71973))) % 192.26/192.34 [7208]~P6(x72081)+P1(f295(f295(f207(x72081),x72082),f42(x72081,x72083)))+P1(f295(f295(f297(x72081),f851(x72083,x72082,x72081)),x72083)) % 192.26/192.34 [7209]~P6(x72091)+P1(f295(f295(f207(x72091),x72092),f42(x72091,x72093)))+P1(f295(f295(f297(x72091),f879(x72092,x72093,x72091)),x72093)) % 192.26/192.34 [7215]~P87(x72151)+P1(f295(f295(f207(x72151),f295(f295(f23(x72151),x72152),x72153)),f2(x72151)))+~P1(f295(f295(f207(x72151),x72152),x72153)) % 192.26/192.34 [7216]~P87(x72161)+P1(f295(f295(f208(x72161),f295(f295(f23(x72161),x72162),x72163)),f2(x72161)))+~P1(f295(f295(f208(x72161),x72162),x72163)) % 192.26/192.34 [7258]P1(f295(x72581,x72582))+P1(f295(f295(f207(a902),f482(x72581,x72583)),x72583))+~P1(f295(f295(f297(a902),x72582),f269(a902,f2(a902),x72583))) % 192.26/192.34 [7299]~E(f295(f295(f6(x72991,a902),x72992),x72993),f81(a902))+~P1(f295(f62(x72991),x72993))+P1(f295(f295(f297(x72991),f418(x72992,x72993,x72991)),x72993)) % 192.26/192.34 [7300]~P1(f295(x73001,x73003))+P1(f295(f295(f207(a902),f487(x73001,x73002)),x73002))+~P1(f295(f295(f297(a902),x73003),f269(a902,f2(a902),x73002))) % 192.26/192.34 [7339]~P6(x73391)+P1(f295(f295(f297(x73391),f881(x73393,x73392,x73391)),x73392))+P1(f295(f295(f207(x73391),f41(x73391,x73392)),x73393)) % 192.26/192.34 [7340]~P6(x73401)+P1(f295(f295(f297(x73401),f893(x73403,x73402,x73401)),x73402))+P1(f295(f295(f207(x73401),f41(x73401,x73402)),x73403)) % 192.26/192.34 [7374]~E(f295(f295(f6(x73741,a902),x73742),x73743),f295(a119,f2(a902)))+~P1(f295(f62(x73741),x73743))+P1(f295(f295(f297(x73741),f427(x73742,x73743,x73741)),x73743)) % 192.26/192.34 [7385]E(x73851,f2(a902))+P1(f295(x73852,f46(a902,x73853,x73851)))+P1(f295(f295(f208(a902),f544(x73851,x73853,x73852)),x73851)) % 192.26/192.34 [7494]~P1(f295(x74941,x74942))+P1(f295(x74941,f46(a902,x74942,x74943)))+P1(f295(f295(f208(a902),f544(x74943,x74942,x74941)),x74943)) % 192.26/192.34 [7610]E(x76101,f120(x76102))+~P1(f295(f295(f297(f903(x76102)),x76101),f150(x76102,x76103)))+P1(f295(f295(f297(x76102),f679(x76103,x76101,x76102)),x76103)) % 192.26/192.34 [7635]~P114(x76351)+E(f295(f295(f117(f911(x76351,a897)),f295(f295(f275(x76351),x76352),f176(f911(x76351,a897)))),f272(x76351,x76352,x76353)),f295(f268(x76351,x76352),x76353))+~P1(f295(f295(f208(x76351),x76352),x76353)) % 192.26/192.34 [7654]~P114(x76541)+E(f295(f295(f117(f911(x76541,a897)),f295(f295(f275(x76541),x76542),f176(f911(x76541,a897)))),f271(x76541,x76542,x76543)),f269(x76541,x76542,x76543))+~P1(f295(f295(f207(x76541),x76542),x76543)) % 192.26/192.34 [7759]~P114(x77591)+P1(f295(f295(f207(x77591),x77592),x77593))+~P1(f295(f295(f207(f911(x77591,a897)),f295(f270(x77591),x77593)),f295(f270(x77591),x77592))) % 192.26/192.34 [7760]~P116(x77601)+P1(f295(f295(f207(x77601),x77602),x77603))+~P1(f295(f295(f207(f911(x77601,a897)),f295(f250(x77601),x77603)),f295(f250(x77601),x77602))) % 192.26/192.34 [7761]~P114(x77611)+P1(f295(f295(f207(x77611),x77612),x77613))+~P1(f295(f295(f207(f911(x77611,a897)),f295(f249(x77611),x77612)),f295(f249(x77611),x77613))) % 192.26/192.34 [7762]~P116(x77621)+P1(f295(f295(f207(x77621),x77622),x77623))+~P1(f295(f295(f207(f911(x77621,a897)),f295(f267(x77621),x77622)),f295(f267(x77621),x77623))) % 192.26/192.34 [7763]~P114(x77631)+P1(f295(f295(f208(x77631),x77632),x77633))+~P1(f295(f295(f208(f911(x77631,a897)),f295(f249(x77631),x77632)),f295(f249(x77631),x77633))) % 192.26/192.34 [7787]~P87(x77871)+~P1(f295(f295(f207(x77871),f295(f295(f23(x77871),x77872),x77873)),f2(x77871)))+P1(f295(f295(f207(x77871),x77872),x77873)) % 192.26/192.34 [7788]~P87(x77881)+~P1(f295(f295(f208(x77881),f295(f295(f23(x77881),x77882),x77883)),f2(x77881)))+P1(f295(f295(f208(x77881),x77882),x77883)) % 192.26/192.34 [7945]E(x79451,f2(a902))+~E(f295(f131(a902,a902,f83(a902),x79452),x79453),f2(a902))+~P1(f295(f295(f297(a902),x79451),f295(f160(a902),x79453))) % 192.26/192.34 [7949]~P6(x79491)+~P1(f295(f295(f207(x79491),f881(x79493,x79492,x79491)),x79493))+P1(f295(f295(f207(x79491),f41(x79491,x79492)),x79493)) % 192.26/192.34 [7950]~P6(x79501)+~P1(f295(f295(f207(x79501),f893(x79503,x79502,x79501)),x79503))+P1(f295(f295(f207(x79501),f41(x79501,x79502)),x79503)) % 192.26/192.34 [8104]P1(f295(f295(f207(a1),f2(a1)),f536(x81041,x81042,x81043)))+P1(f295(f295(x81042,f295(f295(f40(a1),x81041),x81043)),f46(a1,x81041,x81043)))+~P1(f295(f295(f208(a1),f2(a1)),x81043)) % 192.26/192.34 [8203]E(x82031,x82032)+~E(f295(f177(f903(x82033)),x82031),f295(f177(f903(x82033)),x82032))+~P1(f295(f295(f228(x82033,x82033,a897),a292),f672(x82033,x82031,x82032))) % 192.26/192.34 [8272]~P36(x82722,x82723)+E(x82721,f176(f911(x82722,a897)))+~P1(f295(f295(f207(f911(x82722,a897)),x82721),f295(f252(x82722,x82722,x82723),x82721))) % 192.26/192.34 [8335]P58(x83351,x83352,x83353)+P1(f295(f295(f297(x83351),f612(x83353,x83352,x83351)),x83352))+P1(f295(f295(f297(f910(x83351,x83351)),f613(x83353,x83352,x83351)),x83353)) % 192.26/192.34 [8356]P1(f295(f295(x83562,f295(f295(f40(a1),x83561),x83563)),f46(a1,x83561,x83563)))+~P1(f295(f295(f208(a1),f2(a1)),x83563))+P1(f295(f295(f208(a1),f536(x83561,x83562,x83563)),x83563)) % 192.26/192.34 [8381]E(f295(f276(a902,a902,f295(f295(f7(a902,a902,a902),f23(a902)),x83811)),f295(f268(a902,x83812),x83813)),f176(f911(a902,a897)))+P1(f295(f295(f208(a902),x83811),x83813))+P1(f295(f295(f208(a902),x83812),x83813)) % 192.26/192.34 [8490]E(f295(f276(a902,a902,f295(f295(f7(a902,a902,a902),f23(a902)),x84901)),f295(f268(a902,x84902),x84903)),f295(f295(f275(a902),f2(a902)),f176(f911(a902,a897))))+P1(f295(f295(f208(a902),x84901),x84903))+~P1(f295(f295(f208(a902),x84902),x84903)) % 192.26/192.34 [8504]~P114(x85041)+E(f138(x85041,x85041,f5(x85041),x85042,x85043),x85043)+~P1(f295(f295(f297(x85041),x85042),f295(f160(x85041),x85043))) % 192.26/192.34 [8517]P24(x85171,x85171,x85172,x85173)+~P1(f295(f62(x85171),x85173))+~P1(f295(f295(f207(f911(x85171,a897)),x85173),f295(f276(x85171,x85171,x85172),x85173))) % 192.26/192.34 [8542]E(f295(f295(f83(a1),f295(f295(f84(a1),x85421),f537(x85422,x85423,x85421))),f536(x85422,x85423,x85421)),x85422)+P1(f295(f295(x85423,f295(f295(f40(a1),x85422),x85421)),f46(a1,x85422,x85421)))+~P1(f295(f295(f208(a1),f2(a1)),x85421)) % 192.26/192.34 [8799]~P1(f295(f295(x87991,f537(x87992,x87991,x87993)),f536(x87992,x87991,x87993)))+P1(f295(f295(x87991,f295(f295(f40(a1),x87992),x87993)),f46(a1,x87992,x87993)))+~P1(f295(f295(f208(a1),f2(a1)),x87993)) % 192.26/192.34 [9673]~P1(f295(f62(x96731),x96732))+~P1(f295(f295(f297(x96731),x96733),x96732))+P1(f295(f295(f208(a902),f295(f39(x96731),f295(f295(f23(f911(x96731,a897)),x96732),f295(f295(f275(x96731),x96733),f176(f911(x96731,a897)))))),f295(f39(x96731),x96732))) % 192.26/192.34 [10327]P58(x103271,x103272,x103273)+~P1(f295(f295(f228(x103271,x103271,a897),f295(f295(f7(x103271,f911(x103271,a897),f911(x103271,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x103271,a897),f911(x103271,a897)),x103271),f8(a897,a897,x103271)),f295(f295(f8(a897,f911(a897,a897),x103271),a293),f295(f295(f7(x103271,f911(x103271,a897),a897),f297(x103271)),x103272)))),f295(f295(f7(x103271,f911(x103271,a897),a897),f297(x103271)),x103272))),f613(x103273,x103272,x103271)))+P1(f295(f295(f297(x103271),f612(x103273,x103272,x103271)),x103272)) % 192.26/192.34 [5646]~P126(x56462)+E(x56461,f2(x56462))+E(f295(f295(f256(x56462),x56463),f295(f82(x56462),x56461)),f295(f82(x56462),f295(f295(f256(x56462),x56463),x56461))) % 192.26/192.34 [5781]~E(x57813,f176(f911(x57811,a897)))+~E(x57812,f176(f911(x57811,a897)))+E(f295(f295(f117(f911(x57811,a897)),x57812),x57813),f176(f911(x57811,a897))) % 192.26/192.34 [5838]~E(x58383,f2(a902))+~P1(f295(x58381,f2(a902)))+P1(f295(x58381,f295(f295(f40(a902),x58382),x58383))) % 192.26/192.34 [5980]~P75(x59802)+E(x59801,f2(x59802))+E(f295(f295(f256(x59802),f295(f77(x59802),x59803)),f295(f77(x59802),x59801)),f295(f77(x59802),f295(f295(f256(x59802),x59803),x59801))) % 192.26/192.34 [6148]~P1(f295(f62(x61481),x61483))+E(f295(f39(x61481),f295(f295(f275(x61481),x61482),x61483)),f295(a119,f295(f39(x61481),x61483)))+P1(f295(f295(f297(x61481),x61482),x61483)) % 192.26/192.34 [6218]~E(x62182,f2(a902))+P1(f295(x62181,f2(a902)))+~P1(f295(x62181,f295(f295(f40(a902),x62183),x62182))) % 192.26/192.34 [6236]~P1(f295(f62(x62361),x62363))+E(f295(f39(x62361),f295(f295(f275(x62361),x62362),x62363)),f295(f39(x62361),x62363))+~P1(f295(f295(f297(x62361),x62362),x62363)) % 192.26/192.34 [6272]~P1(f295(f62(x62721),x62723))+E(f295(f39(x62721),f295(f295(f275(x62721),x62722),x62723)),f295(f295(f83(a902),f81(a902)),f295(f39(x62721),x62723)))+P1(f295(f295(f297(x62721),x62722),x62723)) % 192.26/192.34 [6382]E(f295(f295(f83(a902),x63821),f408(x63821,x63822,x63823)),x63822)+~P1(f295(x63823,f2(a902)))+P1(f295(x63823,f295(f295(f23(a902),x63822),x63821))) % 192.26/192.34 [6383]E(f295(f295(f83(a902),x63831),f409(x63831,x63832,x63833)),x63832)+~P1(f295(x63833,f2(a902)))+P1(f295(x63833,f295(f295(f23(a902),x63832),x63831))) % 192.26/192.34 [6430]~P6(x64301)+~P1(f295(f62(x64301),x64303))+E(f295(f295(f65(x64301,x64301,f117(x64301)),x64302),x64303),f295(f295(f117(x64301),x64302),f41(x64301,x64303))) % 192.26/192.34 [6431]~P6(x64311)+~P1(f295(f62(x64311),x64313))+E(f295(f295(f65(x64311,x64311,f108(x64311)),x64312),x64313),f295(f295(f108(x64311),x64312),f42(x64311,x64313))) % 192.26/192.34 [6437]~P104(x64371)+~E(f295(f110(x64371),x64372),f295(f110(x64371),x64373))+P27(x64371,f295(f110(x64371),f295(f295(f83(a1),x64372),f295(f82(a1),x64373)))) % 192.26/192.34 [6447]~P145(x64471)+E(f295(f295(f23(x64471),f295(f107(x64471),x64472)),f295(f107(x64471),x64473)),f295(f107(x64471),f295(f295(f23(a902),x64472),x64473)))+~P1(f295(f295(f207(a902),x64473),x64472)) % 192.26/192.34 [6534]E(f295(f295(f83(a902),x65341),f408(x65341,x65342,x65343)),x65342)+P1(f295(f295(f208(a902),x65342),x65341))+P1(f295(x65343,f295(f295(f23(a902),x65342),x65341))) % 192.26/192.34 [6535]E(f295(f295(f83(a902),x65351),f409(x65351,x65352,x65353)),x65352)+P1(f295(f295(f208(a902),x65352),x65351))+P1(f295(x65353,f295(f295(f23(a902),x65352),x65351))) % 192.26/192.34 [6551]~P119(x65511)+E(f295(f295(f84(x65511),f295(f77(x65511),x65512)),x65513),f295(f77(x65511),f295(f295(f84(x65511),x65512),x65513)))+~P1(f295(f295(f207(x65511),f2(x65511)),x65513)) % 192.26/192.34 [6552]~P74(x65521)+E(f295(f295(f256(x65521),f295(f77(x65521),x65522)),x65523),f295(f77(x65521),f295(f295(f256(x65521),x65522),x65523)))+~P1(f295(f295(f208(x65521),f2(x65521)),x65523)) % 192.26/192.34 [6553]~P145(x65531)+~P129(x65531)+E(f295(f295(f256(x65531),f295(f109(x65531),f295(f196(x65532),x65533))),f295(f109(x65531),f295(f189(x65532),x65533))),f202(x65532,x65531,x65533)) % 192.26/192.34 [6561]~P99(x65611)+~P1(f295(f62(x65611),x65613))+E(f295(f295(f65(x65611,x65611,f117(x65611)),x65612),x65613),f10(x65611,f295(f295(f275(x65611),x65612),x65613))) % 192.26/192.34 [6562]~P99(x65621)+~P1(f295(f62(x65621),x65623))+E(f295(f295(f65(x65621,x65621,f108(x65621)),x65622),x65623),f11(x65621,f295(f295(f275(x65621),x65622),x65623))) % 192.26/192.34 [6563]~P114(x65631)+~P1(f295(f62(x65631),x65633))+E(f295(f295(f65(x65631,x65631,f205(x65631)),x65632),x65633),f14(x65631,f295(f295(f275(x65631),x65632),x65633))) % 192.26/192.34 [6564]~P114(x65641)+~P1(f295(f62(x65641),x65643))+E(f295(f295(f65(x65641,x65641,f206(x65641)),x65642),x65643),f15(x65641,f295(f295(f275(x65641),x65642),x65643))) % 192.26/192.34 [6611]E(x66111,f120(x66112))+~E(f166(x66112,x66113),f120(f903(x66112)))+~P1(f295(f295(f297(f903(x66112)),x66111),f295(f160(f903(x66112)),x66113))) % 192.26/192.34 [6652]~P1(f295(f126(x66521),x66523))+P1(f295(f295(f297(x66521),x66522),f295(f160(x66521),x66523)))+P1(f295(f126(x66521),f295(f295(f140(x66521),x66522),x66523))) % 192.26/192.34 [6663]~P106(x66631)+~P1(f295(f62(x66631),x66633))+E(f295(f64(x66631,f84(x66631)),f295(f295(f275(x66631),x66632),x66633)),f295(f295(f65(x66631,x66631,f84(x66631)),x66632),x66633)) % 192.26/192.34 [6685]~P114(x66851)+~P1(f295(f62(x66851),x66853))+E(f12(x66851,f205(x66851),f295(f295(f275(x66851),x66852),x66853)),f295(f295(f65(x66851,x66851,f205(x66851)),x66852),x66853)) % 192.26/192.34 [6686]~P114(x66861)+~P1(f295(f62(x66861),x66863))+E(f13(x66861,f206(x66861),f295(f295(f275(x66861),x66862),x66863)),f295(f295(f65(x66861,x66861,f206(x66861)),x66862),x66863)) % 192.26/192.34 [6689]P1(f295(x66891,f2(a902)))+~P1(f295(f295(f208(a902),x66892),x66893))+~P1(f295(x66891,f295(f295(f23(a902),x66892),x66893))) % 192.26/192.34 [6707]~P93(x67071)+P1(f295(f295(f207(x67071),x67072),x67073))+~P1(f295(f295(f207(x67071),f295(f77(x67071),x67072)),x67073)) % 192.26/192.34 [6708]~P119(x67081)+P1(f295(f295(f208(x67081),x67082),x67083))+~P1(f295(f295(f208(x67081),f295(f77(x67081),x67082)),x67083)) % 192.26/192.34 [6725]E(x67251,f120(x67252))+E(f295(f130(x67252),f295(f295(f127(x67252),x67253),x67251)),f295(f295(f153(x67252),x67251),x67253))+~P1(f295(f295(f208(a902),x67253),f295(f177(f903(x67252)),x67251))) % 192.26/192.34 [6776]~P1(f295(x67761,x67763))+P1(f295(x67761,f465(x67761,x67762)))+~P1(f295(f295(f297(a902),x67763),f295(f268(a902,f2(a902)),x67762))) % 192.26/192.34 [6798]P1(f295(x67981,x67982))+~P1(f295(f295(f208(a902),x67982),x67983))+P1(f295(f295(f297(a902),f464(x67981,x67983)),f295(f268(a902,f2(a902)),x67983))) % 192.26/192.34 [6814]~P131(x68141)+~P1(f295(f295(f207(x68141),f2(x68141)),x68142))+P1(f295(f295(f207(x68141),f2(x68141)),f295(f295(f218(x68141),x68142),x68143))) % 192.26/192.34 [6815]~P131(x68151)+~P1(f295(f295(f207(x68151),f81(x68151)),x68152))+P1(f295(f295(f207(x68151),f81(x68151)),f295(f295(f218(x68151),x68152),x68153))) % 192.26/192.34 [6817]~P131(x68171)+~P1(f295(f295(f208(x68171),f2(x68171)),x68172))+P1(f295(f295(f208(x68171),f2(x68171)),f295(f295(f218(x68171),x68172),x68173))) % 192.26/192.34 [6840]~P1(f295(x68401,x68403))+~P1(f295(f295(f208(a902),x68403),x68402))+P1(f295(f295(f297(a902),f460(x68401,x68402)),f295(f268(a902,f2(a902)),x68402))) % 192.26/192.34 [6847]P1(f295(f62(x68471),x68472))+~P1(f295(f62(x68471),x68473))+~P1(f295(f295(f207(f911(x68471,a897)),x68472),x68473)) % 192.26/192.34 [6854]P1(f295(x68541,x68542))+~P1(f295(x68541,f466(x68541,x68543)))+~P1(f295(f295(f297(a902),x68542),f295(f268(a902,f2(a902)),x68543))) % 192.26/192.34 [6865]E(x68651,f2(a902))+P1(f295(x68652,f467(x68651,x68653,x68652)))+~P1(f295(x68652,f295(f295(f40(a902),x68653),x68651))) % 192.26/192.34 [6872]~P133(x68722)+E(x68721,f2(x68722))+~E(f295(f295(f83(x68722),f295(f295(f84(x68722),x68723),x68723)),f295(f295(f84(x68722),x68721),x68721)),f2(x68722)) % 192.26/192.34 [6873]~P133(x68732)+E(x68731,f2(x68732))+~E(f295(f295(f83(x68732),f295(f295(f84(x68732),x68731),x68731)),f295(f295(f84(x68732),x68733),x68733)),f2(x68732)) % 192.26/192.34 [6915]E(x69151,f2(a902))+~P1(f295(x69152,f468(x69151,x69153,x69152)))+P1(f295(x69152,f295(f295(f40(a902),x69153),x69151))) % 192.26/192.34 [6920]~P114(x69201)+~P12(x69201,x69203)+P12(x69201,f295(f295(f137(x69201,x69201,f5(x69201)),x69202),x69203)) % 192.26/192.34 [6962]P1(f295(x69621,f467(x69622,x69623,x69621)))+P1(f295(x69621,f2(a902)))+~P1(f295(x69621,f295(f295(f40(a902),x69623),x69622))) % 192.26/192.34 [6968]~P104(x69681)+E(f295(f110(x69681),x69682),f295(f110(x69681),x69683))+~P27(x69681,f295(f110(x69681),f295(f295(f83(a1),x69682),f295(f82(a1),x69683)))) % 192.26/192.34 [7032]E(x70321,f2(a1))+E(x70322,f2(a1))+~P1(f295(f50(x70322,x70322),f295(f295(f217(a1,a1),x70323),x70321))) % 192.26/192.34 [7033]E(x70331,f81(a1))+E(x70332,f2(a1))+~P1(f295(f50(x70332,x70332),f295(f295(f217(a1,a1),x70331),x70333))) % 192.26/192.34 [7045]P1(f295(x70451,x70452))+P1(f295(f295(f208(a902),f466(x70451,x70453)),x70453))+~P1(f295(f295(f297(a902),x70452),f295(f268(a902,f2(a902)),x70453))) % 192.26/192.34 [7071]~P1(f295(x70711,f408(x70713,x70712,x70711)))+~P1(f295(x70711,f2(a902)))+P1(f295(x70711,f295(f295(f23(a902),x70712),x70713))) % 192.26/192.34 [7072]~P1(f295(x70721,f409(x70723,x70722,x70721)))+~P1(f295(x70721,f2(a902)))+P1(f295(x70721,f295(f295(f23(a902),x70722),x70723))) % 192.26/192.34 [7073]~P1(f295(x70731,f468(x70733,x70732,x70731)))+~P1(f295(x70731,f2(a902)))+P1(f295(x70731,f295(f295(f40(a902),x70732),x70733))) % 192.26/192.34 [7091]~P1(f295(x70911,x70913))+P1(f295(f295(f208(a902),f465(x70911,x70912)),x70912))+~P1(f295(f295(f297(a902),x70913),f295(f268(a902,f2(a902)),x70912))) % 192.26/192.34 [7092]E(f295(f295(f23(a902),f295(f295(f23(a902),x70921),x70922)),f295(f295(f23(a902),x70923),x70922)),f295(f295(f23(a902),x70921),x70923))+~P1(f295(f295(f207(a902),x70922),x70921))+~P1(f295(f295(f207(a902),x70922),x70923)) % 192.26/192.34 [7128]~P87(x71281)+~P1(f295(f295(f207(x71281),f295(f82(x71281),x71283)),x71282))+P1(f295(f295(f207(x71281),f295(f82(x71281),x71282)),x71283)) % 192.26/192.34 [7130]~P93(x71301)+~P1(f295(f295(f207(x71301),f295(f77(x71301),x71302)),x71303))+P1(f295(f295(f207(x71301),f295(f82(x71301),x71302)),x71303)) % 192.26/192.34 [7132]~P87(x71321)+~P1(f295(f295(f208(x71321),f295(f82(x71321),x71323)),x71322))+P1(f295(f295(f208(x71321),f295(f82(x71321),x71322)),x71323)) % 192.26/192.34 [7133]~P119(x71331)+~P1(f295(f295(f208(x71331),f295(f77(x71331),x71332)),x71333))+P1(f295(f295(f208(x71331),f295(f82(x71331),x71332)),x71333)) % 192.26/192.34 [7165]~P1(f295(x71653,f408(x71652,x71651,x71653)))+P1(f295(f295(f208(a902),x71651),x71652))+P1(f295(x71653,f295(f295(f23(a902),x71651),x71652))) % 192.26/192.34 [7166]~P1(f295(x71663,f409(x71662,x71661,x71663)))+P1(f295(f295(f208(a902),x71661),x71662))+P1(f295(x71663,f295(f295(f23(a902),x71661),x71662))) % 192.26/192.34 [7219]~E(f335(x72193,x72192,x72191),f336(x72193,x72192,x72191))+E(f295(f295(f108(f911(x72191,a897)),x72192),f41(f911(x72191,a897),x72193)),f176(f911(x72191,a897)))+P1(f295(f295(f297(f911(x72191,a897)),x72192),x72193)) % 192.26/192.34 [7227]~P1(f295(f62(x72271),x72273))+P1(f295(f62(x72271),f42(f911(x72271,a897),x72272)))+~P1(f295(f295(f297(f911(x72271,a897)),x72273),x72272)) % 192.26/192.34 [7287]~P114(x72871)+E(f295(f295(f117(f911(x72871,a897)),f295(f268(x72871,x72872),x72873)),f295(f295(f275(x72871),x72873),f176(f911(x72871,a897)))),f269(x72871,x72872,x72873))+~P1(f295(f295(f207(x72871),x72872),x72873)) % 192.26/192.34 [7289]E(x72891,f2(a902))+P1(f295(f295(f208(a902),f471(x72891,x72893,x72892)),x72891))+P1(f295(x72892,f295(f295(f40(a902),x72893),x72891))) % 192.26/192.34 [7323]E(x73231,x73232)+~P1(f295(f295(f207(f911(x73233,a897)),x73231),x73232))+P1(f295(f295(f208(f911(x73233,a897)),x73231),x73232)) % 192.26/192.34 [7336]E(x73361,x73362)+~E(f295(f177(f903(x73363)),x73361),f295(f177(f903(x73363)),x73362))+P1(f295(f295(f208(a902),f658(x73363,x73361,x73362)),f295(f177(f903(x73363)),x73362))) % 192.26/192.34 [7386]P9(x73861,x73862,x73863)+~E(f295(f215(x73861,x73861),x73863),x73862)+~E(f295(f295(f255(x73861,x73861,x73861),f295(f253(x73861,x73861),x73863)),x73863),x73863) % 192.26/192.34 [7463]~P1(f295(x74631,f2(a902)))+P1(f295(f295(f208(a902),f471(x74633,x74632,x74631)),x74633))+P1(f295(x74631,f295(f295(f40(a902),x74632),x74633))) % 192.26/192.34 [7472]~P114(x74721)+E(f295(f295(f117(f911(x74721,a897)),f272(x74721,x74722,x74723)),f295(f295(f275(x74721),x74723),f176(f911(x74721,a897)))),f271(x74721,x74722,x74723))+~P1(f295(f295(f208(x74721),x74722),x74723)) % 192.26/192.34 [7567]~P1(f295(f62(x75671),x75673))+P1(f295(f295(f207(a902),f295(f39(x75671),x75672)),f295(f39(x75671),x75673)))+~P1(f295(f295(f207(f911(x75671,a897)),x75672),x75673)) % 192.26/192.34 [7568]~P1(f295(f62(x75681),x75683))+P1(f295(f295(f208(a902),f295(f39(x75681),x75682)),f295(f39(x75681),x75683)))+~P1(f295(f295(f208(f911(x75681,a897)),x75682),x75683)) % 192.26/192.34 [7604]~P1(f295(x76043,x76042))+P1(f295(f295(f182(x76041),x76042),f348(x76042,x76041,x76043)))+~P1(f295(f295(f182(f32(x76043,x76041)),x76042),x76042)) % 192.26/192.34 [7697]E(x76971,x76972)+~P1(f295(f295(f207(f911(x76973,a897)),x76972),x76971))+~P1(f295(f295(f207(f911(x76973,a897)),x76971),x76972)) % 192.26/192.34 [7700]~P114(x77001)+P12(x77001,x77002)+~P12(x77001,f295(f295(f137(x77001,x77001,f5(x77001)),x77003),x77002)) % 192.26/192.34 [7768]~P1(f295(f295(f208(a902),x77683),x77682))+~P1(f295(f295(f208(a902),x77683),x77681))+P1(f295(f295(f208(a902),f295(f295(f23(a902),x77681),x77682)),f295(f295(f23(a902),x77681),x77683))) % 192.26/192.34 [7769]~P1(f295(f295(f207(a902),x77692),x77691))+~P1(f295(f295(f208(a902),x77691),x77693))+P1(f295(f295(f208(a902),f295(f295(f23(a902),x77691),x77692)),f295(f295(f23(a902),x77693),x77692))) % 192.26/192.34 [7785]~P1(f295(f295(f208(a1),x77852),f2(a1)))+~P1(f295(f295(f207(a1),x77853),x77851))+P1(f295(f295(f207(a1),f295(f295(f40(a1),x77851),x77852)),f295(f295(f40(a1),x77853),x77852))) % 192.26/192.34 [7802]~P1(f295(f295(f208(a902),f2(a902)),x78023))+~P1(f295(f295(f207(a902),x78023),x78022))+P1(f295(f295(f207(a902),f295(f295(f40(a902),x78021),x78022)),f295(f295(f40(a902),x78021),x78023))) % 192.26/192.34 [7803]~P1(f295(f295(f208(a1),f2(a1)),x78032))+~P1(f295(f295(f207(a1),x78031),x78033))+P1(f295(f295(f207(a1),f295(f295(f40(a1),x78031),x78032)),f295(f295(f40(a1),x78033),x78032))) % 192.26/192.34 [7807]~P1(f295(f295(f208(a902),f2(a902)),x78072))+~P1(f295(f295(f208(a902),x78071),x78073))+P1(f295(f295(f208(a902),f295(f295(f84(a902),x78071),x78072)),f295(f295(f84(a902),x78073),x78072))) % 192.26/192.34 [7808]~P1(f295(f295(f208(a902),f2(a902)),x78081))+~P1(f295(f295(f208(a902),x78082),x78083))+P1(f295(f295(f208(a902),f295(f295(f84(a902),x78081),x78082)),f295(f295(f84(a902),x78081),x78083))) % 192.26/192.34 [7809]~P1(f295(f295(f208(a1),f2(a1)),x78091))+~P1(f295(f295(f208(a1),x78092),x78093))+P1(f295(f295(f208(a1),f295(f295(f84(a1),x78091),x78092)),f295(f295(f84(a1),x78091),x78093))) % 192.26/192.34 [7859]E(x78591,f2(a902))+E(f295(f295(f83(a902),f295(f295(f84(a902),x78591),f468(x78591,x78592,x78593))),f471(x78591,x78592,x78593)),x78592)+P1(f295(x78593,f295(f295(f40(a902),x78592),x78591))) % 192.26/192.34 [7919]E(f295(f295(f83(a902),f295(f295(f84(a902),x79191),f468(x79191,x79192,x79193))),f471(x79191,x79192,x79193)),x79192)+~P1(f295(x79193,f2(a902)))+P1(f295(x79193,f295(f295(f40(a902),x79192),x79191))) % 192.26/192.34 [7935]~P1(f295(f62(x79351),x79353))+P1(f295(f295(f297(x79351),f453(x79352,x79353,x79351)),x79353))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f9(x79351,a902),x79352),x79353))) % 192.26/192.34 [7936]~P1(f295(f62(x79361),x79363))+P1(f295(f295(f297(x79361),f555(x79362,x79363,x79361)),x79363))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f9(x79361,a902),x79362),x79363))) % 192.26/192.34 [8239]E(x82391,f176(f911(x82392,a897)))+E(x82391,f295(f295(f275(x82392),x82393),f176(f911(x82392,a897))))+~P1(f295(f295(f207(f911(x82392,a897)),x82391),f295(f295(f275(x82392),x82393),f176(f911(x82392,a897))))) % 192.26/192.34 [8274]~P1(f295(f295(f208(a902),f2(a902)),x82743))+P1(f295(f295(f207(a902),x82741),x82742))+~P1(f295(f295(f207(a902),f295(f295(f84(a902),x82743),x82741)),f295(f295(f84(a902),x82743),x82742))) % 192.26/192.34 [8275]~P1(f295(f295(f208(a902),f2(a902)),x82753))+P1(f295(f295(f207(a902),x82751),x82752))+~P1(f295(f295(f207(a902),f295(f295(f84(a902),x82751),x82753)),f295(f295(f84(a902),x82752),x82753))) % 192.26/192.34 [8276]~P1(f295(f295(f208(a902),f2(a902)),x82763))+P1(f295(f295(f208(a902),x82761),x82762))+~P1(f295(f295(f208(a902),f295(f295(f218(a902),x82763),x82761)),f295(f295(f218(a902),x82763),x82762))) % 192.26/192.34 [8307]~P1(f295(x83071,x83073))+P1(f295(f295(f182(f32(x83071,x83072)),f348(x83073,x83072,x83071)),x83073))+~P1(f295(f295(f182(f32(x83071,x83072)),x83073),x83073)) % 192.26/192.34 [8316]~E(f295(f295(f108(f911(x83161,a897)),f336(x83163,x83162,x83161)),f335(x83163,x83162,x83161)),f176(f911(x83161,a897)))+E(f295(f295(f108(f911(x83161,a897)),x83162),f41(f911(x83161,a897),x83163)),f176(f911(x83161,a897)))+P1(f295(f295(f297(f911(x83161,a897)),x83162),x83163)) % 192.26/192.34 [8330]E(x83301,f120(x83302))+~E(f295(f131(f903(x83302),f903(x83302),f122(x83302),f120(x83302)),x83303),f120(x83302))+~P1(f295(f295(f297(f903(x83302)),x83301),f295(f160(f903(x83302)),x83303))) % 192.26/192.34 [8386]E(x83861,f176(f911(f911(x83862,a897),a897)))+P1(f295(f295(f297(f911(x83862,a897)),f337(x83863,x83861,x83862)),x83861))+P1(f295(f295(f207(f911(x83862,a897)),f42(f911(x83862,a897),x83861)),x83863)) % 192.26/192.34 [8393]~P77(x83931)+~P83(x83931)+E(f295(f295(f6(a1,x83931),f295(f295(f8(a902,x83931,a1),x83932),a111)),f295(f276(a902,a1,f107(a1)),x83933)),f295(f295(f6(a902,x83931),x83932),x83933)) % 192.26/192.34 [8394]~P77(x83941)+~P83(x83941)+E(f295(f295(f9(a1,x83941),f295(f295(f8(a902,x83941,a1),x83942),a111)),f295(f276(a902,a1,f107(a1)),x83943)),f295(f295(f9(a902,x83941),x83942),x83943)) % 192.26/192.34 [8438]~P1(f295(f62(x84381),x84383))+~P1(f295(f295(f208(a902),f2(a902)),f295(x84382,f453(x84382,x84383,x84381))))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f9(x84381,a902),x84382),x84383))) % 192.26/192.34 [8439]~P1(f295(f62(x84391),x84393))+~P1(f295(f295(f208(a902),f2(a902)),f295(x84392,f555(x84392,x84393,x84391))))+P1(f295(f295(f208(a902),f2(a902)),f295(f295(f9(x84391,a902),x84392),x84393))) % 192.26/192.34 [8473]~P73(x84732)+E(x84731,f81(x84732))+E(f295(f295(f256(x84732),f295(f295(f23(x84732),f295(f295(f218(x84732),x84731),x84733)),f81(x84732))),f295(f295(f23(x84732),x84731),f81(x84732))),f295(f295(f6(a902,x84732),f295(f218(x84732),x84731)),f295(f268(a902,f2(a902)),x84733))) % 192.26/192.34 [8529]E(x85291,f2(a902))+~P1(f295(x85293,f295(f295(f40(a902),x85292),x85291)))+P1(f295(f295(f208(a902),x85292),f295(f295(f84(a902),x85291),f295(a119,f467(x85291,x85292,x85293))))) % 192.26/192.34 [8547]P1(f295(x85471,f2(a902)))+~P1(f295(x85471,f295(f295(f40(a902),x85472),x85473)))+P1(f295(f295(f208(a902),x85472),f295(f295(f84(a902),x85473),f295(a119,f467(x85473,x85472,x85471))))) % 192.26/192.34 [8586]E(x85861,f2(a902))+~P1(f295(x85863,f295(f295(f40(a902),x85862),x85861)))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x85861),f467(x85861,x85862,x85863))),x85862)) % 192.26/192.34 [8621]P1(f295(x86211,f2(a902)))+~P1(f295(x86211,f295(f295(f40(a902),x86213),x86212)))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x86212),f467(x86212,x86213,x86211))),x86213)) % 192.26/192.34 [8628]~P114(x86281)+E(f295(f295(f137(x86281,x86281,f5(x86281)),x86282),x86283),f138(x86281,x86281,f5(x86281),x86282,x86283))+P1(f295(f295(f297(x86281),x86282),f295(f160(x86281),x86283))) % 192.26/192.34 [8666]~E(f295(x86663,f746(x86662,x86663,x86661)),f295(x86663,f748(x86662,x86663,x86661)))+~P65(x86661,f295(x86663,f747(x86662,x86663,x86661)))+P65(x86661,f295(f295(f44(x86662,f911(x86661,f911(x86661,a897))),f214(f911(x86662,a897))),x86663)) % 192.26/192.34 [8674]E(x86741,f176(f911(f911(x86742,a897),a897)))+~P1(f295(f295(f207(f911(x86742,a897)),f337(x86743,x86741,x86742)),x86743))+P1(f295(f295(f207(f911(x86742,a897)),f42(f911(x86742,a897),x86741)),x86743)) % 192.26/192.34 [8734]~P75(x87341)+~P1(f295(f295(f208(x87341),x87342),x87343))+P1(f295(f295(f208(x87341),x87342),f295(f295(f256(x87341),f295(f295(f83(x87341),x87342),x87343)),f295(f295(f83(x87341),f81(x87341)),f81(x87341))))) % 192.26/192.34 [8805]~P1(f295(f295(x88051,f596(x88051,x88053,x88052)),f597(x88051,x88053,x88052)))+P1(f295(f295(x88051,x88052),x88053))+~P1(f295(f284(f910(a1,a1),a53),f295(f295(f217(a1,a1),x88052),x88053))) % 192.26/192.34 [8806]~P1(f295(f295(x88061,f598(x88061,x88063,x88062)),f599(x88061,x88063,x88062)))+P1(f295(f295(x88061,x88062),x88063))+~P1(f295(f284(f910(a1,a1),a59),f295(f295(f217(a1,a1),x88062),x88063))) % 192.26/192.34 [8807]~P1(f295(f295(x88071,f601(x88071,x88073,x88072)),f602(x88071,x88073,x88072)))+P1(f295(f295(x88071,x88072),x88073))+~P1(f295(f284(f910(a1,a1),a197),f295(f295(f217(a1,a1),x88072),x88073))) % 192.26/192.34 [8808]~P1(f295(f295(x88081,f603(x88081,x88083,x88082)),f604(x88081,x88083,x88082)))+P1(f295(f295(x88081,x88082),x88083))+~P1(f295(f284(f910(a902,a902),a195),f295(f295(f217(a902,a902),x88082),x88083))) % 192.26/192.34 [8809]~P1(f295(f295(x88091,f680(x88091,x88093,x88092)),f681(x88091,x88093,x88092)))+P1(f295(f295(x88091,x88092),x88093))+~P1(f295(f284(f910(a1,a1),a169),f295(f295(f217(a1,a1),x88092),x88093))) % 192.26/192.34 [9092]P1(f295(f295(x90921,x90922),x90923))+P1(f295(f284(f910(a902,a902),a195),f295(f295(f217(a902,a902),f603(x90921,x90923,x90922)),f604(x90921,x90923,x90922))))+~P1(f295(f284(f910(a902,a902),a195),f295(f295(f217(a902,a902),x90922),x90923))) % 192.26/192.34 [9093]P1(f295(f295(x90931,x90932),x90933))+P1(f295(f284(f910(a1,a1),a53),f295(f295(f217(a1,a1),f596(x90931,x90933,x90932)),f597(x90931,x90933,x90932))))+~P1(f295(f284(f910(a1,a1),a53),f295(f295(f217(a1,a1),x90932),x90933))) % 192.26/192.34 [9094]P1(f295(f295(x90941,x90942),x90943))+P1(f295(f284(f910(a1,a1),a59),f295(f295(f217(a1,a1),f598(x90941,x90943,x90942)),f599(x90941,x90943,x90942))))+~P1(f295(f284(f910(a1,a1),a59),f295(f295(f217(a1,a1),x90942),x90943))) % 192.26/192.34 [9095]P1(f295(f295(x90951,x90952),x90953))+P1(f295(f284(f910(a1,a1),a197),f295(f295(f217(a1,a1),f601(x90951,x90953,x90952)),f602(x90951,x90953,x90952))))+~P1(f295(f284(f910(a1,a1),a197),f295(f295(f217(a1,a1),x90952),x90953))) % 192.26/192.34 [9096]P1(f295(f295(x90961,x90962),x90963))+P1(f295(f284(f910(a1,a1),a169),f295(f295(f217(a1,a1),f680(x90961,x90963,x90962)),f681(x90961,x90963,x90962))))+~P1(f295(f284(f910(a1,a1),a169),f295(f295(f217(a1,a1),x90962),x90963))) % 192.26/192.34 [9430]~P1(f295(f62(x94301),x94303))+P1(f295(f295(f297(f910(f911(x94301,a897),f911(x94301,a897))),f295(f295(f217(f911(x94301,a897),f911(x94301,a897)),x94302),x94303)),f283(x94301)))+~P1(f295(f295(f208(f911(x94301,a897)),x94302),x94303)) % 192.26/192.34 [9502]~P65(x95021,f295(x95023,f747(x95022,x95023,x95021)))+P65(x95021,f295(f295(f44(x95022,f911(x95021,f911(x95021,a897))),f214(f911(x95022,a897))),x95023))+~E(f295(f295(f108(f911(x95021,a897)),f224(x95021,x95021,f295(x95023,f746(x95022,x95023,x95021)))),f225(x95021,x95021,f295(x95023,f748(x95022,x95023,x95021)))),f176(f911(x95021,a897))) % 192.26/192.34 [9691]P58(x96911,x96912,x96913)+P1(f295(f295(f297(f910(x96911,x96911)),f613(x96913,x96912,x96911)),x96913))+~P1(f295(f295(f297(f910(x96911,x96911)),f295(f295(f217(x96911,x96911),f612(x96913,x96912,x96911)),f612(x96913,x96912,x96911))),x96913)) % 192.26/192.34 [10328]P58(x103281,x103282,x103283)+~P1(f295(f295(f228(x103281,x103281,a897),f295(f295(f7(x103281,f911(x103281,a897),f911(x103281,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x103281,a897),f911(x103281,a897)),x103281),f8(a897,a897,x103281)),f295(f295(f8(a897,f911(a897,a897),x103281),a293),f295(f295(f7(x103281,f911(x103281,a897),a897),f297(x103281)),x103282)))),f295(f295(f7(x103281,f911(x103281,a897),a897),f297(x103281)),x103282))),f613(x103283,x103282,x103281)))+~P1(f295(f295(f297(f910(x103281,x103281)),f295(f295(f217(x103281,x103281),f612(x103283,x103282,x103281)),f612(x103283,x103282,x103281))),x103283)) % 192.26/192.34 [5821]~P69(x58212)+E(x58211,f2(x58212))+E(f295(f295(f40(x58212),f295(f295(f84(x58212),x58213),x58211)),x58211),x58213) % 192.26/192.34 [5822]~P69(x58222)+E(x58221,f2(x58222))+E(f295(f295(f40(x58222),f295(f295(f84(x58222),x58221),x58223)),x58221),x58223) % 192.26/192.34 [6610]~P77(x66101)+~E(f295(x66102,f2(a902)),f2(x66101))+E(f295(f295(f6(a902,x66101),x66102),f295(f268(a902,f295(a119,f2(a902))),x66103)),f295(f295(f6(a902,x66101),x66102),f295(f268(a902,f2(a902)),x66103))) % 192.26/192.34 [6738]~P69(x67382)+E(x67381,f2(x67382))+E(f295(f295(f40(x67382),f295(f295(f83(x67382),x67383),x67381)),x67381),f295(f295(f83(x67382),f295(f295(f40(x67382),x67383),x67381)),f81(x67382))) % 192.26/192.34 [6739]~P69(x67392)+E(x67391,f2(x67392))+E(f295(f295(f40(x67392),f295(f295(f83(x67392),x67391),x67393)),x67391),f295(f295(f83(x67392),f295(f295(f40(x67392),x67393),x67391)),f81(x67392))) % 192.26/192.34 [6951]~P1(f295(x69513,f2(a1)))+P1(f295(f295(f207(a902),x69511),x69512))+P1(f295(x69513,f295(f107(a1),f295(f295(f23(a902),x69512),x69511)))) % 192.26/192.34 [7052]P1(f295(f295(f208(a902),x70522),x70521))+P1(f295(f295(f207(a902),x70521),x70522))+P1(f295(x70523,f295(f107(a1),f295(f295(f23(a902),x70522),x70521)))) % 192.26/192.34 [7126]E(f295(f295(f83(a902),f295(f110(a902),x71261)),f295(f295(f83(a902),f295(f110(a902),x71262)),x71263)),f295(f295(f83(a902),f295(f110(a902),x71261)),x71263))+P1(f295(a179,f295(f110(a1),x71261)))+~P1(f295(a179,f295(f110(a1),x71262))) % 192.26/192.34 [7205]~E(x72052,f295(f295(f40(a902),x72053),x72051))+~P1(f295(f295(f208(a902),f2(a902)),x72051))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x72051),x72052)),x72053)) % 192.26/192.34 [7320]~P1(f295(f62(x73201),x73203))+~P1(f295(f62(x73201),x73202))+P1(f295(f62(x73201),f295(f295(f117(f911(x73201,a897)),x73202),x73203))) % 192.26/192.34 [7371]~P38(x73711,x73713)+~P38(x73711,x73712)+P38(x73711,f295(f295(f117(f911(f910(x73711,x73711),a897)),x73712),x73713)) % 192.26/192.34 [7372]~P38(x73721,x73723)+~P38(x73721,x73722)+P38(x73721,f295(f295(f108(f911(f910(x73721,x73721),a897)),x73722),x73723)) % 192.26/192.34 [7373]~P37(x73731,x73733)+~P37(x73731,x73732)+P37(x73731,f295(f295(f108(f911(f910(x73731,x73731),a897)),x73732),x73733)) % 192.26/192.34 [7616]~P114(x76161)+~P1(f295(f62(x76161),x76162))+E(f128(x76161,f295(f295(f23(f911(x76161,a897)),x76162),f295(f295(f275(x76161),x76163),f176(f911(x76161,a897))))),f158(x76161,x76163,f128(x76161,x76162))) % 192.26/192.34 [7676]P1(f295(x76761,f2(a1)))+~P1(f295(f295(f208(a902),x76762),x76763))+~P1(f295(x76761,f295(f107(a1),f295(f295(f23(a902),x76762),x76763)))) % 192.26/192.34 [7694]~P1(f295(f62(x76941),x76942))+E(f295(f39(x76941),f295(f295(f23(f911(x76941,a897)),x76942),f295(f295(f275(x76941),x76943),f176(f911(x76941,a897))))),f295(f39(x76941),x76942))+P1(f295(f295(f297(x76941),x76943),x76942)) % 192.26/192.34 [7824]~P131(x78241)+~P1(f295(f295(f208(x78241),f81(x78241)),x78242))+P1(f295(f295(f208(x78241),f81(x78241)),f295(f295(f84(x78241),x78242),f295(f295(f218(x78241),x78242),x78243)))) % 192.26/192.34 [7869]~P1(f295(f62(x78691),x78693))+E(f295(f295(f23(a902),f295(f39(x78691),x78692)),f295(f39(x78691),x78693)),f295(f39(x78691),f295(f295(f23(f911(x78691,a897)),x78692),x78693)))+~P1(f295(f295(f207(f911(x78691,a897)),x78693),x78692)) % 192.26/192.34 [7927]~P1(f295(f295(f207(a902),x79272),x79273))+~P1(f295(f295(f207(a902),x79271),f295(f295(f23(a902),x79273),x79272)))+P1(f295(f295(f207(a902),f295(f295(f83(a902),x79271),x79272)),x79273)) % 192.26/192.34 [7980]P1(f295(f62(x79801),x79802))+~P1(f295(f62(x79801),x79803))+~P1(f295(f62(x79801),f295(f295(f23(f911(x79801,a897)),x79802),x79803))) % 192.26/192.34 [7986]~P1(f295(f62(x79861),x79862))+E(f295(f39(x79861),f295(f295(f23(f911(x79861,a897)),x79862),f295(f295(f275(x79861),x79863),f176(f911(x79861,a897))))),f295(f295(f23(a902),f295(f39(x79861),x79862)),f81(a902)))+~P1(f295(f295(f297(x79861),x79863),x79862)) % 192.26/192.34 [8062]P65(x80621,x80622)+~P65(x80621,x80623)+~P1(f295(f295(f207(f911(x80621,f911(x80621,a897))),x80622),x80623)) % 192.26/192.34 [8103]~P1(f295(f295(f207(a902),x81033),x81032))+P1(f295(f295(f207(a902),x81031),f295(f295(f23(a902),x81032),x81033)))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),x81031),x81033)),x81032)) % 192.26/192.34 [8121]P36(x81211,x81212)+~P36(x81211,x81213)+~P1(f295(f295(f207(f911(f910(x81211,x81211),a897)),x81212),x81213)) % 192.26/192.34 [8122]P63(x81221,x81222)+~P63(x81221,x81223)+~P1(f295(f295(f207(f911(f910(x81221,x81221),a897)),x81222),x81223)) % 192.26/192.34 [8123]P39(x81231,x81232)+~P39(x81231,x81233)+~P1(f295(f295(f207(f911(f910(x81231,x81231),a897)),x81232),x81233)) % 192.26/192.34 [8363]~P131(x83631)+~P1(f295(f295(f208(x83631),f81(x83631)),x83632))+P1(f295(f295(f208(x83631),f295(f295(f218(x83631),x83632),x83633)),f295(f295(f84(x83631),x83632),f295(f295(f218(x83631),x83632),x83633)))) % 192.26/192.34 [8457]~P1(f295(x84571,f2(a1)))+~P1(f295(x84571,f295(f295(f23(a1),f295(f107(a1),x84572)),f295(f107(a1),x84573))))+P1(f295(x84571,f295(f107(a1),f295(f295(f23(a902),x84572),x84573)))) % 192.26/192.34 [8470]~P1(f295(f295(f207(a902),x84703),x84702))+P1(f295(x84701,f295(f295(f23(a1),f295(f107(a1),x84702)),f295(f107(a1),x84703))))+~P1(f295(x84701,f295(f107(a1),f295(f295(f23(a902),x84702),x84703)))) % 192.26/192.34 [8487]P1(f295(f295(f208(a902),x84871),x84872))+~P1(f295(x84873,f295(f295(f23(a1),f295(f107(a1),x84871)),f295(f107(a1),x84872))))+P1(f295(x84873,f295(f107(a1),f295(f295(f23(a902),x84871),x84872)))) % 192.26/192.34 [8539]~P133(x85392)+E(x85391,f2(x85392))+P1(f295(f295(f208(x85392),f2(x85392)),f295(f295(f83(x85392),f295(f295(f84(x85392),x85393),x85393)),f295(f295(f84(x85392),x85391),x85391)))) % 192.26/192.34 [8540]~P133(x85402)+E(x85401,f2(x85402))+P1(f295(f295(f208(x85402),f2(x85402)),f295(f295(f83(x85402),f295(f295(f84(x85402),x85401),x85401)),f295(f295(f84(x85402),x85403),x85403)))) % 192.26/192.34 [8645]~P1(f295(f295(f208(a902),f2(a902)),x86451))+~P1(f295(f295(f208(a1),x86452),x86453))+P1(f295(f295(f208(a1),f295(f295(f84(a1),f295(f107(a1),x86451)),x86452)),f295(f295(f84(a1),f295(f107(a1),x86451)),x86453))) % 192.26/192.34 [8702]E(f295(f295(f108(f911(x87021,a897)),x87022),f41(f911(x87021,a897),x87023)),f176(f911(x87021,a897)))+P1(f295(f295(f297(f911(x87021,a897)),x87022),x87023))+P1(f295(f295(f297(f911(x87021,a897)),f336(x87023,x87022,x87021)),f295(f295(f275(f911(x87021,a897)),x87022),x87023))) % 192.26/192.34 [8703]E(f295(f295(f108(f911(x87031,a897)),x87032),f41(f911(x87031,a897),x87033)),f176(f911(x87031,a897)))+P1(f295(f295(f297(f911(x87031,a897)),x87032),x87033))+P1(f295(f295(f297(f911(x87031,a897)),f335(x87033,x87032,x87031)),f295(f295(f275(f911(x87031,a897)),x87032),x87033))) % 192.26/192.34 [8733]E(x87331,x87332)+~E(f295(f177(f903(x87333)),x87331),f295(f177(f903(x87333)),x87332))+P1(f295(f295(f297(f910(x87333,x87333)),f672(x87333,x87331,x87332)),f295(f160(f910(x87333,x87333)),f295(f295(f168(x87333,x87333),x87332),x87331)))) % 192.26/192.34 [8996]E(f273(x89961,x89962),f273(x89961,x89963))+~P1(f295(f295(f207(f911(f910(x89961,x89961),a897)),x89963),f273(x89961,x89962)))+~P1(f295(f295(f207(f911(f910(x89961,x89961),a897)),x89962),x89963)) % 192.26/192.34 [9068]~P58(x90681,f214(f911(x90681,a897)),x90683)+P1(f295(f295(f207(f911(f910(f903(x90681),f903(x90681)),a897)),f146(x90681,x90682)),f147(x90681,x90683)))+~P1(f295(f295(f207(f911(f910(x90681,x90681),a897)),x90682),x90683)) % 192.26/192.34 [9270]P36(x92701,x92702)+~P1(f295(f295(f297(x92701),x92703),f779(x92702,x92701)))+P1(f295(f295(f297(f910(x92701,x92701)),f295(f295(f217(x92701,x92701),f828(x92702,x92701,x92703)),x92703)),x92702)) % 192.26/192.34 [9302]~P1(f295(f62(x93021),x93022))+P1(f295(f62(f911(x93021,a897)),f295(f295(f61(x93021),x93022),x93023)))+~P1(f295(f295(f207(f911(f910(x93021,x93021),a897)),x93023),f295(f295(f226(x93021,x93021),x93022),f295(f16(f911(x93021,a897),x93021),x93022)))) % 192.26/192.34 [9340]P58(x93401,x93402,x93403)+P1(f295(f295(f297(x93401),f615(x93403,x93402,x93401)),x93402))+~P1(f295(f295(f207(f911(f910(x93401,x93401),a897)),x93403),f295(f295(f226(x93401,x93401),x93402),f295(f16(f911(x93401,a897),x93401),x93402)))) % 192.26/192.34 [9341]P58(x93411,x93412,x93413)+P1(f295(f295(f297(x93411),f616(x93412,x93413,x93411)),x93412))+~P1(f295(f295(f207(f911(f910(x93411,x93411),a897)),x93413),f295(f295(f226(x93411,x93411),x93412),f295(f16(f911(x93411,a897),x93411),x93412)))) % 192.26/192.34 [9373]~P75(x93731)+~P1(f295(f295(f208(x93731),x93732),x93733))+P1(f295(f295(f208(x93731),f295(f295(f256(x93731),f295(f295(f83(x93731),x93732),x93733)),f295(f295(f83(x93731),f81(x93731)),f81(x93731)))),x93733)) % 192.26/192.34 [9396]~P74(x93961)+P1(f295(f295(f207(x93961),x93962),x93963))+~P1(f295(f295(f207(x93961),f295(f295(f84(x93961),f534(x93963,x93962,x93961)),x93962)),x93963)) % 192.26/192.34 [9533]E(f295(f177(f903(f903(x95331))),f295(f125(f903(x95331),f295(f295(f8(a902,a897,f903(x95331)),f295(f208(a902),x95332)),f177(f903(x95331)))),f166(x95331,x95333))),f295(f177(f903(x95331)),f295(f295(f153(f903(x95331)),x95333),x95332)))+~P12(a902,f295(f157(a902),f295(f295(f143(f903(x95331),a902),f177(f903(x95331))),x95333)))+~P1(f295(f295(f208(a902),x95332),f295(f177(f903(f903(x95331))),x95333))) % 192.26/192.34 [9640]~P36(x96401,x96402)+P25(x96401,f295(f295(f217(f911(f910(x96401,x96401),a897),f911(f910(x96401,x96401),a897)),x96402),x96403))+~P1(f295(f295(f207(f911(f910(x96401,x96401),a897)),f295(f295(f255(x96401,x96401,x96401),x96402),x96403)),x96402)) % 192.26/192.34 [9645]E(f295(f295(f143(f903(x96451),x96451),f295(f295(f7(f903(x96451),a902,x96451),f153(x96451)),x96452)),f295(f125(f903(x96451),f295(f295(f8(a902,a897,f903(x96451)),f295(f208(a902),x96452)),f177(f903(x96451)))),f166(x96451,x96453))),f295(f295(f153(f903(x96451)),x96453),x96452))+~P12(a902,f295(f157(a902),f295(f295(f143(f903(x96451),a902),f177(f903(x96451))),x96453)))+~P1(f295(f295(f208(a902),x96452),f295(f177(f903(f903(x96451))),x96453))) % 192.26/192.34 [9776]P58(x97761,x97762,x97763)+~P1(f295(f295(f297(f910(x97761,x97761)),f295(f295(f217(x97761,x97761),f615(x97763,x97762,x97761)),f615(x97763,x97762,x97761))),x97763))+~P1(f295(f295(f207(f911(f910(x97761,x97761),a897)),x97763),f295(f295(f226(x97761,x97761),x97762),f295(f16(f911(x97761,a897),x97761),x97762)))) % 192.26/192.34 [9777]P58(x97771,x97772,x97773)+~P1(f295(f295(f297(f910(x97771,x97771)),f295(f295(f217(x97771,x97771),f616(x97772,x97773,x97771)),f616(x97772,x97773,x97771))),x97773))+~P1(f295(f295(f207(f911(f910(x97771,x97771),a897)),x97773),f295(f295(f226(x97771,x97771),x97772),f295(f16(f911(x97771,a897),x97771),x97772)))) % 192.26/192.34 [10153]~E(x101533,f2(a902))+~E(f295(f177(f903(x101531)),f295(f295(f153(f903(x101531)),x101532),f714(x101533,x101531,x101532))),x101533)+E(f295(f295(f143(a902,f903(x101531)),f295(f295(f7(a902,f903(a902),f903(x101531)),f295(f295(f8(f911(a902,x101531),f911(f903(a902),f903(x101531)),a902),f143(a902,x101531)),f295(f7(a902,a902,x101531),f295(f295(f8(f903(x101531),f911(a902,x101531),a902),f153(x101531)),f295(f153(f903(x101531)),x101532))))),f128(a902,f295(f268(a902,f2(a902)),f295(f177(f903(f903(x101531))),x101532))))),f128(a902,f295(f268(a902,f2(a902)),x101533))),f166(x101531,x101532)) % 192.26/192.34 [10154]E(x101541,f120(f903(x101542)))+~E(f295(f177(f903(x101542)),f295(f295(f153(f903(x101542)),x101541),f714(x101543,x101542,x101541))),x101543)+E(f295(f295(f143(a902,f903(x101542)),f295(f295(f7(a902,f903(a902),f903(x101542)),f295(f295(f8(f911(a902,x101542),f911(f903(a902),f903(x101542)),a902),f143(a902,x101542)),f295(f7(a902,a902,x101542),f295(f295(f8(f903(x101542),f911(a902,x101542),a902),f153(x101542)),f295(f153(f903(x101542)),x101541))))),f128(a902,f295(f268(a902,f2(a902)),f295(f177(f903(f903(x101542))),x101541))))),f128(a902,f295(f268(a902,f2(a902)),x101543))),f166(x101542,x101541)) % 192.26/192.34 [10155]~E(x101553,f2(a902))+E(f295(f295(f143(a902,f903(x101551)),f295(f295(f7(a902,f903(a902),f903(x101551)),f295(f295(f8(f911(a902,x101551),f911(f903(a902),f903(x101551)),a902),f143(a902,x101551)),f295(f7(a902,a902,x101551),f295(f295(f8(f903(x101551),f911(a902,x101551),a902),f153(x101551)),f295(f153(f903(x101551)),x101552))))),f128(a902,f295(f268(a902,f2(a902)),f295(f177(f903(f903(x101551))),x101552))))),f128(a902,f295(f268(a902,f2(a902)),x101553))),f166(x101551,x101552))+P1(f295(f295(f208(a902),f714(x101553,x101551,x101552)),f295(f177(f903(f903(x101551))),x101552))) % 192.26/192.34 [10156]E(x101561,f120(f903(x101562)))+E(f295(f295(f143(a902,f903(x101562)),f295(f295(f7(a902,f903(a902),f903(x101562)),f295(f295(f8(f911(a902,x101562),f911(f903(a902),f903(x101562)),a902),f143(a902,x101562)),f295(f7(a902,a902,x101562),f295(f295(f8(f903(x101562),f911(a902,x101562),a902),f153(x101562)),f295(f153(f903(x101562)),x101561))))),f128(a902,f295(f268(a902,f2(a902)),f295(f177(f903(f903(x101562))),x101561))))),f128(a902,f295(f268(a902,f2(a902)),x101563))),f166(x101562,x101561))+P1(f295(f295(f208(a902),f714(x101563,x101562,x101561)),f295(f177(f903(f903(x101562))),x101561))) % 192.26/192.34 [7867]E(f295(f295(f83(a902),f295(f110(a902),x78671)),f295(f295(f83(a902),f295(f110(a902),x78672)),x78673)),f295(f295(f83(a902),f295(f110(a902),f295(f295(f83(a1),x78671),x78672))),x78673))+P1(f295(a179,f295(f110(a1),x78671)))+P1(f295(a179,f295(f110(a1),x78672))) % 192.26/192.34 [8636]~P1(f295(f62(x86361),x86362))+~P1(f295(f295(f297(x86361),x86363),x86362))+E(f295(a119,f295(f39(x86361),f295(f295(f23(f911(x86361,a897)),x86362),f295(f295(f275(x86361),x86363),f176(f911(x86361,a897)))))),f295(f39(x86361),x86362)) % 192.26/192.34 [8655]~P1(f295(f62(x86551),x86552))+~P1(f295(f295(f297(x86551),x86553),x86552))+E(f295(f295(f83(a902),f81(a902)),f295(f39(x86551),f295(f295(f23(f911(x86551,a897)),x86552),f295(f295(f275(x86551),x86553),f176(f911(x86551,a897)))))),f295(f39(x86551),x86552)) % 192.26/192.34 [8742]~P114(x87421)+~P1(f295(f62(x87421),x87423))+E(f295(f295(f137(x87421,x87421,f5(x87421)),x87422),f128(x87421,f295(f295(f23(f911(x87421,a897)),x87423),f295(f295(f275(x87421),x87422),f176(f911(x87421,a897)))))),f128(x87421,f295(f295(f275(x87421),x87422),x87423))) % 192.26/192.34 [8923]~P1(f295(f62(x89231),x89233))+~P1(f295(f62(x89231),x89232))+E(f295(f295(f83(a902),f295(f39(x89231),f295(f295(f117(f911(x89231,a897)),x89232),x89233))),f295(f39(x89231),f295(f295(f108(f911(x89231,a897)),x89232),x89233))),f295(f295(f83(a902),f295(f39(x89231),x89232)),f295(f39(x89231),x89233))) % 192.26/192.34 [10098]~P24(x100981,f911(f911(x100981,a897),a897),f295(f295(f7(x100981,f911(f910(x100981,x100981),a897),f911(f911(x100981,a897),a897)),f295(f295(f8(f911(x100981,a897),f911(f911(f910(x100981,x100981),a897),f911(f911(x100981,a897),a897)),x100981),f61(x100981)),f295(f295(f7(x100981,f911(x100981,a897),f911(x100981,a897)),f275(x100981)),f176(f911(x100981,a897))))),x100983),x100982)+~P1(f295(f62(x100981),x100982))+E(f295(f39(f911(x100981,a897)),f295(f295(f61(x100981),x100982),x100983)),f295(f39(x100981),x100982)) % 192.26/192.34 [8138]~P104(x81381)+P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x81383)))+E(f295(f295(f218(x81381),x81382),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),x81383),x81383)),a104))),f81(x81381)) % 192.26/192.34 [9623]~P104(x96231)+~P1(f295(f295(f207(a1),f2(a1)),f295(f110(a1),x96233)))+E(f295(f295(f218(x96231),x96232),f295(f110(a902),f295(f295(f23(a1),f295(f295(f83(a1),x96233),x96233)),a104))),f295(f295(f89(x96231,x96231),f295(f295(f218(x96231),x96232),f295(f110(a902),x96233))),f295(f295(f18(x96231,x96231,x96231),f295(f295(f8(x96231,f911(x96231,x96231),x96231),f84(x96231)),f295(f84(x96231),x96232))),f5(x96231)))) % 192.26/192.34 [10010]~P1(f295(f126(x100101),x100103))+~P1(f295(f295(f297(x100101),x100102),f295(f160(x100101),x100103)))+E(f295(f295(f127(x100101),f295(f177(f903(x100101)),f164(x100101,f295(f295(f8(a897,a897,x100101),a291),f295(f295(f7(x100101,x100101,a897),a292),x100102)),f295(f157(x100101),x100103)))),f295(f157(x100101),x100103)),f295(f295(f140(x100101),x100102),f295(f157(x100101),f164(x100101,f295(f295(f8(a897,a897,x100101),a291),f295(f295(f7(x100101,x100101,a897),a292),x100102)),x100103)))) % 192.26/192.34 [10076]P1(f295(f295(f207(f911(f910(x100761,x100761),a897)),f273(x100761,x100762)),x100763))+~P1(f295(f295(f207(f911(f910(x100761,x100761),a897)),f273(x100761,f176(f911(f910(x100761,x100761),a897)))),x100763))+~P1(f295(f295(f207(f911(f910(x100761,x100761),a897)),f295(f295(f255(x100761,x100761,x100761),f295(f295(f108(f911(f910(x100761,x100761),a897)),f273(x100761,x100762)),x100763)),x100762)),x100763)) % 192.26/192.34 [9931]~P1(f295(f62(x99311),f295(f212(x99311),x99313)))+~P1(f295(f62(x99311),f295(f212(x99311),x99312)))+P1(f295(f62(x99311),f295(f212(x99311),f295(f295(f18(x99311,a897,a897),f295(f295(f8(a897,f911(a897,a897),x99311),a294),x99312)),x99313)))) % 192.26/192.34 [10245]P1(f295(f295(f207(f911(f910(x102451,x102451),a897)),f295(f295(f255(x102451,x102451,x102451),x102452),f273(x102451,x102452))),x102453))+~P1(f295(f295(f207(f911(f910(x102451,x102451),a897)),x102452),x102453))+~P1(f295(f295(f207(f911(f910(x102451,x102451),a897)),f295(f295(f255(x102451,x102451,x102451),f295(f295(f108(f911(f910(x102451,x102451),a897)),f295(f295(f255(x102451,x102451,x102451),x102452),f273(x102451,x102452))),x102453)),x102452)),x102453)) % 192.26/192.34 [10173]~P119(x101732)+E(x101731,f2(x101732))+~E(f295(f295(f83(x101732),f295(f295(f218(x101732),x101733),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x101732),x101731),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f2(x101732)) % 192.26/192.34 [10174]~P119(x101742)+E(x101741,f2(x101742))+~E(f295(f295(f83(x101742),f295(f295(f218(x101742),x101741),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x101742),x101743),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f2(x101742)) % 192.26/192.34 [10181]~P1(f295(f126(x101811),x101813))+~P1(f295(f295(f297(x101811),x101812),f295(f160(x101811),x101813)))+E(f295(f157(x101811),f295(f159(x101811),f295(f295(f127(x101811),f295(f177(f903(x101811)),f164(x101811,f295(f295(f8(a897,a897,x101811),a291),f295(f295(f7(x101811,x101811,a897),a292),x101812)),x101813))),x101813))),f164(x101811,f295(f295(f8(a897,a897,x101811),a291),f295(f295(f7(x101811,x101811,a897),a292),x101812)),f295(f157(x101811),x101813))) % 192.26/192.34 [10304]~P119(x103042)+E(x103041,f2(x103042))+P1(f295(f295(f208(x103042),f2(x103042)),f295(f295(f83(x103042),f295(f295(f218(x103042),x103043),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103042),x103041),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))))) % 192.26/192.34 [10305]~P119(x103052)+E(x103051,f2(x103052))+P1(f295(f295(f208(x103052),f2(x103052)),f295(f295(f83(x103052),f295(f295(f218(x103052),x103051),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103052),x103053),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))))) % 192.26/192.34 [10373]~P119(x103731)+P1(f295(f295(f207(x103731),f2(x103731)),x103732))+~P1(f295(f295(f207(x103731),f2(x103731)),f295(f295(f218(x103731),x103732),f295(a119,f295(f295(f84(a902),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),x103733))))) % 192.26/192.34 [5659]~P23(x56591,x56594,x56593)+P23(x56591,x56592,x56593)+~P23(x56591,x56592,x56594) % 192.26/192.34 [5122]~E(x51222,f93(x51223,x51221))+P1(f295(x51221,x51222))+~P1(f295(x51221,x51224)) % 192.26/192.34 [5370]E(f69(x53703,x53702,x53704),x53702)+E(x53701,f413(x53702,x53703,x53704))+~P1(f295(x53704,x53701)) % 192.26/192.34 [6664]E(f69(x66641,x66642,x66643),f88(x66641,x66643))+~E(f414(x66642,x66641,x66643,x66644),x66644)+~P1(f295(x66643,x66644)) % 192.26/192.34 [6866]~P36(x68662,x68664)+~P36(x68661,x68663)+P36(f910(x68661,x68662),f288(x68661,x68662,x68663,x68664)) % 192.26/192.34 [6867]~P37(x68672,x68674)+~P37(x68671,x68673)+P37(f910(x68671,x68672),f288(x68671,x68672,x68673,x68674)) % 192.26/192.34 [5309]~P8(x53094,x53091)+~E(f295(x53091,x53092),f295(x53091,x53093))+P1(f295(f295(x53091,x53092),x53093)) % 192.26/192.34 [5473]~P14(x54734,x54731)+E(f295(x54731,x54732),f295(x54731,x54733))+~P1(f295(f295(x54731,x54732),x54733)) % 192.26/192.34 [5474]~P8(x54744,x54741)+E(f295(x54741,x54742),f295(x54741,x54743))+~P1(f295(f295(x54741,x54742),x54743)) % 192.26/192.34 [5566]~P17(x55663,x55664,x55661)+E(f295(x55661,x55662),f295(f64(x55663,x55664),x55662))+~P1(f295(f62(x55663),x55662)) % 192.26/192.34 [5567]~P4(x55673,x55674,x55671)+E(f295(x55671,x55672),f295(f64(x55673,x55674),x55672))+~P1(f295(f62(x55673),x55672)) % 192.26/192.34 [5692]~P46(x56924,x56921)+~P1(f295(f295(x56921,x56923),x56922))+P1(f295(f295(x56921,x56922),x56923)) % 192.26/192.34 [5693]~P14(x56934,x56931)+~P1(f295(f295(x56931,x56933),x56932))+P1(f295(f295(x56931,x56932),x56933)) % 192.26/192.34 [5694]~P8(x56944,x56941)+~P1(f295(f295(x56941,x56943),x56942))+P1(f295(f295(x56941,x56942),x56943)) % 192.26/192.34 [5695]~P14(x56953,x56951)+P1(f295(f295(x56951,x56952),x56952))+~P1(f295(f295(x56951,x56954),x56952)) % 192.26/192.34 [5696]~P14(x56963,x56961)+P1(f295(f295(x56961,x56962),x56962))+~P1(f295(f295(x56961,x56962),x56964)) % 192.26/192.34 [5763]E(x57631,x57632)+~E(f295(f216(x57633,x57634),x57631),f295(f216(x57633,x57634),x57632))+~E(f295(f227(x57633,x57634),x57631),f295(f227(x57633,x57634),x57632)) % 192.26/192.34 [5790]E(x57901,x57902)+~P1(f295(f49(x57903,x57904),x57902))+~P1(f295(f49(x57903,x57904),x57901)) % 192.26/192.34 [5979]~P77(x59792)+E(f203(x59791,x59792,x59793,x59794),f2(x59792))+P1(f295(f62(x59791),x59794)) % 192.26/192.34 [6024]~P8(x60243,x60242)+~P1(f295(x60241,x60244))+P1(f295(x60241,f302(x60241,x60242,x60243))) % 192.26/192.34 [6116]~P1(f295(f284(x61161,x61162),x61164))+P1(f295(f284(x61161,x61162),x61163))+~P1(f295(f295(x61162,x61163),x61164)) % 192.26/192.34 [6468]~P8(x64683,x64684)+P1(f295(x64681,x64682))+~P1(f295(x64681,f673(x64681,x64684,x64683))) % 192.26/192.34 [6538]P53(x65381,x65382,x65383,x65384)+P1(f295(f295(x65382,x65384),x65383))+~P1(f295(f295(x65382,x65383),x65384)) % 192.26/192.34 [7043]~P8(x70433,x70434)+P1(f295(x70431,x70432))+P1(f295(f295(f297(x70433),f673(x70431,x70434,x70433)),f236(x70433,x70434))) % 192.26/192.34 [7088]~P8(x70881,x70883)+~P1(f295(x70882,x70884))+P1(f295(f295(f297(x70881),f302(x70882,x70883,x70881)),f236(x70881,x70883))) % 192.26/192.34 [8057]~P114(x80572)+~P1(f295(f126(x80571),x80574))+P1(f295(f126(x80571),f139(x80571,x80572,x80573,x80574))) % 192.26/192.34 [8102]E(f69(x81021,x81022,x81023),f88(x81021,x81023))+~P1(f295(x81023,x81024))+P1(f295(x81023,f414(x81022,x81021,x81023,x81024))) % 192.26/192.34 [8289]~P1(f295(f62(x82892),x82894))+~P1(f295(f62(x82891),x82893))+P1(f295(f62(f912(x82891,x82892)),f282(x82891,x82892,x82893,x82894))) % 192.26/192.34 [8290]~P1(f295(f126(x82902),x82904))+~P1(f295(f126(x82901),x82903))+P1(f295(f126(f910(x82901,x82902)),f60(x82901,x82902,x82903,x82904))) % 192.26/192.34 [8293]P1(f295(f295(f297(f903(x82931)),f295(f295(f122(x82931),x82932),x82933)),f150(x82931,x82934)))+~P1(f295(f295(f297(f903(x82931)),x82933),f150(x82931,x82934)))+~P1(f295(f295(f297(f903(x82931)),x82932),f150(x82931,x82934))) % 192.26/192.34 [8615]~P114(x86153)+~P1(f295(f126(x86151),f139(x86151,x86153,x86154,x86152)))+P1(f295(f126(x86151),x86152)) % 192.26/192.34 [8908]~P1(f295(f295(f297(f910(x89081,x89081)),f295(f295(f217(x89081,x89081),x89082),x89084)),f273(x89081,x89083)))+P1(f295(f295(f297(x89081),x89082),f285(x89081,x89083)))+~P1(f295(f295(f297(x89081),x89084),f285(x89081,x89083))) % 192.26/192.34 [10051]P42(x100511,x100512,x100513,x100514)+~E(f295(f295(x100513,f36(x100511)),f860(x100514,x100513,x100512,x100511)),f860(x100514,x100513,x100512,x100511))+~E(f295(f295(x100513,f295(f16(x100511,x100511),f295(f861(x100514,x100513,x100512,x100511),f295(x100514,f862(x100514,x100513,x100512,x100511))))),f862(x100514,x100513,x100512,x100511)),f295(f295(x100513,f861(x100514,x100513,x100512,x100511)),f862(x100514,x100513,x100512,x100511))) % 192.26/192.34 [5293]~P77(x52932)+E(f295(f295(f6(x52931,x52932),x52933),x52934),f2(x52932))+P1(f295(f62(x52931),x52934)) % 192.26/192.34 [5296]~P83(x52962)+E(f295(f295(f9(x52961,x52962),x52963),x52964),f81(x52962))+P1(f295(f62(x52961),x52964)) % 192.26/192.34 [5434]~P78(x54343)+E(x54341,x54342)+~E(f295(f295(f83(x54343),x54344),x54341),f295(f295(f83(x54343),x54344),x54342)) % 192.26/192.34 [5435]~P79(x54353)+E(x54351,x54352)+~E(f295(f295(f83(x54353),x54354),x54351),f295(f295(f83(x54353),x54354),x54352)) % 192.26/192.34 [5437]~P78(x54373)+E(x54371,x54372)+~E(f295(f295(f83(x54373),x54371),x54374),f295(f295(f83(x54373),x54372),x54374)) % 192.26/192.34 [5562]~P6(x55623)+E(x55621,f176(f911(x55622,a897)))+E(f295(f295(f43(x55622,x55623),x55621),f295(f16(x55623,x55622),x55624)),x55624) % 192.26/192.34 [5563]~P6(x55633)+E(x55631,f176(f911(x55632,a897)))+E(f295(f295(f44(x55632,x55633),x55631),f295(f16(x55633,x55632),x55634)),x55634) % 192.26/192.34 [5776]~P116(x57763)+E(x57761,x57762)+~E(f269(x57763,x57764,x57761),f295(f295(f275(x57763),x57762),f176(f911(x57763,a897)))) % 192.26/192.34 [5777]~P116(x57773)+E(x57771,x57772)+~E(f269(x57773,x57771,x57772),f295(f295(f275(x57773),x57774),f176(f911(x57773,a897)))) % 192.26/192.34 [5937]~P30(x59371,x59372,x59374)+~P1(f295(x59372,x59373))+P30(x59371,x59372,f295(f295(f140(x59371),x59373),x59374)) % 192.26/192.34 [6071]P1(f295(x60711,x60712))+~P1(f295(f223(x60713,x60711),x60714))+~P1(f295(f295(f297(x60713),x60712),x60714)) % 192.26/192.34 [6080]~P30(x60801,x60802,x60804)+~P30(x60801,x60802,x60803)+P30(x60801,x60802,f295(f295(f122(x60801),x60803),x60804)) % 192.26/192.34 [6094]P33(x60941,x60942,x60943)+~P33(x60941,x60942,f295(f295(f140(x60941),x60944),x60943))+P1(f295(x60942,x60944)) % 192.26/192.34 [6106]E(x61061,x61062)+~P1(f295(f295(f182(x61063),x61064),x61062))+~P1(f295(f295(f182(x61063),x61064),x61061)) % 192.26/192.34 [6170]P33(x61701,x61702,x61703)+P33(x61701,x61702,x61704)+~P33(x61701,x61702,f295(f295(f122(x61701),x61704),x61703)) % 192.26/192.34 [6189]~P77(x61891)+E(f295(f295(f6(a902,x61891),x61892),f295(f268(a902,x61893),f295(a119,x61894))),f2(x61891))+~P1(f295(f295(f208(a902),x61894),x61893)) % 192.26/192.34 [6194]~P70(x61941)+~E(f46(x61941,x61942,x61943),f46(x61941,x61944,x61943))+E(f46(x61941,f295(f82(x61941),x61942),x61943),f46(x61941,f295(f82(x61941),x61944),x61943)) % 192.26/192.34 [6261]P1(f295(x62611,x62612))+~E(f295(f125(x62613,x62611),x62614),x62614)+~P1(f295(f295(f297(x62613),x62612),f295(f160(x62613),x62614))) % 192.26/192.34 [6279]~E(f295(f295(f83(a902),x62793),x62792),f295(f295(f83(a902),x62791),x62794))+~P1(f295(f295(f208(a902),x62793),x62794))+P1(f295(f295(f208(a902),x62791),x62792)) % 192.26/192.34 [6285]P33(x62851,x62852,x62853)+~P1(f295(x62852,x62854))+~P1(f295(f295(f297(x62851),x62854),f295(f160(x62851),x62853))) % 192.26/192.34 [6321]~P30(x63213,x63211,x63214)+P1(f295(x63211,x63212))+~P1(f295(f295(f297(x63213),x63212),f295(f160(x63213),x63214))) % 192.26/192.34 [6323]~E(f295(f125(x63231,x63232),x63233),f120(x63231))+~P1(f295(x63232,x63234))+~P1(f295(f295(f297(x63231),x63234),f295(f160(x63231),x63233))) % 192.26/192.34 [6324]~E(f164(x63243,x63241,x63244),x63244)+P1(f295(x63241,x63242))+~P1(f295(f295(f297(x63243),x63242),f295(f160(x63243),x63244))) % 192.26/192.34 [6350]~E(x63504,f176(f911(x63502,a897)))+~E(x63503,f176(f911(x63501,a897)))+E(f282(x63501,x63502,x63503,x63504),f176(f911(f912(x63501,x63502),a897))) % 192.26/192.34 [6496]P1(f295(x64961,x64962))+~P1(f295(f149(x64963,x64961),x64964))+~P1(f295(f295(f297(x64963),x64962),f295(f160(x64963),x64964))) % 192.26/192.34 [6766]~P77(x67661)+E(f295(f295(f6(a902,x67661),x67662),f269(a902,x67663,f295(a119,x67664))),f2(x67661))+~P1(f295(f295(f208(a902),f295(a119,x67664)),x67663)) % 192.26/192.34 [6901]~P114(x69011)+E(f295(f295(f23(f911(x69011,a897)),f295(f268(x69011,x69012),x69013)),f295(f268(x69011,x69012),x69014)),f295(f268(x69011,x69014),x69013))+~P1(f295(f295(f207(x69011),x69012),x69014)) % 192.26/192.34 [7252]~P1(f295(f295(f297(f903(x72521)),x72524),f150(x72521,x72523)))+P1(f295(f295(f297(x72521),x72522),x72523))+~P1(f295(f295(f297(x72521),x72522),f295(f160(x72521),x72524))) % 192.26/192.34 [7259]~P36(x72591,x72592)+P1(f295(f295(f297(x72591),f806(x72592,x72591,x72593)),x72593))+~P1(f295(f295(f297(x72591),x72594),x72593)) % 192.26/192.34 [7315]~P77(x73151)+E(f295(f295(f295(f66(x73151,x73152,f83(x73151)),x73153),f2(x73151)),x73154),f295(f295(f6(x73152,x73151),x73153),x73154))+~P1(f295(f62(x73152),x73154)) % 192.26/192.34 [7317]~P83(x73171)+E(f295(f295(f295(f66(x73171,x73172,f84(x73171)),x73173),f81(x73171)),x73174),f295(f295(f9(x73172,x73171),x73173),x73174))+~P1(f295(f62(x73172),x73174)) % 192.26/192.34 [7346]P24(x73461,x73462,x73463,x73464)+~E(f295(f39(x73462),f295(f276(x73461,x73462,x73463),x73464)),f295(f39(x73461),x73464))+~P1(f295(f62(x73461),x73464)) % 192.26/192.34 [7538]~P77(x75381)+E(f295(f295(f83(x75381),f295(x75382,x75383)),f295(f295(f6(a902,x75381),x75382),f271(a902,x75383,x75384))),f295(f295(f6(a902,x75381),x75382),f269(a902,x75383,x75384)))+~P1(f295(f295(f207(a902),x75383),x75384)) % 192.26/192.34 [7548]~P77(x75481)+~P24(x75482,x75481,x75483,x75484)+E(f295(f295(f6(x75481,x75481),f36(x75481)),f295(f276(x75482,x75481,x75483),x75484)),f295(f295(f6(x75482,x75481),x75483),x75484)) % 192.26/192.34 [7549]~P83(x75491)+~P24(x75492,x75491,x75493,x75494)+E(f295(f295(f9(x75491,x75491),f36(x75491)),f295(f276(x75492,x75491,x75493),x75494)),f295(f295(f9(x75492,x75491),x75493),x75494)) % 192.26/192.34 [7597]E(f295(f39(f912(x75971,x75972)),f282(x75971,x75972,x75973,x75974)),f295(f295(f83(a902),f295(f39(x75971),x75973)),f295(f39(x75972),x75974)))+~P1(f295(f62(x75972),x75974))+~P1(f295(f62(x75971),x75973)) % 192.26/192.34 [7677]E(x76771,x76772)+P1(f295(f295(f297(x76773),x76771),f295(f160(x76773),f158(x76773,x76772,x76774))))+~P1(f295(f295(f297(x76773),x76771),f295(f160(x76773),x76774))) % 192.26/192.34 [7904]~P77(x79041)+E(f295(f295(f83(x79041),f295(f295(f6(a902,x79041),x79042),f295(f268(a902,x79043),x79044))),f295(x79042,x79044)),f295(f295(f6(a902,x79041),x79042),f295(f268(a902,x79043),f295(a119,x79044))))+P1(f295(f295(f208(a902),x79044),x79043)) % 192.26/192.34 [7958]~P24(x79581,x79582,x79583,f214(f911(x79581,a897)))+~P1(f295(f62(x79582),x79584))+P1(f295(f62(x79581),f295(f278(x79581,x79582,x79583),x79584))) % 192.26/192.34 [8072]P1(f295(f295(f297(f903(x80721)),f295(f295(f140(x80721),x80722),x80723)),f150(x80721,x80724)))+~P1(f295(f295(f297(f903(x80721)),x80723),f150(x80721,x80724)))+~P1(f295(f295(f297(x80721),x80722),x80724)) % 192.26/192.34 [8166]~E(f295(f276(x81663,x81661,x81664),f214(f911(x81663,a897))),f214(f911(x81661,a897)))+P1(f295(f62(x81661),x81662))+~P1(f295(f62(x81663),f295(f278(x81663,x81661,x81664),x81662))) % 192.26/192.34 [8263]~P24(x82631,x82633,x82634,x82632)+P1(f295(f62(x82631),x82632))+~P1(f295(f62(x82633),f295(f276(x82631,x82633,x82634),x82632))) % 192.26/192.34 [8283]~E(x82832,x82833)+P1(f295(f295(f297(f910(x82831,x82831)),f295(f295(f217(x82831,x82831),x82832),x82833)),f213(x82831,x82834)))+~P1(f295(f295(f297(x82831),x82832),x82834)) % 192.26/192.34 [8317]~P77(x83171)+E(f295(f295(f83(x83171),f295(f295(f6(a902,x83171),x83172),f269(a902,x83173,x83174))),f295(x83172,f295(a119,x83174))),f295(f295(f6(a902,x83171),x83172),f269(a902,x83173,f295(a119,x83174))))+P1(f295(f295(f208(a902),f295(a119,x83174)),x83173)) % 192.26/192.34 [8378]P1(f295(x83781,x83782))+~P1(f295(x83781,f295(f295(f153(x83783),x83784),f668(x83781,x83784,x83783))))+~P1(f295(f295(f297(x83783),x83782),f295(f160(x83783),x83784))) % 192.26/192.34 [8516]~P1(f295(f295(f297(x85161),x85162),f285(x85161,x85164)))+P1(f295(f295(f297(f903(x85161)),f295(f295(f140(x85161),x85162),x85163)),f285(f903(x85161),f146(x85161,x85164))))+~P1(f295(f295(f297(f903(x85161)),x85163),f285(f903(x85161),f146(x85161,x85164)))) % 192.26/192.34 [8532]~P24(x85322,x85323,x85324,f357(x85324,x85323,x85322,x85321))+P24(x85322,x85323,x85324,f42(f911(x85322,a897),x85321))+E(x85321,f176(f911(f911(x85322,a897),a897))) % 192.26/192.34 [8818]E(x88181,x88182)+~P1(f295(f295(f297(f910(x88183,x88183)),f295(f295(f217(x88183,x88183),x88181),x88182)),f273(x88183,x88184)))+P1(f295(f295(f297(x88183),x88181),f295(f215(x88183,x88183),x88184))) % 192.26/192.34 [9123]P24(x91232,x91233,x91234,f42(f911(x91232,a897),x91231))+E(x91231,f176(f911(f911(x91232,a897),a897)))+P1(f295(f295(f297(f911(x91232,a897)),f357(x91234,x91233,x91232,x91231)),x91231)) % 192.26/192.34 [9259]P1(f295(f62(x92591),x92592))+~P1(f295(f62(x92594),f295(f276(x92591,x92594,x92593),x92592)))+P1(f295(f295(f297(x92591),f563(x92593,x92594,x92592,x92591)),x92592)) % 192.26/192.34 [9351]~P6(x93512)+E(f295(f295(f65(x93511,x93512,f295(f295(f8(x93512,f911(x93512,x93512),x93511),f108(x93512)),x93513)),f214(x93512)),x93514),f295(f295(f43(x93511,x93512),x93514),x93513))+~P1(f295(f62(x93511),x93514)) % 192.26/192.34 [9352]~P6(x93522)+E(f295(f295(f65(x93521,x93522,f295(f295(f8(x93522,f911(x93522,x93522),x93521),f117(x93522)),x93523)),f176(x93522)),x93524),f295(f295(f44(x93521,x93522),x93524),x93523))+~P1(f295(f62(x93521),x93524)) % 192.26/192.34 [9434]P1(f295(x94341,x94342))+~P1(f295(x94341,f295(f295(f153(x94343),x94344),f695(x94342,x94341,x94344,x94343))))+~P1(f295(f295(f297(x94343),x94342),f295(f160(x94343),x94344))) % 192.26/192.34 [9453]E(x94531,x94532)+~P1(f295(f295(f297(f910(x94533,x94533)),f295(f295(f217(x94533,x94533),x94531),x94532)),f273(x94533,x94534)))+P1(f295(f295(f297(f910(x94533,x94533)),f295(f295(f217(x94533,x94533),x94531),x94532)),f295(f295(f255(x94533,x94533,x94533),x94534),f273(x94533,x94534)))) % 192.26/192.34 [9503]~E(f295(f177(f903(x95031)),x95032),f295(f177(f903(x95031)),x95033))+~P1(f295(f295(f297(f910(f903(x95031),f903(x95031))),f295(f295(f217(f903(x95031),f903(x95031)),x95032),x95033)),f136(x95031,x95034)))+P1(f295(f295(f297(f910(f903(x95031),f903(x95031))),f295(f295(f217(f903(x95031),f903(x95031)),x95032),x95033)),f134(x95031,x95034))) % 192.26/192.34 [9932]~P67(x99321)+E(f295(f295(f6(a902,x99321),f295(f295(f18(a902,x99321,x99321),f295(f295(f8(x99321,f911(x99321,x99321),a902),f23(x99321)),x99322)),f295(f295(f8(a902,x99321,a902),x99322),f295(f295(f7(a902,a902,a902),f83(a902)),f81(a902))))),f269(a902,x99323,x99324)),f2(x99321))+P1(f295(f295(f207(a902),x99323),x99324)) % 192.26/192.34 [10172]~P36(x101722,x101724)+~P24(x101722,x101721,x101723,f214(f911(x101722,a897)))+P36(x101721,f295(f276(f910(x101722,x101722),f910(x101721,x101721),f229(x101722,x101721,x101722,x101721,x101723,x101723)),x101724)) % 192.26/192.34 [10407]~E(f295(f177(f903(x104071)),x104073),f295(f177(f903(x104071)),x104072))+P1(f295(f295(f297(f910(f903(x104071),f903(x104071))),f295(f295(f217(f903(x104071),f903(x104071)),x104072),x104073)),f147(x104071,x104074)))+~P1(f295(f295(f228(x104071,x104071,a897),f295(f295(f7(x104071,f911(f910(x104071,x104071),a897),f911(x104071,a897)),f295(f295(f8(f911(x104071,f911(f911(f910(x104071,x104071),a897),a897)),f911(f911(f910(x104071,x104071),a897),f911(x104071,a897)),x104071),f7(x104071,f911(f910(x104071,x104071),a897),a897)),f295(f295(f8(f911(x104071,f910(x104071,x104071)),f911(x104071,f911(f911(f910(x104071,x104071),a897),a897)),x104071),f295(f8(f910(x104071,x104071),f911(f911(f910(x104071,x104071),a897),a897),x104071),f297(f910(x104071,x104071)))),f217(x104071,x104071)))),x104074)),f669(x104074,x104073,x104072,x104071))) % 192.26/192.34 [6155]~E(x61554,x61552)+P1(f295(x61551,x61552))+P1(f295(f295(f182(f32(x61551,x61553)),x61552),x61554)) % 192.26/192.34 [6242]~P69(x62421)+~E(x62422,f2(x62421))+E(f295(f295(f40(x62421),f295(f295(f84(x62421),x62422),x62423)),f295(f295(f84(x62421),x62422),x62424)),f2(x62421)) % 192.26/192.34 [6282]E(x62821,f120(x62822))+E(x62823,f295(f295(f23(a902),f295(f177(f903(x62822)),x62821)),f81(a902)))+E(f133(x62822,f295(f295(f148(x62822,x62821),x62823),x62824)),f133(x62822,x62821)) % 192.26/192.34 [6312]E(x63121,x63122)+P1(f295(x63123,x63122))+~P1(f295(f295(f295(f275(x63124),x63121),x63123),x63122)) % 192.26/192.34 [6328]~P77(x63281)+~P1(f295(f126(x63282),x63284))+E(f295(f154(x63281),f295(f295(f143(x63282,x63281),x63283),x63284)),f295(f295(f6(x63282,x63281),x63283),f295(f160(x63282),x63284))) % 192.26/192.34 [6342]~P83(x63422)+~P1(f295(f62(x63421),x63424))+E(f295(f295(f9(x63421,x63422),f295(f16(x63422,x63421),x63423)),x63424),f295(f295(f218(x63422),x63423),f295(f39(x63421),x63424))) % 192.26/192.34 [6395]~P69(x63952)+E(x63951,f2(x63952))+E(f295(f295(f40(x63952),f295(f295(f84(x63952),x63953),x63951)),f295(f295(f84(x63952),x63954),x63951)),f295(f295(f40(x63952),x63953),x63954)) % 192.26/192.34 [6397]~P72(x63972)+E(x63971,f2(x63972))+E(f295(f295(f256(x63972),f295(f295(f84(x63972),x63973),x63971)),f295(f295(f84(x63972),x63974),x63971)),f295(f295(f256(x63972),x63973),x63974)) % 192.26/192.34 [6398]~P72(x63982)+E(x63981,f2(x63982))+E(f295(f295(f256(x63982),f295(f295(f84(x63982),x63981),x63983)),f295(f295(f84(x63982),x63981),x63984)),f295(f295(f256(x63982),x63983),x63984)) % 192.26/192.34 [6399]~P69(x63992)+E(x63991,f2(x63992))+E(f295(f295(f40(x63992),f295(f295(f84(x63992),x63991),x63993)),f295(f295(f84(x63992),x63991),x63994)),f295(f295(f40(x63992),x63993),x63994)) % 192.26/192.34 [6465]P1(f295(x64651,x64652))+~E(x64653,f295(f295(f83(a902),x64654),x64652))+~P1(f295(x64651,f295(f295(f23(a902),x64653),x64654))) % 192.26/192.34 [6548]P28(x65481,x65482,x65483)+P29(x65481,f643(x65483,x65482,x65481),x65484)+~P1(f295(f295(f297(f901(x65481)),x65484),x65482)) % 192.26/192.34 [6550]~P1(f295(x65502,x65503))+~P1(f295(f149(x65501,x65502),x65504))+P1(f295(f149(x65501,x65502),f295(f295(f140(x65501),x65503),x65504))) % 192.26/192.34 [6593]E(x65931,f120(x65932))+~E(x65933,f295(f295(f23(a902),f295(f177(f903(x65932)),x65931)),f81(a902)))+E(f133(x65932,f295(f295(f148(x65932,x65931),x65933),x65934)),x65934) % 192.26/192.34 [6616]~P109(x66161)+~P1(f295(f295(f207(x66161),x66162),x66164))+P1(f295(f295(f207(x66161),x66162),f295(f295(f117(x66161),x66163),x66164))) % 192.26/192.34 [6617]~P109(x66171)+~P1(f295(f295(f207(x66171),x66172),x66173))+P1(f295(f295(f207(x66171),x66172),f295(f295(f117(x66171),x66173),x66174))) % 192.26/192.34 [6619]~P114(x66191)+~P1(f295(f295(f207(x66191),x66192),x66194))+P1(f295(f295(f207(x66191),x66192),f295(f295(f206(x66191),x66193),x66194))) % 192.26/192.34 [6621]~P114(x66211)+~P1(f295(f295(f207(x66211),x66212),x66213))+P1(f295(f295(f207(x66211),x66212),f295(f295(f206(x66211),x66213),x66214))) % 192.26/192.34 [6622]~P109(x66221)+~P1(f295(f295(f208(x66221),x66222),x66224))+P1(f295(f295(f208(x66221),x66222),f295(f295(f117(x66221),x66223),x66224))) % 192.26/192.34 [6623]~P109(x66231)+~P1(f295(f295(f208(x66231),x66232),x66233))+P1(f295(f295(f208(x66231),x66232),f295(f295(f117(x66231),x66233),x66234))) % 192.26/192.34 [6625]~P114(x66251)+~P1(f295(f295(f208(x66251),x66252),x66254))+P1(f295(f295(f208(x66251),x66252),f295(f295(f206(x66251),x66253),x66254))) % 192.26/192.34 [6627]~P114(x66271)+~P1(f295(f295(f208(x66271),x66272),x66273))+P1(f295(f295(f208(x66271),x66272),f295(f295(f206(x66271),x66273),x66274))) % 192.26/192.34 [6712]~E(f295(f295(f153(x67121),x67122),x67123),x67124)+E(f295(f295(f148(x67121,x67122),x67123),x67124),x67122)+~P1(f295(f295(f208(a902),x67123),f295(f177(f903(x67121)),x67122))) % 192.26/192.34 [6729]E(x67291,x67292)+P1(f295(x67293,x67291))+~P1(f295(f295(f182(f32(x67293,x67294)),x67291),x67292)) % 192.26/192.34 [6752]P1(f295(x67521,x67522))+~P1(f295(x67523,x67522))+~P1(f295(f295(f207(f911(x67524,a897)),x67523),x67521)) % 192.26/192.34 [6785]~E(f295(f295(f148(x67851,x67852),x67853),x67854),x67852)+E(f295(f295(f153(x67851),x67852),x67853),x67854)+~P1(f295(f295(f208(a902),x67853),f295(f177(f903(x67851)),x67852))) % 192.26/192.34 [6799]~P1(f295(f149(x67991,x67992),x67994))+~P1(f295(f149(x67991,x67992),x67993))+P1(f295(f149(x67991,x67992),f295(f295(f122(x67991),x67993),x67994))) % 192.26/192.34 [6898]E(x68981,f176(f911(x68982,a897)))+E(x68983,f176(f911(x68984,a897)))+~E(f295(f295(f226(x68984,x68982),x68983),f295(f16(f911(x68982,a897),x68984),x68981)),f176(f911(f910(x68984,x68982),a897))) % 192.26/192.34 [6917]E(x69171,x69172)+P1(f295(f295(f297(x69173),x69171),x69174))+~P1(f295(f295(f297(x69173),x69171),f295(f295(f275(x69173),x69172),x69174))) % 192.26/192.34 [6934]~P114(x69341)+P1(f295(f295(f207(x69341),x69342),x69343))+~P1(f295(f295(f207(x69341),x69342),f295(f295(f205(x69341),x69344),x69343))) % 192.26/192.34 [6936]~P114(x69361)+P1(f295(f295(f207(x69361),x69362),x69363))+~P1(f295(f295(f207(x69361),x69362),f295(f295(f205(x69361),x69363),x69364))) % 192.26/192.34 [6938]~P110(x69381)+P1(f295(f295(f207(x69381),x69382),x69383))+~P1(f295(f295(f207(x69381),x69382),f295(f295(f108(x69381),x69384),x69383))) % 192.26/192.34 [6940]~P110(x69401)+P1(f295(f295(f207(x69401),x69402),x69403))+~P1(f295(f295(f207(x69401),x69402),f295(f295(f108(x69401),x69403),x69404))) % 192.26/192.34 [6941]~P114(x69411)+P1(f295(f295(f208(x69411),x69412),x69413))+~P1(f295(f295(f208(x69411),x69412),f295(f295(f205(x69411),x69414),x69413))) % 192.26/192.34 [6942]~P114(x69421)+P1(f295(f295(f208(x69421),x69422),x69423))+~P1(f295(f295(f208(x69421),x69422),f295(f295(f205(x69421),x69423),x69424))) % 192.26/192.34 [6963]~E(f295(f295(f153(x69631),x69633),x69634),x69632)+P1(f295(f295(f297(x69631),x69632),f295(f160(x69631),x69633)))+~P1(f295(f295(f208(a902),x69634),f295(f177(f903(x69631)),x69633))) % 192.26/192.34 [6972]~P114(x69721)+~P12(x69721,f295(f295(f140(x69721),x69722),f295(f295(f140(x69721),x69723),x69724)))+P1(f295(f295(f207(x69721),x69722),x69723)) % 192.26/192.34 [7115]~P30(x71152,x71151,x71153)+P1(f295(x71151,f295(f295(f153(x71152),x71153),x71154)))+~P1(f295(f295(f208(a902),x71154),f295(f177(f903(x71152)),x71153))) % 192.26/192.34 [7134]E(x71341,f2(a1))+E(f295(f295(f40(a1),x71342),x71341),x71343)+~P1(f295(f50(x71342,x71341),f295(f295(f217(a1,a1),x71343),x71344))) % 192.26/192.34 [7155]E(f46(a1,x71552,x71551),x71553)+E(x71551,f2(a1))+~P1(f295(f50(x71552,x71551),f295(f295(f217(a1,a1),x71554),x71553))) % 192.26/192.34 [7276]P1(f295(f295(f297(x72761),x72762),x72763))+~P1(f295(f295(f297(x72761),x72762),x72764))+~P1(f295(f295(f208(f911(x72761,a897)),x72764),x72763)) % 192.26/192.34 [7277]P1(f295(f295(f297(x72771),x72772),x72773))+~P1(f295(f295(f297(x72771),x72772),x72774))+~P1(f295(f295(f207(f911(x72771,a897)),x72774),x72773)) % 192.26/192.34 [7390]P33(x73901,x73902,x73903)+~P1(f295(x73902,f295(f295(f153(x73901),x73903),x73904)))+~P1(f295(f295(f208(a902),x73904),f295(f177(f903(x73901)),x73903))) % 192.26/192.34 [7504]~P113(x75042)+~P1(f295(f295(f208(f911(x75041,x75042)),x75043),x75044))+P1(f295(f295(f207(f911(x75041,x75042)),x75043),x75044)) % 192.26/192.34 [7586]~P23(x75861,x75862,x75864)+P23(x75861,x75862,f295(f295(f275(f901(x75861)),x75863),x75864))+~P23(x75861,x75862,f295(f295(f275(f901(x75861)),x75863),f176(f911(f901(x75861),a897)))) % 192.26/192.34 [7630]~P1(f295(f295(f297(x76301),x76302),x76304))+P1(f295(f295(f297(x76301),x76302),f41(f911(x76301,a897),x76303)))+~P1(f295(f295(f297(f911(x76301,a897)),x76304),x76303)) % 192.26/192.34 [7657]~P92(x76571)+~P1(f295(f295(f207(x76571),x76573),x76574))+P1(f295(f295(f207(x76571),f295(f295(f83(x76571),x76572),x76573)),f295(f295(f83(x76571),x76572),x76574))) % 192.26/192.34 [7658]~P95(x76581)+~P1(f295(f295(f207(x76581),x76583),x76584))+P1(f295(f295(f207(x76581),f295(f295(f83(x76581),x76582),x76583)),f295(f295(f83(x76581),x76582),x76584))) % 192.26/192.34 [7659]~P92(x76591)+~P1(f295(f295(f207(x76591),x76592),x76594))+P1(f295(f295(f207(x76591),f295(f295(f83(x76591),x76592),x76593)),f295(f295(f83(x76591),x76594),x76593))) % 192.26/192.34 [7660]~P95(x76601)+~P1(f295(f295(f207(x76601),x76602),x76604))+P1(f295(f295(f207(x76601),f295(f295(f83(x76601),x76602),x76603)),f295(f295(f83(x76601),x76604),x76603))) % 192.26/192.34 [7661]~P94(x76611)+~P1(f295(f295(f208(x76611),x76613),x76614))+P1(f295(f295(f208(x76611),f295(f295(f83(x76611),x76612),x76613)),f295(f295(f83(x76611),x76612),x76614))) % 192.26/192.34 [7662]~P95(x76621)+~P1(f295(f295(f208(x76621),x76623),x76624))+P1(f295(f295(f208(x76621),f295(f295(f83(x76621),x76622),x76623)),f295(f295(f83(x76621),x76622),x76624))) % 192.26/192.34 [7663]~P94(x76631)+~P1(f295(f295(f208(x76631),x76632),x76634))+P1(f295(f295(f208(x76631),f295(f295(f83(x76631),x76632),x76633)),f295(f295(f83(x76631),x76634),x76633))) % 192.26/192.34 [7664]~P95(x76641)+~P1(f295(f295(f208(x76641),x76642),x76644))+P1(f295(f295(f208(x76641),f295(f295(f83(x76641),x76642),x76643)),f295(f295(f83(x76641),x76644),x76643))) % 192.26/192.34 [7671]~P130(x76711)+~P105(x76711)+E(f295(f295(f23(x76711),f295(f295(f84(x76711),x76712),f295(f110(x76711),x76713))),f295(f295(f84(x76711),x76714),f295(f110(x76711),x76713))),f295(f295(f84(x76711),f295(f295(f23(x76711),x76712),x76714)),f295(f110(x76711),x76713))) % 192.26/192.34 [7672]~P148(x76721)+~P105(x76721)+E(f295(f295(f83(x76721),f295(f295(f84(x76721),x76722),f295(f110(x76721),x76723))),f295(f295(f84(x76721),x76724),f295(f110(x76721),x76723))),f295(f295(f84(x76721),f295(f295(f83(x76721),x76722),x76724)),f295(f110(x76721),x76723))) % 192.26/192.34 [7708]~P77(x77081)+E(f295(f295(f83(x77081),f295(x77082,x77083)),f295(f295(f6(a902,x77081),x77082),f269(a902,f295(a119,x77083),x77084))),f295(f295(f6(a902,x77081),x77082),f269(a902,x77083,x77084)))+~P1(f295(f295(f207(a902),x77083),x77084)) % 192.26/192.34 [7719]~P24(x77192,x77191,x77193,f295(f160(x77192),x77194))+~P1(f295(f126(x77192),x77194))+P1(f295(f126(x77191),f295(f295(f143(x77192,x77191),x77193),x77194))) % 192.26/192.34 [7766]~P1(f295(f295(f207(a902),x77662),x77664))+~P1(f295(f295(f207(a902),x77661),x77663))+P1(f295(f295(f207(a902),f295(f295(f83(a902),x77661),x77662)),f295(f295(f83(a902),x77663),x77664))) % 192.26/192.34 [7767]~P1(f295(f295(f207(a902),x77672),x77674))+~P1(f295(f295(f207(a902),x77671),x77673))+P1(f295(f295(f207(a902),f295(f295(f84(a902),x77671),x77672)),f295(f295(f84(a902),x77673),x77674))) % 192.26/192.34 [7770]~P1(f295(f295(f208(a902),x77702),x77704))+~P1(f295(f295(f208(a902),x77701),x77703))+P1(f295(f295(f208(a902),f295(f295(f83(a902),x77701),x77702)),f295(f295(f83(a902),x77703),x77704))) % 192.26/192.34 [7771]~P1(f295(f295(f207(a1),x77712),x77714))+~P1(f295(f295(f208(a1),x77711),x77713))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x77711),x77712)),f295(f295(f83(a1),x77713),x77714))) % 192.26/192.34 [7819]P1(f295(f295(f297(x78191),x78192),x78193))+~P1(f295(f295(f297(x78191),x78192),f42(f911(x78191,a897),x78194)))+~P1(f295(f295(f297(f911(x78191,a897)),x78193),x78194)) % 192.26/192.34 [7834]~P1(f295(x78341,f666(x78341,x78343,x78342)))+P1(f295(x78341,f295(f295(f153(x78342),x78343),x78344)))+~P1(f295(f295(f208(a902),x78344),f295(f177(f903(x78342)),x78343))) % 192.26/192.34 [7840]P1(f295(x78401,x78402))+~P1(f295(f295(f297(x78404),x78402),f295(f160(x78404),x78403)))+P1(f295(f295(f208(a902),f668(x78401,x78403,x78404)),f295(f177(f903(x78404)),x78403))) % 192.26/192.34 [7860]~P1(f295(f295(f182(x78602),x78603),x78604))+~P1(f295(f295(f182(f32(x78601,x78602)),x78604),x78603))+P1(f295(f295(f182(f32(x78601,x78602)),x78603),x78603)) % 192.26/192.34 [7890]~P113(x78901)+~P1(f295(f295(f208(f911(x78902,x78901)),x78904),x78903))+~P1(f295(f295(f207(f911(x78902,x78901)),x78903),x78904)) % 192.26/192.34 [7933]~P1(f295(x79334,x79332))+~P1(f295(f295(f297(x79331),x79332),x79333))+P1(f295(f295(f297(x79331),x79332),f295(f295(f108(f911(x79331,a897)),x79333),f295(f212(x79331),x79334)))) % 192.26/192.34 [8079]~P1(f295(f295(f297(x80791),x80793),x80794))+~P1(f295(f295(f208(f911(x80791,a897)),x80792),x80794))+P1(f295(f295(f208(f911(x80791,a897)),x80792),f295(f295(f275(x80791),x80793),x80794))) % 192.26/192.34 [8082]E(f295(f295(f108(f911(x80821,a897)),x80822),x80823),f176(f911(x80821,a897)))+~E(f295(f295(f108(f911(x80821,a897)),f41(f911(x80821,a897),x80824)),x80823),f176(f911(x80821,a897)))+~P1(f295(f295(f297(f911(x80821,a897)),x80822),x80824)) % 192.26/192.34 [8162]P1(f295(f295(f297(x81621),x81622),x81623))+~P1(f295(f295(f207(f911(x81621,a897)),x81623),f295(f295(f275(x81621),x81622),x81624)))+P1(f295(f295(f207(f911(x81621,a897)),x81623),x81624)) % 192.26/192.34 [8183]P1(f295(f295(f297(x81832),f666(x81831,x81833,x81832)),f295(f160(x81832),x81833)))+P1(f295(x81831,f295(f295(f153(x81832),x81833),x81834)))+~P1(f295(f295(f208(a902),x81834),f295(f177(f903(x81832)),x81833))) % 192.26/192.34 [8191]~P1(f295(f295(f207(f911(x81911,a897)),x81912),x81914))+P1(f295(f295(f207(f911(x81911,a897)),x81912),x81913))+~P1(f295(f295(f207(f911(x81911,a897)),x81914),x81913)) % 192.26/192.34 [8192]~P1(f295(f295(f208(f911(x81921,a897)),x81922),x81924))+~P1(f295(f295(f207(f911(x81921,a897)),x81924),x81923))+P1(f295(f295(f208(f911(x81921,a897)),x81922),x81923)) % 192.26/192.34 [8193]~P1(f295(f295(f207(f911(x81931,a897)),x81932),x81934))+~P1(f295(f295(f208(f911(x81931,a897)),x81934),x81933))+P1(f295(f295(f208(f911(x81931,a897)),x81932),x81933)) % 192.26/192.34 [8194]~P1(f295(f295(f208(f911(x81941,a897)),x81942),x81944))+P1(f295(f295(f208(f911(x81941,a897)),x81942),x81943))+~P1(f295(f295(f208(f911(x81941,a897)),x81944),x81943)) % 192.26/192.34 [8238]~P1(f295(f295(f297(x82381),x82384),x82383))+~P1(f295(f295(f208(f911(x82381,a897)),x82382),f295(f295(f275(x82381),x82384),x82383)))+P1(f295(f295(f208(f911(x82381,a897)),x82382),x82383)) % 192.26/192.34 [8249]~P95(x82491)+P1(f295(f295(f207(x82491),x82492),x82493))+~P1(f295(f295(f207(x82491),f295(f295(f83(x82491),x82494),x82492)),f295(f295(f83(x82491),x82494),x82493))) % 192.26/192.34 [8251]~P95(x82511)+P1(f295(f295(f207(x82511),x82512),x82513))+~P1(f295(f295(f207(x82511),f295(f295(f83(x82511),x82512),x82514)),f295(f295(f83(x82511),x82513),x82514))) % 192.26/192.34 [8253]~P95(x82531)+P1(f295(f295(f208(x82531),x82532),x82533))+~P1(f295(f295(f208(x82531),f295(f295(f83(x82531),x82534),x82532)),f295(f295(f83(x82531),x82534),x82533))) % 192.26/192.34 [8255]~P95(x82551)+P1(f295(f295(f208(x82551),x82552),x82553))+~P1(f295(f295(f208(x82551),f295(f295(f83(x82551),x82552),x82554)),f295(f295(f83(x82551),x82553),x82554))) % 192.26/192.34 [8299]P1(f295(x82991,x82992))+~E(f295(f295(f127(x82993),f295(f177(f903(x82993)),f164(x82993,x82991,x82994))),x82994),f120(x82993))+~P1(f295(f295(f297(x82993),x82992),f295(f160(x82993),x82994))) % 192.26/192.34 [8421]P1(f295(x84211,x84212))+~P1(f295(f295(f297(x84213),x84212),f295(f160(x84213),x84214)))+P1(f295(f295(f208(a902),f295(f177(f903(x84213)),f295(f125(x84213,x84211),x84214))),f295(f177(f903(x84213)),x84214))) % 192.26/192.34 [8548]E(x85481,x85482)+P1(f295(f295(f182(x85483),x85481),f361(x85482,x85481,x85483,x85484)))+~P1(f295(f295(f182(f32(x85484,x85483)),x85481),x85482)) % 192.26/192.34 [8576]~P1(f295(x85764,x85762))+P1(f295(f295(f182(x85761),x85762),f361(x85763,x85762,x85761,x85764)))+~P1(f295(f295(f182(f32(x85764,x85761)),x85762),x85763)) % 192.26/192.34 [8925]~P1(f295(x89251,f798(x89251,x89253,x89252,x89254)))+P1(f295(x89251,f295(f295(f153(x89252),x89253),x89254)))+~P1(f295(f295(f208(a902),x89254),f295(f177(f903(x89252)),x89253))) % 192.26/192.34 [8949]~P24(x89494,x89493,x89491,f214(f911(x89494,a897)))+E(f295(x89491,f351(x89492,x89491,x89493,x89494)),x89492)+~P1(f295(f295(f297(x89493),x89492),f295(f276(x89494,x89493,x89491),f214(f911(x89494,a897))))) % 192.26/192.34 [9019]E(f164(x90191,x90192,x90193),f295(f295(f161(x90191),x90194),x90193))+P1(f295(f295(f208(a902),f720(x90192,x90193,x90191,x90194)),x90194))+P1(f295(f295(f208(a902),x90194),f295(f177(f903(x90191)),x90193))) % 192.26/192.34 [9022]E(f164(x90221,x90222,x90223),f295(f295(f161(x90221),x90224),x90223))+P1(f295(f295(f208(a902),f720(x90222,x90223,x90221,x90224)),x90224))+P1(f295(x90222,f295(f295(f153(x90221),x90223),x90224))) % 192.26/192.34 [9059]P1(f295(x90591,x90592))+~P1(f295(f295(f297(x90594),x90592),f295(f160(x90594),x90593)))+P1(f295(f295(f208(a902),f695(x90592,x90591,x90593,x90594)),f295(f177(f903(x90594)),x90593))) % 192.26/192.34 [9063]E(f164(x90631,x90632,x90633),f295(f295(f161(x90631),x90634),x90633))+P1(f295(f295(f208(a902),x90634),f295(f177(f903(x90631)),x90633)))+P1(f295(f295(f208(a902),f720(x90632,x90633,x90631,x90634)),f295(f177(f903(x90631)),x90633))) % 192.26/192.34 [9070]E(f164(x90701,x90702,x90703),f295(f295(f161(x90701),x90704),x90703))+P1(f295(x90702,f295(f295(f153(x90701),x90703),x90704)))+P1(f295(f295(f208(a902),f720(x90702,x90703,x90701,x90704)),f295(f177(f903(x90701)),x90703))) % 192.26/192.34 [9098]~P131(x90984)+P1(f295(f295(f297(x90981),f836(x90982,x90983,x90981,x90984)),x90983))+P1(f295(f295(f208(x90984),f2(x90984)),f295(f295(f9(x90981,x90984),x90982),x90983))) % 192.26/192.34 [9125]~P1(f295(f62(x91251),x91254))+P1(f295(f295(f297(x91251),f614(x91252,x91253,x91254,x91251)),x91254))+P1(f295(f62(f910(x91251,x91253)),f295(f295(f226(x91251,x91253),x91254),x91252))) % 192.26/192.34 [9162]P1(f295(f295(f297(x91622),f798(x91621,x91623,x91622,x91624)),f295(f160(x91622),x91623)))+P1(f295(x91621,f295(f295(f153(x91622),x91623),x91624)))+~P1(f295(f295(f208(a902),x91624),f295(f177(f903(x91622)),x91623))) % 192.26/192.34 [9178]E(x91781,x91782)+P1(f295(f295(f182(f32(x91783,x91784)),f361(x91781,x91782,x91784,x91783)),x91781))+~P1(f295(f295(f182(f32(x91783,x91784)),x91782),x91781)) % 192.26/192.34 [9200]~P1(f295(x92001,x92004))+P1(f295(f295(f182(f32(x92001,x92002)),f361(x92003,x92004,x92002,x92001)),x92003))+~P1(f295(f295(f182(f32(x92001,x92002)),x92004),x92003)) % 192.26/192.34 [9289]P1(f295(f295(f207(a902),x92894),f295(f177(f903(x92892)),f164(x92892,x92893,x92891))))+P1(f295(f295(f208(a902),f722(x92891,x92892,x92893,x92894)),x92894))+~P1(f295(f295(f207(a902),x92894),f295(f177(f903(x92892)),x92891))) % 192.26/192.34 [9437]E(f164(x94371,x94372,x94373),f295(f295(f161(x94371),x94374),x94373))+~P1(f295(x94372,f295(f295(f153(x94371),x94373),f720(x94372,x94373,x94371,x94374))))+P1(f295(f295(f208(a902),x94374),f295(f177(f903(x94371)),x94373))) % 192.26/192.34 [9443]E(f164(x94431,x94432,x94433),f295(f295(f161(x94431),x94434),x94433))+~P1(f295(x94432,f295(f295(f153(x94431),x94433),f720(x94432,x94433,x94431,x94434))))+P1(f295(x94432,f295(f295(f153(x94431),x94433),x94434))) % 192.26/192.34 [9447]~P1(f295(f62(x94471),x94473))+~P1(f295(f62(x94472),f295(x94474,f614(x94474,x94472,x94473,x94471))))+P1(f295(f62(f910(x94471,x94472)),f295(f295(f226(x94471,x94472),x94473),x94474))) % 192.26/192.34 [9455]~P131(x94551)+~P1(f295(f295(f208(x94551),f2(x94551)),f295(x94553,f836(x94553,x94554,x94552,x94551))))+P1(f295(f295(f208(x94551),f2(x94551)),f295(f295(f9(x94552,x94551),x94553),x94554))) % 192.26/192.34 [9460]~E(f295(f177(f903(x94604)),x94602),f295(f177(f903(x94604)),x94603))+P1(f295(f295(f297(f910(f903(x94604),f903(x94604))),f295(f295(f217(f903(x94604),f903(x94604)),x94603),x94602)),f147(x94604,x94601)))+P1(f295(f295(f208(a902),f662(x94601,x94602,x94603,x94604)),f295(f177(f903(x94604)),x94603))) % 192.26/192.34 [9515]~P1(f295(x95153,f295(f295(f153(x95152),x95154),f722(x95154,x95152,x95153,x95151))))+P1(f295(f295(f207(a902),x95151),f295(f177(f903(x95152)),f164(x95152,x95153,x95154))))+~P1(f295(f295(f207(a902),x95151),f295(f177(f903(x95152)),x95154))) % 192.26/192.34 [9589]E(f295(f295(f161(x95891),f667(x95892,x95893,x95894,x95891)),x95893),f295(f295(f161(x95891),f667(x95892,x95893,x95894,x95891)),x95894))+~P1(f295(f295(f297(f910(f903(x95891),f903(x95891))),f295(f295(f217(f903(x95891),f903(x95891)),x95894),x95893)),f136(x95891,x95892)))+P1(f295(f295(f208(a902),f295(f177(f903(x95891)),x95894)),f295(f177(f903(x95891)),x95893))) % 192.26/192.34 [9642]~P1(f295(f295(f208(a902),f2(a902)),x96423))+~P1(f295(f295(f208(a902),x96424),x96421))+P1(f295(f295(f208(a902),f295(f295(f83(a902),f295(f295(f84(a902),x96421),f46(a902,x96422,x96423))),x96424)),f295(f295(f84(a902),x96421),x96423))) % 192.26/192.34 [9833]~P113(x98332)+~P1(f295(f295(f207(x98332),f295(x98333,f882(x98334,x98333,x98331,x98332))),f295(x98334,f882(x98334,x98333,x98331,x98332))))+P1(f295(f295(f207(f911(x98331,x98332)),x98333),x98334)) % 192.26/192.34 [9935]~P67(x99351)+E(f295(f295(f6(a902,x99351),f295(f295(f18(a902,x99351,x99351),f295(f295(f8(x99351,f911(x99351,x99351),a902),f23(x99351)),x99352)),f295(f295(f8(a902,x99351,a902),x99352),f295(f295(f7(a902,a902,a902),f83(a902)),f81(a902))))),f269(a902,x99353,x99354)),f295(f295(f23(x99351),f295(x99352,x99353)),f295(x99352,f295(f295(f83(a902),x99354),f81(a902)))))+~P1(f295(f295(f207(a902),x99353),x99354)) % 192.26/192.34 [6967]E(f295(f295(f122(x69671),x69672),x69673),x69674)+~E(x69673,f295(f295(f127(x69671),f295(f177(f903(x69671)),x69672)),x69674))+~E(f295(f295(f161(x69671),f295(f177(f903(x69671)),x69672)),x69674),x69672) % 192.26/192.34 [7021]~P73(x70212)+E(x70211,f2(x70212))+E(f295(f295(f256(x70212),f295(f295(f218(x70212),x70213),x70214)),f295(f295(f218(x70212),x70211),x70214)),f295(f295(f218(x70212),f295(f295(f256(x70212),x70213),x70211)),x70214)) % 192.26/192.34 [7172]~P110(x71721)+~P1(f295(f295(f207(x71721),x71723),x71724))+P1(f295(f295(f207(x71721),f295(f295(f108(x71721),x71722),x71723)),x71724)) % 192.26/192.34 [7173]~P110(x71731)+~P1(f295(f295(f207(x71731),x71732),x71734))+P1(f295(f295(f207(x71731),f295(f295(f108(x71731),x71732),x71733)),x71734)) % 192.26/192.34 [7175]~P114(x71751)+~P1(f295(f295(f207(x71751),x71753),x71754))+P1(f295(f295(f207(x71751),f295(f295(f205(x71751),x71752),x71753)),x71754)) % 192.26/192.34 [7177]~P114(x71771)+~P1(f295(f295(f207(x71771),x71772),x71774))+P1(f295(f295(f207(x71771),f295(f295(f205(x71771),x71772),x71773)),x71774)) % 192.26/192.34 [7178]~P110(x71781)+~P1(f295(f295(f208(x71781),x71783),x71784))+P1(f295(f295(f208(x71781),f295(f295(f108(x71781),x71782),x71783)),x71784)) % 192.26/192.34 [7179]~P110(x71791)+~P1(f295(f295(f208(x71791),x71792),x71794))+P1(f295(f295(f208(x71791),f295(f295(f108(x71791),x71792),x71793)),x71794)) % 192.26/192.34 [7181]~P114(x71811)+~P1(f295(f295(f208(x71811),x71813),x71814))+P1(f295(f295(f208(x71811),f295(f295(f205(x71811),x71812),x71813)),x71814)) % 192.26/192.34 [7183]~P114(x71831)+~P1(f295(f295(f208(x71831),x71832),x71834))+P1(f295(f295(f208(x71831),f295(f295(f205(x71831),x71832),x71833)),x71834)) % 192.26/192.34 [7206]~P1(f295(x72063,x72064))+~P1(f295(x72062,x72064))+P1(f295(f295(f295(f108(f911(x72061,a897)),x72062),x72063),x72064)) % 192.26/192.34 [7332]P23(x73321,x73322,x73323)+~P23(x73321,x73322,x73324)+~P1(f295(f295(f207(f911(f901(x73321),a897)),x73323),x73324)) % 192.26/192.34 [7698]~P77(x76981)+E(f295(f295(f83(x76981),f295(x76982,x76983)),f295(f295(f6(a902,x76981),x76982),f295(f268(a902,f295(a119,x76983)),x76984))),f295(f295(f6(a902,x76981),x76982),f295(f268(a902,x76983),x76984)))+~P1(f295(f295(f208(a902),x76983),x76984)) % 192.26/192.34 [7727]~P114(x77271)+P1(f295(f295(f207(x77271),x77272),x77273))+~P1(f295(f295(f207(x77271),f295(f295(f206(x77271),x77274),x77272)),x77273)) % 192.26/192.34 [7729]~P114(x77291)+P1(f295(f295(f207(x77291),x77292),x77293))+~P1(f295(f295(f207(x77291),f295(f295(f206(x77291),x77292),x77294)),x77293)) % 192.26/192.34 [7731]~P109(x77311)+P1(f295(f295(f207(x77311),x77312),x77313))+~P1(f295(f295(f207(x77311),f295(f295(f117(x77311),x77314),x77312)),x77313)) % 192.26/192.34 [7733]~P109(x77331)+P1(f295(f295(f207(x77331),x77332),x77333))+~P1(f295(f295(f207(x77331),f295(f295(f117(x77331),x77332),x77334)),x77333)) % 192.26/192.34 [7734]~P114(x77341)+P1(f295(f295(f208(x77341),x77342),x77343))+~P1(f295(f295(f208(x77341),f295(f295(f206(x77341),x77344),x77342)),x77343)) % 192.26/192.34 [7735]~P114(x77351)+P1(f295(f295(f208(x77351),x77352),x77353))+~P1(f295(f295(f208(x77351),f295(f295(f206(x77351),x77352),x77354)),x77353)) % 192.26/192.34 [7811]~P1(f295(f295(f297(x78111),x78112),x78114))+P1(f295(f295(f297(x78111),x78112),x78113))+P1(f295(f295(f297(x78111),x78112),f295(f295(f23(f911(x78111,a897)),x78114),x78113))) % 192.26/192.34 [7896]P1(f295(x78961,x78962))+P1(f295(x78963,x78962))+~P1(f295(f295(f295(f117(f911(x78964,a897)),x78963),x78961),x78962)) % 192.26/192.34 [7907]~P1(f295(f295(f297(x79071),x79072),x79074))+~P1(f295(f295(f297(x79071),x79072),x79073))+P1(f295(f295(f297(x79071),x79072),f295(f295(f108(f911(x79071,a897)),x79073),x79074))) % 192.26/192.34 [7959]~P109(x79591)+~P1(f295(f62(x79591),x79594))+E(f295(f295(f65(x79591,x79591,f117(x79591)),x79592),f295(f295(f275(x79591),x79593),x79594)),f295(f295(f117(x79591),x79593),f295(f295(f65(x79591,x79591,f117(x79591)),x79592),x79594))) % 192.26/192.34 [7960]~P110(x79601)+~P1(f295(f62(x79601),x79604))+E(f295(f295(f65(x79601,x79601,f108(x79601)),x79602),f295(f295(f275(x79601),x79603),x79604)),f295(f295(f108(x79601),x79603),f295(f295(f65(x79601,x79601,f108(x79601)),x79602),x79604))) % 192.26/192.34 [7961]~P114(x79611)+~P1(f295(f62(x79611),x79614))+E(f295(f295(f65(x79611,x79611,f205(x79611)),x79612),f295(f295(f275(x79611),x79613),x79614)),f295(f295(f205(x79611),x79613),f295(f295(f65(x79611,x79611,f205(x79611)),x79612),x79614))) % 192.26/192.34 [7962]~P114(x79621)+~P1(f295(f62(x79621),x79624))+E(f295(f295(f65(x79621,x79621,f206(x79621)),x79622),f295(f295(f275(x79621),x79623),x79624)),f295(f295(f206(x79621),x79623),f295(f295(f65(x79621,x79621,f206(x79621)),x79622),x79624))) % 192.26/192.34 [7963]~P130(x79631)+~P105(x79631)+E(f295(f295(f23(x79631),f295(f295(f84(x79631),f295(f110(x79631),x79632)),x79633)),f295(f295(f84(x79631),f295(f110(x79631),x79632)),x79634)),f295(f295(f84(x79631),f295(f110(x79631),x79632)),f295(f295(f23(x79631),x79633),x79634))) % 192.26/192.34 [7964]~P148(x79641)+~P105(x79641)+E(f295(f295(f83(x79641),f295(f295(f84(x79641),f295(f110(x79641),x79642)),x79643)),f295(f295(f84(x79641),f295(f110(x79641),x79642)),x79644)),f295(f295(f84(x79641),f295(f110(x79641),x79642)),f295(f295(f83(x79641),x79643),x79644))) % 192.26/192.34 [8077]E(x80771,x80772)+P1(f295(f295(f297(x80773),x80771),f295(f160(x80773),x80774)))+~P1(f295(f295(f297(x80773),x80771),f295(f160(x80773),f295(f295(f140(x80773),x80772),x80774)))) % 192.26/192.34 [8261]P60(x82611,x82612,x82613)+~P60(x82611,x82612,x82614)+~P1(f295(f295(f207(f911(f910(x82611,x82612),a897)),x82613),x82614)) % 192.26/192.34 [8301]P1(f295(f295(f297(x83011),x83012),x83013))+P1(f295(f295(f297(x83011),x83012),x83014))+~P1(f295(f295(f297(x83011),x83012),f295(f295(f117(f911(x83011,a897)),x83014),x83013))) % 192.26/192.34 [8313]~P58(x83131,x83134,x83133)+~P1(f295(f295(f297(x83131),x83132),x83134))+P1(f295(f295(f297(f910(x83131,x83131)),f295(f295(f217(x83131,x83131),x83132),x83132)),x83133)) % 192.26/192.34 [8325]~P1(f295(f62(x83252),x83254))+~P1(f295(f62(x83251),x83253))+P1(f295(f62(f910(x83251,x83252)),f295(f295(f226(x83251,x83252),x83253),f295(f16(f911(x83252,a897),x83251),x83254)))) % 192.26/192.34 [8326]~P1(f295(f295(f297(x83261),x83262),x83264))+~P1(f295(f295(f207(f911(x83261,a897)),x83263),x83264))+P1(f295(f295(f207(f911(x83261,a897)),f295(f295(f275(x83261),x83262),x83263)),x83264)) % 192.26/192.34 [8333]~P118(x83332)+~P83(x83332)+E(f295(f295(f9(x83331,x83332),f295(f295(f8(a902,x83332,x83331),f107(x83332)),x83333)),x83334),f295(f107(x83332),f295(f295(f9(x83331,a902),x83333),x83334))) % 192.26/192.34 [8334]~P145(x83342)+~P83(x83342)+E(f295(f295(f9(x83341,x83342),f295(f295(f8(a1,x83342,x83341),f109(x83342)),x83343)),x83344),f295(f109(x83342),f295(f295(f9(x83341,a1),x83343),x83344))) % 192.26/192.34 [8358]E(f295(f295(f23(f911(x83581,a897)),x83582),f295(f295(f23(f911(x83581,a897)),x83583),x83584)),x83584)+~P1(f295(f295(f207(f911(x83581,a897)),x83582),x83583))+~P1(f295(f295(f207(f911(x83581,a897)),x83584),x83582)) % 192.26/192.34 [8458]~P1(f295(f62(x84581),x84584))+E(f295(f295(f23(a902),f295(f295(f6(x84581,a902),x84582),x84583)),f295(f295(f6(x84581,a902),x84582),x84584)),f295(f295(f6(x84581,a902),x84582),f295(f295(f23(f911(x84581,a897)),x84583),x84584)))+~P1(f295(f295(f207(f911(x84581,a897)),x84584),x84583)) % 192.26/192.34 [8609]~P9(x86091,x86094,x86093)+~P1(f295(f295(f297(x86091),x86092),x86094))+P1(f295(f295(f297(x86091),x86092),f295(f252(x86091,x86091,x86093),f295(f295(f275(x86091),x86092),f176(f911(x86091,a897)))))) % 192.26/192.34 [8672]~P1(f295(f295(f207(f911(x86721,a897)),x86722),x86723))+~P1(f295(f295(f207(f911(x86721,a897)),x86722),x86724))+P1(f295(f295(f207(f911(x86721,a897)),x86722),f295(f295(f108(f911(x86721,a897)),x86723),x86724))) % 192.26/192.34 [8785]E(x87851,f176(f911(x87852,a897)))+P1(f295(f62(x87853),x87854))+~P1(f295(f62(f910(x87853,x87852)),f295(f295(f226(x87853,x87852),x87854),f295(f16(f911(x87852,a897),x87853),x87851)))) % 192.26/192.34 [8786]E(x87861,f176(f911(x87862,a897)))+P1(f295(f62(x87863),x87864))+~P1(f295(f62(f910(x87862,x87863)),f295(f295(f226(x87862,x87863),x87861),f295(f16(f911(x87863,a897),x87862),x87864)))) % 192.26/192.34 [8853]P1(f295(f295(f297(x88531),x88532),f285(x88531,x88533)))+~P1(f295(f295(f297(x88531),x88534),f285(x88531,x88533)))+~P1(f295(f295(f297(f910(x88531,x88531)),f295(f295(f217(x88531,x88531),x88532),x88534)),x88533)) % 192.26/192.34 [8920]~P36(x89201,x89204)+P1(f295(f295(f297(f910(x89201,x89201)),f295(f295(f217(x89201,x89201),x89203),x89202)),f273(x89201,x89204)))+P36(x89201,f295(f295(f275(f910(x89201,x89201)),f295(f295(f217(x89201,x89201),x89202),x89203)),x89204)) % 192.26/192.34 [8921]~P63(x89211,x89214)+P1(f295(f295(f297(f910(x89211,x89211)),f295(f295(f217(x89211,x89211),x89213),x89212)),f273(x89211,x89214)))+P63(x89211,f295(f295(f275(f910(x89211,x89211)),f295(f295(f217(x89211,x89211),x89212),x89213)),x89214)) % 192.26/192.34 [9001]~E(x90012,x90013)+~P1(f295(f295(f297(x90011),x90012),f295(f160(x90011),x90014)))+P1(f295(f295(f297(f910(x90011,x90011)),f295(f295(f217(x90011,x90011),x90012),x90013)),f295(f160(f910(x90011,x90011)),f295(f295(f168(x90011,x90011),x90014),x90014)))) % 192.26/192.34 [9097]~E(x90973,x90974)+P1(f295(f295(f228(x90971,x90971,a897),a292),x90972))+~P1(f295(f295(f297(f910(x90971,x90971)),x90972),f295(f160(f910(x90971,x90971)),f295(f295(f168(x90971,x90971),x90973),x90974)))) % 192.26/192.34 [9117]~P1(f295(x91174,x91172))+P1(f295(f295(f295(f295(a184,x91171),x91172),x91173),f362(x91173,x91172,x91171,x91174)))+~P1(f295(f295(f295(f295(a184,f32(x91174,x91171)),x91172),x91173),x91172)) % 192.26/192.34 [9144]P1(f295(f295(f297(f910(f903(x91441),f903(x91441))),f295(f295(f217(f903(x91441),f903(x91441)),x91442),x91443)),f136(x91441,x91444)))+~E(f295(f295(f161(x91441),f295(f177(f903(x91441)),x91442)),x91443),x91442)+~P1(f295(f295(f208(a902),f295(f177(f903(x91441)),x91442)),f295(f177(f903(x91441)),x91443))) % 192.26/192.34 [9147]~P38(x91471,x91474)+~P1(f295(f295(f297(f910(x91471,x91471)),f295(f295(f217(x91471,x91471),x91473),x91472)),x91474))+P1(f295(f295(f297(f910(x91471,x91471)),f295(f295(f217(x91471,x91471),x91472),x91473)),x91474)) % 192.26/192.34 [9241]~P1(f295(f62(x92411),x92414))+P1(f295(f295(f297(x92411),f367(x92412,x92413,x92414,x92411)),x92414))+P1(f295(f62(x92413),f295(f295(f44(x92411,f911(x92413,a897)),x92414),x92412))) % 192.26/192.34 [9242]~P1(f295(f62(x92421),x92424))+P1(f295(f295(f297(x92421),f562(x92422,x92423,x92424,x92421)),x92424))+P1(f295(f62(x92423),f295(f295(f44(x92421,f911(x92423,a897)),x92424),x92422))) % 192.26/192.34 [9324]P1(f295(f295(f297(f910(x93241,x93241)),x93242),f295(f295(f255(x93241,x93241,x93241),x93243),f273(x93241,x93243))))+~P1(f295(f295(f208(a902),f2(a902)),x93244))+~P1(f295(f295(f297(f910(x93241,x93241)),x93242),f295(f295(f170(f910(x93241,x93241),a897),x93244),x93243))) % 192.26/192.34 [9332]~P36(x93321,x93322)+~P1(f295(f295(f297(f910(x93321,x93321)),f295(f295(f217(x93321,x93321),x93324),x93323)),x93322))+~P1(f295(f295(f297(f910(x93321,x93321)),f295(f295(f217(x93321,x93321),x93323),x93324)),x93322)) % 192.26/192.34 [9454]~P1(f295(f62(x94541),x94544))+E(f295(f295(f6(x94541,a902),f295(f295(f8(f911(x94542,a897),a902,x94541),f39(x94542)),x94543)),x94544),f295(f39(f910(x94541,x94542)),f295(f295(f226(x94541,x94542),x94544),x94543)))+P1(f295(f295(f297(x94541),f608(x94543,x94542,x94544,x94541)),x94544)) % 192.26/192.34 [9457]~P1(f295(f126(x94571),x94572))+P1(f295(f126(x94571),f295(f295(f148(x94571,x94572),x94573),x94574)))+P1(f295(f295(f297(x94571),x94574),f295(f295(f23(f911(x94571,a897)),f295(f160(x94571),x94572)),f295(f295(f275(x94571),f295(f295(f153(x94571),x94572),x94573)),f176(f911(x94571,a897)))))) % 192.26/192.34 [9472]~P1(f295(f62(x94722),x94723))+~P1(f295(f62(x94721),f295(x94724,f367(x94724,x94721,x94723,x94722))))+P1(f295(f62(x94721),f295(f295(f44(x94722,f911(x94721,a897)),x94723),x94724))) % 192.26/192.34 [9473]~P1(f295(f62(x94732),x94733))+~P1(f295(f62(x94731),f295(x94734,f562(x94734,x94731,x94733,x94732))))+P1(f295(f62(x94731),f295(f295(f44(x94732,f911(x94731,a897)),x94733),x94734))) % 192.26/192.34 [9548]~P1(f295(f295(f297(f910(x95481,x95481)),x95482),f295(f295(f255(x95481,x95481,x95481),x95484),f273(x95481,x95484))))+P1(f295(f295(f297(f910(x95481,x95481)),x95482),f295(f295(f255(x95481,x95481,x95481),x95483),f273(x95481,x95483))))+~P1(f295(f295(f207(f911(f910(x95481,x95481),a897)),x95484),x95483)) % 192.26/192.34 [9555]E(f295(f295(f161(x95551),f667(x95554,x95553,x95552,x95551)),x95553),f295(f295(f161(x95551),f667(x95554,x95553,x95552,x95551)),x95552))+~P1(f295(f295(f297(f910(f903(x95551),f903(x95551))),f295(f295(f217(f903(x95551),f903(x95551)),x95552),x95553)),f136(x95551,x95554)))+E(f295(f295(f161(x95551),f295(f177(f903(x95551)),x95552)),x95553),x95552) % 192.26/192.34 [9572]~P1(f295(f62(x95721),x95724))+E(f295(f295(f6(x95721,a902),f295(f295(f8(f911(x95722,a897),a902,x95721),f39(x95722)),x95723)),x95724),f295(f39(f910(x95721,x95722)),f295(f295(f226(x95721,x95722),x95724),x95723)))+~P1(f295(f62(x95722),f295(x95723,f608(x95723,x95722,x95724,x95721)))) % 192.26/192.34 [9576]~E(f295(f177(f903(x95761)),x95763),f295(f177(f903(x95761)),x95762))+P1(f295(f295(f297(f910(f903(x95761),f903(x95761))),f295(f295(f217(f903(x95761),f903(x95761)),x95762),x95763)),f147(x95761,x95764)))+P1(f295(f295(f297(f910(x95761,x95761)),f669(x95764,x95763,x95762,x95761)),f295(f160(f910(x95761,x95761)),f295(f295(f168(x95761,x95761),x95762),x95763)))) % 192.26/192.34 [9653]~P1(f295(f295(f297(f910(f903(x96531),f903(x96531))),f295(f295(f217(f903(x96531),f903(x96531)),x96532),x96533)),f136(x96531,x96534)))+E(f295(f295(f161(x96531),f295(f177(f903(x96531)),x96532)),x96533),x96532)+P1(f295(f295(f208(a902),f667(x96534,x96533,x96532,x96531)),f295(f295(f205(a902),f295(f177(f903(x96531)),x96532)),f295(f177(f903(x96531)),x96533)))) % 192.26/192.34 [9667]~P1(f295(x96671,x96674))+P1(f295(f295(f295(f295(a184,f32(x96671,x96672)),f362(x96673,x96674,x96672,x96671)),x96673),x96674))+~P1(f295(f295(f295(f295(a184,f32(x96671,x96672)),x96674),x96673),x96674)) % 192.26/192.34 [9671]~P1(f295(f295(f297(f910(f903(x96711),f903(x96711))),f295(f295(f217(f903(x96711),f903(x96711)),x96712),x96713)),f136(x96711,x96714)))+P1(f295(f295(f208(a902),f295(f177(f903(x96711)),x96712)),f295(f177(f903(x96711)),x96713)))+P1(f295(f295(f208(a902),f667(x96714,x96713,x96712,x96711)),f295(f295(f205(a902),f295(f177(f903(x96711)),x96712)),f295(f177(f903(x96711)),x96713)))) % 192.26/192.34 [10082]~P1(f295(f295(f297(f910(f903(x100821),f903(x100821))),f295(f295(f217(f903(x100821),f903(x100821)),x100822),x100823)),f136(x100821,x100824)))+E(f295(f295(f161(x100821),f295(f177(f903(x100821)),x100822)),x100823),x100822)+P1(f295(f295(f297(f910(x100821,x100821)),f295(f295(f217(x100821,x100821),f295(f295(f153(x100821),x100822),f667(x100824,x100823,x100822,x100821))),f295(f295(f153(x100821),x100823),f667(x100824,x100823,x100822,x100821)))),x100824)) % 192.26/192.34 [10083]~P1(f295(f295(f297(f910(f903(x100831),f903(x100831))),f295(f295(f217(f903(x100831),f903(x100831)),x100832),x100833)),f136(x100831,x100834)))+P1(f295(f295(f208(a902),f295(f177(f903(x100831)),x100832)),f295(f177(f903(x100831)),x100833)))+P1(f295(f295(f297(f910(x100831,x100831)),f295(f295(f217(x100831,x100831),f295(f295(f153(x100831),x100832),f667(x100834,x100833,x100832,x100831))),f295(f295(f153(x100831),x100833),f667(x100834,x100833,x100832,x100831)))),x100834)) % 192.26/192.34 [10146]~E(f295(f177(f903(x101461)),x101462),f295(f177(f903(x101461)),x101463))+P1(f295(f295(f297(f910(f903(x101461),f903(x101461))),f295(f295(f217(f903(x101461),f903(x101461)),x101462),x101463)),f147(x101461,x101464)))+~P1(f295(f295(f297(f910(x101461,x101461)),f295(f295(f217(x101461,x101461),f295(f295(f153(x101461),x101462),f662(x101464,x101463,x101462,x101461))),f295(f295(f153(x101461),x101463),f662(x101464,x101463,x101462,x101461)))),x101464)) % 192.26/192.34 [10338]~P77(x103381)+~P1(f295(f62(x103382),x103384))+E(f295(f154(x103381),f295(f295(f143(x103382,x103381),x103383),f93(f903(x103382),f295(f295(f18(f903(x103382),a897,a897),f295(f295(f8(a897,f911(a897,a897),f903(x103382)),a293),f295(f295(f7(f903(x103382),f911(x103382,a897),a897),f295(f295(f8(f911(x103382,a897),f911(f911(x103382,a897),a897),f903(x103382)),a292),f160(x103382))),x103384))),f126(x103382))))),f203(x103382,x103381,x103383,x103384)) % 192.26/192.34 [7550]~P72(x75502)+E(x75501,f2(x75502))+E(f295(f295(f256(x75502),f295(f295(f83(x75502),x75503),f295(f295(f84(x75502),x75504),x75501))),x75501),f295(f295(f83(x75502),x75504),f295(f295(f256(x75502),x75503),x75501))) % 192.26/192.34 [7551]~P69(x75512)+E(x75511,f2(x75512))+E(f295(f295(f40(x75512),f295(f295(f83(x75512),x75513),f295(f295(f84(x75512),x75514),x75511))),x75511),f295(f295(f83(x75512),x75514),f295(f295(f40(x75512),x75513),x75511))) % 192.26/192.34 [7552]~P69(x75522)+E(x75521,f2(x75522))+E(f295(f295(f40(x75522),f295(f295(f83(x75522),x75523),f295(f295(f84(x75522),x75521),x75524))),x75521),f295(f295(f83(x75522),x75524),f295(f295(f40(x75522),x75523),x75521))) % 192.26/192.34 [7774]~P73(x77742)+E(x77741,f2(x77742))+E(f295(f295(f256(x77742),f295(f295(f23(x77742),x77743),f295(f295(f84(x77742),x77741),x77744))),x77741),f295(f295(f23(x77742),f295(f295(f256(x77742),x77743),x77741)),x77744)) % 192.26/192.34 [7775]~P72(x77752)+E(x77751,f2(x77752))+E(f295(f295(f256(x77752),f295(f295(f83(x77752),x77753),f295(f295(f84(x77752),x77754),x77751))),x77751),f295(f295(f83(x77752),f295(f295(f256(x77752),x77753),x77751)),x77754)) % 192.26/192.34 [7776]~P73(x77762)+E(x77761,f2(x77762))+E(f295(f295(f256(x77762),f295(f295(f83(x77762),x77763),f295(f295(f84(x77762),x77761),x77764))),x77761),f295(f295(f83(x77762),f295(f295(f256(x77762),x77763),x77761)),x77764)) % 192.26/192.34 [8486]~P1(f295(f149(x84861,x84863),x84864))+~P1(f295(f149(x84861,x84862),x84864))+P1(f295(f149(x84861,f295(f295(f108(f911(x84861,a897)),x84862),x84863)),x84864)) % 192.26/192.34 [8871]~E(f295(f295(f255(x88711,x88711,x88711),x88712),x88714),f176(f911(f910(x88711,x88711),a897)))+~E(f295(f295(f255(x88711,x88711,x88711),x88712),x88713),f176(f911(f910(x88711,x88711),a897)))+E(f295(f295(f255(x88711,x88711,x88711),x88712),f295(f295(f117(f911(f910(x88711,x88711),a897)),x88713),x88714)),f176(f911(f910(x88711,x88711),a897))) % 192.26/192.34 [9002]~P1(f295(f295(f207(f911(x90021,a897)),x90023),x90024))+~P1(f295(f295(f207(f911(x90021,a897)),x90022),x90024))+P1(f295(f295(f207(f911(x90021,a897)),f295(f295(f117(f911(x90021,a897)),x90022),x90023)),x90024)) % 192.26/192.34 [9383]~P1(f295(f62(x93831),x93834))+~P1(f295(f62(x93831),x93833))+E(f295(f295(f23(a902),f295(f295(f83(a902),f295(f295(f6(x93831,a902),x93832),x93833)),f295(f295(f6(x93831,a902),x93832),x93834))),f295(f295(f6(x93831,a902),x93832),f295(f295(f108(f911(x93831,a897)),x93833),x93834))),f295(f295(f6(x93831,a902),x93832),f295(f295(f117(f911(x93831,a897)),x93833),x93834))) % 192.26/192.34 [9469]~P1(f295(f295(f297(x94691),x94693),x94692))+~P1(f295(f295(f207(f911(x94691,a897)),x94692),f295(f295(f275(x94691),x94693),x94694)))+P1(f295(f295(f207(f911(x94691,a897)),f295(f295(f23(f911(x94691,a897)),x94692),f295(f295(f275(x94691),x94693),f176(f911(x94691,a897))))),x94694)) % 192.26/192.34 [9627]~P1(f295(f295(f297(x96271),x96273),x96272))+P1(f295(f295(f207(f911(x96271,a897)),x96272),f295(f295(f275(x96271),x96273),x96274)))+~P1(f295(f295(f207(f911(x96271,a897)),f295(f295(f23(f911(x96271,a897)),x96272),f295(f295(f275(x96271),x96273),f176(f911(x96271,a897))))),x96274)) % 192.26/192.34 [9715]~P1(f295(f295(f207(a902),x97151),x97153))+~P1(f295(f295(f208(a902),x97152),x97154))+P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),f295(f295(f217(a902,a902),x97151),x97152)),f295(f295(f217(a902,a902),x97153),x97154))),a37)) % 192.26/192.34 [9716]~P1(f295(f295(f207(a902),x97162),x97164))+~P1(f295(f295(f207(a902),x97161),x97163))+P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),f295(f295(f217(a902,a902),x97161),x97162)),f295(f295(f217(a902,a902),x97163),x97164))),a72)) % 192.26/192.34 [10008]~P1(f295(f295(f297(f903(x100081)),x100084),f150(x100081,x100083)))+~P1(f295(f295(f297(f903(x100081)),x100084),f150(x100081,x100082)))+P1(f295(f149(x100081,f295(f295(f108(f911(x100081,a897)),f295(f295(f7(x100081,f911(x100081,a897),a897),f297(x100081)),x100082)),f295(f295(f7(x100081,f911(x100081,a897),a897),f297(x100081)),x100083))),x100084)) % 192.26/192.34 [10110]~P24(x101101,f911(f911(x101101,a897),a897),f295(f295(f7(x101101,f911(f910(x101101,x101101),a897),f911(f911(x101101,a897),a897)),f295(f295(f8(f911(x101101,a897),f911(f911(f910(x101101,x101101),a897),f911(f911(x101101,a897),a897)),x101101),f61(x101101)),f295(f295(f7(x101101,f911(x101101,a897),f911(x101101,a897)),f275(x101101)),f176(f911(x101101,a897))))),x101103),x101102)+~P1(f295(f295(f297(x101101),x101104),x101102))+E(f295(f295(f23(f911(f911(x101101,a897),a897)),f295(f295(f61(x101101),x101102),x101103)),f295(f295(f61(x101101),f295(f295(f275(x101101),x101104),f176(f911(x101101,a897)))),x101103)),f295(f295(f61(x101101),f295(f295(f23(f911(x101101,a897)),x101102),f295(f295(f275(x101101),x101104),f176(f911(x101101,a897))))),x101103)) % 192.26/192.34 [10290]~P58(x102901,x102902,x102904)+~P1(f295(f295(f297(f910(x102901,x102901)),x102903),x102904))+P1(f295(f295(f228(x102901,x102901,a897),f295(f295(f7(x102901,f911(x102901,a897),f911(x102901,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x102901,a897),f911(x102901,a897)),x102901),f8(a897,a897,x102901)),f295(f295(f8(a897,f911(a897,a897),x102901),a293),f295(f295(f7(x102901,f911(x102901,a897),a897),f297(x102901)),x102902)))),f295(f295(f7(x102901,f911(x102901,a897),a897),f297(x102901)),x102902))),x102903)) % 192.26/192.34 [10300]P1(f295(f62(x103001),x103002))+~P1(f295(f62(x103003),f295(f276(x103001,x103003,x103004),x103002)))+~P1(f295(f62(x103001),f295(f212(x103001),f295(f295(f18(x103001,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103001),a293),f295(f295(f7(x103001,f911(x103001,a897),a897),f297(x103001)),x103002))),f295(f295(f7(x103001,x103003,a897),f295(f295(f8(x103003,f911(x103003,a897),x103001),a292),x103004)),f295(x103004,f563(x103004,x103003,x103002,x103001))))))) % 192.26/192.34 [8244]~P73(x82442)+E(x82441,f2(x82442))+E(f295(f295(f256(x82442),f295(f295(f23(x82442),f295(f295(f84(x82442),x82441),x82443)),x82444)),x82441),f295(f295(f23(x82442),x82443),f295(f295(f256(x82442),x82444),x82441))) % 192.26/192.34 [8245]~P73(x82452)+E(x82451,f2(x82452))+E(f295(f295(f256(x82452),f295(f295(f83(x82452),f295(f295(f84(x82452),x82451),x82453)),x82454)),x82451),f295(f295(f83(x82452),x82453),f295(f295(f256(x82452),x82454),x82451))) % 192.26/192.34 [9177]~E(f295(f295(f255(x91771,x91771,x91771),x91773),x91774),f176(f911(f910(x91771,x91771),a897)))+~E(f295(f295(f255(x91771,x91771,x91771),x91772),x91774),f176(f911(f910(x91771,x91771),a897)))+E(f295(f295(f255(x91771,x91771,x91771),f295(f295(f117(f911(f910(x91771,x91771),a897)),x91772),x91773)),x91774),f176(f911(f910(x91771,x91771),a897))) % 192.26/192.34 [9927]~P1(f295(f149(x99271,x99273),x99274))+~P1(f295(f149(x99271,x99272),x99274))+P1(f295(f149(x99271,f295(f295(f18(x99271,a897,a897),f295(f295(f8(a897,f911(a897,a897),x99271),a293),x99272)),x99273)),x99274)) % 192.26/192.34 [10191]P1(f295(x101911,f369(x101912,x101913,x101911,x101914)))+~P1(f295(f62(x101914),f295(f212(x101914),x101911)))+P1(f295(f62(x101913),f295(f212(x101913),f295(f295(f8(f911(x101914,a897),a897,x101913),f90(x101914)),f295(f295(f8(f911(x101914,a897),f911(x101914,a897),x101913),f295(f18(x101914,a897,a897),f295(f295(f8(a897,f911(a897,a897),x101914),a293),x101911))),x101912))))) % 192.26/192.34 [10210]~P1(f295(f62(x102102),f295(f212(x102102),x102103)))+~P1(f295(f62(x102101),f295(f212(x102101),f295(f295(f7(x102101,x102102,a897),x102104),f369(x102104,x102101,x102103,x102102)))))+P1(f295(f62(x102101),f295(f212(x102101),f295(f295(f8(f911(x102102,a897),a897,x102101),f90(x102102)),f295(f295(f8(f911(x102102,a897),f911(x102102,a897),x102101),f295(f18(x102102,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102102),a293),x102103))),x102104))))) % 192.26/192.34 [10318]~P1(f295(f62(x103181),x103184))+P1(f295(f295(f297(x103181),f371(x103182,x103183,x103184,x103181)),x103184))+P1(f295(f62(x103183),f295(f212(x103183),f295(f295(f8(f911(x103181,a897),a897,x103183),f90(x103181)),f295(f295(f8(f911(x103181,a897),f911(x103181,a897),x103183),f295(f18(x103181,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103181),a293),f295(f295(f7(x103181,f911(x103181,a897),a897),f297(x103181)),x103184)))),x103182))))) % 192.26/192.34 [10325]~P1(f295(f62(x103252),x103253))+~P1(f295(f62(x103251),f295(f212(x103251),f295(f295(f7(x103251,x103252,a897),x103254),f371(x103254,x103251,x103253,x103252)))))+P1(f295(f62(x103251),f295(f212(x103251),f295(f295(f8(f911(x103252,a897),a897,x103251),f90(x103252)),f295(f295(f8(f911(x103252,a897),f911(x103252,a897),x103251),f295(f18(x103252,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103252),a293),f295(f295(f7(x103252,f911(x103252,a897),a897),f297(x103252)),x103253)))),x103254))))) % 192.26/192.34 [6692]E(x66921,x66922)+~E(f295(x66923,x66921),f295(x66923,x66922))+~P24(x66924,x66925,x66923,f214(f911(x66924,a897))) % 192.26/192.34 [7581]E(x75811,x75812)+~P24(x75813,x75814,x75815,f214(f911(x75813,a897)))+~E(f295(f276(x75813,x75814,x75815),x75811),f295(f276(x75813,x75814,x75815),x75812)) % 192.26/192.34 [7828]P24(x78282,x78283,f350(x78284,x78283,x78282,x78281),x78281)+~E(f295(f276(x78283,x78282,x78285),x78284),x78281)+E(x78281,f176(f911(x78282,a897))) % 192.26/192.34 [8370]~P1(f295(f295(x83703,x83702),x83705))+~P1(f295(f295(x83703,x83704),x83702))+P1(f295(f295(f297(x83701),x83702),f262(x83701,x83703,x83704,x83705))) % 192.26/192.34 [8371]~P1(f295(f295(x83713,x83712),x83715))+~P1(f295(f295(x83713,x83714),x83712))+P1(f295(f295(f297(x83711),x83712),f265(x83711,x83713,x83714,x83715))) % 192.26/192.34 [9529]P1(f295(f295(f297(f910(x95291,x95291)),f295(f295(f217(x95291,x95291),x95292),x95293)),f273(x95291,x95294)))+~P1(f295(f295(f297(f910(x95291,x95291)),f295(f295(f217(x95291,x95291),x95292),x95295)),f273(x95291,x95294)))+~P1(f295(f295(f297(f910(x95291,x95291)),f295(f295(f217(x95291,x95291),x95295),x95293)),f273(x95291,x95294))) % 192.26/192.34 [9562]~P114(x95622)+~P1(f295(f126(x95621),x95625))+P1(f295(f126(x95621),f138(x95621,x95622,x95623,x95624,x95625))) % 192.26/192.34 [5530]~E(x55304,f120(x55301))+~E(x55305,f295(f295(f140(x55301),x55302),x55303))+E(f295(f295(f140(x55301),x55302),x55303),f295(f295(f122(x55301),x55304),x55305)) % 192.26/192.34 [5531]~E(x55314,f120(x55311))+~E(f295(f295(f140(x55311),x55312),x55313),x55315)+E(f295(f295(f140(x55311),x55312),x55313),f295(f295(f122(x55311),x55314),x55315)) % 192.26/192.34 [6650]~E(f295(f177(f903(x66501)),x66505),f295(f177(f903(x66502)),x66504))+E(f295(f295(f143(f910(x66501,x66502),x66502),f227(x66501,x66502)),x66503),x66504)+~E(f295(f295(f168(x66501,x66502),x66505),x66504),x66503) % 192.26/192.34 [6651]~E(f295(f177(f903(x66511)),x66514),f295(f177(f903(x66512)),x66515))+E(f295(f295(f143(f910(x66511,x66512),x66511),f216(x66511,x66512)),x66513),x66514)+~E(f295(f295(f168(x66511,x66512),x66514),x66515),x66513) % 192.26/192.34 [7116]~P114(x71161)+~P12(x71161,f295(f295(f143(x71162,x71161),x71163),x71165))+P12(x71161,f295(f295(f143(x71162,x71161),x71163),f295(f125(x71162,x71164),x71165))) % 192.26/192.34 [7160]~P1(f295(x71603,x71605))+~P1(f295(f295(x71602,x71604),x71605))+P1(f295(f295(f99(x71601,x71602,x71603),x71604),x71605)) % 192.26/192.34 [7260]~P114(x72601)+P12(x72601,f295(f295(f143(x72602,x72601),x72603),f158(x72602,x72604,x72605)))+~P12(x72601,f295(f295(f143(x72602,x72601),x72603),x72605)) % 192.26/192.34 [7283]~P60(x72833,x72832,x72835)+~P60(x72831,x72833,x72834)+P60(x72831,x72832,f295(f295(f255(x72831,x72833,x72832),x72834),x72835)) % 192.26/192.34 [7379]E(x73791,x73792)+~P24(x73793,x73794,x73795,f214(f911(x73793,a897)))+~E(f295(f295(f143(x73793,x73794),x73795),x73791),f295(f295(f143(x73793,x73794),x73795),x73792)) % 192.26/192.34 [7536]~P1(f295(f295(f207(a902),x75361),f295(x75363,x75365)))+P1(f295(f295(f207(a902),x75361),f144(x75362,x75363,x75364)))+~P1(f295(f295(f297(x75362),x75365),f295(f160(x75362),x75364))) % 192.26/192.34 [7537]~P1(f295(f295(f208(a902),x75371),f295(x75373,x75375)))+P1(f295(f295(f208(a902),x75371),f144(x75372,x75373,x75374)))+~P1(f295(f295(f297(x75372),x75375),f295(f160(x75372),x75374))) % 192.26/192.34 [7932]~P116(x79321)+P1(f295(f295(f207(f911(x79321,a897)),f269(x79321,x79322,x79323)),f269(x79321,x79324,x79325)))+P1(f295(f295(f207(x79321),x79322),x79323)) % 192.26/192.34 [7957]~P6(x79571)+P1(f295(f295(f207(x79571),f295(f295(f43(x79572,x79571),x79573),x79574)),f295(x79574,x79575)))+~P1(f295(f295(f297(x79572),x79575),x79573)) % 192.26/192.34 [8023]~P24(x80231,x80232,x80234,x80233)+E(f295(f80(x80231,x80232,x80233,x80234),f295(x80234,x80235)),x80235)+~P1(f295(f295(f297(x80231),x80235),x80233)) % 192.26/192.34 [8024]~P24(x80241,x80242,x80244,x80243)+E(f295(f94(x80241,x80242,x80243,x80244),f295(x80244,x80245)),x80245)+~P1(f295(f295(f297(x80241),x80245),x80243)) % 192.26/192.34 [8233]~P1(f295(x82331,x82335))+P1(f295(x82331,f304(x82331,x82332,x82333,x82334)))+~P1(f295(f295(f297(x82334),x82335),x82333)) % 192.26/192.34 [8234]~P1(f295(x82341,x82345))+P1(f295(x82341,f304(x82341,x82342,x82343,x82344)))+~P1(f295(f295(f297(x82344),x82345),x82342)) % 192.26/192.34 [8323]P1(f295(f62(x83231),x83232))+~P1(f295(f62(x83233),x83234))+~P1(f295(f295(f207(f911(x83231,a897)),x83232),f295(f276(x83233,x83231,x83235),x83234))) % 192.26/192.34 [8489]E(x84891,x84892)+~P24(x84893,x84894,x84895,f295(f295(f117(f911(x84893,a897)),f295(f160(x84893),x84891)),f295(f160(x84893),x84892)))+~E(f295(f295(f143(x84893,x84894),x84895),x84891),f295(f295(f143(x84893,x84894),x84895),x84892)) % 192.26/192.34 [8541]~P116(x85411)+~P1(f295(f295(f208(f911(x85411,a897)),f269(x85411,x85414,x85415)),f269(x85411,x85412,x85413)))+P1(f295(f295(f207(x85411),x85412),x85413)) % 192.26/192.34 [8608]~P24(x86081,x86084,x86085,f214(f911(x86081,a897)))+~P1(f295(f295(f297(x86084),f295(x86085,x86082)),f295(f276(x86081,x86084,x86085),x86083)))+P1(f295(f295(f297(x86081),x86082),x86083)) % 192.26/192.34 [8663]~P24(x86631,x86633,x86635,f214(f911(x86631,a897)))+~P24(x86633,x86632,x86634,f214(f911(x86633,a897)))+P24(x86631,x86632,f295(f295(f74(x86633,x86632,x86631),x86634),x86635),f214(f911(x86631,a897))) % 192.26/192.34 [8685]P1(f295(x86851,x86852))+~P1(f295(x86851,f305(x86851,x86853,x86854,x86855)))+~P1(f295(f295(f297(x86855),x86852),x86854)) % 192.26/192.34 [8686]P1(f295(x86861,x86862))+~P1(f295(x86861,f305(x86861,x86863,x86864,x86865)))+~P1(f295(f295(f297(x86865),x86862),x86863)) % 192.26/192.34 [8721]~E(f295(f276(x87213,x87212,x87214),f214(f911(x87213,a897))),f214(f911(x87212,a897)))+~E(f295(f276(x87211,x87213,x87215),f214(f911(x87211,a897))),f214(f911(x87213,a897)))+E(f295(f276(x87211,x87212,f295(f295(f74(x87213,x87212,x87211),x87214),x87215)),f214(f911(x87211,a897))),f214(f911(x87212,a897))) % 192.26/192.34 [8999]~P24(x89992,x89993,x89991,x89994)+E(f295(x89991,f295(f80(x89992,x89993,x89994,x89991),x89995)),x89995)+~P1(f295(f295(f297(x89993),x89995),f295(f276(x89992,x89993,x89991),x89994))) % 192.26/192.34 [9110]E(x91101,f120(x91102))+E(f295(f295(f140(x91102),x91103),f648(x91104,x91103,x91105,x91101,x91102)),x91101)+~E(f295(f295(f140(x91102),x91103),x91104),f295(f295(f122(x91102),x91101),x91105)) % 192.26/192.34 [9111]E(x91111,f120(x91112))+E(f295(f295(f140(x91112),x91113),f649(x91114,x91111,x91115,x91113,x91112)),x91111)+~E(f295(f295(f140(x91112),x91113),x91115),f295(f295(f122(x91112),x91111),x91114)) % 192.26/192.34 [9130]E(f295(f295(f140(x91302),x91303),f648(x91304,x91303,x91301,x91305,x91302)),x91305)+~E(f295(f295(f140(x91302),x91303),x91304),f295(f295(f122(x91302),x91305),x91301))+E(x91301,f295(f295(f140(x91302),x91303),x91304)) % 192.26/192.34 [9131]E(f295(f295(f140(x91311),x91312),f649(x91314,x91315,x91313,x91312,x91311)),x91315)+~E(f295(f295(f140(x91311),x91312),x91313),f295(f295(f122(x91311),x91315),x91314))+E(f295(f295(f140(x91311),x91312),x91313),x91314) % 192.26/192.34 [9568]E(x95681,f120(x95682))+~E(f295(f295(f140(x95682),x95685),x95684),f295(f295(f122(x95682),x95681),x95683))+E(f295(f295(f122(x95682),f649(x95683,x95681,x95684,x95685,x95682)),x95683),x95684) % 192.26/192.34 [9569]E(x95691,f120(x95692))+~E(f295(f295(f140(x95692),x95694),x95693),f295(f295(f122(x95692),x95691),x95695))+E(f295(f295(f122(x95692),f648(x95693,x95694,x95695,x95691,x95692)),x95695),x95693) % 192.26/192.34 [9577]E(f295(f295(f122(x95772),f648(x95774,x95773,x95771,x95775,x95772)),x95771),x95774)+~E(f295(f295(f140(x95772),x95773),x95774),f295(f295(f122(x95772),x95775),x95771))+E(x95771,f295(f295(f140(x95772),x95773),x95774)) % 192.26/192.34 [9578]~E(f295(f295(f140(x95781),x95782),x95783),f295(f295(f122(x95781),x95785),x95784))+E(f295(f295(f122(x95781),f649(x95784,x95785,x95783,x95782,x95781)),x95784),x95783)+E(f295(f295(f140(x95781),x95782),x95783),x95784) % 192.26/192.34 [9579]E(f295(f295(f122(x95791),x95795),f543(x95793,x95792,x95794,x95795,x95791)),x95792)+E(f295(f295(f122(x95791),x95792),f541(x95793,x95792,x95794,x95795,x95791)),x95795)+~E(f295(f295(f122(x95791),x95795),x95794),f295(f295(f122(x95791),x95792),x95793)) % 192.26/192.34 [9613]~P114(x96131)+P12(x96131,f295(f295(f143(x96132,x96131),x96133),f138(x96132,x96131,x96133,x96134,x96135)))+~P12(x96131,f295(f295(f143(x96132,x96131),x96133),x96135)) % 192.26/192.34 [9624]~P64(x96245,x96241,x96244,x96243)+P1(f295(f295(x96241,x96242),f624(x96243,x96244,x96241,x96245,x96242)))+~P1(f295(f295(f297(x96245),x96242),x96244)) % 192.26/192.34 [9625]~P64(x96255,x96251,x96254,x96253)+P1(f295(f295(x96251,x96252),f640(x96253,x96254,x96251,x96255,x96252)))+~P1(f295(f295(f297(x96255),x96252),x96254)) % 192.26/192.34 [9726]~P1(f295(f295(f297(f910(x97261,x97261)),f295(f295(f217(x97261,x97261),x97265),x97263)),f273(x97261,x97264)))+P1(f295(f295(f297(f910(x97261,x97261)),f295(f295(f217(x97261,x97261),x97262),x97263)),f295(f295(f255(x97261,x97261,x97261),x97264),f273(x97261,x97264))))+~P1(f295(f295(f297(f910(x97261,x97261)),f295(f295(f217(x97261,x97261),x97262),x97265)),f295(f295(f255(x97261,x97261,x97261),x97264),f273(x97261,x97264)))) % 192.26/192.34 [9727]~P1(f295(f295(f297(f910(x97271,x97271)),f295(f295(f217(x97271,x97271),x97272),x97275)),f273(x97271,x97274)))+P1(f295(f295(f297(f910(x97271,x97271)),f295(f295(f217(x97271,x97271),x97272),x97273)),f295(f295(f255(x97271,x97271,x97271),x97274),f273(x97271,x97274))))+~P1(f295(f295(f297(f910(x97271,x97271)),f295(f295(f217(x97271,x97271),x97275),x97273)),f295(f295(f255(x97271,x97271,x97271),x97274),f273(x97271,x97274)))) % 192.26/192.34 [9729]P1(f295(f295(f297(f910(f903(x97291),f903(x97291))),f295(f295(f217(f903(x97291),f903(x97291)),x97292),x97293)),f147(x97291,f273(x97291,x97294))))+~P1(f295(f295(f297(f910(f903(x97291),f903(x97291))),f295(f295(f217(f903(x97291),f903(x97291)),x97292),x97295)),f147(x97291,f273(x97291,x97294))))+~P1(f295(f295(f297(f910(f903(x97291),f903(x97291))),f295(f295(f217(f903(x97291),f903(x97291)),x97295),x97293)),f147(x97291,f273(x97291,x97294)))) % 192.26/192.34 [9733]E(f295(f295(f122(x97331),x97332),f541(x97333,x97332,x97334,x97335,x97331)),x97335)+E(f295(f295(f122(x97331),f543(x97333,x97332,x97334,x97335,x97331)),x97333),x97334)+~E(f295(f295(f122(x97331),x97332),x97333),f295(f295(f122(x97331),x97335),x97334)) % 192.26/192.34 [9734]E(f295(f295(f122(x97341),x97342),f543(x97343,x97344,x97345,x97342,x97341)),x97344)+E(f295(f295(f122(x97341),f541(x97343,x97344,x97345,x97342,x97341)),x97345),x97343)+~E(f295(f295(f122(x97341),x97342),x97345),f295(f295(f122(x97341),x97344),x97343)) % 192.26/192.34 [9786]P1(f295(f295(f297(f910(x97861,x97861)),f295(f295(f217(x97861,x97861),x97862),x97863)),f295(f295(f255(x97861,x97861,x97861),x97864),f273(x97861,x97864))))+~P1(f295(f295(f297(f910(x97861,x97861)),f295(f295(f217(x97861,x97861),x97862),x97865)),f295(f295(f255(x97861,x97861,x97861),x97864),f273(x97861,x97864))))+~P1(f295(f295(f297(f910(x97861,x97861)),f295(f295(f217(x97861,x97861),x97865),x97863)),f295(f295(f255(x97861,x97861,x97861),x97864),f273(x97861,x97864)))) % 192.26/192.34 [9817]P34(x98171,x98172,x98173,x98174,x98175)+~E(f295(f177(f903(x98171)),x98174),f295(f177(f903(x98172)),x98175))+~P1(f295(f295(f228(x98171,x98172,a897),x98173),f694(x98175,x98174,x98173,x98172,x98171))) % 192.26/192.34 [9818]P34(x98181,x98182,x98183,x98184,x98185)+~E(f295(f177(f903(x98181)),x98184),f295(f177(f903(x98182)),x98185))+~P1(f295(f295(f228(x98181,x98182,a897),x98183),f696(x98183,x98185,x98184,x98182,x98181))) % 192.26/192.34 [9824]E(f295(f295(f122(x98241),f541(x98242,x98243,x98244,x98245,x98241)),x98244),x98242)+~E(f295(f295(f122(x98241),x98243),x98242),f295(f295(f122(x98241),x98245),x98244))+E(f295(f295(f122(x98241),f543(x98242,x98243,x98244,x98245,x98241)),x98242),x98244) % 192.26/192.34 [9839]~P114(x98392)+E(f295(f295(f137(x98391,x98392,x98393),x98394),x98395),f295(f295(f140(x98391),x98394),x98395))+P1(f295(f295(f297(x98391),f769(x98394,x98393,x98395,x98391,x98392)),f295(f160(x98391),x98395))) % 192.26/192.34 [9844]~P64(x98441,x98444,x98443,x98442)+~P1(f295(f295(f297(x98441),x98445),x98443))+P1(f295(f295(f297(x98441),f624(x98442,x98443,x98444,x98441,x98445)),x98442)) % 192.26/192.34 [9845]~P64(x98451,x98454,x98453,x98452)+~P1(f295(f295(f297(x98451),x98455),x98453))+P1(f295(f295(f297(x98451),f640(x98452,x98453,x98454,x98451,x98455)),x98452)) % 192.26/192.34 [9957]~P1(f295(f295(f297(f910(f911(x99571,a897),f911(x99571,a897))),f295(f295(f217(f911(x99571,a897),f911(x99571,a897)),x99574),x99573)),f287(x99571,x99572)))+~P1(f295(f295(f297(x99571),x99575),x99574))+P1(f295(f295(f297(x99571),f800(x99572,x99573,x99574,x99571,x99575)),x99573)) % 192.26/192.34 [9969]~P114(x99692)+E(f295(f295(f137(x99691,x99692,x99693),x99694),x99695),f295(f295(f140(x99691),x99694),x99695))+~P1(f295(f295(f207(x99692),f295(x99693,x99694)),f295(x99693,f769(x99694,x99693,x99695,x99691,x99692)))) % 192.26/192.34 [10017]~P24(x100173,x100174,x100175,f214(f911(x100173,a897)))+P1(f295(x100171,x100172))+~P1(f295(x100171,f295(f94(x100173,x100174,f214(f911(x100173,a897)),x100175),f368(x100172,x100171,x100175,x100174,x100173)))) % 192.26/192.34 [10163]P34(x101631,x101632,x101633,x101634,x101635)+~E(f295(f177(f903(x101631)),x101634),f295(f177(f903(x101632)),x101635))+~P1(f295(f295(x101633,f295(f295(f153(x101631),x101634),f697(x101635,x101634,x101633,x101632,x101631))),f295(f295(f153(x101632),x101635),f697(x101635,x101634,x101633,x101632,x101631)))) % 192.26/192.34 [10164]P34(x101641,x101642,x101643,x101644,x101645)+~E(f295(f177(f903(x101641)),x101644),f295(f177(f903(x101642)),x101645))+~P1(f295(f295(x101643,f295(f295(f153(x101641),x101644),f754(x101643,x101645,x101642,x101644,x101641))),f295(f295(f153(x101642),x101645),f754(x101643,x101645,x101642,x101644,x101641)))) % 192.26/192.34 [6721]~P16(x67212,x67215,x67211)+~P1(f295(f62(x67212),x67214))+E(f295(x67211,f295(f295(f275(x67212),x67213),x67214)),f295(f295(f65(x67212,x67212,x67215),x67213),x67214)) % 192.26/192.34 [6722]~E(x67223,x67224)+~E(x67222,x67225)+E(f295(f295(f275(x67221),x67222),f295(f295(f275(x67221),x67223),f176(f911(x67221,a897)))),f295(f295(f275(x67221),x67224),f295(f295(f275(x67221),x67225),f176(f911(x67221,a897))))) % 192.26/192.34 [6733]P1(f295(x67332,x67335))+E(f164(x67331,x67332,f295(f295(f122(x67331),x67333),x67334)),f164(x67331,x67332,x67333))+~P1(f295(f295(f297(x67331),x67335),f295(f160(x67331),x67333))) % 192.26/192.34 [6769]E(f295(x67691,x67692),f214(f911(x67693,a897)))+~E(f295(f295(f43(x67694,f911(x67693,a897)),x67695),x67691),f214(f911(x67693,a897)))+~P1(f295(f295(f297(x67694),x67692),x67695)) % 192.26/192.34 [6770]E(f295(x67701,x67702),f176(f911(x67703,a897)))+~E(f295(f295(f44(x67704,f911(x67703,a897)),x67705),x67701),f176(f911(x67703,a897)))+~P1(f295(f295(f297(x67704),x67702),x67705)) % 192.26/192.34 [7065]~P1(f295(f295(f182(x70651),x70653),x70655))+~P1(f295(f295(f182(x70652),x70655),x70654))+P1(f295(f295(f182(f33(x70651,x70652)),x70653),x70654)) % 192.26/192.34 [7270]~E(x72702,x72704)+~P150(x72701)+E(f295(f295(f83(x72701),f295(f295(f84(x72701),x72702),x72703)),f295(f295(f84(x72701),x72704),x72705)),f295(f295(f83(x72701),f295(f295(f84(x72701),x72702),x72705)),f295(f295(f84(x72701),x72704),x72703))) % 192.26/192.34 [7330]~P6(x73301)+~P1(f295(f295(f297(x73304),x73303),x73305))+P1(f295(f295(f207(x73301),f295(x73302,x73303)),f295(f295(f44(x73304,x73301),x73305),x73302))) % 192.26/192.34 [7384]~P113(x73841)+P1(f295(f295(f207(x73841),f295(x73842,x73843)),f295(x73844,x73843)))+~P1(f295(f295(f207(f911(x73845,x73841)),x73842),x73844)) % 192.26/192.34 [7505]E(x75051,x75052)+E(x75053,x75051)+~E(f295(f295(f275(x75054),x75051),f295(f295(f275(x75054),x75055),f176(f911(x75054,a897)))),f295(f295(f275(x75054),x75052),f295(f295(f275(x75054),x75053),f176(f911(x75054,a897))))) % 192.26/192.34 [7506]E(x75061,x75062)+E(x75063,x75061)+~E(f295(f295(f275(x75064),x75063),f295(f295(f275(x75064),x75062),f176(f911(x75064,a897)))),f295(f295(f275(x75064),x75065),f295(f295(f275(x75064),x75061),f176(f911(x75064,a897))))) % 192.26/192.34 [7507]E(x75071,x75072)+E(x75071,x75073)+~E(f295(f295(f275(x75074),x75073),f295(f295(f275(x75074),x75072),f176(f911(x75074,a897)))),f295(f295(f275(x75074),x75075),f295(f295(f275(x75074),x75071),f176(f911(x75074,a897))))) % 192.26/192.34 [7508]E(x75081,x75082)+E(x75081,x75083)+~E(f295(f295(f275(x75084),x75081),f295(f295(f275(x75084),x75085),f176(f911(x75084,a897)))),f295(f295(f275(x75084),x75082),f295(f295(f275(x75084),x75083),f176(f911(x75084,a897))))) % 192.26/192.34 [8033]P24(x80331,x80332,x80333,x80334)+~P24(x80331,x80332,x80333,x80335)+~P1(f295(f295(f207(f911(x80331,a897)),x80334),x80335)) % 192.26/192.34 [8040]~P1(f295(f295(f207(a902),x80405),x80403))+~P1(f295(f295(f295(f295(a184,x80401),x80402),x80405),x80404))+P1(f295(f295(f295(f295(a184,x80401),x80402),x80403),x80404)) % 192.26/192.34 [8063]~E(f295(x80633,x80635),x80634)+~P24(x80631,x80632,x80633,f214(f911(x80631,a897)))+E(f295(f94(x80631,x80632,f214(f911(x80631,a897)),x80633),x80634),x80635) % 192.26/192.34 [8137]P1(f295(x81371,x81372))+~P1(f295(f295(f182(x81374),x81372),x81375))+P1(f295(f295(f182(f30(x81371,x81373,x81374)),x81372),x81375)) % 192.26/192.34 [8169]~P1(f295(x81691,x81694))+~P1(f295(f295(f182(x81692),x81694),x81695))+P1(f295(f295(f182(f30(x81691,x81692,x81693)),x81694),x81695)) % 192.26/192.34 [8220]E(x82201,x82202)+~E(f295(f276(x82203,x82204,x82205),x82201),f295(f276(x82203,x82204,x82205),x82202))+~P24(x82203,x82204,x82205,f295(f295(f117(f911(x82203,a897)),x82201),x82202)) % 192.26/192.34 [8292]P1(f295(x82922,x82924))+E(f295(f295(f127(x82921),f295(f177(f903(x82921)),f164(x82921,x82922,x82923))),x82923),f295(f295(f140(x82921),x82924),x82925))+~E(f295(f295(f122(x82921),f164(x82921,x82922,x82923)),f295(f295(f140(x82921),x82924),x82925)),x82923) % 192.26/192.34 [8321]~P24(x83211,x83212,x83213,x83215)+~P24(x83211,x83212,x83213,x83214)+P24(x83211,x83212,x83213,f295(f295(f108(f911(x83211,a897)),x83214),x83215)) % 192.26/192.34 [8431]~P77(x84311)+E(f295(f295(f83(x84311),f295(x84312,x84313)),f295(f154(x84311),f295(f295(f143(x84314,x84311),x84312),f158(x84314,x84313,x84315)))),f295(f154(x84311),f295(f295(f143(x84314,x84311),x84312),x84315)))+~P1(f295(f295(f297(x84314),x84313),f295(f160(x84314),x84315))) % 192.26/192.34 [8515]~P114(x85151)+~P12(x85151,f295(f295(f143(x85152,x85151),x85153),x85155))+P12(x85151,f295(f295(f143(x85152,x85151),x85153),f295(f295(f137(x85152,x85151,x85153),x85154),x85155))) % 192.26/192.34 [8593]P1(f295(x85931,x85932))+P1(f295(f295(f182(x85933),x85932),x85934))+~P1(f295(f295(f182(f30(x85931,x85935,x85933)),x85932),x85934)) % 192.26/192.34 [8604]~P6(x86041)+P1(f295(f295(f207(x86041),f295(f295(f43(x86042,x86041),x86043),x86044)),f295(f295(f43(x86042,x86041),x86045),x86044)))+~P1(f295(f295(f207(f911(x86042,a897)),x86045),x86043)) % 192.26/192.34 [8605]~P6(x86051)+P1(f295(f295(f207(x86051),f295(f295(f44(x86052,x86051),x86053),x86054)),f295(f295(f44(x86052,x86051),x86055),x86054)))+~P1(f295(f295(f207(f911(x86052,a897)),x86053),x86055)) % 192.26/192.34 [8614]~P1(f295(x86144,x86142))+P1(f295(f295(f182(x86141),x86142),x86143))+~P1(f295(f295(f182(f30(x86144,x86141,x86145)),x86142),x86143)) % 192.26/192.34 [8638]~P114(x86383)+P1(f295(f126(x86381),x86382))+~P1(f295(f126(x86381),f295(f295(f137(x86381,x86383,x86384),x86385),x86382))) % 192.26/192.34 [8648]P1(f295(f295(f182(x86481),x86482),x86483))+P1(f295(f295(f182(x86484),x86482),x86483))+~P1(f295(f295(f182(f30(x86485,x86481,x86484)),x86482),x86483)) % 192.26/192.34 [8798]~P114(x87981)+~P1(f295(f295(f297(x87982),x87983),f295(f160(x87982),x87984)))+~P1(f295(f126(x87982),f295(f295(f137(x87982,x87981,x87985),x87983),x87984))) % 192.26/192.34 [8882]~P114(x88821)+P12(x88821,f295(f295(f143(x88822,x88821),x88823),x88824))+~P12(x88821,f295(f295(f143(x88822,x88821),x88823),f295(f295(f137(x88822,x88821,x88823),x88825),x88824))) % 192.26/192.34 [8932]~P24(x89322,x89321,x89324,x89323)+E(f295(f276(x89321,x89322,f94(x89322,x89321,x89323,x89324)),f295(f276(x89322,x89321,x89324),x89325)),x89325)+~P1(f295(f295(f207(f911(x89322,a897)),x89325),x89323)) % 192.26/192.34 [8987]~P114(x89872)+E(f295(f295(f137(x89871,x89872,x89873),x89874),x89875),f138(x89871,x89872,x89873,x89874,x89875))+P1(f295(f295(f297(x89872),f295(x89873,x89874)),f295(f276(x89871,x89872,x89873),f295(f160(x89871),x89875)))) % 192.26/192.34 [9073]~P114(x90732)+E(f138(x90731,x90732,x90733,x90734,x90735),x90735)+~P1(f295(f295(f297(x90732),f295(x90733,x90734)),f295(f276(x90731,x90732,x90733),f295(f160(x90731),x90735)))) % 192.26/192.34 [9091]~P24(x90912,x90911,x90913,x90915)+P1(f295(f295(f208(f911(x90911,a897)),f295(f276(x90912,x90911,x90913),x90914)),f295(f276(x90912,x90911,x90913),x90915)))+~P1(f295(f295(f208(f911(x90912,a897)),x90914),x90915)) % 192.26/192.34 [9252]~P24(x92521,x92522,x92523,f214(f911(x92521,a897)))+~P1(f295(f295(f207(f911(x92522,a897)),x92524),f295(f276(x92521,x92522,x92523),x92525)))+P1(f295(f295(f207(f911(x92521,a897)),f295(f278(x92521,x92522,x92523),x92524)),x92525)) % 192.26/192.34 [9274]~E(f295(f276(x92743,x92741,x92744),f214(f911(x92743,a897))),f214(f911(x92741,a897)))+P1(f295(f295(f207(f911(x92741,a897)),x92742),f295(f276(x92743,x92741,x92744),x92745)))+~P1(f295(f295(f207(f911(x92743,a897)),f295(f278(x92743,x92741,x92744),x92742)),x92745)) % 192.26/192.34 [9377]~P24(x93771,x93774,x93775,f214(f911(x93771,a897)))+~P1(f295(f295(f207(f911(x93774,a897)),f295(f276(x93771,x93774,x93775),x93772)),f295(f276(x93771,x93774,x93775),x93773)))+P1(f295(f295(f207(f911(x93771,a897)),x93772),x93773)) % 192.26/192.34 [9499]~P88(x94991)+~E(f295(x94993,f716(x94993,x94994,x94995,x94992,x94991)),f2(x94991))+E(f295(f154(x94991),f295(f295(f143(x94992,x94991),x94993),f295(f125(x94992,x94994),x94995))),f295(f154(x94991),f295(f295(f143(x94992,x94991),x94993),x94995))) % 192.26/192.34 [9666]~P15(x96661,x96662,x96663)+~P1(f295(f62(x96661),x96665))+P1(f295(f67(x96661,x96662,x96663,x96664,x96665),f295(f295(f65(x96661,x96662,x96663),x96664),x96665))) % 192.26/192.34 [9746]P1(f295(x97461,f342(x97462,x97461,x97463,x97464,x97465)))+~P1(f295(f295(f207(f911(x97465,a897)),x97464),x97463))+P1(f295(f295(f207(f911(x97465,a897)),f295(f295(f108(f911(x97465,a897)),x97464),f295(f212(x97465),x97461))),f295(f295(f108(f911(x97465,a897)),x97463),f295(f212(x97465),x97462)))) % 192.26/192.34 [9760]~P88(x97601)+~P1(f295(x97604,f716(x97603,x97604,x97605,x97602,x97601)))+E(f295(f154(x97601),f295(f295(f143(x97602,x97601),x97603),f295(f125(x97602,x97604),x97605))),f295(f154(x97601),f295(f295(f143(x97602,x97601),x97603),x97605))) % 192.26/192.34 [9841]~P6(x98415)+P1(f295(f295(f297(x98411),f874(x98412,x98413,x98411,x98414,x98415)),x98413))+P1(f295(f295(f207(x98415),x98414),f295(f295(f43(x98411,x98415),x98413),x98412))) % 192.26/192.34 [9842]~P6(x98425)+P1(f295(f295(f297(x98421),f890(x98422,x98423,x98424,x98421,x98425)),x98424))+P1(f295(f295(f207(x98425),x98423),f295(f295(f43(x98421,x98425),x98424),x98422))) % 192.26/192.34 [9846]~P88(x98461)+E(f295(f154(x98461),f295(f295(f143(x98462,x98461),x98463),f295(f125(x98462,x98464),x98465))),f295(f154(x98461),f295(f295(f143(x98462,x98461),x98463),x98465)))+P1(f295(f295(f297(x98462),f716(x98463,x98464,x98465,x98462,x98461)),f295(f160(x98462),x98465))) % 192.26/192.34 [9857]~P1(f295(x98575,f342(x98575,x98573,x98574,x98572,x98571)))+~P1(f295(f295(f207(f911(x98571,a897)),x98572),x98574))+P1(f295(f295(f207(f911(x98571,a897)),f295(f295(f108(f911(x98571,a897)),x98572),f295(f212(x98571),x98573))),f295(f295(f108(f911(x98571,a897)),x98574),f295(f212(x98571),x98575)))) % 192.26/192.34 [9876]~P24(x98765,x98763,x98764,f214(f911(x98765,a897)))+P1(f295(x98761,x98762))+P1(f295(f295(f297(x98763),f368(x98762,x98761,x98764,x98763,x98765)),f295(f276(x98765,x98763,x98764),f214(f911(x98765,a897))))) % 192.26/192.34 [9896]P34(x98961,x98962,x98963,x98964,x98965)+~E(f295(f177(f903(x98962)),x98965),f295(f177(f903(x98961)),x98964))+P1(f295(f295(f208(a902),f697(x98965,x98964,x98963,x98962,x98961)),f295(f177(f903(x98961)),x98964))) % 192.26/192.34 [9897]P34(x98971,x98972,x98973,x98974,x98975)+~E(f295(f177(f903(x98972)),x98975),f295(f177(f903(x98971)),x98974))+P1(f295(f295(f208(a902),f754(x98973,x98975,x98972,x98974,x98971)),f295(f177(f903(x98971)),x98974))) % 192.26/192.34 [9928]P1(f295(f295(f297(x99281),f342(x99282,x99283,x99284,x99285,x99281)),x99285))+~P1(f295(f295(f207(f911(x99281,a897)),x99285),x99284))+P1(f295(f295(f207(f911(x99281,a897)),f295(f295(f108(f911(x99281,a897)),x99285),f295(f212(x99281),x99283))),f295(f295(f108(f911(x99281,a897)),x99284),f295(f212(x99281),x99282)))) % 192.26/192.34 [9970]~P6(x99701)+~P1(f295(f295(f207(x99701),x99702),f295(x99705,f874(x99705,x99704,x99703,x99702,x99701))))+P1(f295(f295(f207(x99701),x99702),f295(f295(f43(x99703,x99701),x99704),x99705))) % 192.26/192.34 [9971]~P6(x99711)+~P1(f295(f295(f207(x99711),x99712),f295(x99715,f890(x99715,x99712,x99714,x99713,x99711))))+P1(f295(f295(f207(x99711),x99712),f295(f295(f43(x99713,x99711),x99714),x99715))) % 192.26/192.34 [10006]~P83(x100061)+~P1(f295(f62(x100062),x100065))+E(f295(f295(f295(f66(x100061,x100062,f84(x100061)),f295(f295(f18(x100062,x100061,x100061),f295(f295(f8(x100061,f911(x100061,x100061),x100062),f84(x100061)),x100063)),x100064)),f81(x100061)),x100065),f295(f295(f84(x100061),f295(f295(f295(f66(x100061,x100062,f84(x100061)),x100063),f81(x100061)),x100065)),f295(f295(f295(f66(x100061,x100062,f84(x100061)),x100064),f81(x100061)),x100065))) % 192.26/192.34 [10067]~P1(f295(f295(f297(f910(f911(x100671,a897),f911(x100671,a897))),f295(f295(f217(f911(x100671,a897),f911(x100671,a897)),x100675),x100674)),f287(x100671,x100673)))+~P1(f295(f295(f297(x100671),x100672),x100675))+P1(f295(f295(f297(f910(x100671,x100671)),f295(f295(f217(x100671,x100671),x100672),f800(x100673,x100674,x100675,x100671,x100672))),x100673)) % 192.26/192.34 [10207]~P1(f295(f295(f297(f910(f903(x102071),f903(x102071))),f295(f295(f217(f903(x102071),f903(x102071)),f295(f295(f122(x102071),x102075),x102072)),f295(f295(f122(x102071),x102075),x102073))),f136(x102071,x102074)))+P1(f295(f295(f297(f910(f903(x102071),f903(x102071))),f295(f295(f217(f903(x102071),f903(x102071)),x102072),x102073)),f136(x102071,x102074)))+P1(f295(f295(f297(f910(x102071,x102071)),f295(f295(f217(x102071,x102071),f660(x102074,x102073,x102072,x102075,x102071)),f660(x102074,x102073,x102072,x102075,x102071))),x102074)) % 192.26/192.34 [7387]~E(x73873,x73875)+E(f295(f295(f153(x73871),f295(f295(f148(x73871,x73872),x73873),x73874)),x73875),x73874)+~P1(f295(f295(f208(a902),x73873),f295(f177(f903(x73871)),x73872))) % 192.26/192.34 [7500]~E(f295(f295(f122(x75001),x75002),x75004),f295(f295(f122(x75001),x75003),x75005))+E(f295(f295(f161(x75001),f295(f177(f903(x75001)),x75002)),x75003),x75002)+P1(f295(f295(f207(a902),f295(f177(f903(x75001)),x75003)),f295(f177(f903(x75001)),x75002))) % 192.26/192.34 [7517]~E(x75175,x75172)+P1(f295(x75171,x75172))+P1(f295(f295(f295(f295(a184,f32(x75171,x75173)),x75172),x75174),x75175)) % 192.26/192.34 [7994]~E(f295(f295(f122(x79941),x79942),x79944),f295(f295(f122(x79941),x79943),x79945))+E(f295(f295(f161(x79941),f295(f177(f903(x79941)),x79942)),x79943),x79942)+~P1(f295(f295(f207(a902),f295(f177(f903(x79941)),x79942)),f295(f177(f903(x79941)),x79943))) % 192.26/192.34 [8018]~P1(f295(f62(x80181),f295(x80184,x80185)))+~P1(f295(f295(f297(x80182),x80185),x80183))+P1(f295(f62(x80181),f295(f295(f43(x80182,f911(x80181,a897)),x80183),x80184))) % 192.26/192.34 [8205]~P58(x82051,x82053,x82055)+~P58(x82051,x82052,x82054)+P58(x82051,f295(f295(f117(f911(x82051,a897)),x82052),x82053),f295(f295(f117(f911(f910(x82051,x82051),a897)),x82054),x82055)) % 192.26/192.34 [8206]~P58(x82061,x82063,x82065)+~P58(x82061,x82062,x82064)+P58(x82061,f295(f295(f108(f911(x82061,a897)),x82062),x82063),f295(f295(f108(f911(f910(x82061,x82061),a897)),x82064),x82065)) % 192.26/192.34 [8287]E(x82871,x82872)+P1(f295(x82873,x82871))+~P1(f295(f295(f295(f295(a184,f32(x82873,x82874)),x82871),x82875),x82872)) % 192.26/192.34 [8556]E(f295(f295(f217(x85561,x85562),f295(f295(f153(x85561),x85563),x85564)),f295(f295(f153(x85562),x85565),x85564)),f295(f295(f153(f910(x85561,x85562)),f295(f295(f168(x85561,x85562),x85563),x85565)),x85564))+~P1(f295(f295(f208(a902),x85564),f295(f177(f903(x85561)),x85563)))+~P1(f295(f295(f208(a902),x85564),f295(f177(f903(x85562)),x85565))) % 192.26/192.34 [8713]~P58(x87131,x87133,x87134)+P1(f295(f295(f297(x87131),x87132),x87133))+~P1(f295(f295(f297(f910(x87131,x87131)),f295(f295(f217(x87131,x87131),x87135),x87132)),x87134)) % 192.26/192.34 [8714]~P58(x87141,x87143,x87144)+P1(f295(f295(f297(x87141),x87142),x87143))+~P1(f295(f295(f297(f910(x87141,x87141)),f295(f295(f217(x87141,x87141),x87142),x87145)),x87144)) % 192.26/192.34 [8715]~P9(x87151,x87153,x87154)+P1(f295(f295(f297(x87151),x87152),x87153))+~P1(f295(f295(f297(f910(x87151,x87151)),f295(f295(f217(x87151,x87151),x87155),x87152)),x87154)) % 192.26/192.34 [8716]~P9(x87161,x87163,x87164)+P1(f295(f295(f297(x87161),x87162),x87163))+~P1(f295(f295(f297(f910(x87161,x87161)),f295(f295(f217(x87161,x87161),x87162),x87165)),x87164)) % 192.26/192.34 [9012]~P9(x90121,x90125,x90122)+E(f295(f252(x90121,x90121,x90122),f295(f295(f275(x90121),x90123),f176(f911(x90121,a897)))),f295(f252(x90121,x90121,x90122),f295(f295(f275(x90121),x90124),f176(f911(x90121,a897)))))+~P1(f295(f295(f297(f910(x90121,x90121)),f295(f295(f217(x90121,x90121),x90123),x90124)),x90122)) % 192.26/192.34 [9104]~P1(f295(f295(f295(f295(a184,x91042),x91043),x91044),x91045))+~P1(f295(f295(f295(f295(a184,f32(x91041,x91042)),x91045),x91044),x91043))+P1(f295(f295(f295(f295(a184,f32(x91041,x91042)),x91043),x91044),x91043)) % 192.26/192.34 [9212]P1(f295(x92121,x92122))+~P1(f295(f295(f297(x92123),x92122),x92125))+P1(f295(f295(f297(x92123),f305(x92121,x92124,x92125,x92123)),f295(f295(f117(f911(x92123,a897)),x92125),x92124))) % 192.26/192.34 [9213]P1(f295(x92131,x92132))+~P1(f295(f295(f297(x92133),x92132),x92134))+P1(f295(f295(f297(x92133),f305(x92131,x92134,x92135,x92133)),f295(f295(f117(f911(x92133,a897)),x92135),x92134))) % 192.26/192.34 [9219]~P1(f295(x92192,x92195))+~P1(f295(f295(f297(x92191),x92195),x92194))+P1(f295(f295(f297(x92191),f304(x92192,x92193,x92194,x92191)),f295(f295(f117(f911(x92191,a897)),x92194),x92193))) % 192.26/192.34 [9220]~P1(f295(x92202,x92205))+~P1(f295(f295(f297(x92201),x92205),x92203))+P1(f295(f295(f297(x92201),f304(x92202,x92203,x92204,x92201)),f295(f295(f117(f911(x92201,a897)),x92204),x92203))) % 192.26/192.34 [9234]~P1(f295(f295(f207(f911(x92341,a897)),x92343),x92345))+~P1(f295(f295(f207(f911(x92341,a897)),x92342),x92344))+P1(f295(f295(f207(f911(x92341,a897)),f295(f295(f117(f911(x92341,a897)),x92342),x92343)),f295(f295(f117(f911(x92341,a897)),x92344),x92345))) % 192.26/192.34 [9235]~P1(f295(f295(f207(f911(x92351,a897)),x92353),x92355))+~P1(f295(f295(f207(f911(x92351,a897)),x92352),x92354))+P1(f295(f295(f207(f911(x92351,a897)),f295(f295(f108(f911(x92351,a897)),x92352),x92353)),f295(f295(f108(f911(x92351,a897)),x92354),x92355))) % 192.26/192.34 [9236]~P1(f295(f295(f207(f911(x92361,a897)),x92365),x92363))+~P1(f295(f295(f207(f911(x92361,a897)),x92362),x92364))+P1(f295(f295(f207(f911(x92361,a897)),f295(f295(f23(f911(x92361,a897)),x92362),x92363)),f295(f295(f23(f911(x92361,a897)),x92364),x92365))) % 192.26/192.34 [9327]P1(f295(f295(f297(f910(x93271,x93271)),f295(f295(f217(x93271,x93271),x93272),x93273)),f290(x93271,x93274,x93275)))+~P1(f295(f295(f207(a902),f295(x93274,x93272)),f295(x93274,x93273)))+~P1(f295(f295(f297(f910(x93271,x93271)),f295(f295(f217(x93271,x93271),x93272),x93273)),x93275)) % 192.26/192.34 [9508]P1(f295(f295(f297(f910(x95081,x95081)),f295(f295(f217(x95081,x95081),x95082),x95083)),f273(x95081,x95084)))+~P1(f295(f295(f297(f910(x95081,x95081)),f295(f295(f217(x95081,x95081),x95082),x95085)),f273(x95081,x95084)))+~P1(f295(f295(f297(f910(x95081,x95081)),f295(f295(f217(x95081,x95081),x95085),x95083)),x95084)) % 192.26/192.34 [9509]P1(f295(f295(f297(f910(x95091,x95091)),f295(f295(f217(x95091,x95091),x95092),x95093)),f273(x95091,x95094)))+~P1(f295(f295(f297(f910(x95091,x95091)),f295(f295(f217(x95091,x95091),x95095),x95093)),f273(x95091,x95094)))+~P1(f295(f295(f297(f910(x95091,x95091)),f295(f295(f217(x95091,x95091),x95092),x95095)),x95094)) % 192.26/192.34 [9602]E(x96021,x96022)+E(f295(a119,f617(x96023,x96024,x96021,x96022,x96025)),x96024)+~P1(f295(f295(f297(f910(x96025,x96025)),f295(f295(f217(x96025,x96025),x96022),x96021)),f295(f295(f170(f910(x96025,x96025),a897),x96024),x96023))) % 192.26/192.34 [9603]E(x96031,x96032)+E(f295(a119,f625(x96033,x96034,x96031,x96032,x96035)),x96034)+~P1(f295(f295(f297(f910(x96035,x96035)),f295(f295(f217(x96035,x96035),x96032),x96031)),f295(f295(f170(f910(x96035,x96035),a897),x96034),x96033))) % 192.26/192.34 [9604]E(x96041,f2(a902))+E(f295(a119,f617(x96042,x96041,x96043,x96044,x96045)),x96041)+~P1(f295(f295(f297(f910(x96045,x96045)),f295(f295(f217(x96045,x96045),x96044),x96043)),f295(f295(f170(f910(x96045,x96045),a897),x96041),x96042))) % 192.26/192.34 [9605]E(x96051,f2(a902))+E(f295(a119,f625(x96052,x96051,x96053,x96054,x96055)),x96051)+~P1(f295(f295(f297(f910(x96055,x96055)),f295(f295(f217(x96055,x96055),x96054),x96053)),f295(f295(f170(f910(x96055,x96055),a897),x96051),x96052))) % 192.26/192.34 [9621]P1(f295(f295(f297(f910(x96211,x96211)),f295(f295(f217(x96211,x96211),x96212),x96213)),f295(f295(f255(x96211,x96211,x96211),x96214),f273(x96211,x96214))))+~P1(f295(f295(f297(f910(x96211,x96211)),f295(f295(f217(x96211,x96211),x96212),x96215)),x96214))+~P1(f295(f295(f297(f910(x96211,x96211)),f295(f295(f217(x96211,x96211),x96215),x96213)),x96214)) % 192.26/192.34 [9628]~P1(f295(f295(f297(f910(x96281,x96281)),f295(f295(f217(x96281,x96281),x96282),x96285)),f273(x96281,x96284)))+P1(f295(f295(f297(f910(x96281,x96281)),f295(f295(f217(x96281,x96281),x96282),x96283)),f295(f295(f255(x96281,x96281,x96281),x96284),f273(x96281,x96284))))+~P1(f295(f295(f297(f910(x96281,x96281)),f295(f295(f217(x96281,x96281),x96285),x96283)),x96284)) % 192.26/192.34 [9662]~P9(x96621,x96625,x96622)+~P1(f295(f295(f297(f910(x96621,x96621)),f295(f295(f217(x96621,x96621),x96623),x96624)),x96622))+P1(f295(f295(f207(f911(x96621,a897)),f295(f252(x96621,x96621,x96622),f295(f295(f275(x96621),x96623),f176(f911(x96621,a897))))),f295(f252(x96621,x96621,x96622),f295(f295(f275(x96621),x96624),f176(f911(x96621,a897)))))) % 192.26/192.34 [9686]E(x96861,x96862)+P1(f295(f295(f295(f295(a184,x96863),x96861),x96864),f364(x96862,x96864,x96861,x96863,x96865)))+~P1(f295(f295(f295(f295(a184,f32(x96865,x96863)),x96861),x96864),x96862)) % 192.26/192.34 [9690]~P1(f295(x96905,x96902))+P1(f295(f295(f295(f295(a184,x96901),x96902),x96903),f364(x96904,x96903,x96902,x96901,x96905)))+~P1(f295(f295(f295(f295(a184,f32(x96905,x96901)),x96902),x96903),x96904)) % 192.26/192.34 [9720]P1(f295(f295(f297(f910(x97201,x97201)),f295(f295(f217(x97201,x97201),x97202),x97203)),f295(f295(f255(x97201,x97201,x97201),x97204),f273(x97201,x97204))))+~P1(f295(f295(f297(f910(x97201,x97201)),f295(f295(f217(x97201,x97201),x97202),x97205)),f295(f295(f255(x97201,x97201,x97201),x97204),f273(x97201,x97204))))+~P1(f295(f295(f297(f910(x97201,x97201)),f295(f295(f217(x97201,x97201),x97205),x97203)),x97204)) % 192.26/192.34 [9721]P1(f295(f295(f297(f910(x97211,x97211)),f295(f295(f217(x97211,x97211),x97212),x97213)),f295(f295(f255(x97211,x97211,x97211),x97214),f273(x97211,x97214))))+~P1(f295(f295(f297(f910(x97211,x97211)),f295(f295(f217(x97211,x97211),x97215),x97213)),f295(f295(f255(x97211,x97211,x97211),x97214),f273(x97211,x97214))))+~P1(f295(f295(f297(f910(x97211,x97211)),f295(f295(f217(x97211,x97211),x97212),x97215)),x97214)) % 192.26/192.34 [9769]~P1(f295(f67(x97691,x97691,x97694,x97692,x97693),x97695))+P1(f295(f295(f297(x97691),x97692),x97693))+P1(f295(f63(x97691,x97694,f295(f295(f275(x97691),x97692),x97693)),x97695)) % 192.26/192.34 [9806]~E(f295(f276(x98063,x98062,x98065),x98064),x98061)+E(x98061,f176(f911(x98062,a897)))+P1(f295(f295(f207(f911(x98063,a897)),f295(f276(x98062,x98063,f350(x98064,x98063,x98062,x98061)),x98061)),x98064)) % 192.26/192.34 [9861]~P6(x98615)+P1(f295(f295(f297(x98611),f875(x98612,x98613,x98614,x98611,x98615)),x98614))+P1(f295(f295(f207(x98615),f295(f295(f44(x98611,x98615),x98614),x98613)),x98612)) % 192.26/192.34 [9862]~P6(x98625)+P1(f295(f295(f297(x98621),f891(x98622,x98623,x98624,x98621,x98625)),x98624))+P1(f295(f295(f207(x98625),f295(f295(f44(x98621,x98625),x98624),x98623)),x98622)) % 192.26/192.34 [9915]P34(x99151,x99152,x99153,x99154,x99155)+~E(f295(f177(f903(x99151)),x99154),f295(f177(f903(x99152)),x99155))+P1(f295(f295(f297(f910(x99151,x99152)),f694(x99155,x99154,x99153,x99152,x99151)),f295(f160(f910(x99151,x99152)),f295(f295(f168(x99151,x99152),x99154),x99155)))) % 192.26/192.34 [9916]P34(x99161,x99162,x99163,x99164,x99165)+~E(f295(f177(f903(x99161)),x99164),f295(f177(f903(x99162)),x99165))+P1(f295(f295(f297(f910(x99161,x99162)),f696(x99163,x99165,x99164,x99162,x99161)),f295(f160(f910(x99161,x99162)),f295(f295(f168(x99161,x99162),x99164),x99165)))) % 192.26/192.34 [10039]E(x100391,x100392)+P1(f295(f295(f295(f295(a184,f32(x100393,x100394)),f364(x100391,x100395,x100392,x100394,x100393)),x100395),x100391))+~P1(f295(f295(f295(f295(a184,f32(x100393,x100394)),x100392),x100395),x100391)) % 192.26/192.34 [10040]~P1(f295(x100401,x100405))+P1(f295(f295(f295(f295(a184,f32(x100401,x100402)),f364(x100403,x100404,x100405,x100402,x100401)),x100404),x100403))+~P1(f295(f295(f295(f295(a184,f32(x100401,x100402)),x100405),x100404),x100403)) % 192.26/192.34 [10043]E(x100431,x100432)+P1(f295(f295(f297(f910(x100433,x100433)),f295(f295(f217(x100433,x100433),x100431),f626(x100434,x100435,x100432,x100431,x100433))),x100434))+~P1(f295(f295(f297(f910(x100433,x100433)),f295(f295(f217(x100433,x100433),x100431),x100432)),f295(f295(f170(f910(x100433,x100433),a897),x100435),x100434))) % 192.26/192.34 [10044]E(x100441,f2(a902))+P1(f295(f295(f297(f910(x100442,x100442)),f295(f295(f217(x100442,x100442),x100443),f626(x100444,x100441,x100445,x100443,x100442))),x100444))+~P1(f295(f295(f297(f910(x100442,x100442)),f295(f295(f217(x100442,x100442),x100443),x100445)),f295(f295(f170(f910(x100442,x100442),a897),x100441),x100444))) % 192.26/192.34 [10085]~P6(x100851)+~P1(f295(f295(f207(x100851),f295(x100854,f875(x100855,x100854,x100853,x100852,x100851))),x100855))+P1(f295(f295(f207(x100851),f295(f295(f44(x100852,x100851),x100853),x100854)),x100855)) % 192.26/192.34 [10086]~P6(x100861)+~P1(f295(f295(f207(x100861),f295(x100864,f891(x100865,x100864,x100863,x100862,x100861))),x100865))+P1(f295(f295(f207(x100861),f295(f295(f44(x100862,x100861),x100863),x100864)),x100865)) % 192.26/192.34 [10133]E(x101331,x101332)+P1(f295(f295(f297(f910(x101333,x101333)),f295(f295(f217(x101333,x101333),f618(x101334,x101335,x101331,x101332,x101333)),x101331)),x101334))+~P1(f295(f295(f297(f910(x101333,x101333)),f295(f295(f217(x101333,x101333),x101332),x101331)),f295(f295(f170(f910(x101333,x101333),a897),x101335),x101334))) % 192.26/192.34 [10134]E(x101341,f2(a902))+P1(f295(f295(f297(f910(x101342,x101342)),f295(f295(f217(x101342,x101342),f618(x101343,x101341,x101344,x101345,x101342)),x101344)),x101343))+~P1(f295(f295(f297(f910(x101342,x101342)),f295(f295(f217(x101342,x101342),x101345),x101344)),f295(f295(f170(f910(x101342,x101342),a897),x101341),x101343))) % 192.26/192.34 [10138]E(x101381,x101382)+P1(f295(f295(f297(f910(x101383,x101383)),f295(f295(f217(x101383,x101383),x101381),f618(x101384,x101385,x101382,x101381,x101383))),f295(f295(f170(f910(x101383,x101383),a897),f617(x101384,x101385,x101382,x101381,x101383)),x101384)))+~P1(f295(f295(f297(f910(x101383,x101383)),f295(f295(f217(x101383,x101383),x101381),x101382)),f295(f295(f170(f910(x101383,x101383),a897),x101385),x101384))) % 192.26/192.34 [10139]E(x101391,f2(a902))+P1(f295(f295(f297(f910(x101392,x101392)),f295(f295(f217(x101392,x101392),x101393),f618(x101394,x101391,x101395,x101393,x101392))),f295(f295(f170(f910(x101392,x101392),a897),f617(x101394,x101391,x101395,x101393,x101392)),x101394)))+~P1(f295(f295(f297(f910(x101392,x101392)),f295(f295(f217(x101392,x101392),x101393),x101395)),f295(f295(f170(f910(x101392,x101392),a897),x101391),x101394))) % 192.26/192.34 [10197]E(x101971,x101972)+P1(f295(f295(f297(f910(x101973,x101973)),f295(f295(f217(x101973,x101973),f626(x101974,x101975,x101971,x101972,x101973)),x101971)),f295(f295(f170(f910(x101973,x101973),a897),f625(x101974,x101975,x101971,x101972,x101973)),x101974)))+~P1(f295(f295(f297(f910(x101973,x101973)),f295(f295(f217(x101973,x101973),x101972),x101971)),f295(f295(f170(f910(x101973,x101973),a897),x101975),x101974))) % 192.26/192.34 [10198]E(x101981,f2(a902))+P1(f295(f295(f297(f910(x101982,x101982)),f295(f295(f217(x101982,x101982),f626(x101983,x101981,x101984,x101985,x101982)),x101984)),f295(f295(f170(f910(x101982,x101982),a897),f625(x101983,x101981,x101984,x101985,x101982)),x101983)))+~P1(f295(f295(f297(f910(x101982,x101982)),f295(f295(f217(x101982,x101982),x101985),x101984)),f295(f295(f170(f910(x101982,x101982),a897),x101981),x101983))) % 192.26/192.34 [10265]~P77(x102652)+~P1(f295(f62(x102651),x102655))+E(f295(f295(f6(x102651,x102652),f295(f295(f7(x102651,x102652,x102652),f295(f295(f18(x102651,x102652,f911(x102652,x102652)),f295(f295(f8(a897,f911(x102652,f911(x102652,x102652)),x102651),f103(x102652)),f295(f295(f7(x102651,f911(x102651,a897),a897),f297(x102651)),x102653))),x102654)),f2(x102652))),x102655),f295(f295(f6(x102651,x102652),x102654),f295(f295(f108(f911(x102651,a897)),x102655),x102653))) % 192.26/192.34 [8795]~P77(x87951)+~P1(f295(f62(x87954),x87955))+E(f295(f295(f83(x87951),f295(x87952,x87953)),f295(f295(f6(x87954,x87951),x87952),f295(f295(f23(f911(x87954,a897)),x87955),f295(f295(f275(x87954),x87953),f176(f911(x87954,a897)))))),f295(f295(f6(x87954,x87951),x87952),f295(f295(f275(x87954),x87953),x87955))) % 192.26/192.34 [8796]~P83(x87961)+~P1(f295(f62(x87964),x87965))+E(f295(f295(f84(x87961),f295(x87962,x87963)),f295(f295(f9(x87964,x87961),x87962),f295(f295(f23(f911(x87964,a897)),x87965),f295(f295(f275(x87964),x87963),f176(f911(x87964,a897)))))),f295(f295(f9(x87964,x87961),x87962),f295(f295(f275(x87964),x87963),x87965))) % 192.26/192.34 [9140]~P114(x91402)+~P12(x91402,f295(f157(x91402),f295(f295(f143(x91401,x91402),x91404),x91405)))+E(f295(f125(x91401,f295(f295(f8(x91402,a897,x91401),f295(f208(x91402),x91403)),x91404)),x91405),f164(x91401,f295(f295(f8(x91402,a897,x91401),f295(f208(x91402),x91403)),x91404),x91405)) % 192.26/192.34 [9167]~P77(x91671)+E(f295(f295(f83(x91671),f295(f295(f6(a902,x91671),x91672),f269(a902,x91673,x91674))),f295(f295(f6(a902,x91671),x91672),f269(a902,f295(f295(f83(a902),x91674),f81(a902)),f295(f295(f83(a902),x91674),x91675)))),f295(f295(f6(a902,x91671),x91672),f269(a902,x91673,f295(f295(f83(a902),x91674),x91675))))+~P1(f295(f295(f207(a902),x91673),f295(f295(f83(a902),x91674),f81(a902)))) % 192.26/192.34 [9168]~P1(f295(f295(f297(x91681),x91684),x91685))+~P1(f295(f295(f207(f911(x91681,a897)),f295(f160(x91681),x91682)),x91685))+P1(f295(f295(f207(f911(x91681,a897)),f295(f160(x91681),f295(f295(f148(x91681,x91682),x91683),x91684))),x91685)) % 192.26/192.34 [9384]~P6(x93842)+~P1(f295(f62(x93841),x93845))+E(f295(f295(f65(x93841,x93842,f295(f295(f8(x93842,f911(x93842,x93842),x93841),f117(x93842)),x93843)),x93844),x93845),f295(f295(f117(x93842),x93844),f295(f295(f44(x93841,x93842),x93845),x93843))) % 192.26/192.34 [9385]~P6(x93852)+~P1(f295(f62(x93851),x93855))+E(f295(f295(f65(x93851,x93852,f295(f295(f8(x93852,f911(x93852,x93852),x93851),f108(x93852)),x93853)),x93854),x93855),f295(f295(f108(x93852),x93854),f295(f295(f43(x93851,x93852),x93855),x93853))) % 192.26/192.34 [9435]E(f295(x94351,x94352),f295(x94351,x94353))+P1(f295(f295(f208(a902),f295(x94351,x94352)),f295(x94351,x94353)))+~P1(f295(f295(f297(f910(x94354,x94354)),f295(f295(f217(x94354,x94354),x94352),x94353)),f142(x94354,f295(f295(f140(f911(x94354,a902)),x94351),x94355)))) % 192.26/192.34 [9463]~E(f295(x94634,x94632),f295(x94634,x94633))+~P1(f295(f295(f297(f910(x94631,x94631)),f295(f295(f217(x94631,x94631),x94632),x94633)),f142(x94631,x94635)))+P1(f295(f295(f297(f910(x94631,x94631)),f295(f295(f217(x94631,x94631),x94632),x94633)),f142(x94631,f295(f295(f140(f911(x94631,a902)),x94634),x94635)))) % 192.26/192.34 [9486]~P24(x94861,x94862,x94863,x94865)+P24(x94861,x94862,x94863,f295(f295(f275(x94861),x94864),x94865))+P1(f295(f295(f297(x94862),f295(x94863,x94864)),f295(f276(x94861,x94862,x94863),f295(f295(f23(f911(x94861,a897)),x94865),f295(f295(f275(x94861),x94864),f176(f911(x94861,a897))))))) % 192.26/192.34 [9490]P1(f295(x94902,x94905))+~P1(f295(f295(f297(x94901),x94905),f295(f160(x94901),x94903)))+E(f295(f295(f127(x94901),f295(f177(f903(x94901)),f164(x94901,x94902,f295(f295(f122(x94901),x94903),x94904)))),f295(f295(f122(x94901),x94903),x94904)),f295(f295(f122(x94901),f295(f295(f127(x94901),f295(f177(f903(x94901)),f164(x94901,x94902,x94903))),x94903)),x94904)) % 192.26/192.34 [9495]~P1(f295(f295(f297(f910(x94951,x94951)),f295(f295(f217(x94951,x94951),x94952),x94953)),f142(x94951,x94955)))+~P1(f295(f295(f207(a902),f295(x94954,x94952)),f295(x94954,x94953)))+P1(f295(f295(f297(f910(x94951,x94951)),f295(f295(f217(x94951,x94951),x94952),x94953)),f142(x94951,f295(f295(f140(f911(x94951,a902)),x94954),x94955)))) % 192.26/192.34 [9553]P1(f295(f295(f297(f910(x95534,x95534)),f295(f295(f217(x95534,x95534),x95532),x95533)),f142(x95534,x95535)))+P1(f295(f295(f208(a902),f295(x95531,x95532)),f295(x95531,x95533)))+~P1(f295(f295(f297(f910(x95534,x95534)),f295(f295(f217(x95534,x95534),x95532),x95533)),f142(x95534,f295(f295(f140(f911(x95534,a902)),x95531),x95535)))) % 192.26/192.34 [9693]~P1(f295(f295(f297(f910(f903(x96931),f903(x96931))),f295(f295(f217(f903(x96931),f903(x96931)),x96932),x96934)),f147(x96931,x96935)))+~P1(f295(f295(f208(a902),x96933),f295(f177(f903(x96931)),x96932)))+P1(f295(f295(f297(f910(x96931,x96931)),f295(f295(f217(x96931,x96931),f295(f295(f153(x96931),x96932),x96933)),f295(f295(f153(x96931),x96934),x96933))),x96935)) % 192.26/192.34 [9936]E(x99361,f2(a1))+~P1(f295(f50(x99363,x99361),f295(f295(f217(a1,a1),x99364),x99365)))+P1(f295(f50(f295(f295(f84(a1),x99362),x99363),x99361),f295(f295(f217(a1,a1),f295(f295(f83(a1),f295(f295(f84(a1),x99362),x99364)),f295(f295(f40(a1),f295(f295(f84(a1),x99362),x99365)),x99361))),f46(a1,f295(f295(f84(a1),x99362),x99365),x99361)))) % 192.26/192.34 [9937]~P1(f295(f295(f208(a902),f2(a902)),x99373))+~P1(f295(f49(x99372,x99373),f295(f295(f217(a902,a902),x99374),x99375)))+P1(f295(f49(f295(f295(f84(a902),x99371),x99372),x99373),f295(f295(f217(a902,a902),f295(f295(f83(a902),f295(f295(f84(a902),x99371),x99374)),f295(f295(f40(a902),f295(f295(f84(a902),x99371),x99375)),x99373))),f46(a902,f295(f295(f84(a902),x99371),x99375),x99373)))) % 192.26/192.34 [10291]~P77(x102912)+~P1(f295(f62(x102911),x102914))+E(f295(f295(f6(x102911,x102912),x102913),f295(f212(x102911),f295(f295(f18(x102911,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102911),a293),f295(f295(f7(x102911,f911(x102911,a897),a897),f297(x102911)),x102914))),f295(f295(f7(x102911,f911(x102911,a897),a897),f297(x102911)),x102915)))),f295(f295(f6(x102911,x102912),f295(f295(f7(x102911,x102912,x102912),f295(f295(f18(x102911,x102912,f911(x102912,x102912)),f295(f295(f8(a897,f911(x102912,f911(x102912,x102912)),x102911),f103(x102912)),f295(f295(f7(x102911,f911(x102911,a897),a897),f297(x102911)),x102915))),x102913)),f2(x102912))),x102914)) % 192.26/192.34 [8409]~E(f295(f295(f122(x84091),x84092),x84095),f295(f295(f122(x84091),x84093),x84094))+E(f295(f295(f122(x84091),f295(f295(f127(x84091),f295(f177(f903(x84091)),x84092)),x84093)),x84094),x84095)+P1(f295(f295(f207(a902),f295(f177(f903(x84091)),x84093)),f295(f177(f903(x84091)),x84092))) % 192.26/192.34 [8607]~E(f295(f295(f122(x86072),x86073),x86071),f295(f295(f122(x86072),x86074),x86075))+E(x86071,f295(f295(f122(x86072),f295(f295(f127(x86072),f295(f177(f903(x86072)),x86073)),x86074)),x86075))+~P1(f295(f295(f207(a902),f295(f177(f903(x86072)),x86073)),f295(f177(f903(x86072)),x86074))) % 192.26/192.34 [8696]~E(f295(f295(f83(a902),f295(f295(f84(a902),x86963),x86964)),x86961),f295(f295(f83(a902),f295(f295(f84(a902),x86962),x86964)),x86965))+~P1(f295(f295(f207(a902),x86963),x86962))+E(x86961,f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x86962),x86963)),x86964)),x86965)) % 192.26/192.34 [8697]~E(f295(f295(f83(a902),f295(f295(f84(a902),x86971),x86973)),x86974),f295(f295(f83(a902),f295(f295(f84(a902),x86972),x86973)),x86975))+~P1(f295(f295(f207(a902),x86972),x86971))+E(f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x86971),x86972)),x86973)),x86974),x86975) % 192.26/192.34 [8875]E(f295(f295(f83(a902),f295(f295(f84(a902),x88751),x88752)),x88753),f295(f295(f83(a902),f295(f295(f84(a902),x88754),x88752)),x88755))+~P1(f295(f295(f207(a902),x88754),x88751))+~E(x88755,f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x88751),x88754)),x88752)),x88753)) % 192.26/192.34 [8876]E(f295(f295(f83(a902),f295(f295(f84(a902),x88761),x88762)),x88763),f295(f295(f83(a902),f295(f295(f84(a902),x88764),x88762)),x88765))+~P1(f295(f295(f207(a902),x88764),x88761))+~E(f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x88761),x88764)),x88762)),x88763),x88765) % 192.26/192.34 [9745]~P72(x97452)+~P1(f295(f62(x97451),x97455))+E(f295(f295(f9(x97451,x97452),f295(f295(f18(x97451,x97452,x97452),f295(f295(f8(x97452,f911(x97452,x97452),x97451),f256(x97452)),x97453)),x97454)),x97455),f295(f295(f256(x97452),f295(f295(f9(x97451,x97452),x97453),x97455)),f295(f295(f9(x97451,x97452),x97454),x97455))) % 192.26/192.34 [9880]~E(f785(x98805,x98804,x98803,x98802,x98801),f786(x98805,x98804,x98803,x98802,x98801))+P1(f295(f295(f297(f910(x98801,x98801)),f295(f295(f217(x98801,x98801),x98802),x98803)),f273(x98801,x98804)))+~P1(f295(f295(f297(f910(x98801,x98801)),f295(f295(f217(x98801,x98801),x98802),x98803)),f273(x98801,f295(f295(f117(f911(f910(x98801,x98801),a897)),x98804),x98805)))) % 192.26/192.34 [9881]~E(f787(x98815,x98814,x98813,x98812,x98811),f788(x98815,x98814,x98813,x98812,x98811))+P1(f295(f295(f297(f910(x98811,x98811)),f295(f295(f217(x98811,x98811),x98812),x98813)),f273(x98811,x98814)))+~P1(f295(f295(f297(f910(x98811,x98811)),f295(f295(f217(x98811,x98811),x98812),x98813)),f273(x98811,f295(f295(f117(f911(f910(x98811,x98811),a897)),x98814),x98815)))) % 192.26/192.34 [10075]P1(f295(f295(f297(f910(x100751,x100751)),f295(f295(f217(x100751,x100751),x100752),f786(x100755,x100754,x100753,x100752,x100751))),f273(x100751,x100754)))+P1(f295(f295(f297(f910(x100751,x100751)),f295(f295(f217(x100751,x100751),x100752),x100753)),f273(x100751,x100754)))+~P1(f295(f295(f297(f910(x100751,x100751)),f295(f295(f217(x100751,x100751),x100752),x100753)),f273(x100751,f295(f295(f117(f911(f910(x100751,x100751),a897)),x100754),x100755)))) % 192.26/192.34 [10160]P1(f295(f295(f297(f910(x101601,x101601)),f295(f295(f217(x101601,x101601),f788(x101605,x101604,x101603,x101602,x101601)),x101603)),f273(x101601,x101604)))+P1(f295(f295(f297(f910(x101601,x101601)),f295(f295(f217(x101601,x101601),x101602),x101603)),f273(x101601,x101604)))+~P1(f295(f295(f297(f910(x101601,x101601)),f295(f295(f217(x101601,x101601),x101602),x101603)),f273(x101601,f295(f295(f117(f911(f910(x101601,x101601),a897)),x101604),x101605)))) % 192.26/192.34 [10205]P1(f295(f295(f297(f910(x102051,x102051)),f295(f295(f217(x102051,x102051),x102052),x102053)),f273(x102051,x102054)))+P1(f295(f295(f297(f910(x102051,x102051)),f295(f295(f217(x102051,x102051),f786(x102055,x102054,x102053,x102052,x102051)),f785(x102055,x102054,x102053,x102052,x102051))),x102055))+~P1(f295(f295(f297(f910(x102051,x102051)),f295(f295(f217(x102051,x102051),x102052),x102053)),f273(x102051,f295(f295(f117(f911(f910(x102051,x102051),a897)),x102054),x102055)))) % 192.26/192.34 [10206]P1(f295(f295(f297(f910(x102061,x102061)),f295(f295(f217(x102061,x102061),x102062),x102063)),f273(x102061,x102064)))+P1(f295(f295(f297(f910(x102061,x102061)),f295(f295(f217(x102061,x102061),f787(x102065,x102064,x102063,x102062,x102061)),f788(x102065,x102064,x102063,x102062,x102061))),x102065))+~P1(f295(f295(f297(f910(x102061,x102061)),f295(f295(f217(x102061,x102061),x102062),x102063)),f273(x102061,f295(f295(f117(f911(f910(x102061,x102061),a897)),x102064),x102065)))) % 192.26/192.34 [10394]~P1(f295(f295(f297(f910(f903(x103941),f903(x103941))),f295(f295(f217(f903(x103941),f903(x103941)),x103944),x103945)),f147(x103941,x103942)))+~P1(f295(f295(f297(f910(x103941,x103941)),x103943),f295(f160(f910(x103941,x103941)),f295(f295(f168(x103941,x103941),x103944),x103945))))+P1(f295(f295(f228(x103941,x103941,a897),f295(f295(f7(x103941,f911(f910(x103941,x103941),a897),f911(x103941,a897)),f295(f295(f8(f911(x103941,f911(f911(f910(x103941,x103941),a897),a897)),f911(f911(f910(x103941,x103941),a897),f911(x103941,a897)),x103941),f7(x103941,f911(f910(x103941,x103941),a897),a897)),f295(f295(f8(f911(x103941,f910(x103941,x103941)),f911(x103941,f911(f911(f910(x103941,x103941),a897),a897)),x103941),f295(f8(f910(x103941,x103941),f911(f911(f910(x103941,x103941),a897),a897),x103941),f297(f910(x103941,x103941)))),f217(x103941,x103941)))),x103942)),x103943)) % 192.26/192.34 [9773]~P1(f295(f295(f207(a902),x97733),x97732))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),f295(f295(f84(a902),x97733),x97734)),x97731)),f295(f295(f83(a902),f295(f295(f84(a902),x97732),x97734)),x97735)))+P1(f295(f295(f207(a902),x97731),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x97732),x97733)),x97734)),x97735))) % 192.26/192.34 [9774]~P1(f295(f295(f207(a902),x97743),x97742))+~P1(f295(f295(f208(a902),f295(f295(f83(a902),f295(f295(f84(a902),x97743),x97744)),x97741)),f295(f295(f83(a902),f295(f295(f84(a902),x97742),x97744)),x97745)))+P1(f295(f295(f208(a902),x97741),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x97742),x97743)),x97744)),x97745))) % 192.26/192.34 [9790]~P1(f295(f295(f207(a902),x97901),x97904))+P1(f295(f295(f207(a902),f295(f295(f83(a902),f295(f295(f84(a902),x97901),x97902)),x97903)),f295(f295(f83(a902),f295(f295(f84(a902),x97904),x97902)),x97905)))+~P1(f295(f295(f207(a902),x97903),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x97904),x97901)),x97902)),x97905))) % 192.26/192.34 [9791]~P1(f295(f295(f207(a902),x97911),x97914))+P1(f295(f295(f208(a902),f295(f295(f83(a902),f295(f295(f84(a902),x97911),x97912)),x97913)),f295(f295(f83(a902),f295(f295(f84(a902),x97914),x97912)),x97915)))+~P1(f295(f295(f208(a902),x97913),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x97914),x97911)),x97912)),x97915))) % 192.26/192.34 [9913]~P1(f295(f295(f207(a902),x99132),x99131))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),f295(f295(f84(a902),x99131),x99133)),x99134)),f295(f295(f83(a902),f295(f295(f84(a902),x99132),x99133)),x99135)))+P1(f295(f295(f207(a902),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x99131),x99132)),x99133)),x99134)),x99135)) % 192.26/192.34 [9914]~P1(f295(f295(f207(a902),x99142),x99141))+~P1(f295(f295(f208(a902),f295(f295(f83(a902),f295(f295(f84(a902),x99141),x99143)),x99144)),f295(f295(f83(a902),f295(f295(f84(a902),x99142),x99143)),x99145)))+P1(f295(f295(f208(a902),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x99141),x99142)),x99143)),x99144)),x99145)) % 192.26/192.34 [9954]~P1(f295(f295(f207(a902),x99544),x99541))+P1(f295(f295(f207(a902),f295(f295(f83(a902),f295(f295(f84(a902),x99541),x99542)),x99543)),f295(f295(f83(a902),f295(f295(f84(a902),x99544),x99542)),x99545)))+~P1(f295(f295(f207(a902),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x99541),x99544)),x99542)),x99543)),x99545)) % 192.26/192.34 [9955]~P1(f295(f295(f207(a902),x99554),x99551))+P1(f295(f295(f208(a902),f295(f295(f83(a902),f295(f295(f84(a902),x99551),x99552)),x99553)),f295(f295(f83(a902),f295(f295(f84(a902),x99554),x99552)),x99555)))+~P1(f295(f295(f208(a902),f295(f295(f83(a902),f295(f295(f84(a902),f295(f295(f23(a902),x99551),x99554)),x99552)),x99553)),x99555)) % 192.26/192.34 [10192]~P10(x101921,x101922,x101925,x101923)+~P1(f295(f295(f297(f910(x101921,x101921)),x101924),x101925))+P1(f295(f295(f228(x101921,x101921,a897),f295(f295(f7(x101921,f911(x101921,x101922),f911(x101921,a897)),f295(f295(f8(f911(x101922,a897),f911(f911(x101921,x101922),f911(x101921,a897)),x101921),f8(x101922,a897,x101921)),f295(f295(f8(x101922,f911(x101922,a897),x101921),a292),x101923))),x101923)),x101924)) % 192.26/192.34 [6687]~P42(x66875,x66876,x66871,x66874)+E(f295(f295(x66871,x66872),x66873),x66873)+~E(f295(x66872,f295(x66874,x66873)),f295(x66874,x66873)) % 192.26/192.34 [8081]~P18(x80816,x80811,x80812,x80814)+E(f295(f295(f74(x80811,x80811,x80811),f295(x80812,x80813)),f295(x80814,x80815)),f295(f295(f74(x80811,x80811,x80811),f295(x80814,x80815)),f295(x80812,x80813)))+~P1(f295(f62(x80816),x80815)) % 192.26/192.34 [9586]~P1(f295(f295(x95864,x95862),x95866))+~P1(f295(f295(x95863,x95865),x95862))+P1(f295(f295(f297(x95861),x95862),f263(x95861,x95863,x95864,x95865,x95866))) % 192.26/192.34 [9587]~P1(f295(f295(x95873,x95872),x95876))+~P1(f295(f295(x95874,x95875),x95872))+P1(f295(f295(f297(x95871),x95872),f266(x95871,x95873,x95874,x95875,x95876))) % 192.26/192.34 [9694]E(x96941,x96942)+E(x96943,x96944)+~P1(f295(f295(f297(f910(f903(x96945),f903(x96945))),f295(f295(f217(f903(x96945),f903(x96945)),f295(f295(f140(x96945),x96943),x96941)),f295(f295(f140(x96945),x96944),x96942))),f146(x96945,x96946))) % 192.26/192.34 [9702]~E(x97022,x97024)+P1(f295(f295(f297(f910(f903(x97021),f903(x97021))),f295(f295(f217(f903(x97021),f903(x97021)),f295(f295(f122(x97021),x97022),x97023)),f295(f295(f122(x97021),x97024),x97025))),f146(x97021,x97026)))+~P1(f295(f295(f297(f910(f903(x97021),f903(x97021))),f295(f295(f217(f903(x97021),f903(x97021)),x97023),x97025)),f146(x97021,x97026))) % 192.26/192.34 [9703]~E(x97032,x97034)+P1(f295(f295(f297(f910(f903(x97031),f903(x97031))),f295(f295(f217(f903(x97031),f903(x97031)),f295(f295(f140(x97031),x97032),x97033)),f295(f295(f140(x97031),x97034),x97035))),f134(x97031,x97036)))+~P1(f295(f295(f297(f910(f903(x97031),f903(x97031))),f295(f295(f217(f903(x97031),f903(x97031)),x97033),x97035)),f134(x97031,x97036))) % 192.26/192.34 [9704]~E(x97042,x97044)+P1(f295(f295(f297(f910(f903(x97041),f903(x97041))),f295(f295(f217(f903(x97041),f903(x97041)),f295(f295(f140(x97041),x97042),x97043)),f295(f295(f140(x97041),x97044),x97045))),f136(x97041,x97046)))+~P1(f295(f295(f297(f910(f903(x97041),f903(x97041))),f295(f295(f217(f903(x97041),f903(x97041)),x97043),x97045)),f136(x97041,x97046))) % 192.26/192.34 [9705]~E(x97052,x97054)+P1(f295(f295(f297(f910(f903(x97051),f903(x97051))),f295(f295(f217(f903(x97051),f903(x97051)),f295(f295(f140(x97051),x97052),x97053)),f295(f295(f140(x97051),x97054),x97055))),f146(x97051,x97056)))+~P1(f295(f295(f297(f910(f903(x97051),f903(x97051))),f295(f295(f217(f903(x97051),f903(x97051)),x97053),x97055)),f146(x97051,x97056))) % 192.26/192.34 [9706]~E(x97063,x97065)+P1(f295(f295(f297(f910(f903(x97061),f903(x97061))),f295(f295(f217(f903(x97061),f903(x97061)),f295(f295(f122(x97061),x97062),x97063)),f295(f295(f122(x97061),x97064),x97065))),f146(x97061,x97066)))+~P1(f295(f295(f297(f910(f903(x97061),f903(x97061))),f295(f295(f217(f903(x97061),f903(x97061)),x97062),x97064)),f146(x97061,x97066))) % 192.26/192.34 [9761]E(x97611,x97612)+P1(f295(f295(f297(f910(f903(x97613),f903(x97613))),f295(f295(f217(f903(x97613),f903(x97613)),x97611),x97612)),f146(x97613,x97614)))+~P1(f295(f295(f297(f910(f903(x97613),f903(x97613))),f295(f295(f217(f903(x97613),f903(x97613)),f295(f295(f140(x97613),x97615),x97611)),f295(f295(f140(x97613),x97616),x97612))),f146(x97613,x97614))) % 192.26/192.34 [9917]~E(x99173,x99175)+P1(f295(f295(f297(f910(f903(x99171),f903(x99171))),f295(f295(f217(f903(x99171),f903(x99171)),f295(f295(f122(x99171),x99172),f295(f295(f140(x99171),x99173),f120(x99171)))),f295(f295(f122(x99171),x99174),f295(f295(f140(x99171),x99175),f120(x99171))))),f146(x99171,x99176)))+~P1(f295(f295(f297(f910(f903(x99171),f903(x99171))),f295(f295(f217(f903(x99171),f903(x99171)),x99172),x99174)),f146(x99171,x99176))) % 192.26/192.34 [9958]E(x99581,x99582)+E(x99583,x99584)+~P1(f295(f295(f297(f910(f903(x99585),f903(x99585))),f295(f295(f217(f903(x99585),f903(x99585)),f295(f295(f122(x99585),x99583),f295(f295(f140(x99585),x99581),f120(x99585)))),f295(f295(f122(x99585),x99584),f295(f295(f140(x99585),x99582),f120(x99585))))),f146(x99585,x99586))) % 192.26/192.34 [9987]E(x99871,x99872)+~P1(f295(f295(f297(f910(f903(x99873),f903(x99873))),f295(f295(f217(f903(x99873),f903(x99873)),f295(f295(f122(x99873),x99871),f295(f295(f140(x99873),x99875),f120(x99873)))),f295(f295(f122(x99873),x99872),f295(f295(f140(x99873),x99876),f120(x99873))))),f146(x99873,x99874)))+P1(f295(f295(f297(f910(f903(x99873),f903(x99873))),f295(f295(f217(f903(x99873),f903(x99873)),x99871),x99872)),f146(x99873,x99874))) % 192.26/192.34 [10024]~P1(f295(f295(f297(f910(f911(x100241,a897),f911(x100241,a897))),f295(f295(f217(f911(x100241,a897),f911(x100241,a897)),x100242),x100244)),f287(x100241,x100246)))+~P1(f295(f295(f297(f910(f911(x100241,a897),f911(x100241,a897))),f295(f295(f217(f911(x100241,a897),f911(x100241,a897)),x100243),x100245)),f287(x100241,x100246)))+P1(f295(f295(f297(f910(f911(x100241,a897),f911(x100241,a897))),f295(f295(f217(f911(x100241,a897),f911(x100241,a897)),f295(f295(f117(f911(x100241,a897)),x100242),x100243)),f295(f295(f117(f911(x100241,a897)),x100244),x100245))),f287(x100241,x100246))) % 192.26/192.34 [5829]~E(f295(f295(f122(x58291),x58296),x58293),x58295)+E(f295(f295(f122(x58291),x58292),x58293),f295(f295(f122(x58291),x58294),x58295))+~E(x58292,f295(f295(f122(x58291),x58294),x58296)) % 192.26/192.34 [5831]~E(f295(f295(f122(x58311),x58312),x58316),x58314)+E(f295(f295(f122(x58311),x58312),x58313),f295(f295(f122(x58311),x58314),x58315))+~E(x58313,f295(f295(f122(x58311),x58316),x58315)) % 192.26/192.34 [5832]~E(f295(f295(f122(x58321),x58326),x58325),x58323)+E(f295(f295(f140(x58321),x58322),x58323),f295(f295(f122(x58321),x58324),x58325))+~E(x58324,f295(f295(f140(x58321),x58322),x58326)) % 192.26/192.34 [5834]~E(f295(f295(f140(x58341),x58342),x58346),x58344)+E(f295(f295(f140(x58341),x58342),x58343),f295(f295(f122(x58341),x58344),x58345))+~E(x58343,f295(f295(f122(x58341),x58346),x58345)) % 192.26/192.34 [6949]E(f295(x69491,x69492),f295(x69493,x69492))+~E(f295(f295(f143(x69494,x69495),x69491),x69496),f295(f295(f143(x69494,x69495),x69493),x69496))+~P1(f295(f295(f297(x69494),x69492),f295(f160(x69494),x69496))) % 192.26/192.34 [7333]~P18(x73334,x73335,x73336,x73331)+E(f295(f295(x73331,x73332),x73333),f295(f295(f65(x73334,x73335,x73336),x73333),x73332))+~P1(f295(f62(x73334),x73332)) % 192.26/192.34 [7405]~E(x74052,f295(x74054,x74056))+~P1(f295(f295(f297(x74053),x74056),x74055))+P1(f295(f295(f297(x74051),x74052),f295(f276(x74053,x74051,x74054),x74055))) % 192.26/192.34 [7406]~E(f295(x74064,x74062),x74066)+~P1(f295(f295(f297(x74063),x74066),x74065))+P1(f295(f295(f297(x74061),x74062),f295(f278(x74061,x74063,x74064),x74065))) % 192.26/192.34 [7852]~P31(x78521,x78522,x78524,x78526)+P31(x78521,x78522,f295(f295(f140(x78521),x78523),x78524),f295(f295(f140(x78521),x78525),x78526))+~P1(f295(f295(x78522,x78523),x78525)) % 192.26/192.34 [8767]~P24(x87671,x87673,x87675,x87676)+~P24(x87673,x87672,x87674,f295(f276(x87671,x87673,x87675),x87676))+P24(x87671,x87672,f295(f295(f74(x87673,x87672,x87671),x87674),x87675),x87676) % 192.26/192.34 [8883]~P62(x88834,x88835,x88831,x88832,x88836)+E(f295(x88831,f295(x88832,x88833)),x88833)+~P1(f295(f295(f297(x88835),x88833),x88836)) % 192.26/192.34 [8910]~P56(x89105,x89106,x89103,x89102,x89101)+E(f295(x89101,f295(x89102,f295(x89103,x89104))),f295(x89103,x89104))+~P1(f295(f295(x89103,x89104),x89104)) % 192.26/192.34 [8911]~P56(x89112,x89114,x89111,x89115,x89116)+E(f295(x89111,f93(x89112,f295(x89111,x89113))),f295(x89111,x89113))+~P1(f295(f295(x89111,x89113),x89113)) % 192.26/192.34 [9399]~P24(x93991,x93992,x93993,x93996)+P24(x93991,x93992,f76(x93991,x93992,x93993,x93994,x93995),x93996)+P1(f295(f295(f297(x93992),x93995),f295(f276(x93991,x93992,x93993),x93996))) % 192.26/192.34 [9696]E(x96961,x96962)+E(f295(f177(f903(x96963)),x96964),f295(f177(f903(x96963)),x96965))+~P1(f295(f295(f297(f910(f903(x96963),f903(x96963))),f295(f295(f217(f903(x96963),f903(x96963)),f295(f295(f140(x96963),x96961),x96964)),f295(f295(f140(x96963),x96962),x96965))),f134(x96963,x96966))) % 192.26/192.34 [9757]~P15(x97571,x97572,x97573)+E(f295(f295(f65(x97571,x97572,x97573),x97574),x97575),x97576)+~P1(f295(f67(x97571,x97572,x97573,x97574,x97575),x97576)) % 192.26/192.34 [9764]E(f295(f177(f903(x97641)),x97642),f295(f177(f903(x97641)),x97643))+P1(f295(f295(f297(f910(f903(x97641),f903(x97641))),f295(f295(f217(f903(x97641),f903(x97641)),x97642),x97643)),f134(x97641,x97644)))+~P1(f295(f295(f297(f910(f903(x97641),f903(x97641))),f295(f295(f217(f903(x97641),f903(x97641)),f295(f295(f140(x97641),x97645),x97642)),f295(f295(f140(x97641),x97646),x97643))),f134(x97641,x97644))) % 192.26/192.34 [9784]~P1(f295(f295(f297(f910(x97841,x97841)),f295(f295(f217(x97841,x97841),x97842),x97844)),f273(x97841,x97846)))+P1(f295(f295(f297(f910(f903(x97841),f903(x97841))),f295(f295(f217(f903(x97841),f903(x97841)),f295(f295(f140(x97841),x97842),x97843)),f295(f295(f140(x97841),x97844),x97845))),f273(f903(x97841),f146(x97841,x97846))))+~P1(f295(f295(f297(f910(f903(x97841),f903(x97841))),f295(f295(f217(f903(x97841),f903(x97841)),x97843),x97845)),f273(f903(x97841),f146(x97841,x97846)))) % 192.26/192.34 [9962]~P8(x99624,x99625)+P1(f295(x99621,f295(x99622,x99623)))+~P1(f295(x99621,f295(f741(x99623,x99621,x99626,x99625,x99624),x99623))) % 192.26/192.34 [9965]~P1(f295(x99652,x99656))+~E(f295(f125(x99651,x99652),x99653),f295(f295(f140(x99651),x99654),x99655))+~P1(f295(f295(f297(x99651),x99656),f295(f160(x99651),f784(x99655,x99654,x99653,x99652,x99651)))) % 192.26/192.34 [9966]~P1(f295(x99664,x99666))+~E(f295(f295(f140(x99661),x99662),x99663),f295(f125(x99661,x99664),x99665))+~P1(f295(f295(f297(x99661),x99666),f295(f160(x99661),f768(x99665,x99664,x99663,x99662,x99661)))) % 192.26/192.34 [10190]~P8(x101904,x101906)+P1(f295(x101901,f295(x101902,x101903)))+P1(f295(f295(f297(f911(x101904,x101904)),f741(x101903,x101901,x101905,x101906,x101904)),f236(f911(x101904,x101904),f235(x101904,x101904,x101904,x101904,x101905,x101906)))) % 192.26/192.34 [10329]~P77(x103292)+E(f295(f295(f6(x103291,x103292),f295(f295(f8(f911(x103293,a897),x103292,x103291),f295(f6(x103293,x103292),x103294)),f295(f295(f8(f911(x103293,a897),f911(x103293,a897),x103291),f212(x103293)),f295(f295(f8(f911(x103293,a897),f911(x103293,a897),x103291),f295(f18(x103293,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103293),a293),f295(f295(f7(x103293,f911(x103293,a897),a897),f297(x103293)),x103295)))),f295(f7(x103293,x103291,a897),f295(f295(f8(x103291,f911(x103291,a897),x103293),a292),x103296)))))),f295(f276(x103293,x103291,x103296),x103295)),f295(f295(f6(x103293,x103292),x103294),x103295))+~P1(f295(f62(x103293),x103295)) % 192.26/192.34 [10370]~P43(x103706,x103705,x103704,x103703,x103702)+P1(f295(x103701,f448(x103701,x103702,x103703,x103704,x103705,x103706)))+~P1(f295(f295(f79(f911(x103705,a897),f911(x103706,a897),a897,a897,f79(x103706,x103705,a897,a897,x103703,f36(a897)),f36(a897)),f238(x103706,x103704)),x103701)) % 192.26/192.34 [7004]~P114(x70043)+P1(f295(x70042,x70045))+E(f295(f125(x70041,x70042),f295(f295(f137(x70041,x70043,x70044),x70045),x70046)),f295(f125(x70041,x70042),x70046)) % 192.26/192.34 [7008]P1(f295(x70081,x70082))+~E(f155(x70083,x70081,x70084),f295(f295(f217(f903(x70083),f903(x70083)),x70085),x70086))+~P1(f295(f295(f297(x70083),x70082),f295(f160(x70083),x70085))) % 192.26/192.34 [7050]~P1(f295(x70502,x70506))+~E(f155(x70501,x70502,x70503),f295(f295(f217(f903(x70501),f903(x70501)),x70504),x70505))+~P1(f295(f295(f297(x70501),x70506),f295(f160(x70501),x70505))) % 192.26/192.34 [7680]~P19(x76802,x76805,x76806,x76801)+~P1(f295(f62(x76802),x76804))+E(f295(x76801,f295(f295(f275(x76802),x76803),x76804)),f295(f295(f74(x76805,x76805,x76805),f295(x76801,x76804)),f295(x76806,x76803))) % 192.26/192.34 [7715]~P13(x77151,x77152,x77153)+~P1(f295(f62(x77151),x77156))+E(f295(f295(f65(x77151,x77152,x77153),x77154),f295(f295(f275(x77151),x77155),x77156)),f295(f295(f65(x77151,x77152,x77153),f295(f295(x77153,x77155),x77154)),x77156)) % 192.26/192.34 [7765]~P114(x77652)+~P1(f295(f295(f207(x77652),f295(x77653,x77654)),f295(x77653,x77655)))+E(f295(f295(f137(x77651,x77652,x77653),x77654),f295(f295(f140(x77651),x77655),x77656)),f295(f295(f140(x77651),x77654),f295(f295(f140(x77651),x77655),x77656))) % 192.26/192.34 [7880]E(x78801,x78802)+~E(f295(f295(f226(x78803,x78804),x78801),f295(f16(f911(x78804,a897),x78803),x78805)),f295(f295(f226(x78803,x78804),x78802),f295(f16(f911(x78804,a897),x78803),x78805)))+~P1(f295(f295(f297(x78804),x78806),x78805)) % 192.26/192.34 [7946]~P13(x79461,x79462,x79463)+~P1(f295(f62(x79461),x79466))+E(f295(f295(f65(x79461,x79462,x79463),x79464),f295(f295(f275(x79461),x79465),x79466)),f295(f295(x79463,x79465),f295(f295(f65(x79461,x79462,x79463),x79464),x79466))) % 192.26/192.34 [8064]~P15(x80641,x80642,x80643)+~P1(f295(f62(x80641),x80646))+E(f295(f295(f65(x80641,x80642,x80643),f295(f295(x80643,x80644),x80645)),x80646),f295(f295(x80643,x80644),f295(f295(f65(x80641,x80642,x80643),x80645),x80646))) % 192.26/192.34 [8175]~P114(x81752)+P1(f295(f295(f207(x81752),f295(x81753,x81754)),f295(x81753,x81755)))+E(f295(f295(f137(x81751,x81752,x81753),x81754),f295(f295(f140(x81751),x81755),x81756)),f295(f295(f140(x81751),x81755),f295(f295(f137(x81751,x81752,x81753),x81754),x81756))) % 192.26/192.34 [8314]~E(f295(f177(f903(x83141)),x83145),f295(f177(f903(x83142)),x83146))+~E(f295(f177(f903(x83141)),x83143),f295(f177(f903(x83142)),x83144))+E(f295(f295(f122(f910(x83141,x83142)),f295(f295(f168(x83141,x83142),x83143),x83144)),f295(f295(f168(x83141,x83142),x83145),x83146)),f295(f295(f168(x83141,x83142),f295(f295(f122(x83141),x83143),x83145)),f295(f295(f122(x83142),x83144),x83146))) % 192.26/192.34 [8427]~E(x84272,f295(f276(x84273,x84271,x84274),x84276))+P1(f295(f295(f207(f911(x84271,a897)),x84272),f295(f276(x84273,x84271,x84274),x84275)))+~P1(f295(f295(f207(f911(x84273,a897)),x84276),x84275)) % 192.26/192.34 [8527]~P114(x85275)+E(f295(x85271,x85272),f295(x85271,x85273))+E(f295(f295(f137(x85274,x85275,x85271),x85272),f295(f295(f137(x85274,x85275,x85271),x85273),x85276)),f295(f295(f137(x85274,x85275,x85271),x85273),f295(f295(f137(x85274,x85275,x85271),x85272),x85276))) % 192.26/192.34 [8705]~P1(f295(f295(f297(x87052),x87054),f295(x87056,x87053)))+~P1(f295(f295(f297(x87051),x87053),x87055))+P1(f295(f295(f297(f910(x87051,x87052)),f295(f295(f217(x87051,x87052),x87053),x87054)),f295(f295(f226(x87051,x87052),x87055),x87056))) % 192.26/192.34 [9254]~P34(x92542,x92545,x92541,x92543,x92546)+P1(f295(f295(x92541,f295(f295(f153(x92542),x92543),x92544)),f295(f295(f153(x92545),x92546),x92544)))+~P1(f295(f295(f208(a902),x92544),f295(f177(f903(x92545)),x92546))) % 192.26/192.34 [9255]~P34(x92552,x92555,x92551,x92553,x92556)+P1(f295(f295(x92551,f295(f295(f153(x92552),x92553),x92554)),f295(f295(f153(x92555),x92556),x92554)))+~P1(f295(f295(f208(a902),x92554),f295(f177(f903(x92552)),x92553))) % 192.26/192.34 [9264]~E(f295(f276(x92641,x92642,x92643),x92644),x92646)+E(f295(f276(x92641,x92642,x92643),f295(f276(x92642,x92641,f94(x92641,x92642,x92644,x92643)),x92645)),x92645)+~P1(f295(f295(f207(f911(x92642,a897)),x92645),x92646)) % 192.26/192.34 [9419]~P18(x94193,x94191,x94196,x94192)+~P1(f295(f62(x94193),x94194))+E(f295(f295(f74(x94191,x94191,x94191),f295(x94192,f295(f295(f23(f911(x94193,a897)),x94194),f295(f295(f275(x94193),x94195),f176(f911(x94193,a897)))))),f295(x94196,x94195)),f295(x94192,f295(f295(f275(x94193),x94195),x94194))) % 192.26/192.34 [10011]~E(f295(x100114,f867(x100112,x100115,x100114,x100113,x100116,x100111)),x100115)+E(f295(f295(f44(x100111,f911(x100112,a897)),x100113),x100114),x100115)+~P1(f295(f295(f297(x100111),x100116),x100113)) % 192.26/192.34 [10057]~E(f295(f276(x100572,x100574,x100576),f214(f911(x100572,a897))),f214(f911(x100574,a897)))+~E(f295(f276(x100571,x100573,x100575),f214(f911(x100571,a897))),f214(f911(x100573,a897)))+E(f295(f276(f910(x100571,x100572),f910(x100573,x100574),f229(x100571,x100573,x100572,x100574,x100575,x100576)),f214(f911(f910(x100571,x100572),a897))),f214(f911(f910(x100573,x100574),a897))) % 192.26/192.34 [10102]~E(x101023,x101025)+~E(f295(x101026,f868(x101022,x101024,x101026,x101021,x101023,x101025)),f295(x101024,f868(x101022,x101024,x101026,x101021,x101023,x101025)))+E(f295(f295(f43(x101021,f911(x101022,a897)),x101023),x101024),f295(f295(f43(x101021,f911(x101022,a897)),x101025),x101026)) % 192.26/192.34 [10103]~E(x101033,x101035)+~E(f295(x101036,f869(x101032,x101034,x101036,x101031,x101033,x101035)),f295(x101034,f869(x101032,x101034,x101036,x101031,x101033,x101035)))+E(f295(f295(f44(x101031,f911(x101032,a897)),x101033),x101034),f295(f295(f44(x101031,f911(x101032,a897)),x101035),x101036)) % 192.26/192.34 [10108]~P24(x101083,x101084,x101085,f295(x101086,f366(x101086,x101085,x101084,x101083,x101082,x101081)))+P24(x101083,x101084,x101085,f295(f295(f43(x101082,f911(x101083,a897)),x101081),x101086))+E(x101081,f176(f911(x101082,a897))) % 192.26/192.34 [10166]E(f295(f295(f44(x101661,f911(x101662,a897)),x101663),x101664),x101665)+~P1(f295(f295(f297(x101661),x101666),x101663))+P1(f295(f295(f297(x101661),f867(x101662,x101665,x101664,x101663,x101666,x101661)),x101663)) % 192.26/192.34 [10167]~E(x101673,x101675)+E(f295(f295(f43(x101671,f911(x101672,a897)),x101673),x101674),f295(f295(f43(x101671,f911(x101672,a897)),x101675),x101676))+P1(f295(f295(f297(x101671),f868(x101672,x101674,x101676,x101671,x101673,x101675)),x101673)) % 192.26/192.34 [10168]~E(x101683,x101685)+E(f295(f295(f44(x101681,f911(x101682,a897)),x101683),x101684),f295(f295(f44(x101681,f911(x101682,a897)),x101685),x101686))+P1(f295(f295(f297(x101681),f869(x101682,x101684,x101686,x101681,x101683,x101685)),x101683)) % 192.26/192.34 [10171]P24(x101716,x101715,x101714,f295(f295(f43(x101712,f911(x101716,a897)),x101711),x101713))+E(x101711,f176(f911(x101712,a897)))+P1(f295(f295(f297(x101712),f366(x101713,x101714,x101715,x101716,x101712,x101711)),x101711)) % 192.26/192.34 [10180]P1(f295(f295(f297(x101801),f796(x101802,x101803,x101804,x101805,x101806,x101801)),x101806))+P1(f295(f295(f207(f911(f910(x101801,x101804),a897)),f295(f295(f226(x101801,x101804),x101806),x101803)),f295(f295(f226(x101801,x101804),x101805),x101802)))+~P1(f295(f295(f207(f911(x101801,a897)),x101806),x101805)) % 192.26/192.34 [10342]~P1(f295(f295(f207(f911(x103422,a897)),f295(x103424,f796(x103426,x103424,x103422,x103425,x103423,x103421))),f295(x103426,f796(x103426,x103424,x103422,x103425,x103423,x103421))))+~P1(f295(f295(f207(f911(x103421,a897)),x103423),x103425))+P1(f295(f295(f207(f911(f910(x103421,x103422),a897)),f295(f295(f226(x103421,x103422),x103423),x103424)),f295(f295(f226(x103421,x103422),x103425),x103426))) % 192.26/192.34 [7901]~P1(f295(x79011,x79015))+~P1(f295(x79016,x79014))+P1(f295(x79011,f295(f227(x79012,x79013),f295(f295(f217(x79012,x79013),x79014),x79015)))) % 192.26/192.34 [7902]~P1(f295(x79021,x79024))+~P1(f295(x79026,x79025))+P1(f295(x79021,f295(f216(x79022,x79023),f295(f295(f217(x79022,x79023),x79024),x79025)))) % 192.26/192.34 [7952]~P1(f295(f295(x79524,x79526),x79525))+~P1(f295(f295(f297(x79521),x79526),x79523))+P1(f295(f295(f295(f44(x79521,f911(x79522,a897)),x79523),x79524),x79525)) % 192.26/192.34 [8267]~P1(f295(f295(f297(x82671),x82672),f295(x82675,x82676)))+~P1(f295(f295(f297(x82673),x82676),x82674))+P1(f295(f295(f297(x82671),x82672),f295(f295(f44(x82673,f911(x82671,a897)),x82674),x82675))) % 192.26/192.34 [8306]P1(f295(f295(x83061,x83062),x83063))+~P1(f295(f295(x83064,x83062),x83063))+~P1(f295(f295(f207(f911(x83065,f911(x83066,a897))),x83064),x83061)) % 192.26/192.34 [8452]P1(f295(f295(x84521,x84522),x84523))+~P1(f295(f295(f297(x84524),x84522),x84525))+~P1(f295(f295(f295(f43(x84524,f911(x84526,a897)),x84525),x84521),x84523)) % 192.26/192.34 [8583]P1(f295(f295(f297(x85831),x85832),f295(x85833,x85834)))+~P1(f295(f295(f297(x85835),x85834),x85836))+~P1(f295(f295(f297(x85831),x85832),f295(f295(f43(x85835,f911(x85831,a897)),x85836),x85833))) % 192.26/192.34 [8717]~P77(x87172)+~P24(x87174,x87171,x87175,x87176)+E(f295(f295(f6(x87171,x87172),x87173),f295(f276(x87174,x87171,x87175),x87176)),f295(f295(f6(x87174,x87172),f295(f295(f74(x87171,x87172,x87174),x87173),x87175)),x87176)) % 192.26/192.34 [8718]~P83(x87182)+~P24(x87184,x87181,x87185,x87186)+E(f295(f295(f9(x87181,x87182),x87183),f295(f276(x87184,x87181,x87185),x87186)),f295(f295(f9(x87184,x87182),f295(f295(f74(x87181,x87182,x87184),x87183),x87185)),x87186)) % 192.26/192.34 [8791]~P1(f295(f295(f295(f295(a184,x87911),x87913),x87914),x87916))+~P1(f295(f295(f295(f295(a184,x87912),x87916),x87914),x87915))+P1(f295(f295(f295(f295(a184,f33(x87911,x87912)),x87913),x87914),x87915)) % 192.26/192.34 [8863]~P10(x88634,x88635,x88636,x88631)+E(f295(x88631,x88632),f295(x88631,x88633))+~P1(f295(f295(f297(f910(x88634,x88634)),f295(f295(f217(x88634,x88634),x88632),x88633)),x88636)) % 192.26/192.34 [8901]P1(f295(f295(f207(f911(x89011,a897)),x89012),f295(x89013,x89014)))+~P1(f295(f295(f297(x89015),x89014),x89016))+~P1(f295(f295(f207(f911(x89011,a897)),x89012),f295(f295(f43(x89015,f911(x89011,a897)),x89016),x89013))) % 192.26/192.34 [8934]~P60(x89343,x89344,f295(f253(x89344,x89343),x89345))+E(x89341,f176(f911(x89342,a897)))+E(f295(f295(f43(x89342,f911(x89343,a897)),x89341),f295(f295(f8(f911(x89344,a897),f911(x89343,a897),x89342),f252(x89344,x89343,x89345)),x89346)),f295(f252(x89344,x89343,x89345),f295(f295(f43(x89342,f911(x89344,a897)),x89341),x89346))) % 192.26/192.34 [9015]P1(f295(f295(f297(x90151),x90152),f295(f252(x90153,x90151,x90154),x90155)))+~P1(f295(f295(f297(x90153),x90156),x90155))+~P1(f295(f295(f297(f910(x90153,x90151)),f295(f295(f217(x90153,x90151),x90156),x90152)),x90154)) % 192.26/192.34 [9139]P1(f295(x91391,x91392))+~P1(f295(f295(f295(f295(a184,x91394),x91392),x91395),x91396))+P1(f295(f295(f295(f295(a184,f30(x91391,x91393,x91394)),x91392),x91395),x91396)) % 192.26/192.34 [9157]~P1(f295(x91571,x91574))+~P1(f295(f295(f295(f295(a184,x91572),x91574),x91575),x91576))+P1(f295(f295(f295(f295(a184,f30(x91571,x91572,x91573)),x91574),x91575),x91576)) % 192.26/192.34 [9329]P1(f295(f295(f207(f911(x93291,a897)),f295(f252(x93292,x93291,x93293),x93294)),f295(f252(x93292,x93291,x93295),x93296)))+~P1(f295(f295(f207(f911(x93292,a897)),x93294),x93296))+~P1(f295(f295(f207(f911(f910(x93292,x93291),a897)),x93293),x93295)) % 192.26/192.34 [9410]P1(f295(x94101,x94102))+P1(f295(f295(f295(f295(a184,x94103),x94102),x94104),x94105))+~P1(f295(f295(f295(f295(a184,f30(x94101,x94106,x94103)),x94102),x94104),x94105)) % 192.26/192.34 [9416]~P1(f295(x94165,x94162))+P1(f295(f295(f295(f295(a184,x94161),x94162),x94163),x94164))+~P1(f295(f295(f295(f295(a184,f30(x94165,x94161,x94166)),x94162),x94163),x94164)) % 192.26/192.34 [9466]P1(f295(f295(f295(f295(a184,x94661),x94662),x94663),x94664))+P1(f295(f295(f295(f295(a184,x94665),x94662),x94663),x94664))+~P1(f295(f295(f295(f295(a184,f30(x94666,x94661,x94665)),x94662),x94663),x94664)) % 192.26/192.34 [9510]~P1(f295(f295(f297(x95102),x95106),x95104))+~P1(f295(f295(f207(f911(x95101,a897)),x95103),x95105))+P1(f295(f295(f207(f911(f910(x95101,x95102),a897)),f295(f295(f226(x95101,x95102),x95103),f295(f16(f911(x95102,a897),x95101),x95104))),f295(f295(f226(x95101,x95102),x95105),f295(f16(f911(x95102,a897),x95101),x95104)))) % 192.26/192.34 [9522]~P34(x95221,x95222,x95223,x95225,x95226)+P1(f295(f295(f228(x95221,x95222,a897),x95223),x95224))+~P1(f295(f295(f297(f910(x95221,x95222)),x95224),f295(f160(f910(x95221,x95222)),f295(f295(f168(x95221,x95222),x95225),x95226)))) % 192.26/192.34 [9651]~E(x96513,x96515)+P1(f295(f295(f297(f910(f903(x96511),f903(x96511))),f295(f295(f217(f903(x96511),f903(x96511)),f295(f295(f140(x96511),x96512),x96513)),f295(f295(f140(x96511),x96514),x96515))),f146(x96511,x96516)))+~P1(f295(f295(f297(f910(x96511,x96511)),f295(f295(f217(x96511,x96511),x96512),x96514)),x96516)) % 192.26/192.34 [9656]~E(f295(f177(f903(x96561)),x96563),f295(f177(f903(x96561)),x96565))+P1(f295(f295(f297(f910(f903(x96561),f903(x96561))),f295(f295(f217(f903(x96561),f903(x96561)),f295(f295(f140(x96561),x96562),x96563)),f295(f295(f140(x96561),x96564),x96565))),f134(x96561,x96566)))+~P1(f295(f295(f297(f910(x96561,x96561)),f295(f295(f217(x96561,x96561),x96562),x96564)),x96566)) % 192.26/192.34 [9687]P1(f295(f295(f297(f910(x96871,x96871)),f295(f295(f217(x96871,x96871),x96872),x96873)),f295(f295(f170(f910(x96871,x96871),a897),f295(a119,x96874)),x96875)))+~P1(f295(f295(f297(f910(x96871,x96871)),f295(f295(f217(x96871,x96871),x96876),x96873)),x96875))+~P1(f295(f295(f297(f910(x96871,x96871)),f295(f295(f217(x96871,x96871),x96872),x96876)),f295(f295(f170(f910(x96871,x96871),a897),x96874),x96875))) % 192.26/192.34 [9688]P1(f295(f295(f297(f910(x96881,x96881)),f295(f295(f217(x96881,x96881),x96882),x96883)),f295(f295(f170(f910(x96881,x96881),a897),f295(a119,x96884)),x96885)))+~P1(f295(f295(f297(f910(x96881,x96881)),f295(f295(f217(x96881,x96881),x96882),x96886)),x96885))+~P1(f295(f295(f297(f910(x96881,x96881)),f295(f295(f217(x96881,x96881),x96886),x96883)),f295(f295(f170(f910(x96881,x96881),a897),x96884),x96885))) % 192.26/192.34 [9692]~P1(f295(f295(f297(x96924),x96925),x96926))+P1(f295(f295(f207(f911(x96921,a897)),x96922),x96923))+~P1(f295(f295(f207(f911(f910(x96921,x96924),a897)),f295(f295(f226(x96921,x96924),x96922),f295(f16(f911(x96924,a897),x96921),x96926))),f295(f295(f226(x96921,x96924),x96923),f295(f16(f911(x96924,a897),x96921),x96926)))) % 192.26/192.34 [9735]E(x97351,x97352)+~P1(f295(f295(f297(f910(f903(x97353),f903(x97353))),f295(f295(f217(f903(x97353),f903(x97353)),f295(f295(f140(x97353),x97351),x97355)),f295(f295(f140(x97353),x97352),x97356))),f134(x97353,x97354)))+P1(f295(f295(f297(f910(x97353,x97353)),f295(f295(f217(x97353,x97353),x97351),x97352)),x97354)) % 192.26/192.34 [9736]E(x97361,x97362)+~P1(f295(f295(f297(f910(f903(x97363),f903(x97363))),f295(f295(f217(f903(x97363),f903(x97363)),f295(f295(f140(x97363),x97361),x97365)),f295(f295(f140(x97363),x97362),x97366))),f136(x97363,x97364)))+P1(f295(f295(f297(f910(x97363,x97363)),f295(f295(f217(x97363,x97363),x97361),x97362)),x97364)) % 192.26/192.34 [9737]E(x97371,x97372)+~P1(f295(f295(f297(f910(f903(x97373),f903(x97373))),f295(f295(f217(f903(x97373),f903(x97373)),f295(f295(f140(x97373),x97371),x97375)),f295(f295(f140(x97373),x97372),x97376))),f146(x97373,x97374)))+P1(f295(f295(f297(f910(x97373,x97373)),f295(f295(f217(x97373,x97373),x97371),x97372)),x97374)) % 192.26/192.34 [9772]P1(f295(f295(f297(f910(f903(x97721),f903(x97721))),f295(f295(f217(f903(x97721),f903(x97721)),f295(f295(f140(x97721),x97722),x97723)),f295(f295(f140(x97721),x97724),x97725))),f147(x97721,x97726)))+~P1(f295(f295(f297(f910(f903(x97721),f903(x97721))),f295(f295(f217(f903(x97721),f903(x97721)),x97723),x97725)),f147(x97721,x97726)))+~P1(f295(f295(f297(f910(x97721,x97721)),f295(f295(f217(x97721,x97721),x97722),x97724)),x97726)) % 192.26/192.34 [9788]P1(f295(x97881,x97882))+~P1(f295(x97881,f854(x97881,x97883,x97884,x97885,x97886)))+~P1(f295(f295(f297(x97886),x97882),f295(f295(f44(x97885,f911(x97886,a897)),x97884),x97883))) % 192.26/192.34 [9793]~P1(f295(f295(f297(f910(f903(x97931),f903(x97931))),f295(f295(f217(f903(x97931),f903(x97931)),f295(f295(f140(x97931),x97932),x97935)),f295(f295(f140(x97931),x97933),x97936))),f134(x97931,x97934)))+P1(f295(f295(f297(f910(f903(x97931),f903(x97931))),f295(f295(f217(f903(x97931),f903(x97931)),x97935),x97936)),f134(x97931,x97934)))+P1(f295(f295(f297(f910(x97931,x97931)),f295(f295(f217(x97931,x97931),x97932),x97933)),x97934)) % 192.26/192.34 [9794]~P1(f295(f295(f297(f910(f903(x97941),f903(x97941))),f295(f295(f217(f903(x97941),f903(x97941)),f295(f295(f140(x97941),x97942),x97945)),f295(f295(f140(x97941),x97943),x97946))),f136(x97941,x97944)))+P1(f295(f295(f297(f910(f903(x97941),f903(x97941))),f295(f295(f217(f903(x97941),f903(x97941)),x97945),x97946)),f136(x97941,x97944)))+P1(f295(f295(f297(f910(x97941,x97941)),f295(f295(f217(x97941,x97941),x97942),x97943)),x97944)) % 192.26/192.34 [9795]~P1(f295(f295(f297(f910(f903(x97951),f903(x97951))),f295(f295(f217(f903(x97951),f903(x97951)),f295(f295(f140(x97951),x97952),x97955)),f295(f295(f140(x97951),x97953),x97956))),f146(x97951,x97954)))+P1(f295(f295(f297(f910(f903(x97951),f903(x97951))),f295(f295(f217(f903(x97951),f903(x97951)),x97955),x97956)),f146(x97951,x97954)))+P1(f295(f295(f297(f910(x97951,x97951)),f295(f295(f217(x97951,x97951),x97952),x97953)),x97954)) % 192.26/192.34 [9890]P1(f295(x98901,x98902))+P1(f295(f295(f297(x98903),f855(x98901,x98904,x98905,x98903,x98906)),x98905))+~P1(f295(f295(f297(x98906),x98902),f295(f295(f44(x98903,f911(x98906,a897)),x98905),x98904))) % 192.26/192.34 [9900]~E(x99002,x99004)+P1(f295(f295(f297(f910(f903(x99001),f903(x99001))),f295(f295(f217(f903(x99001),f903(x99001)),f295(f295(f122(x99001),x99002),f295(f295(f140(x99001),x99003),f120(x99001)))),f295(f295(f122(x99001),x99004),f295(f295(f140(x99001),x99005),f120(x99001))))),f146(x99001,x99006)))+~P1(f295(f295(f297(f910(x99001,x99001)),f295(f295(f217(x99001,x99001),x99003),x99005)),x99006)) % 192.26/192.34 [9976]E(x99761,x99762)+~P1(f295(f295(f297(f910(f903(x99763),f903(x99763))),f295(f295(f217(f903(x99763),f903(x99763)),f295(f295(f122(x99763),x99765),f295(f295(f140(x99763),x99761),f120(x99763)))),f295(f295(f122(x99763),x99766),f295(f295(f140(x99763),x99762),f120(x99763))))),f146(x99763,x99764)))+P1(f295(f295(f297(f910(x99763,x99763)),f295(f295(f217(x99763,x99763),x99761),x99762)),x99764)) % 192.26/192.34 [10005]~P1(f295(f295(f297(f910(f903(x100051),f903(x100051))),f295(f295(f217(f903(x100051),f903(x100051)),f295(f295(f122(x100051),x100055),f295(f295(f140(x100051),x100052),f120(x100051)))),f295(f295(f122(x100051),x100056),f295(f295(f140(x100051),x100053),f120(x100051))))),f146(x100051,x100054)))+P1(f295(f295(f297(f910(f903(x100051),f903(x100051))),f295(f295(f217(f903(x100051),f903(x100051)),x100055),x100056)),f146(x100051,x100054)))+P1(f295(f295(f297(f910(x100051,x100051)),f295(f295(f217(x100051,x100051),x100052),x100053)),x100054)) % 192.26/192.34 [10025]P1(f295(x100251,x100252))+P1(f295(f295(f297(x100253),f854(x100251,x100254,x100255,x100256,x100253)),f295(x100254,f855(x100251,x100254,x100255,x100256,x100253))))+~P1(f295(f295(f297(x100253),x100252),f295(f295(f44(x100256,f911(x100253,a897)),x100255),x100254))) % 192.26/192.34 [10182]P1(f295(f295(f297(x101821),f886(x101822,x101823,x101824,x101825,x101826,x101821)),x101825))+~P1(f295(f295(f207(f911(x101821,a897)),x101826),x101825))+P1(f295(f295(f207(f911(x101824,a897)),f295(f295(f43(x101821,f911(x101824,a897)),x101825),x101823)),f295(f295(f43(x101821,f911(x101824,a897)),x101825),x101822))) % 192.26/192.34 [10183]P1(f295(f295(f297(x101831),f888(x101832,x101833,x101834,x101835,x101836,x101831)),x101836))+~P1(f295(f295(f207(f911(x101831,a897)),x101836),x101835))+P1(f295(f295(f207(f911(x101834,a897)),f295(f295(f44(x101831,f911(x101834,a897)),x101836),x101833)),f295(f295(f44(x101831,f911(x101834,a897)),x101835),x101832))) % 192.26/192.34 [10343]~P1(f295(f295(f207(f911(x103431,a897)),f295(x103434,f886(x103435,x103434,x103431,x103433,x103436,x103432))),f295(x103435,f886(x103435,x103434,x103431,x103433,x103436,x103432))))+~P1(f295(f295(f207(f911(x103432,a897)),x103436),x103433))+P1(f295(f295(f207(f911(x103431,a897)),f295(f295(f43(x103432,f911(x103431,a897)),x103433),x103434)),f295(f295(f43(x103432,f911(x103431,a897)),x103433),x103435))) % 192.26/192.34 [10344]~P1(f295(f295(f207(f911(x103441,a897)),f295(x103444,f888(x103446,x103444,x103441,x103445,x103443,x103442))),f295(x103446,f888(x103446,x103444,x103441,x103445,x103443,x103442))))+~P1(f295(f295(f207(f911(x103442,a897)),x103443),x103445))+P1(f295(f295(f207(f911(x103441,a897)),f295(f295(f44(x103442,f911(x103441,a897)),x103443),x103444)),f295(f295(f44(x103442,f911(x103441,a897)),x103445),x103446))) % 192.26/192.34 [9038]~P15(x90383,x90384,x90381)+~P1(f295(f62(x90383),x90386))+E(f295(f295(x90381,x90382),f295(f295(f65(x90383,x90384,x90381),x90385),f295(f295(f23(f911(x90383,a897)),x90386),f295(f295(f275(x90383),x90382),f176(f911(x90383,a897)))))),f295(f295(f65(x90383,x90384,x90381),x90385),f295(f295(f275(x90383),x90382),x90386))) % 192.26/192.34 [9338]~P1(f295(f295(f297(x93385),x93383),x93386))+P1(f295(f295(f207(f911(x93381,a897)),f295(x93382,x93383)),x93384))+~P1(f295(f295(f207(f911(x93381,a897)),f295(f295(f44(x93385,f911(x93381,a897)),x93386),x93382)),x93384)) % 192.26/192.34 [9949]~P9(x99491,x99495,x99494)+P1(f295(f295(f297(f910(x99491,x99491)),f295(f295(f217(x99491,x99491),x99492),x99493)),x99494))+~P1(f295(f295(f297(x99491),x99496),f295(f295(f108(f911(x99491,a897)),f295(f252(x99491,x99491,x99494),f295(f295(f275(x99491),x99492),f176(f911(x99491,a897))))),f295(f252(x99491,x99491,x99494),f295(f295(f275(x99491),x99493),f176(f911(x99491,a897))))))) % 192.26/192.34 [8743]~P130(x87432)+~E(f295(f295(f83(x87432),f295(f295(f84(x87432),x87434),x87435)),x87431),f295(f295(f83(x87432),f295(f295(f84(x87432),x87433),x87435)),x87436))+E(x87431,f295(f295(f83(x87432),f295(f295(f84(x87432),f295(f295(f23(x87432),x87433),x87434)),x87435)),x87436)) % 192.26/192.34 [8744]~P130(x87441)+~E(f295(f295(f83(x87441),f295(f295(f84(x87441),x87442),x87444)),x87445),f295(f295(f83(x87441),f295(f295(f84(x87441),x87443),x87444)),x87446))+E(f295(f295(f83(x87441),f295(f295(f84(x87441),f295(f295(f23(x87441),x87442),x87443)),x87444)),x87445),x87446) % 192.26/192.34 [8937]~P130(x89371)+E(f295(f295(f83(x89371),f295(f295(f84(x89371),x89372),x89373)),x89374),f295(f295(f83(x89371),f295(f295(f84(x89371),x89375),x89373)),x89376))+~E(x89376,f295(f295(f83(x89371),f295(f295(f84(x89371),f295(f295(f23(x89371),x89372),x89375)),x89373)),x89374)) % 192.26/192.34 [8938]~P130(x89381)+E(f295(f295(f83(x89381),f295(f295(f84(x89381),x89382),x89383)),x89384),f295(f295(f83(x89381),f295(f295(f84(x89381),x89385),x89383)),x89386))+~E(f295(f295(f83(x89381),f295(f295(f84(x89381),f295(f295(f23(x89381),x89382),x89385)),x89383)),x89384),x89386) % 192.26/192.34 [9276]~P1(f295(f295(x92764,x92765),x92766))+~P1(f295(f295(x92763,x92765),x92766))+P1(f295(f295(f295(f295(f108(f911(x92761,f911(x92762,a897))),x92763),x92764),x92765),x92766)) % 192.26/192.34 [9530]P1(f295(f295(x95301,x95302),x95303))+P1(f295(f295(x95304,x95302),x95303))+~P1(f295(f295(f295(f295(f117(f911(x95305,f911(x95306,a897))),x95304),x95301),x95302),x95303)) % 192.26/192.34 [9808]~P141(x98081)+~P1(f295(f295(f207(x98081),f295(f295(f83(x98081),f295(f295(f84(x98081),x98084),x98085)),x98082)),f295(f295(f83(x98081),f295(f295(f84(x98081),x98083),x98085)),x98086)))+P1(f295(f295(f207(x98081),x98082),f295(f295(f83(x98081),f295(f295(f84(x98081),f295(f295(f23(x98081),x98083),x98084)),x98085)),x98086))) % 192.26/192.34 [9809]~P141(x98091)+~P1(f295(f295(f208(x98091),f295(f295(f83(x98091),f295(f295(f84(x98091),x98094),x98095)),x98092)),f295(f295(f83(x98091),f295(f295(f84(x98091),x98093),x98095)),x98096)))+P1(f295(f295(f208(x98091),x98092),f295(f295(f83(x98091),f295(f295(f84(x98091),f295(f295(f23(x98091),x98093),x98094)),x98095)),x98096))) % 192.26/192.34 [9837]~P141(x98371)+P1(f295(f295(f207(x98371),f295(f295(f83(x98371),f295(f295(f84(x98371),x98372),x98373)),x98374)),f295(f295(f83(x98371),f295(f295(f84(x98371),x98375),x98373)),x98376)))+~P1(f295(f295(f207(x98371),x98374),f295(f295(f83(x98371),f295(f295(f84(x98371),f295(f295(f23(x98371),x98375),x98372)),x98373)),x98376))) % 192.26/192.34 [9838]~P141(x98381)+P1(f295(f295(f208(x98381),f295(f295(f83(x98381),f295(f295(f84(x98381),x98382),x98383)),x98384)),f295(f295(f83(x98381),f295(f295(f84(x98381),x98385),x98383)),x98386)))+~P1(f295(f295(f208(x98381),x98384),f295(f295(f83(x98381),f295(f295(f84(x98381),f295(f295(f23(x98381),x98385),x98382)),x98383)),x98386))) % 192.26/192.34 [9940]~P141(x99401)+~P1(f295(f295(f207(x99401),f295(f295(f83(x99401),f295(f295(f84(x99401),x99402),x99404)),x99405)),f295(f295(f83(x99401),f295(f295(f84(x99401),x99403),x99404)),x99406)))+P1(f295(f295(f207(x99401),f295(f295(f83(x99401),f295(f295(f84(x99401),f295(f295(f23(x99401),x99402),x99403)),x99404)),x99405)),x99406)) % 192.26/192.34 [9941]~P141(x99411)+~P1(f295(f295(f208(x99411),f295(f295(f83(x99411),f295(f295(f84(x99411),x99412),x99414)),x99415)),f295(f295(f83(x99411),f295(f295(f84(x99411),x99413),x99414)),x99416)))+P1(f295(f295(f208(x99411),f295(f295(f83(x99411),f295(f295(f84(x99411),f295(f295(f23(x99411),x99412),x99413)),x99414)),x99415)),x99416)) % 192.26/192.34 [9989]~P141(x99891)+P1(f295(f295(f207(x99891),f295(f295(f83(x99891),f295(f295(f84(x99891),x99892),x99893)),x99894)),f295(f295(f83(x99891),f295(f295(f84(x99891),x99895),x99893)),x99896)))+~P1(f295(f295(f207(x99891),f295(f295(f83(x99891),f295(f295(f84(x99891),f295(f295(f23(x99891),x99892),x99895)),x99893)),x99894)),x99896)) % 192.26/192.34 [9990]~P141(x99901)+P1(f295(f295(f208(x99901),f295(f295(f83(x99901),f295(f295(f84(x99901),x99902),x99903)),x99904)),f295(f295(f83(x99901),f295(f295(f84(x99901),x99905),x99903)),x99906)))+~P1(f295(f295(f208(x99901),f295(f295(f83(x99901),f295(f295(f84(x99901),f295(f295(f23(x99901),x99902),x99905)),x99903)),x99904)),x99906)) % 192.26/192.34 [10161]~P77(x101612)+~P1(f295(f62(x101611),x101616))+E(f295(f295(f6(x101611,x101612),f295(f295(f18(x101611,x101612,x101612),f295(f295(f18(x101611,x101612,f911(x101612,x101612)),f295(f295(f8(a897,f911(x101612,f911(x101612,x101612)),x101611),f103(x101612)),x101613)),x101614)),x101615)),x101616),f295(f295(f83(x101612),f295(f295(f6(x101611,x101612),x101614),f295(f295(f108(f911(x101611,a897)),x101616),f295(f212(x101611),x101613)))),f295(f295(f6(x101611,x101612),x101615),f295(f295(f108(f911(x101611,a897)),x101616),f295(f82(f911(x101611,a897)),f295(f212(x101611),x101613)))))) % 192.26/192.34 [10261]P1(f295(f295(f297(x102612),x102614),x102616))+P1(f295(f295(f297(x102612),x102615),x102616))+E(f295(f278(x102611,x102612,f295(f295(f7(x102611,x102612,x102612),f295(f295(f7(x102611,x102612,f911(x102612,x102612)),f295(f295(f8(a897,f911(x102612,f911(x102612,x102612)),x102611),f103(x102612)),f295(f295(f7(x102611,f911(x102611,a897),a897),f297(x102611)),x102613))),x102614)),x102615)),x102616),f176(f911(x102611,a897))) % 192.26/192.34 [10262]P1(f295(f295(f297(x102622),x102625),x102626))+~P1(f295(f295(f297(x102622),x102624),x102626))+E(f295(f278(x102621,x102622,f295(f295(f7(x102621,x102622,x102622),f295(f295(f7(x102621,x102622,f911(x102622,x102622)),f295(f295(f8(a897,f911(x102622,f911(x102622,x102622)),x102621),f103(x102622)),f295(f295(f7(x102621,f911(x102621,a897),a897),f297(x102621)),x102623))),x102624)),x102625)),x102626),x102623) % 192.26/192.34 [10263]P1(f295(f295(f297(x102632),x102634),x102636))+~P1(f295(f295(f297(x102632),x102635),x102636))+E(f295(f278(x102631,x102632,f295(f295(f7(x102631,x102632,x102632),f295(f295(f7(x102631,x102632,f911(x102632,x102632)),f295(f295(f8(a897,f911(x102632,f911(x102632,x102632)),x102631),f103(x102632)),f295(f295(f7(x102631,f911(x102631,a897),a897),f297(x102631)),x102633))),x102634)),x102635)),x102636),f295(f82(f911(x102631,a897)),x102633)) % 192.26/192.34 [10264]~P1(f295(f295(f297(x102642),x102644),x102646))+~P1(f295(f295(f297(x102642),x102645),x102646))+E(f295(f278(x102641,x102642,f295(f295(f7(x102641,x102642,x102642),f295(f295(f7(x102641,x102642,f911(x102642,x102642)),f295(f295(f8(a897,f911(x102642,f911(x102642,x102642)),x102641),f103(x102642)),f295(f295(f7(x102641,f911(x102641,a897),a897),f297(x102641)),x102643))),x102644)),x102645)),x102646),f214(f911(x102641,a897))) % 192.26/192.34 [8787]E(x87871,x87872)+~P56(x87874,x87875,x87876,x87877,x87873)+~E(f295(x87873,x87871),f295(x87873,x87872)) % 192.26/192.34 [8788]E(x87881,x87882)+~P62(x87884,x87885,x87883,x87886,x87887)+~E(f295(x87883,x87881),f295(x87883,x87882)) % 192.26/192.34 [8817]~P5(x88176,x88175,x88177,x88174,x88171)+E(f295(f295(x88171,x88172),x88173),x88174)+P1(f295(f62(x88175),x88173)) % 192.26/192.34 [8861]~P43(x88614,x88615,x88616,x88611,x88617)+E(f295(x88611,x88612),f295(x88611,x88613))+~P1(f295(f295(x88616,x88612),x88613)) % 192.26/192.34 [8887]~P43(x88873,x88874,x88871,x88875,x88876)+P1(f295(f295(x88871,x88872),x88872))+~P1(f295(f295(x88871,x88877),x88872)) % 192.26/192.34 [8889]~P43(x88893,x88894,x88891,x88895,x88896)+P1(f295(f295(x88891,x88892),x88892))+~P1(f295(f295(x88891,x88892),x88897)) % 192.26/192.34 [8914]~E(x89143,x89144)+~P43(x89145,x89146,x89141,x89147,x89142)+P1(f295(f295(x89141,f295(x89142,x89143)),f295(x89142,x89144))) % 192.26/192.34 [8965]E(x89651,x89652)+~P43(x89653,x89654,x89655,x89656,x89657)+~P1(f295(f295(x89655,f295(x89657,x89651)),f295(x89657,x89652))) % 192.26/192.34 [9674]P44(x96741,x96742,x96743,x96744,x96745,f295(f295(x96743,x96746),x96747))+~E(f295(f295(x96743,x96746),x96747),x96744)+~E(x96745,f176(f911(x96741,a897))) % 192.26/192.34 [9863]~P1(f295(x98636,x98633))+~P1(f295(f295(f297(f910(x98632,x98632)),f295(f295(f217(x98632,x98632),x98634),x98635)),f295(x98637,x98633)))+P1(f295(f295(f297(f910(f910(x98631,x98632),f910(x98631,x98632))),f295(f295(f217(f910(x98631,x98632),f910(x98631,x98632)),f295(f295(f217(x98631,x98632),x98633),x98634)),f295(f295(f217(x98631,x98632),x98633),x98635))),f247(x98631,x98632,x98636,x98637))) % 192.26/192.34 [10178]~P43(x101783,x101787,x101786,x101785,x101784)+P1(f295(x101781,x101782))+P1(f295(f295(f297(x101783),f539(x101781,x101784,x101785,x101786,x101787,x101783)),f236(x101783,x101786))) % 192.26/192.34 [10179]~P43(x101791,x101796,x101795,x101794,x101793)+~P1(f295(x101792,x101797))+P1(f295(f295(f297(x101791),f310(x101792,x101793,x101794,x101795,x101796,x101791)),f236(x101791,x101795))) % 192.26/192.34 [10213]~P43(x102131,x102132,x102136,x102133,x102135)+~P1(f295(x102134,x102137))+P1(f295(f295(f79(x102131,x102132,a897,a897,x102133,f36(a897)),x102134),f310(x102134,x102135,x102133,x102136,x102132,x102131))) % 192.26/192.34 [10294]~P43(x102943,x102944,x102945,x102946,x102947)+P1(f295(x102941,x102942))+~P1(f295(f295(f79(x102943,x102944,a897,a897,x102946,f36(a897)),x102941),f539(x102941,x102947,x102946,x102945,x102944,x102943))) % 192.26/192.34 [10332]~P44(x103322,x103327,x103323,x103326,x103321,f295(f295(x103323,x103325),x103324))+E(f295(f295(x103323,f358(x103324,x103325,x103321,x103326,x103323,x103327,x103322)),f359(x103324,x103325,x103321,x103326,x103323,x103327,x103322)),f295(f295(x103323,x103325),x103324))+E(x103321,f176(f911(x103322,a897))) % 192.26/192.34 [10333]~P44(x103337,x103336,x103331,x103334,x103335,f295(f295(x103331,x103332),x103333))+E(f295(f295(x103331,f358(x103333,x103332,x103335,x103334,x103331,x103336,x103337)),f359(x103333,x103332,x103335,x103334,x103331,x103336,x103337)),f295(f295(x103331,x103332),x103333))+E(f295(f295(x103331,x103332),x103333),x103334) % 192.26/192.34 [8959]~P43(x89596,x89597,x89591,x89594,x89593)+~P1(f295(f295(x89591,x89592),x89595))+P1(f295(f295(x89591,x89592),f295(x89593,f295(x89594,x89595)))) % 192.26/192.34 [9371]~P34(x93711,x93712,x93713,x93715,x93717)+P34(x93711,x93712,x93713,f295(f295(f140(x93711),x93714),x93715),f295(f295(f140(x93712),x93716),x93717))+~P1(f295(f295(x93713,x93714),x93716)) % 192.26/192.34 [9386]P34(x93861,x93862,x93863,x93864,x93865)+~P34(x93861,x93862,x93863,f295(f295(f122(x93861),x93866),x93864),f295(f295(f122(x93862),x93867),x93865))+~E(f295(f177(f903(x93861)),x93866),f295(f177(f903(x93862)),x93867)) % 192.26/192.34 [9387]P34(x93871,x93872,x93873,x93874,x93875)+~P34(x93871,x93872,x93873,f295(f295(f122(x93871),x93874),x93876),f295(f295(f122(x93872),x93875),x93877))+~E(f295(f177(f903(x93871)),x93874),f295(f177(f903(x93872)),x93875)) % 192.26/192.34 [9590]~P34(x95901,x95902,x95903,x95905,x95907)+~P34(x95901,x95902,x95903,x95904,x95906)+P34(x95901,x95902,x95903,f295(f295(f122(x95901),x95904),x95905),f295(f295(f122(x95902),x95906),x95907)) % 192.26/192.34 [9933]~P1(f295(f67(x99331,x99334,x99335,x99336,x99333),x99337))+P1(f295(f67(x99331,x99334,x99335,x99336,f295(f295(f275(x99331),x99332),x99333)),f295(f295(x99335,x99332),x99337)))+P1(f295(f295(f297(x99331),x99332),x99333)) % 192.26/192.34 [10165]~P8(x101656,x101655)+~P1(f295(x101651,f295(x101657,x101652)))+P1(f295(x101651,f295(f777(x101652,x101651,x101653,x101654,x101655,x101656),x101652))) % 192.26/192.34 [10272]~P8(x102722,x102726)+~P1(f295(x102724,f295(x102727,x102723)))+P1(f295(f295(f297(f911(x102721,x102722)),f777(x102723,x102724,x102725,x102721,x102726,x102722)),f236(f911(x102721,x102722),f235(x102721,x102721,x102722,x102722,x102725,x102726)))) % 192.26/192.34 [10366]~P44(x103662,x103667,x103666,x103665,x103661,f295(f295(x103666,x103664),x103663))+E(x103661,f176(f911(x103662,a897)))+P1(f295(f295(f297(x103662),f358(x103663,x103664,x103661,x103665,x103666,x103667,x103662)),x103661)) % 192.26/192.34 [10367]~P44(x103675,x103677,x103671,x103674,x103676,f295(f295(x103671,x103672),x103673))+E(f295(f295(x103671,x103672),x103673),x103674)+P1(f295(f295(f297(x103675),f358(x103673,x103672,x103676,x103674,x103671,x103677,x103675)),x103676)) % 192.26/192.34 [9024]~P43(x90246,x90247,x90241,x90243,x90242)+~P1(f295(f295(x90241,x90244),x90245))+P1(f295(f295(x90241,f295(x90242,f295(x90243,x90244))),x90245)) % 192.26/192.34 [9064]~P20(x90644,x90645,x90646,x90647,x90641)+~P1(f295(f62(x90645),x90643))+E(f295(f295(x90641,x90642),x90643),f295(f295(f295(f66(x90644,x90645,x90646),x90642),x90647),x90643)) % 192.26/192.34 [9065]~P5(x90654,x90655,x90656,x90657,x90651)+~P1(f295(f62(x90655),x90653))+E(f295(f295(x90651,x90652),x90653),f295(f295(f295(f66(x90654,x90655,x90656),x90652),x90657),x90653)) % 192.26/192.34 [9823]~P23(x98231,x98232,f295(f295(f275(f901(x98231)),f98(x98231,x98233,x98234,x98237)),f176(f911(f901(x98231),a897))))+P23(x98231,x98232,f295(f295(f275(f901(x98231)),f98(x98231,x98233,f33(x98234,x98235),x98236)),f176(f911(f901(x98231),a897))))+~P23(x98231,x98232,f295(f295(f275(f901(x98231)),f98(x98231,x98237,x98235,x98236)),f176(f911(f901(x98231),a897)))) % 192.26/192.34 [9832]~P22(x98323,x98324,x98325,x98327,x98326,x98321)+~P1(f295(f62(x98324),x98322))+E(f295(x98321,x98322),f295(f295(f295(f66(x98323,x98324,x98325),x98326),x98327),x98322)) % 192.26/192.34 [9984]P44(x99841,x99842,x99843,x99844,x99845,f295(f295(x99843,x99846),x99847))+~P44(x99841,x99842,x99843,x99844,f295(f295(f23(f911(x99841,a897)),x99845),f295(f295(f275(x99841),x99846),f176(f911(x99841,a897)))),x99847)+~P1(f295(f295(f297(x99841),x99846),x99845)) % 192.26/192.34 [10055]~P23(x100551,x100552,f295(f295(f275(f901(x100551)),f98(x100551,f99(x100551,x100553,x100554),x100555,x100557)),f176(f911(f901(x100551),a897))))+P23(x100551,x100552,f295(f295(f275(f901(x100551)),f98(x100551,x100553,f30(x100554,x100555,x100556),x100557)),f176(f911(f901(x100551),a897))))+~P23(x100551,x100552,f295(f295(f275(f901(x100551)),f98(x100551,f99(x100551,x100553,f295(f295(f74(a897,a897,a899),a291),x100554)),x100556,x100557)),f176(f911(f901(x100551),a897)))) % 192.26/192.34 [10400]~P44(x104002,x104003,x104004,x104005,x104001,f295(f295(x104004,x104007),x104006))+P44(x104002,x104003,x104004,x104005,f295(f295(f23(f911(x104002,a897)),x104001),f295(f295(f275(x104002),f358(x104006,x104007,x104001,x104005,x104004,x104003,x104002)),f176(f911(x104002,a897)))),f359(x104006,x104007,x104001,x104005,x104004,x104003,x104002))+E(x104001,f176(f911(x104002,a897))) % 192.26/192.34 [10401]~P44(x104015,x104016,x104011,x104014,x104017,f295(f295(x104011,x104012),x104013))+P44(x104015,x104016,x104011,x104014,f295(f295(f23(f911(x104015,a897)),x104017),f295(f295(f275(x104015),f358(x104013,x104012,x104017,x104014,x104011,x104016,x104015)),f176(f911(x104015,a897)))),f359(x104013,x104012,x104017,x104014,x104011,x104016,x104015))+E(f295(f295(x104011,x104012),x104013),x104014) % 192.26/192.34 [8534]~P42(x85342,x85347,x85341,x85346)+~E(f295(x85344,f295(x85346,x85345)),f295(x85346,x85345))+E(f295(f295(x85341,f295(f295(f74(x85342,x85342,x85342),x85343),x85344)),x85345),f295(f295(x85341,x85343),x85345)) % 192.26/192.34 [9663]P1(f295(f295(f207(f911(f910(x96631,x96632),a897)),f295(f295(f255(x96631,x96633,x96632),x96634),x96635)),f295(f295(f255(x96631,x96633,x96632),x96636),x96637)))+~P1(f295(f295(f207(f911(f910(x96633,x96632),a897)),x96635),x96637))+~P1(f295(f295(f207(f911(f910(x96631,x96633),a897)),x96634),x96636)) % 192.26/192.34 [9995]~P1(f295(f295(f297(x99951),x99956),x99955))+P1(f295(f67(x99951,x99952,x99953,x99954,x99955),f295(f295(x99953,x99956),x99957)))+~P1(f295(f67(x99951,x99952,x99953,x99954,f295(f295(f23(f911(x99951,a897)),x99955),f295(f295(f275(x99951),x99956),f176(f911(x99951,a897))))),x99957)) % 192.26/192.34 [10455]~P147(x104551)+~P24(f910(x104552,x104553),x104551,f295(f228(x104552,x104553,x104551),f295(f295(f7(x104552,f911(x104553,x104551),f911(x104553,x104551)),f295(f295(f8(f911(x104551,x104551),f911(f911(x104553,x104551),f911(x104553,x104551)),x104552),f8(x104551,x104551,x104553)),f295(f295(f8(x104551,f911(x104551,x104551),x104552),f84(x104551)),x104554))),x104555)),f295(f295(f226(x104552,x104553),x104556),f295(f16(f911(x104553,a897),x104552),x104557)))+E(f295(f295(f6(x104551,x104551),f36(x104551)),f295(f212(x104551),f295(f295(f8(f911(x104552,a897),a897,x104551),f90(x104552)),f295(f295(f8(f911(x104552,f911(x104553,a897)),f911(x104552,a897),x104551),f295(f8(f911(x104553,a897),a897,x104552),f90(x104553))),f295(f295(f7(x104551,f911(x104552,f911(x104553,a897)),f911(x104552,f911(x104553,a897))),f295(f295(f8(f911(x104552,f911(f911(x104553,a897),f911(x104553,a897))),f911(f911(x104552,f911(x104553,a897)),f911(x104552,f911(x104553,a897))),x104551),f18(x104552,f911(x104553,a897),f911(x104553,a897))),f295(f295(f8(f911(x104552,f911(x104553,f911(a897,a897))),f911(x104552,f911(f911(x104553,a897),f911(x104553,a897))),x104551),f295(f8(f911(x104553,f911(a897,a897)),f911(f911(x104553,a897),f911(x104553,a897)),x104552),f18(x104553,a897,a897))),f295(f295(f8(f911(x104552,f911(x104553,a897)),f911(x104552,f911(x104553,f911(a897,a897))),x104551),f295(f8(f911(x104553,a897),f911(x104553,f911(a897,a897)),x104552),f295(f8(a897,f911(a897,a897),x104553),a293))),f295(f295(f7(x104551,f911(x104552,f911(x104553,x104551)),f911(x104552,f911(x104553,a897))),f295(f295(f8(f911(f911(x104553,x104551),f911(x104553,a897)),f911(f911(x104552,f911(x104553,x104551)),f911(x104552,f911(x104553,a897))),x104551),f8(f911(x104553,x104551),f911(x104553,a897),x104552)),f295(f295(f8(f911(x104551,a897),f911(f911(x104553,x104551),f911(x104553,a897)),x104551),f8(x104551,a897,x104553)),a292))),f295(f295(f7(x104552,f911(x104553,x104551),f911(x104553,x104551)),f295(f295(f8(f911(x104551,x104551),f911(f911(x104553,x104551),f911(x104553,x104551)),x104552),f8(x104551,x104551,x104553)),f295(f295(f8(x104551,f911(x104551,x104551),x104552),f84(x104551)),x104554))),x104555)))))),f295(f295(f7(x104552,f911(x104553,a897),f911(x104553,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x104553,a897),f911(x104553,a897)),x104552),f8(a897,a897,x104553)),f295(f295(f8(a897,f911(a897,a897),x104552),a293),f295(f295(f7(x104552,f911(x104552,a897),a897),f297(x104552)),x104556)))),f295(f295(f7(x104553,f911(x104553,a897),a897),f297(x104553)),x104557))))))),f295(f295(f84(x104551),f295(f295(f6(x104552,x104551),x104554),x104556)),f295(f295(f6(x104553,x104551),x104555),x104557))) % 192.26/192.34 [10259]~P43(x102592,x102591,x102597,x102594,x102593)+~P43(a897,a897,x102598,x102596,x102595)+E(f295(f79(x102591,x102592,f911(f911(x102592,a897),a897),f911(f911(x102591,a897),a897),x102593,f79(f911(x102591,a897),f911(x102592,a897),a897,a897,f79(x102592,x102591,a897,a897,x102594,x102595),x102596)),f297(x102592)),f297(x102591)) % 192.26/192.34 [9830]~P1(f295(f295(x98304,x98306),x98308))+~P1(f295(f295(x98305,x98308),x98307))+P1(f295(f295(f222(x98301,x98302,x98303,x98304,x98305),x98306),x98307)) % 192.26/192.34 [8976]~P18(x89768,x89761,x89763,x89765)+~P1(f295(f62(x89768),x89766))+E(f295(f295(f74(x89761,x89761,x89762),f295(x89763,x89764)),f295(f295(f74(x89761,x89761,x89762),f295(x89765,x89766)),x89767)),f295(f295(f74(x89761,x89761,x89762),f295(x89765,x89766)),f295(f295(f74(x89761,x89761,x89762),f295(x89763,x89764)),x89767))) % 192.26/192.34 [9819]~P21(x98197,x98192,x98195,x98198,x98196,x98191)+~P1(f295(f62(x98192),x98194))+E(f295(x98191,f295(f295(f275(x98192),x98193),x98194)),f295(f295(x98195,f295(x98196,x98193)),f295(x98191,x98194))) % 192.26/192.34 [9938]~P24(x99382,x99384,x99386,x99388)+~P24(x99381,x99383,x99385,x99387)+P24(f910(x99381,x99382),f910(x99383,x99384),f229(x99381,x99383,x99382,x99384,x99385,x99386),f295(f295(f226(x99381,x99382),x99387),f295(f16(f911(x99382,a897),x99381),x99388))) % 192.26/192.34 [9614]P1(f295(f295(f297(f910(x96141,x96142)),f295(f295(f217(x96141,x96142),x96143),x96144)),f295(f295(f255(x96141,x96145,x96142),x96146),x96147)))+~P1(f295(f295(f297(f910(x96141,x96145)),f295(f295(f217(x96141,x96145),x96143),x96148)),x96146))+~P1(f295(f295(f297(f910(x96145,x96142)),f295(f295(f217(x96145,x96142),x96148),x96144)),x96147)) % 192.26/192.34 [9796]~P1(f295(f295(f207(f911(f910(x97963,x97962),a897)),x97965),f295(f295(f226(x97963,x97962),x97968),f295(f16(f911(x97962,a897),x97963),x97967))))+~P1(f295(f295(f207(f911(f910(x97961,x97963),a897)),x97964),f295(f295(f226(x97961,x97963),x97966),f295(f16(f911(x97963,a897),x97961),x97968))))+P1(f295(f295(f207(f911(f910(x97961,x97962),a897)),f295(f295(f255(x97961,x97963,x97962),x97964),x97965)),f295(f295(f226(x97961,x97962),x97966),f295(f16(f911(x97962,a897),x97961),x97967)))) % 192.26/192.34 [9856]~E(x98563,x98565)+P1(f295(f295(f297(f910(f910(x98561,x98562),f910(x98561,x98562))),f295(f295(f217(f910(x98561,x98562),f910(x98561,x98562)),f295(f295(f217(x98561,x98562),x98563),x98564)),f295(f295(f217(x98561,x98562),x98565),x98566))),f288(x98561,x98562,x98567,x98568)))+~P1(f295(f295(f297(f910(x98562,x98562)),f295(f295(f217(x98562,x98562),x98564),x98566)),x98568)) % 192.26/192.34 [9956]E(x99561,x99562)+~P1(f295(f295(f297(f910(f910(x99563,x99565),f910(x99563,x99565))),f295(f295(f217(f910(x99563,x99565),f910(x99563,x99565)),f295(f295(f217(x99563,x99565),x99561),x99566)),f295(f295(f217(x99563,x99565),x99562),x99567))),f288(x99563,x99565,x99564,x99568)))+P1(f295(f295(f297(f910(x99563,x99563)),f295(f295(f217(x99563,x99563),x99561),x99562)),x99564)) % 192.26/192.34 [9975]~P1(f295(f295(f297(f910(f910(x99751,x99755),f910(x99751,x99755))),f295(f295(f217(f910(x99751,x99755),f910(x99751,x99755)),f295(f295(f217(x99751,x99755),x99752),x99756)),f295(f295(f217(x99751,x99755),x99753),x99757))),f288(x99751,x99755,x99754,x99758)))+P1(f295(f295(f297(f910(x99751,x99751)),f295(f295(f217(x99751,x99751),x99752),x99753)),x99754))+P1(f295(f295(f297(f910(x99755,x99755)),f295(f295(f217(x99755,x99755),x99756),x99757)),x99758)) % 192.26/192.34 [9891]~P22(x98917,x98915,x98911,x98918,x98912,x98914)+~P1(f295(f62(x98915),x98916))+E(f295(f295(x98911,f295(x98912,x98913)),f295(x98914,f295(f295(f23(f911(x98915,a897)),x98916),f295(f295(f275(x98915),x98913),f176(f911(x98915,a897)))))),f295(x98914,f295(f295(f275(x98915),x98913),x98916))) % 192.26/192.34 [9392]~P1(f295(f295(f295(x93925,x93928),x93926),x93927))+~P1(f295(f295(f297(x93921),x93928),x93924))+P1(f295(f295(f295(f295(f44(x93921,f911(x93922,f911(x93923,a897))),x93924),x93925),x93926),x93927)) % 192.26/192.34 [9601]P1(f295(f295(f295(x96011,x96012),x96013),x96014))+~P1(f295(f295(f297(x96015),x96012),x96016))+~P1(f295(f295(f295(f295(f43(x96015,f911(x96017,f911(x96018,a897))),x96016),x96011),x96013),x96014)) % 192.26/192.34 [9789]~P20(x97893,x97892,x97894,x97898,x97891)+~P1(f295(f62(x97892),x97897))+E(f295(f295(x97891,f295(f295(f18(x97892,x97893,x97893),f295(f295(f8(x97893,f911(x97893,x97893),x97892),x97894),x97895)),x97896)),x97897),f295(f295(x97894,f295(f295(x97891,x97895),x97897)),f295(f295(x97891,x97896),x97897))) % 192.26/192.34 [10117]~P43(x101172,x101174,x101176,x101178,x1011710)+~P43(x101171,x101173,x101175,x101179,x101177)+P43(f911(x101171,x101172),f911(x101173,x101174),f235(x101171,x101171,x101172,x101172,x101175,x101176),f79(x101173,x101171,x101172,x101174,x101177,x101178),f79(x101171,x101173,x101174,x101172,x101179,x1011710)) % 192.26/192.34 [10260]~P43(x102602,x102601,x102609,x102606,x102605)+~P43(x102603,x102604,x1026010,x102608,x102607)+E(f295(f79(x102601,x102602,f911(f911(x102602,x102603),x102603),f911(f911(x102601,x102604),x102604),x102605,f79(f911(x102601,x102604),f911(x102602,x102603),x102603,x102604,f79(x102602,x102601,x102604,x102603,x102606,x102607),x102608)),f89(x102602,x102603)),f89(x102601,x102604)) % 192.26/192.34 [10223]P1(f295(f295(x102231,f295(x102232,x102233)),f295(x102234,x102235)))+~P1(f295(f295(x102236,x102233),x102235))+~P1(f295(f295(f235(x102237,x102238,x102239,x1022310,x102236,x102231),x102232),x102234)) % 192.26/192.34 [10307]~P43(x103071,x103078,x103074,x103079,x1030710)+P1(f295(f295(f235(x103071,x103071,x103072,x103073,x103074,x103075),f237(x103071,x103072,f236(x103071,x103074),x103076)),f237(x103071,x103073,f236(x103071,x103074),x103077)))+~P1(f295(f295(f235(x103071,x103071,x103072,x103073,x103074,x103075),x103076),x103077)) % 192.26/192.34 [10309]~P43(x103091,x103098,x103094,x103099,x1030910)+~P1(f295(f295(f235(x103091,x103091,x103092,x103093,x103094,x103095),f237(x103091,x103092,f236(x103091,x103094),x103096)),f237(x103091,x103093,f236(x103091,x103094),x103097)))+P1(f295(f295(f235(x103091,x103091,x103092,x103093,x103094,x103095),x103096),x103097)) % 192.26/192.34 [10063]~E(f295(f276(x100632,x100634,x100636),x100638),x1006310)+~E(f295(f276(x100631,x100633,x100635),x100637),x100639)+E(f295(f276(f910(x100631,x100632),f910(x100633,x100634),f229(x100631,x100633,x100632,x100634,x100635,x100636)),f295(f295(f226(x100631,x100632),x100637),f295(f16(f911(x100632,a897),x100631),x100638))),f295(f295(f226(x100633,x100634),x100639),f295(f16(f911(x100634,a897),x100633),x1006310))) % 192.26/192.34 [10113]~P43(x101133,x101134,x1011310,x101136,x101138)+~P43(x101132,x101131,x1011311,x101137,x101135)+E(f295(f79(x101131,x101132,x101133,x101134,x101135,x101136),f295(f79(x101132,x101131,x101134,x101133,x101137,x101138),x101139)),x101139) % 192.26/192.34 [10201]~P43(x102012,x102011,x102017,x102018,x102015)+~P43(x102013,x102014,x1020111,x102016,x102019)+E(f295(f79(x102011,x102012,x102013,x102014,x102015,x102016),f237(x102012,x102013,f236(x102012,x102017),f295(f79(x102012,x102011,x102014,x102013,x102018,x102019),x1020110))),x1020110) % 192.26/192.34 [9999]~P43(x99993,x99994,x999910,x99996,x99997)+~P43(x99992,x99991,x999911,x99999,x99995)+E(f295(f79(x99991,x99992,x99993,x99994,x99995,x99996),f295(f295(f8(x99994,x99993,x99992),x99997),f295(f295(f8(x99991,x99994,x99992),x99998),x99999))),x99998) % 192.26/192.34 [5046]~P45(x50461,x50462)+~P46(x50461,x50462)+~P47(x50461,x50462)+P8(x50461,x50462) % 192.26/192.34 [5002]~P114(x50022)+~P12(x50022,x50021)+P12(x50022,f121(x50022,x50021))+E(x50021,f120(x50022)) % 192.26/192.34 [5003]~P114(x50032)+~P12(x50032,x50031)+P12(x50032,f708(x50031,x50032))+E(x50031,f120(x50032)) % 192.26/192.34 [5247]~P6(x52472)+E(f10(x52472,x52471),f41(x52472,x52471))+E(x52471,f176(f911(x52472,a897)))+~P1(f295(f62(x52472),x52471)) % 192.26/192.34 [5248]~P6(x52482)+E(f11(x52482,x52481),f42(x52482,x52481))+E(x52481,f176(f911(x52482,a897)))+~P1(f295(f62(x52482),x52481)) % 192.26/192.34 [5400]~P114(x54002)+~P12(x54002,x54001)+E(x54001,f120(x54002))+E(f295(f295(f140(x54002),f723(x54001,x54002)),f708(x54001,x54002)),x54001) % 192.26/192.34 [6200]~P99(x62002)+E(x62001,f176(f911(x62002,a897)))+P1(f295(f295(f207(x62002),f11(x62002,x62001)),f10(x62002,x62001)))+~P1(f295(f62(x62002),x62001)) % 192.26/192.34 [6209]~P40(x62092)+~P40(x62091)+E(x62091,x62092)+~E(f295(f276(a1,a902,a111),x62091),f295(f276(a1,a902,a111),x62092)) % 192.26/192.34 [9256]~P119(x92561)+~P1(f295(f295(f297(x92561),x92562),f116(x92561)))+P1(f295(f295(f208(x92561),f295(f295(f83(x92561),f295(f295(f83(x92561),f81(x92561)),x92562)),x92562)),f2(x92561)))+~P1(f295(f295(f208(x92561),x92562),f2(x92561))) % 192.26/192.34 [9492]~P119(x94921)+~P1(f295(f295(f297(x94921),x94922),f116(x94921)))+~P1(f295(f295(f208(x94921),f295(f295(f83(x94921),f295(f295(f83(x94921),f81(x94921)),x94922)),x94922)),f2(x94921)))+P1(f295(f295(f208(x94921),x94922),f2(x94921))) % 192.26/192.34 [5061]~P121(x50612)+~P147(x50612)+E(x50611,f2(a902))+E(f295(f295(f218(x50612),f2(x50612)),x50611),f2(x50612)) % 192.26/192.34 [5064]~P121(x50641)+~P147(x50641)+~E(x50642,f2(a902))+E(f295(f295(f218(x50641),f2(x50641)),x50642),f81(x50641)) % 192.26/192.34 [5233]~P146(x52332)+E(x52331,f81(x52332))+E(x52331,f295(f82(x52332),f81(x52332)))+~E(f295(f295(f84(x52332),x52331),x52331),f81(x52332)) % 192.26/192.34 [5483]~P96(x54832)+E(x54831,f2(x54832))+E(f85(x54832,x54831),f295(f82(x54832),f81(x54832)))+P1(f295(f295(f208(x54832),f2(x54832)),x54831)) % 192.26/192.34 [5721]~P96(x57212)+E(f85(x57212,x57211),f81(x57212))+E(x57211,f2(x57212))+~P1(f295(f295(f208(x57212),f2(x57212)),x57211)) % 192.26/192.34 [5730]E(x57301,x57302)+~E(f295(f110(a902),x57301),f295(f110(a902),x57302))+P1(f295(a179,f295(f110(a1),x57302)))+P1(f295(a179,f295(f110(a1),x57301))) % 192.26/192.34 [5779]~P103(x57791)+~E(x57792,f2(x57791))+E(f295(f295(f83(x57791),x57792),x57792),f2(x57791))+~P1(f295(f295(f297(x57791),x57792),f116(x57791))) % 192.26/192.34 [5818]E(x58181,f2(a1))+~E(f295(f295(f40(a1),x58182),x58181),f2(a1))+P1(f295(f295(f208(a1),x58181),x58182))+P1(f295(f295(f208(a1),x58182),x58181)) % 192.26/192.34 [5847]E(x58471,f2(a1))+~E(f295(f295(f40(a1),x58472),x58471),f2(a1))+P1(f295(f295(f207(a1),x58472),f2(a1)))+P1(f295(f295(f208(a1),x58472),x58471)) % 192.26/192.34 [5880]E(x58801,f2(a1))+~E(f295(f295(f40(a1),x58802),x58801),f2(a1))+P1(f295(f295(f207(a1),f2(a1)),x58802))+P1(f295(f295(f208(a1),x58801),x58802)) % 192.26/192.34 [5915]~P103(x59152)+E(x59151,f2(x59152))+~E(f295(f295(f83(x59152),x59151),x59151),f2(x59152))+~P1(f295(f295(f297(x59152),x59151),f116(x59152))) % 192.26/192.34 [5977]E(f295(f110(a902),x59771),f295(f110(a902),x59772))+~E(f295(f110(a1),x59772),f2(a1))+P1(f295(a179,f295(f110(a1),x59772)))+~P1(f295(a179,f295(f110(a1),x59771))) % 192.26/192.34 [6005]~E(f295(f110(a902),x60052),f295(f110(a902),x60051))+E(f295(f110(a1),x60051),f2(a1))+P1(f295(a179,f295(f110(a1),x60051)))+~P1(f295(a179,f295(f110(a1),x60052))) % 192.26/192.34 [6014]~P114(x60142)+E(x60141,f176(f911(x60142,a897)))+~P1(f295(f62(x60142),x60141))+P1(f295(f295(f297(x60142),f14(x60142,x60141)),x60141)) % 192.26/192.34 [6015]~P114(x60152)+E(x60151,f176(f911(x60152,a897)))+~P1(f295(f62(x60152),x60151))+P1(f295(f295(f297(x60152),f15(x60152,x60151)),x60151)) % 192.26/192.34 [6177]~P119(x61771)+~P104(x61771)+P1(f295(f295(f207(x61771),f2(x61771)),f295(f110(x61771),x61772)))+~P1(f295(f295(f207(a1),a86),x61772)) % 192.26/192.34 [6178]~P119(x61781)+~P104(x61781)+P1(f295(f295(f208(x61781),f2(x61781)),f295(f110(x61781),x61782)))+~P1(f295(f295(f208(a1),a86),x61782)) % 192.26/192.34 [6199]~P119(x61991)+~P104(x61991)+E(f295(f77(x61991),f295(f110(x61991),x61992)),f295(f110(x61991),x61992))+P1(f295(f295(f208(x61991),f295(f110(x61991),x61992)),f2(x61991))) % 192.26/192.34 [6234]E(x62341,x62342)+~E(f295(a111,x62341),f295(a111,x62342))+~P1(f295(f295(f207(a1),f2(a1)),x62342))+~P1(f295(f295(f207(a1),f2(a1)),x62341)) % 192.26/192.34 [6422]~P104(x64222)+~P119(x64222)+~P1(f295(f295(f207(x64222),f2(x64222)),f295(f110(x64222),x64221)))+P1(f295(f295(f207(a1),a86),x64221)) % 192.26/192.34 [6423]~P104(x64232)+~P119(x64232)+~P1(f295(f295(f208(x64232),f2(x64232)),f295(f110(x64232),x64231)))+P1(f295(f295(f208(a1),a86),x64231)) % 192.26/192.34 [6428]~P119(x64281)+~P104(x64281)+P1(f295(f295(f207(x64281),f295(f110(x64281),x64282)),f2(x64281)))+~P1(f295(f295(f207(a1),x64282),a86)) % 192.26/192.34 [6429]~P119(x64291)+~P104(x64291)+P1(f295(f295(f208(x64291),f295(f110(x64291),x64292)),f2(x64291)))+~P1(f295(f295(f208(a1),x64292),a86)) % 192.26/192.34 [6743]~P104(x67432)+~P119(x67432)+~P1(f295(f295(f207(x67432),f295(f110(x67432),x67431)),f2(x67432)))+P1(f295(f295(f207(a1),x67431),a86)) % 192.26/192.34 [6744]~P104(x67442)+~P119(x67442)+~P1(f295(f295(f208(x67442),f295(f110(x67442),x67441)),f2(x67442)))+P1(f295(f295(f208(a1),x67441),a86)) % 192.26/192.34 [6834]~P119(x68341)+~P104(x68341)+E(f295(f77(x68341),f295(f110(x68341),x68342)),f295(f82(x68341),f295(f110(x68341),x68342)))+~P1(f295(f295(f208(x68341),f295(f110(x68341),x68342)),f2(x68341))) % 192.26/192.34 [6851]E(f295(f110(a902),x68511),f295(f110(a902),x68512))+~E(f295(f110(a1),x68512),f2(a1))+~P1(f295(f295(f207(a1),f295(f110(a1),x68511)),f2(a1)))+~P1(f295(a179,f295(f110(a1),x68511))) % 192.26/192.34 [7721]~P114(x77212)+E(x77211,f176(f911(x77212,a897)))+~P1(f295(f62(x77212),x77211))+P1(f295(f295(f207(x77212),f12(x77212,f205(x77212),x77211)),f13(x77212,f206(x77212),x77211))) % 192.26/192.34 [8039]~P40(x80392)+~P7(x80391)+P1(f295(f295(f297(a1),x80391),x80392))+~P1(f295(f295(f297(a902),f295(a111,x80391)),f295(f276(a1,a902,a111),x80392))) % 192.26/192.34 [6011]~P145(x60112)+E(x60111,f2(a1))+E(f295(f82(x60112),f295(f109(x60112),f295(f82(a1),x60111))),f295(f109(x60112),x60111))+~P1(f295(f295(f208(a1),x60111),f2(a1))) % 192.26/192.34 [6082]~P103(x60821)+~P104(x60821)+~P27(x60821,f295(f110(x60821),x60822))+P27(x60821,f295(f110(x60821),f295(f295(f83(a1),x60822),x60822))) % 192.26/192.34 [6410]~P84(x64102)+E(x64101,f176(f911(x64102,a897)))+E(f15(x64102,f295(f276(x64102,x64102,f82(x64102)),x64101)),f295(f82(x64102),f14(x64102,x64101)))+~P1(f295(f62(x64102),x64101)) % 192.26/192.34 [6411]~P84(x64112)+E(x64111,f176(f911(x64112,a897)))+E(f14(x64112,f295(f276(x64112,x64112,f82(x64112)),x64111)),f295(f82(x64112),f15(x64112,x64111)))+~P1(f295(f62(x64112),x64111)) % 192.26/192.34 [6446]~P103(x64461)+~P104(x64461)+P27(x64461,f295(f110(x64461),x64462))+~P27(x64461,f295(f110(x64461),f295(f295(f83(a1),x64462),x64462))) % 192.26/192.34 [6536]E(x65361,f2(a1))+E(f295(a52,f51(f295(f82(a1),x65361),f295(f82(a1),x65362))),f47(x65361,x65362))+P1(f295(f295(f207(a1),f2(a1)),x65362))+~P1(f295(f295(f207(a1),f2(a1)),x65361)) % 192.26/192.34 [8839]~P40(x88392)+~P40(x88391)+P1(f295(f295(f208(f911(a902,a897)),f295(f276(a1,a902,a111),x88391)),f295(f276(a1,a902,a111),x88392)))+~P1(f295(f295(f208(f911(a1,a897)),x88391),x88392)) % 192.26/192.34 [9084]~E(f728(x90842,x90841),f729(x90842,x90841))+~P1(f295(f126(x90841),f730(x90842,x90841)))+~P1(f295(f126(f903(x90841)),x90842))+P1(f295(f126(x90841),f295(f131(f903(x90841),f903(x90841),f122(x90841),f120(x90841)),x90842))) % 192.26/192.34 [9179]~P40(x91792)+~P40(x91791)+~P1(f295(f295(f207(f911(a902,a897)),f295(f276(a1,a902,a111),x91791)),f295(f276(a1,a902,a111),x91792)))+P1(f295(f295(f207(f911(a1,a897)),x91791),x91792)) % 192.26/192.34 [9180]~P40(x91802)+~P40(x91801)+~P1(f295(f295(f208(f911(a902,a897)),f295(f276(a1,a902,a111),x91801)),f295(f276(a1,a902,a111),x91802)))+P1(f295(f295(f208(f911(a1,a897)),x91801),x91802)) % 192.26/192.34 [9186]~E(f728(x91862,x91861),f729(x91862,x91861))+~P1(f295(f126(f903(x91861)),x91862))+P1(f295(f126(x91861),f295(f131(f903(x91861),f903(x91861),f122(x91861),f120(x91861)),x91862)))+P1(f295(f295(f297(f903(x91861)),f730(x91862,x91861)),f295(f160(f903(x91861)),x91862))) % 192.26/192.34 [9227]~P1(f295(f126(x92271),f730(x92272,x92271)))+~P1(f295(f126(f903(x92271)),x92272))+P1(f295(f126(x92271),f295(f131(f903(x92271),f903(x92271),f122(x92271),f120(x92271)),x92272)))+P1(f295(f295(f297(f903(x92271)),f729(x92272,x92271)),f295(f160(f903(x92271)),x92272))) % 192.26/192.34 [9228]~P1(f295(f126(x92281),f730(x92282,x92281)))+~P1(f295(f126(f903(x92281)),x92282))+P1(f295(f126(x92281),f295(f131(f903(x92281),f903(x92281),f122(x92281),f120(x92281)),x92282)))+P1(f295(f295(f297(f903(x92281)),f728(x92282,x92281)),f295(f160(f903(x92281)),x92282))) % 192.26/192.34 [9299]~P1(f295(f126(f903(x92991)),x92992))+P1(f295(f126(x92991),f295(f131(f903(x92991),f903(x92991),f122(x92991),f120(x92991)),x92992)))+P1(f295(f295(f297(f903(x92991)),f729(x92992,x92991)),f295(f160(f903(x92991)),x92992)))+P1(f295(f295(f297(f903(x92991)),f730(x92992,x92991)),f295(f160(f903(x92991)),x92992))) % 192.26/192.34 [9300]~P1(f295(f126(f903(x93001)),x93002))+P1(f295(f126(x93001),f295(f131(f903(x93001),f903(x93001),f122(x93001),f120(x93001)),x93002)))+P1(f295(f295(f297(f903(x93001)),f728(x93002,x93001)),f295(f160(f903(x93001)),x93002)))+P1(f295(f295(f297(f903(x93001)),f730(x93002,x93001)),f295(f160(f903(x93001)),x93002))) % 192.26/192.34 [9314]~E(f295(f295(f108(f911(x93141,a897)),f295(f160(x93141),f729(x93142,x93141))),f295(f160(x93141),f728(x93142,x93141))),f176(f911(x93141,a897)))+~P1(f295(f126(x93141),f730(x93142,x93141)))+~P1(f295(f126(f903(x93141)),x93142))+P1(f295(f126(x93141),f295(f131(f903(x93141),f903(x93141),f122(x93141),f120(x93141)),x93142))) % 192.26/192.34 [9375]~E(f295(f295(f108(f911(x93751,a897)),f295(f160(x93751),f729(x93752,x93751))),f295(f160(x93751),f728(x93752,x93751))),f176(f911(x93751,a897)))+~P1(f295(f126(f903(x93751)),x93752))+P1(f295(f126(x93751),f295(f131(f903(x93751),f903(x93751),f122(x93751),f120(x93751)),x93752)))+P1(f295(f295(f297(f903(x93751)),f730(x93752,x93751)),f295(f160(f903(x93751)),x93752))) % 192.26/192.34 [9638]E(x96381,f2(a1))+E(x96382,f2(a1))+E(f295(f295(f89(a1,f910(a1,a1)),f295(f295(a193,x96382),x96381)),f295(f295(f18(a1,a1,f910(a1,a1)),f295(f295(f8(a1,f911(a1,f910(a1,a1)),a1),f217(a1,a1)),f295(f40(a1),x96382))),f295(f40(a1),x96381))),f191(x96382,x96381))+P1(f295(f295(f208(a1),x96381),f2(a1))) % 192.26/192.34 [8374]~P104(x83742)+~P119(x83742)+~P1(f295(f295(f207(x83742),f295(f110(x83742),x83741)),f81(x83742)))+P1(f295(f295(f207(a1),x83741),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))) % 192.26/192.34 [8375]~P104(x83752)+~P119(x83752)+~P1(f295(f295(f208(x83752),f295(f110(x83752),x83751)),f81(x83752)))+P1(f295(f295(f208(a1),x83751),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))) % 192.26/192.34 [8650]~P119(x86501)+~P104(x86501)+P1(f295(f295(f207(x86501),f295(f110(x86501),x86502)),f81(x86501)))+~P1(f295(f295(f207(a1),x86502),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))) % 192.26/192.34 [8651]~P119(x86511)+~P104(x86511)+P1(f295(f295(f208(x86511),f295(f110(x86511),x86512)),f81(x86511)))+~P1(f295(f295(f208(a1),x86512),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))) % 192.26/192.34 [8869]~P104(x88692)+~P119(x88692)+~P1(f295(f295(f207(x88692),f81(x88692)),f295(f110(x88692),x88691)))+P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),x88691)) % 192.26/192.34 [8870]~P104(x88702)+~P119(x88702)+~P1(f295(f295(f208(x88702),f81(x88702)),f295(f110(x88702),x88701)))+P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),x88701)) % 192.26/192.34 [9262]~P119(x92621)+~P104(x92621)+P1(f295(f295(f207(x92621),f81(x92621)),f295(f110(x92621),x92622)))+~P1(f295(f295(f207(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),x92622)) % 192.26/192.34 [9263]~P119(x92631)+~P104(x92631)+P1(f295(f295(f208(x92631),f81(x92631)),f295(f110(x92631),x92632)))+~P1(f295(f295(f208(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),x92632)) % 192.26/192.34 [9763]~P146(x97632)+E(x97631,f81(x97632))+E(x97631,f295(f82(x97632),f81(x97632)))+~E(f295(f295(f218(x97632),x97631),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f81(x97632)) % 192.26/192.34 [10037]~P74(x100371)+~P104(x100371)+~P1(f295(f295(f208(x100371),f2(x100371)),x100372))+P1(f295(f295(f208(x100371),f2(x100371)),f295(f295(f256(x100371),x100372),f295(f110(x100371),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.34 [10094]~P74(x100941)+~P104(x100941)+P1(f295(f295(f208(x100941),f2(x100941)),x100942))+~P1(f295(f295(f208(x100941),f2(x100941)),f295(f295(f256(x100941),x100942),f295(f110(x100941),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.34 [10425]~P145(x104252)+E(x104251,f2(a1))+P1(f295(f295(f208(a1),x104251),f2(a1)))+E(f295(f295(f228(a1,a1,x104252),f295(f295(f7(a1,f911(a1,f911(x104252,x104252)),f911(a1,x104252)),f295(f295(f8(f911(f911(x104252,x104252),x104252),f911(f911(a1,f911(x104252,x104252)),f911(a1,x104252)),a1),f8(f911(x104252,x104252),x104252,a1)),f295(f295(f8(x104252,f911(f911(x104252,x104252),x104252),a1),f89(x104252,x104252)),f109(x104252)))),f295(f295(f7(a1,f911(x104252,x104252),f911(x104252,x104252)),f295(f295(f8(f911(x104252,f911(x104252,x104252)),f911(f911(x104252,x104252),f911(x104252,x104252)),a1),f18(x104252,x104252,x104252)),f295(f295(f7(a1,f911(x104252,x104252),f911(x104252,f911(x104252,x104252))),f295(f295(f8(f911(x104252,f911(x104252,x104252)),f911(f911(x104252,x104252),f911(x104252,f911(x104252,x104252))),a1),f8(x104252,f911(x104252,x104252),x104252)),f295(f295(f8(a897,f911(x104252,f911(x104252,x104252)),a1),f103(x104252)),f295(f295(f7(a1,a1,a897),a292),f2(a1))))),f295(f295(f18(x104252,x104252,x104252),f83(x104252)),f5(x104252))))),f295(f295(f7(x104252,x104252,x104252),f295(f295(f8(x104252,f911(x104252,x104252),x104252),f83(x104252)),f295(f295(f18(x104252,x104252,x104252),f83(x104252)),f5(x104252)))),f81(x104252))))),f47(x104251,f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f109(x104252),x104251)) % 192.26/192.34 [5494]~P38(x54941,x54943)+~P37(x54941,x54943)+~P58(x54941,x54942,x54943)+P9(x54941,x54942,x54943) % 192.26/192.34 [5030]~P103(x50303)+~P104(x50303)+E(x50301,x50302)+~E(f295(f110(x50303),x50301),f295(f110(x50303),x50302)) % 192.26/192.34 [5504]~P45(x55041,x55042)+~P46(x55041,x55042)+P14(x55041,x55042)+~P1(f295(f295(x55042,x55043),x55043)) % 192.26/192.34 [5992]P14(x59922,x59921)+E(f295(x59921,f380(x59921)),f295(x59921,f391(x59921)))+P1(f295(f295(x59921,f380(x59921)),f391(x59921)))+~P1(f295(f295(x59921,x59923),x59923)) % 192.26/192.34 [6187]~P1(f295(x61871,x61872))+~P1(f295(x61871,x61873))+~P1(f295(f295(f207(a902),x61873),f436(x61872,x61871)))+P1(f295(x61871,f2(a902))) % 192.26/192.34 [6253]P14(x62531,x62532)+P1(f295(f295(x62532,f380(x62532)),f380(x62532)))+P1(f295(f295(x62532,f380(x62532)),f391(x62532)))+~P1(f295(f295(x62532,x62533),x62533)) % 192.26/192.34 [6254]P14(x62541,x62542)+P1(f295(f295(x62542,f380(x62542)),f391(x62542)))+P1(f295(f295(x62542,f391(x62542)),f391(x62542)))+~P1(f295(f295(x62542,x62543),x62543)) % 192.26/192.34 [6603]P153(x66032,x66031,x66033)+E(x66031,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f840(x66033,x66031,x66032)))+P1(f295(f295(f208(a1),x66031),f2(a1))) % 192.26/192.34 [6604]P152(x66042,x66041,x66043)+E(x66041,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f848(x66043,x66041,x66042)))+P1(f295(f295(f208(a1),x66041),f2(a1))) % 192.26/192.34 [6723]P152(x67231,x67232,x67233)+~P1(f295(x67231,x67233))+P1(f295(f295(f207(a1),f2(a1)),f848(x67233,x67232,x67231)))+P1(f295(f295(f208(a1),x67232),f2(a1))) % 192.26/192.34 [6749]P153(x67491,x67492,x67493)+P1(f295(f295(f207(a1),f2(a1)),f840(x67493,x67492,x67491)))+~P1(f295(x67491,f2(a1)))+P1(f295(f295(f208(a1),x67492),f2(a1))) % 192.26/192.34 [6777]P153(x67772,x67771,x67773)+E(x67771,f2(a1))+~P1(f295(x67772,f841(x67773,x67771,x67772)))+P1(f295(f295(f208(a1),x67771),f2(a1))) % 192.26/192.34 [6778]P152(x67782,x67781,x67783)+E(x67781,f2(a1))+~P1(f295(x67782,f848(x67783,x67781,x67782)))+P1(f295(f295(f208(a1),x67781),f2(a1))) % 192.26/192.34 [6875]~P6(x68751)+~P114(x68751)+~P1(f295(f295(f208(x68751),x68752),f41(x68751,x68753)))+P1(f295(f295(f208(x68751),x68752),f334(x68753,x68752,x68751))) % 192.26/192.34 [6884]P152(x68841,x68842,x68843)+~P1(f295(x68841,x68843))+~P1(f295(x68841,f848(x68843,x68842,x68841)))+P1(f295(f295(f208(a1),x68842),f2(a1))) % 192.26/192.34 [6913]P153(x69131,x69132,x69133)+~P1(f295(x69131,f841(x69133,x69132,x69131)))+~P1(f295(x69131,f2(a1)))+P1(f295(f295(f208(a1),x69132),f2(a1))) % 192.26/192.34 [7161]P153(x71612,x71611,x71613)+E(x71611,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f840(x71613,x71611,x71612)))+P1(f295(f295(f208(a1),x71611),f839(x71613,x71611,x71612))) % 192.26/192.34 [7162]P152(x71622,x71621,x71623)+E(x71621,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f848(x71623,x71621,x71622)))+P1(f295(f295(f208(a1),x71621),f847(x71623,x71621,x71622))) % 192.26/192.34 [7282]P152(x72821,x72822,x72823)+~P1(f295(x72821,x72823))+P1(f295(f295(f207(a1),f2(a1)),f848(x72823,x72822,x72821)))+P1(f295(f295(f208(a1),x72822),f847(x72823,x72822,x72821))) % 192.26/192.34 [7302]P153(x73021,x73022,x73023)+P1(f295(f295(f207(a1),f2(a1)),f840(x73023,x73022,x73021)))+P1(f295(f295(f208(a1),x73022),f839(x73023,x73022,x73021)))+~P1(f295(x73021,f2(a1))) % 192.26/192.34 [7334]P153(x73342,x73341,x73343)+E(x73341,f2(a1))+~P1(f295(x73342,f841(x73343,x73341,x73342)))+P1(f295(f295(f208(a1),x73341),f839(x73343,x73341,x73342))) % 192.26/192.34 [7335]P152(x73352,x73351,x73353)+E(x73351,f2(a1))+~P1(f295(x73352,f848(x73353,x73351,x73352)))+P1(f295(f295(f208(a1),x73351),f847(x73353,x73351,x73352))) % 192.26/192.34 [7380]P153(x73802,x73801,x73803)+E(x73801,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f840(x73803,x73801,x73802)))+~P1(f295(x73802,f846(x73803,x73801,x73802))) % 192.26/192.34 [7381]P152(x73812,x73811,x73813)+E(x73811,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f848(x73813,x73811,x73812)))+~P1(f295(x73812,f847(x73813,x73811,x73812))) % 192.26/192.34 [7474]P152(x74741,x74742,x74743)+~P1(f295(x74741,x74743))+~P1(f295(x74741,f848(x74743,x74742,x74741)))+P1(f295(f295(f208(a1),x74742),f847(x74743,x74742,x74741))) % 192.26/192.34 [7489]P153(x74891,x74892,x74893)+~P1(f295(x74891,f841(x74893,x74892,x74891)))+P1(f295(f295(f208(a1),x74892),f839(x74893,x74892,x74891)))+~P1(f295(x74891,f2(a1))) % 192.26/192.34 [7493]P152(x74931,x74932,x74933)+~P1(f295(x74931,x74933))+P1(f295(f295(f207(a1),f2(a1)),f848(x74933,x74932,x74931)))+~P1(f295(x74931,f847(x74933,x74932,x74931))) % 192.26/192.34 [7511]P153(x75111,x75112,x75113)+P1(f295(f295(f207(a1),f2(a1)),f840(x75113,x75112,x75111)))+~P1(f295(x75111,f846(x75113,x75112,x75111)))+~P1(f295(x75111,f2(a1))) % 192.26/192.34 [7534]P153(x75342,x75341,x75343)+E(x75341,f2(a1))+~P1(f295(x75342,f841(x75343,x75341,x75342)))+~P1(f295(x75342,f846(x75343,x75341,x75342))) % 192.26/192.34 [7535]P152(x75352,x75351,x75353)+E(x75351,f2(a1))+~P1(f295(x75352,f848(x75353,x75351,x75352)))+~P1(f295(x75352,f847(x75353,x75351,x75352))) % 192.26/192.34 [7621]P152(x76211,x76212,x76213)+~P1(f295(x76211,x76213))+~P1(f295(x76211,f848(x76213,x76212,x76211)))+~P1(f295(x76211,f847(x76213,x76212,x76211))) % 192.26/192.34 [7641]P153(x76411,x76412,x76413)+~P1(f295(x76411,f841(x76413,x76412,x76411)))+~P1(f295(x76411,f846(x76413,x76412,x76411)))+~P1(f295(x76411,f2(a1))) % 192.26/192.34 [7681]P153(x76812,x76811,x76813)+E(x76811,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f840(x76813,x76811,x76812)))+P1(f295(f295(f207(a1),f839(x76813,x76811,x76812)),f2(a1))) % 192.26/192.34 [7682]P152(x76822,x76821,x76823)+E(x76821,f2(a1))+P1(f295(f295(f207(a1),f2(a1)),f848(x76823,x76821,x76822)))+P1(f295(f295(f207(a1),f847(x76823,x76821,x76822)),f2(a1))) % 192.26/192.34 [7683]~P145(x76831)+~P1(f295(f295(f297(x76831),x76833),f116(x76831)))+~P1(f295(f295(f297(x76831),x76832),f116(x76831)))+P1(f295(f295(f297(x76831),f295(f295(f23(x76831),x76832),x76833)),f116(x76831))) % 192.26/192.34 [7684]~P118(x76841)+~P1(f295(f295(f297(x76841),x76843),f173(x76841)))+~P1(f295(f295(f297(x76841),x76842),f173(x76841)))+P1(f295(f295(f297(x76841),f295(f295(f83(x76841),x76842),x76843)),f173(x76841))) % 192.26/192.34 [7685]~P145(x76851)+~P1(f295(f295(f297(x76851),x76853),f116(x76851)))+~P1(f295(f295(f297(x76851),x76852),f116(x76851)))+P1(f295(f295(f297(x76851),f295(f295(f83(x76851),x76852),x76853)),f116(x76851))) % 192.26/192.34 [7686]~P118(x76861)+~P1(f295(f295(f297(x76861),x76863),f173(x76861)))+~P1(f295(f295(f297(x76861),x76862),f173(x76861)))+P1(f295(f295(f297(x76861),f295(f295(f84(x76861),x76862),x76863)),f173(x76861))) % 192.26/192.34 [7687]~P145(x76871)+~P1(f295(f295(f297(x76871),x76873),f116(x76871)))+~P1(f295(f295(f297(x76871),x76872),f116(x76871)))+P1(f295(f295(f297(x76871),f295(f295(f84(x76871),x76872),x76873)),f116(x76871))) % 192.26/192.34 [7688]~P91(x76881)+~P1(f295(f295(f207(x76881),x76883),f2(x76881)))+~P1(f295(f295(f207(x76881),x76882),f2(x76881)))+P1(f295(f295(f207(x76881),f295(f295(f83(x76881),x76882),x76883)),f2(x76881))) % 192.26/192.34 [7689]~P91(x76891)+~P1(f295(f295(f207(x76891),x76893),f2(x76891)))+~P1(f295(f295(f208(x76891),x76892),f2(x76891)))+P1(f295(f295(f208(x76891),f295(f295(f83(x76891),x76892),x76893)),f2(x76891))) % 192.26/192.34 [7690]~P91(x76901)+~P1(f295(f295(f207(x76901),x76902),f2(x76901)))+~P1(f295(f295(f208(x76901),x76903),f2(x76901)))+P1(f295(f295(f208(x76901),f295(f295(f83(x76901),x76902),x76903)),f2(x76901))) % 192.26/192.34 [7691]~P91(x76911)+~P1(f295(f295(f208(x76911),x76913),f2(x76911)))+~P1(f295(f295(f208(x76911),x76912),f2(x76911)))+P1(f295(f295(f208(x76911),f295(f295(f83(x76911),x76912),x76913)),f2(x76911))) % 192.26/192.34 [7717]P153(x77173,x77171,x77172)+E(x77171,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x77171),f841(x77172,x77171,x77173))),f840(x77172,x77171,x77173)),x77172)+P1(f295(f295(f208(a1),x77171),f2(a1))) % 192.26/192.34 [7718]P152(x77183,x77181,x77182)+E(x77181,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x77181),f849(x77182,x77181,x77183))),f848(x77182,x77181,x77183)),x77182)+P1(f295(f295(f208(a1),x77181),f2(a1))) % 192.26/192.34 [7800]P152(x78001,x78002,x78003)+~P1(f295(x78001,x78003))+P1(f295(f295(f207(a1),f2(a1)),f848(x78003,x78002,x78001)))+P1(f295(f295(f207(a1),f847(x78003,x78002,x78001)),f2(a1))) % 192.26/192.34 [7829]P153(x78291,x78292,x78293)+P1(f295(f295(f207(a1),f2(a1)),f840(x78293,x78292,x78291)))+~P1(f295(x78291,f2(a1)))+P1(f295(f295(f207(a1),f839(x78293,x78292,x78291)),f2(a1))) % 192.26/192.34 [7839]P152(x78393,x78391,x78392)+~P1(f295(x78393,x78392))+E(f295(f295(f83(a1),f295(f295(f84(a1),x78391),f849(x78392,x78391,x78393))),f848(x78392,x78391,x78393)),x78392)+P1(f295(f295(f208(a1),x78391),f2(a1))) % 192.26/192.34 [7847]P153(x78472,x78471,x78473)+E(x78471,f2(a1))+~P1(f295(x78472,f841(x78473,x78471,x78472)))+P1(f295(f295(f207(a1),f839(x78473,x78471,x78472)),f2(a1))) % 192.26/192.34 [7848]P152(x78482,x78481,x78483)+E(x78481,f2(a1))+~P1(f295(x78482,f848(x78483,x78481,x78482)))+P1(f295(f295(f207(a1),f847(x78483,x78481,x78482)),f2(a1))) % 192.26/192.34 [7853]P153(x78533,x78531,x78532)+E(f295(f295(f83(a1),f295(f295(f84(a1),x78531),f841(x78532,x78531,x78533))),f840(x78532,x78531,x78533)),x78532)+~P1(f295(x78533,f2(a1)))+P1(f295(f295(f208(a1),x78531),f2(a1))) % 192.26/192.34 [7908]P152(x79081,x79082,x79083)+~P1(f295(x79081,x79083))+~P1(f295(x79081,f848(x79083,x79082,x79081)))+P1(f295(f295(f207(a1),f847(x79083,x79082,x79081)),f2(a1))) % 192.26/192.34 [7912]P153(x79121,x79122,x79123)+~P1(f295(x79121,f841(x79123,x79122,x79121)))+~P1(f295(x79121,f2(a1)))+P1(f295(f295(f207(a1),f839(x79123,x79122,x79121)),f2(a1))) % 192.26/192.34 [7981]~P133(x79811)+~P1(f295(f295(f207(x79811),f295(f295(f84(x79811),x79813),x79812)),f2(x79811)))+P1(f295(f295(f207(x79811),x79812),f2(x79811)))+P1(f295(f295(f207(x79811),x79813),f2(x79811))) % 192.26/192.34 [7982]~P74(x79821)+~P1(f295(f295(f207(x79821),f295(f295(f256(x79821),x79823),x79822)),f2(x79821)))+P1(f295(f295(f207(x79821),x79822),f2(x79821)))+P1(f295(f295(f207(x79821),x79823),f2(x79821))) % 192.26/192.34 [7983]~P74(x79831)+~P1(f295(f295(f208(x79831),f295(f295(f256(x79831),x79833),x79832)),f2(x79831)))+P1(f295(f295(f208(x79831),x79832),f2(x79831)))+P1(f295(f295(f208(x79831),x79833),f2(x79831))) % 192.26/192.34 [8096]P153(x80963,x80961,x80962)+E(x80961,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x80961),f841(x80962,x80961,x80963))),f840(x80962,x80961,x80963)),x80962)+P1(f295(f295(f208(a1),x80961),f839(x80962,x80961,x80963))) % 192.26/192.34 [8097]P152(x80973,x80971,x80972)+E(x80971,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x80971),f849(x80972,x80971,x80973))),f848(x80972,x80971,x80973)),x80972)+P1(f295(f295(f208(a1),x80971),f847(x80972,x80971,x80973))) % 192.26/192.34 [8110]P153(x81103,x81101,x81102)+E(x81101,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81101),f846(x81102,x81101,x81103))),f839(x81102,x81101,x81103)),x81102)+P1(f295(f295(f207(a1),f2(a1)),f840(x81102,x81101,x81103))) % 192.26/192.34 [8111]P152(x81113,x81111,x81112)+E(x81111,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81111),f850(x81112,x81111,x81113))),f847(x81112,x81111,x81113)),x81112)+P1(f295(f295(f207(a1),f2(a1)),f848(x81112,x81111,x81113))) % 192.26/192.34 [8159]P152(x81593,x81591,x81592)+~P1(f295(x81593,x81592))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81591),f849(x81592,x81591,x81593))),f848(x81592,x81591,x81593)),x81592)+P1(f295(f295(f208(a1),x81591),f847(x81592,x81591,x81593))) % 192.26/192.34 [8172]P153(x81723,x81721,x81722)+E(f295(f295(f83(a1),f295(f295(f84(a1),x81721),f841(x81722,x81721,x81723))),f840(x81722,x81721,x81723)),x81722)+P1(f295(f295(f208(a1),x81721),f839(x81722,x81721,x81723)))+~P1(f295(x81723,f2(a1))) % 192.26/192.34 [8178]P152(x81783,x81781,x81782)+~P1(f295(x81783,x81782))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81781),f850(x81782,x81781,x81783))),f847(x81782,x81781,x81783)),x81782)+P1(f295(f295(f207(a1),f2(a1)),f848(x81782,x81781,x81783))) % 192.26/192.34 [8185]P153(x81853,x81851,x81852)+E(f295(f295(f83(a1),f295(f295(f84(a1),x81851),f846(x81852,x81851,x81853))),f839(x81852,x81851,x81853)),x81852)+P1(f295(f295(f207(a1),f2(a1)),f840(x81852,x81851,x81853)))+~P1(f295(x81853,f2(a1))) % 192.26/192.34 [8196]P153(x81963,x81961,x81962)+E(x81961,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81961),f841(x81962,x81961,x81963))),f840(x81962,x81961,x81963)),x81962)+~P1(f295(x81963,f846(x81962,x81961,x81963))) % 192.26/192.34 [8197]P152(x81973,x81971,x81972)+E(x81971,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81971),f849(x81972,x81971,x81973))),f848(x81972,x81971,x81973)),x81972)+~P1(f295(x81973,f847(x81972,x81971,x81973))) % 192.26/192.34 [8198]P153(x81983,x81981,x81982)+E(x81981,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81981),f846(x81982,x81981,x81983))),f839(x81982,x81981,x81983)),x81982)+~P1(f295(x81983,f841(x81982,x81981,x81983))) % 192.26/192.34 [8199]P152(x81993,x81991,x81992)+E(x81991,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x81991),f850(x81992,x81991,x81993))),f847(x81992,x81991,x81993)),x81992)+~P1(f295(x81993,f848(x81992,x81991,x81993))) % 192.26/192.34 [8259]P152(x82593,x82591,x82592)+~P1(f295(x82593,x82592))+E(f295(f295(f83(a1),f295(f295(f84(a1),x82591),f849(x82592,x82591,x82593))),f848(x82592,x82591,x82593)),x82592)+~P1(f295(x82593,f847(x82592,x82591,x82593))) % 192.26/192.34 [8260]P152(x82603,x82601,x82602)+~P1(f295(x82603,x82602))+E(f295(f295(f83(a1),f295(f295(f84(a1),x82601),f850(x82602,x82601,x82603))),f847(x82602,x82601,x82603)),x82602)+~P1(f295(x82603,f848(x82602,x82601,x82603))) % 192.26/192.34 [8269]P153(x82693,x82691,x82692)+E(f295(f295(f83(a1),f295(f295(f84(a1),x82691),f841(x82692,x82691,x82693))),f840(x82692,x82691,x82693)),x82692)+~P1(f295(x82693,f846(x82692,x82691,x82693)))+~P1(f295(x82693,f2(a1))) % 192.26/192.34 [8270]P153(x82703,x82701,x82702)+E(f295(f295(f83(a1),f295(f295(f84(a1),x82701),f846(x82702,x82701,x82703))),f839(x82702,x82701,x82703)),x82702)+~P1(f295(x82703,f841(x82702,x82701,x82703)))+~P1(f295(x82703,f2(a1))) % 192.26/192.34 [8367]P153(x83673,x83671,x83672)+E(x83671,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x83671),f841(x83672,x83671,x83673))),f840(x83672,x83671,x83673)),x83672)+P1(f295(f295(f207(a1),f839(x83672,x83671,x83673)),f2(a1))) % 192.26/192.34 [8368]P152(x83683,x83681,x83682)+E(x83681,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x83681),f849(x83682,x83681,x83683))),f848(x83682,x83681,x83683)),x83682)+P1(f295(f295(f207(a1),f847(x83682,x83681,x83683)),f2(a1))) % 192.26/192.34 [8408]P152(x84083,x84081,x84082)+~P1(f295(x84083,x84082))+E(f295(f295(f83(a1),f295(f295(f84(a1),x84081),f849(x84082,x84081,x84083))),f848(x84082,x84081,x84083)),x84082)+P1(f295(f295(f207(a1),f847(x84082,x84081,x84083)),f2(a1))) % 192.26/192.34 [8414]P153(x84143,x84141,x84142)+E(f295(f295(f83(a1),f295(f295(f84(a1),x84141),f841(x84142,x84141,x84143))),f840(x84142,x84141,x84143)),x84142)+~P1(f295(x84143,f2(a1)))+P1(f295(f295(f207(a1),f839(x84142,x84141,x84143)),f2(a1))) % 192.26/192.34 [8543]P153(x85433,x85431,x85432)+E(x85431,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x85431),f846(x85432,x85431,x85433))),f839(x85432,x85431,x85433)),x85432)+E(f295(f295(f83(a1),f295(f295(f84(a1),x85431),f841(x85432,x85431,x85433))),f840(x85432,x85431,x85433)),x85432) % 192.26/192.34 [8544]P152(x85443,x85441,x85442)+E(x85441,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x85441),f850(x85442,x85441,x85443))),f847(x85442,x85441,x85443)),x85442)+E(f295(f295(f83(a1),f295(f295(f84(a1),x85441),f849(x85442,x85441,x85443))),f848(x85442,x85441,x85443)),x85442) % 192.26/192.34 [8568]P152(x85683,x85681,x85682)+~P1(f295(x85683,x85682))+E(f295(f295(f83(a1),f295(f295(f84(a1),x85681),f850(x85682,x85681,x85683))),f847(x85682,x85681,x85683)),x85682)+E(f295(f295(f83(a1),f295(f295(f84(a1),x85681),f849(x85682,x85681,x85683))),f848(x85682,x85681,x85683)),x85682) % 192.26/192.34 [8578]P153(x85783,x85781,x85782)+E(f295(f295(f83(a1),f295(f295(f84(a1),x85781),f846(x85782,x85781,x85783))),f839(x85782,x85781,x85783)),x85782)+E(f295(f295(f83(a1),f295(f295(f84(a1),x85781),f841(x85782,x85781,x85783))),f840(x85782,x85781,x85783)),x85782)+~P1(f295(x85783,f2(a1))) % 192.26/192.34 [9269]~P133(x92691)+~E(x92693,f2(x92691))+~E(x92692,f2(x92691))+P1(f295(f295(f207(x92691),f295(f295(f83(x92691),f295(f295(f84(x92691),x92692),x92692)),f295(f295(f84(x92691),x92693),x92693))),f2(x92691))) % 192.26/192.34 [10369]~P119(x103691)+~E(x103693,f2(x103691))+~E(x103692,f2(x103691))+P1(f295(f295(f207(x103691),f295(f295(f83(x103691),f295(f295(f218(x103691),x103692),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103691),x103693),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))),f2(x103691))) % 192.26/192.34 [4978]~E(x49783,x49781)+~P126(x49782)+E(x49781,f2(x49782))+E(f295(f295(f256(x49782),x49783),x49781),f81(x49782)) % 192.26/192.34 [5031]~P101(x50311)+~E(x50313,f176(x50311))+~E(x50312,f176(x50311))+E(f295(f295(f117(x50311),x50312),x50313),f176(x50311)) % 192.26/192.34 [5032]~P100(x50321)+~E(x50323,f214(x50321))+~E(x50322,f214(x50321))+E(f295(f295(f108(x50321),x50322),x50323),f214(x50321)) % 192.26/192.34 [5123]~P126(x51233)+E(x51231,x51232)+E(x51232,f2(x51233))+~E(f295(f295(f256(x51233),x51231),x51232),f81(x51233)) % 192.26/192.34 [5141]~P139(x51412)+E(x51411,f2(x51412))+E(x51413,f2(x51412))+~E(f295(f295(f84(x51412),x51413),x51411),f2(x51412)) % 192.26/192.34 [5142]~P149(x51422)+E(x51421,f2(x51422))+E(x51423,f2(x51422))+~E(f295(f295(f84(x51422),x51423),x51421),f2(x51422)) % 192.26/192.34 [5523]~P125(x55233)+E(x55231,x55232)+E(x55231,f295(f82(x55233),x55232))+~E(f295(f295(f84(x55233),x55231),x55231),f295(f295(f84(x55233),x55232),x55232)) % 192.26/192.34 [5561]~P102(x55611)+E(f295(f82(x55611),x55612),x55613)+~E(f295(f295(f117(x55611),x55612),x55613),f214(x55611))+~E(f295(f295(f108(x55611),x55612),x55613),f176(x55611)) % 192.26/192.34 [5640]~P119(x56403)+E(x56401,x56402)+P1(f295(f295(f208(x56403),x56402),x56401))+P1(f295(f295(f208(x56403),x56401),x56402)) % 192.26/192.34 [5641]~P114(x56413)+E(x56411,x56412)+P1(f295(f295(f208(x56413),x56412),x56411))+P1(f295(f295(f208(x56413),x56411),x56412)) % 192.26/192.34 [5642]~E(x56422,x56423)+~P114(x56421)+P1(f295(f295(f208(x56421),x56422),x56423))+P1(f295(f295(f207(x56421),x56422),x56423)) % 192.26/192.34 [5896]~P116(x58963)+E(x58961,x58962)+~P1(f295(f295(f207(x58963),x58962),x58961))+P1(f295(f295(f208(x58963),x58962),x58961)) % 192.26/192.34 [5898]~P114(x58983)+E(x58981,x58982)+~P1(f295(f295(f207(x58983),x58981),x58982))+P1(f295(f295(f208(x58983),x58981),x58982)) % 192.26/192.34 [5904]~P116(x59043)+E(x59041,x59042)+~P1(f295(f295(f207(x59043),x59041),x59042))+P1(f295(f295(f208(x59043),x59041),x59042)) % 192.26/192.34 [6008]P152(x60081,x60082,x60083)+~P1(f295(x60081,x60083))+P1(f295(f295(f208(a1),x60082),f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x60082)) % 192.26/192.34 [6056]P153(x60561,x60562,x60563)+~P1(f295(x60561,f2(a1)))+P1(f295(f295(f208(a1),x60562),f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x60562)) % 192.26/192.34 [6060]~P99(x60601)+E(f295(f295(f117(x60601),x60602),f11(x60601,x60603)),x60602)+~P1(f295(f62(x60601),x60603))+~P1(f295(f295(f297(x60601),x60602),x60603)) % 192.26/192.34 [6061]~P99(x60611)+E(f295(f295(f108(x60611),x60612),f10(x60611,x60613)),x60612)+~P1(f295(f62(x60611),x60613))+~P1(f295(f295(f297(x60611),x60612),x60613)) % 192.26/192.34 [6097]~P99(x60971)+E(f295(f295(f117(x60971),x60972),f10(x60971,x60973)),f10(x60971,x60973))+~P1(f295(f62(x60971),x60973))+~P1(f295(f295(f297(x60971),x60972),x60973)) % 192.26/192.34 [6098]~P99(x60981)+E(f295(f295(f108(x60981),x60982),f11(x60981,x60983)),f11(x60981,x60983))+~P1(f295(f62(x60981),x60983))+~P1(f295(f295(f297(x60981),x60982),x60983)) % 192.26/192.34 [6099]~P114(x60991)+E(f295(f295(f205(x60991),x60992),f14(x60991,x60993)),f14(x60991,x60993))+~P1(f295(f62(x60991),x60993))+~P1(f295(f295(f297(x60991),x60992),x60993)) % 192.26/192.34 [6100]~P114(x61001)+E(f295(f295(f206(x61001),x61002),f15(x61001,x61003)),f15(x61001,x61003))+~P1(f295(f62(x61001),x61003))+~P1(f295(f295(f297(x61001),x61002),x61003)) % 192.26/192.34 [6143]E(x61431,x61432)+~P116(x61433)+~P1(f295(f295(f207(x61433),x61432),x61431))+~P1(f295(f295(f207(x61433),x61431),x61432)) % 192.26/192.34 [6280]~P112(x62801)+P1(f295(f295(f208(x62801),x62803),x62802))+~P1(f295(f295(f207(x62801),x62803),x62802))+P1(f295(f295(f207(x62801),x62802),x62803)) % 192.26/192.34 [6303]~P114(x63031)+~P1(f295(f62(x63031),x63033))+P1(f295(f295(f207(x63031),x63032),f15(x63031,x63033)))+~P1(f295(f295(f297(x63031),x63032),x63033)) % 192.26/192.34 [6348]~P114(x63481)+E(f295(f295(f205(x63481),x63482),f13(x63481,f206(x63481),x63483)),x63482)+~P1(f295(f62(x63481),x63483))+~P1(f295(f295(f297(x63481),x63482),x63483)) % 192.26/192.34 [6349]~P114(x63491)+E(f295(f295(f206(x63491),x63492),f12(x63491,f205(x63491),x63493)),x63492)+~P1(f295(f62(x63491),x63493))+~P1(f295(f295(f297(x63491),x63492),x63493)) % 192.26/192.34 [6489]E(x64891,x64892)+~E(f295(f295(f23(a902),x64891),x64893),f295(f295(f23(a902),x64892),x64893))+~P1(f295(f295(f207(a902),x64893),x64891))+~P1(f295(f295(f207(a902),x64893),x64892)) % 192.26/192.34 [6515]~P114(x65151)+~P1(f295(f62(x65151),x65152))+~P1(f295(f295(f297(x65151),x65153),x65152))+P1(f295(f295(f207(x65151),f14(x65151,x65152)),x65153)) % 192.26/192.34 [6581]P153(x65812,x65811,x65813)+E(x65811,f2(a1))+P1(f295(f295(f208(a1),x65811),f839(x65813,x65811,x65812)))+P1(f295(f295(f208(a1),f2(a1)),x65811)) % 192.26/192.34 [6582]P152(x65822,x65821,x65823)+E(x65821,f2(a1))+P1(f295(f295(f208(a1),x65821),f847(x65823,x65821,x65822)))+P1(f295(f295(f208(a1),f2(a1)),x65821)) % 192.26/192.34 [6583]~P114(x65831)+E(f295(f295(f205(x65831),x65832),f12(x65831,f205(x65831),x65833)),f12(x65831,f205(x65831),x65833))+~P1(f295(f62(x65831),x65833))+~P1(f295(f295(f297(x65831),x65832),x65833)) % 192.26/192.34 [6584]~P114(x65841)+E(f295(f295(f206(x65841),x65842),f13(x65841,f206(x65841),x65843)),f13(x65841,f206(x65841),x65843))+~P1(f295(f62(x65841),x65843))+~P1(f295(f295(f297(x65841),x65842),x65843)) % 192.26/192.34 [6590]~P1(f295(x65901,x65902))+P1(f295(x65901,f575(x65902,x65901,x65903)))+P1(f295(x65901,f2(a902)))+~P1(f295(f295(f208(a902),x65902),x65903)) % 192.26/192.34 [6645]~P1(f295(x66451,x66452))+~P1(f295(f62(x66453),x66452))+P1(f295(x66451,f392(x66451,x66452,x66453)))+P1(f295(x66451,f176(f911(x66453,a897)))) % 192.26/192.34 [6658]~P119(x66581)+~P104(x66581)+P1(f295(f295(f207(x66581),f295(f110(x66581),x66582)),f295(f110(x66581),x66583)))+~P1(f295(f295(f207(a1),x66582),x66583)) % 192.26/192.34 [6659]~P119(x66591)+~P104(x66591)+P1(f295(f295(f208(x66591),f295(f110(x66591),x66592)),f295(f110(x66591),x66593)))+~P1(f295(f295(f208(a1),x66592),x66593)) % 192.26/192.34 [6662]~P1(f295(x66621,x66623))+~P1(f295(f62(x66622),x66623))+P1(f295(f62(x66622),f392(x66621,x66623,x66622)))+P1(f295(x66621,f176(f911(x66622,a897)))) % 192.26/192.34 [6694]P152(x66941,x66942,x66943)+~P1(f295(x66941,x66943))+P1(f295(f295(f208(a1),x66942),f847(x66943,x66942,x66941)))+P1(f295(f295(f208(a1),f2(a1)),x66942)) % 192.26/192.34 [6730]P153(x67301,x67302,x67303)+P1(f295(f295(f208(a1),x67302),f839(x67303,x67302,x67301)))+~P1(f295(x67301,f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x67302)) % 192.26/192.34 [6760]~P113(x67601)+~P105(x67601)+E(f295(f295(f205(x67601),f295(f110(x67601),x67602)),f295(f110(x67601),x67603)),f295(f110(x67601),x67603))+P1(f295(f295(f207(x67601),f295(f110(x67601),x67602)),f295(f110(x67601),x67603))) % 192.26/192.34 [6761]~P113(x67611)+~P105(x67611)+E(f295(f295(f206(x67611),f295(f110(x67611),x67612)),f295(f110(x67611),x67613)),f295(f110(x67611),x67612))+P1(f295(f295(f207(x67611),f295(f110(x67611),x67612)),f295(f110(x67611),x67613))) % 192.26/192.34 [6819]P153(x68192,x68191,x68193)+E(x68191,f2(a1))+~P1(f295(x68192,f846(x68193,x68191,x68192)))+P1(f295(f295(f208(a1),f2(a1)),x68191)) % 192.26/192.34 [6820]P152(x68202,x68201,x68203)+E(x68201,f2(a1))+~P1(f295(x68202,f847(x68203,x68201,x68202)))+P1(f295(f295(f208(a1),f2(a1)),x68201)) % 192.26/192.34 [6902]P152(x69021,x69022,x69023)+~P1(f295(x69021,x69023))+~P1(f295(x69021,f847(x69023,x69022,x69021)))+P1(f295(f295(f208(a1),f2(a1)),x69022)) % 192.26/192.34 [6932]P153(x69321,x69322,x69323)+~P1(f295(x69321,f846(x69323,x69322,x69321)))+~P1(f295(x69321,f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x69322)) % 192.26/192.34 [7037]~P104(x70373)+~P119(x70373)+~P1(f295(f295(f207(x70373),f295(f110(x70373),x70371)),f295(f110(x70373),x70372)))+P1(f295(f295(f207(a1),x70371),x70372)) % 192.26/192.34 [7038]~P104(x70383)+~P119(x70383)+~P1(f295(f295(f208(x70383),f295(f110(x70383),x70381)),f295(f110(x70383),x70382)))+P1(f295(f295(f208(a1),x70381),x70382)) % 192.26/192.34 [7067]~P114(x70671)+~P12(x70671,x70673)+P12(x70671,f295(f295(f140(x70671),x70672),x70673))+~P1(f295(f295(f207(x70671),x70672),f702(x70673,x70672,x70671))) % 192.26/192.34 [7068]~P114(x70681)+~P12(x70681,x70683)+P12(x70681,f295(f295(f140(x70681),x70682),x70683))+~P1(f295(f295(f207(x70681),x70682),f703(x70683,x70682,x70681))) % 192.26/192.34 [7069]~P114(x70691)+~P12(x70691,x70693)+P12(x70691,f295(f295(f140(x70691),x70692),x70693))+~P1(f295(f295(f207(x70691),x70692),f781(x70692,x70693,x70691))) % 192.26/192.34 [7153]P153(x71532,x71531,x71533)+E(x71531,f2(a1))+P1(f295(f295(f208(a1),x71531),f2(a1)))+P1(f295(f295(f208(a1),f840(x71533,x71531,x71532)),x71531)) % 192.26/192.34 [7154]P152(x71542,x71541,x71543)+E(x71541,f2(a1))+P1(f295(f295(f208(a1),x71541),f2(a1)))+P1(f295(f295(f208(a1),f848(x71543,x71541,x71542)),x71541)) % 192.26/192.34 [7191]P153(x71912,x71911,x71913)+E(x71911,f2(a1))+P1(f295(f295(f207(a1),f839(x71913,x71911,x71912)),f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x71911)) % 192.26/192.34 [7192]P152(x71922,x71921,x71923)+E(x71921,f2(a1))+P1(f295(f295(f207(a1),f847(x71923,x71921,x71922)),f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x71921)) % 192.26/192.34 [7218]~P114(x72181)+~P12(x72181,x72183)+E(f295(f295(f137(x72181,x72181,f5(x72181)),x72182),f158(x72181,x72182,x72183)),x72183)+~P1(f295(f295(f297(x72181),x72182),f295(f160(x72181),x72183))) % 192.26/192.34 [7265]P152(x72651,x72652,x72653)+~P1(f295(x72651,x72653))+P1(f295(f295(f208(a1),x72652),f2(a1)))+P1(f295(f295(f208(a1),f848(x72653,x72652,x72651)),x72652)) % 192.26/192.34 [7271]~P113(x72711)+~P105(x72711)+E(f295(f295(f205(x72711),f295(f110(x72711),x72712)),f295(f110(x72711),x72713)),f295(f110(x72711),x72712))+~P1(f295(f295(f207(x72711),f295(f110(x72711),x72712)),f295(f110(x72711),x72713))) % 192.26/192.34 [7272]~P113(x72721)+~P105(x72721)+E(f295(f295(f206(x72721),f295(f110(x72721),x72722)),f295(f110(x72721),x72723)),f295(f110(x72721),x72723))+~P1(f295(f295(f207(x72721),f295(f110(x72721),x72722)),f295(f110(x72721),x72723))) % 192.26/192.34 [7286]P153(x72861,x72862,x72863)+~P1(f295(x72861,f2(a1)))+P1(f295(f295(f208(a1),x72862),f2(a1)))+P1(f295(f295(f208(a1),f840(x72863,x72862,x72861)),x72862)) % 192.26/192.34 [7295]P152(x72951,x72952,x72953)+~P1(f295(x72951,x72953))+P1(f295(f295(f207(a1),f847(x72953,x72952,x72951)),f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x72952)) % 192.26/192.34 [7318]P153(x73181,x73182,x73183)+~P1(f295(x73181,f2(a1)))+P1(f295(f295(f207(a1),f839(x73183,x73182,x73181)),f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x73182)) % 192.26/192.34 [7347]~P1(f295(x73471,x73472))+P1(f295(x73471,f2(a902)))+~P1(f295(f295(f208(a902),x73472),x73473))+P1(f295(f295(f208(a902),f575(x73472,x73471,x73473)),x73473)) % 192.26/192.34 [7364]~P114(x73641)+~P12(x73641,x73643)+P12(x73641,f295(f295(f140(x73641),x73642),x73643))+P1(f295(f295(f297(x73641),f702(x73643,x73642,x73641)),f295(f160(x73641),x73643))) % 192.26/192.34 [7365]~P114(x73651)+~P12(x73651,x73653)+P12(x73651,f295(f295(f140(x73651),x73652),x73653))+P1(f295(f295(f297(x73651),f703(x73653,x73652,x73651)),f295(f160(x73651),x73653))) % 192.26/192.34 [7366]~P114(x73661)+~P12(x73661,x73663)+P12(x73661,f295(f295(f140(x73661),x73662),x73663))+P1(f295(f295(f297(x73661),f781(x73662,x73663,x73661)),f295(f160(x73661),x73663))) % 192.26/192.34 [7478]~P6(x74781)+~P114(x74781)+~P1(f295(f295(f208(x74781),x74783),f41(x74781,x74782)))+P1(f295(f295(f297(x74781),f334(x74782,x74783,x74781)),x74782)) % 192.26/192.34 [7639]~P6(x76391)+~P114(x76391)+~P1(f295(f295(f208(x76391),f42(x76391,x76393)),x76392))+P1(f295(f295(f297(x76391),f349(x76392,x76393,x76391)),x76393)) % 192.26/192.34 [7640]~P6(x76401)+~P114(x76401)+~P1(f295(f295(f208(x76401),f42(x76401,x76403)),x76402))+P1(f295(f295(f208(x76401),f349(x76402,x76403,x76401)),x76402)) % 192.26/192.34 [7649]P153(x76492,x76491,x76493)+E(x76491,f2(a1))+P1(f295(f295(f208(a1),x76491),f839(x76493,x76491,x76492)))+P1(f295(f295(f208(a1),f840(x76493,x76491,x76492)),x76491)) % 192.26/192.34 [7650]P152(x76502,x76501,x76503)+E(x76501,f2(a1))+P1(f295(f295(f208(a1),x76501),f847(x76503,x76501,x76502)))+P1(f295(f295(f208(a1),f848(x76503,x76501,x76502)),x76501)) % 192.26/192.34 [7738]P153(x77383,x77381,x77382)+E(x77381,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x77381),f846(x77382,x77381,x77383))),f839(x77382,x77381,x77383)),x77382)+P1(f295(f295(f208(a1),f2(a1)),x77381)) % 192.26/192.34 [7739]P152(x77393,x77391,x77392)+E(x77391,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x77391),f850(x77392,x77391,x77393))),f847(x77392,x77391,x77393)),x77392)+P1(f295(f295(f208(a1),f2(a1)),x77391)) % 192.26/192.34 [7741]~P133(x77411)+~P1(f295(f295(f207(x77411),x77413),f2(x77411)))+P1(f295(f295(f207(x77411),f295(f295(f84(x77411),x77412),x77413)),f2(x77411)))+~P1(f295(f295(f207(x77411),f2(x77411)),x77412)) % 192.26/192.34 [7742]~P133(x77421)+~P1(f295(f295(f207(x77421),x77422),f2(x77421)))+P1(f295(f295(f207(x77421),f295(f295(f84(x77421),x77422),x77423)),f2(x77421)))+~P1(f295(f295(f207(x77421),f2(x77421)),x77423)) % 192.26/192.34 [7744]~P140(x77441)+~P1(f295(f295(f207(x77441),x77443),f2(x77441)))+P1(f295(f295(f207(x77441),f295(f295(f84(x77441),x77442),x77443)),f2(x77441)))+~P1(f295(f295(f207(x77441),f2(x77441)),x77442)) % 192.26/192.34 [7746]~P140(x77461)+~P1(f295(f295(f207(x77461),x77462),f2(x77461)))+P1(f295(f295(f207(x77461),f295(f295(f84(x77461),x77462),x77463)),f2(x77461)))+~P1(f295(f295(f207(x77461),f2(x77461)),x77463)) % 192.26/192.34 [7747]~P74(x77471)+~P1(f295(f295(f207(x77471),x77473),f2(x77471)))+P1(f295(f295(f207(x77471),f295(f295(f256(x77471),x77472),x77473)),f2(x77471)))+~P1(f295(f295(f207(x77471),f2(x77471)),x77472)) % 192.26/192.34 [7748]~P74(x77481)+~P1(f295(f295(f207(x77481),x77482),f2(x77481)))+P1(f295(f295(f207(x77481),f295(f295(f256(x77481),x77482),x77483)),f2(x77481)))+~P1(f295(f295(f207(x77481),f2(x77481)),x77483)) % 192.26/192.34 [7749]~P75(x77491)+~P1(f295(f295(f207(x77491),x77492),f2(x77491)))+P1(f295(f295(f207(x77491),f295(f295(f256(x77491),x77492),x77493)),f2(x77491)))+~P1(f295(f295(f208(x77491),f2(x77491)),x77493)) % 192.26/192.34 [7750]~P75(x77501)+~P1(f295(f295(f208(x77501),x77503),f2(x77501)))+P1(f295(f295(f207(x77501),f295(f295(f256(x77501),x77502),x77503)),f2(x77501)))+~P1(f295(f295(f207(x77501),f2(x77501)),x77502)) % 192.26/192.34 [7752]~P135(x77521)+~P1(f295(f295(f208(x77521),x77523),f2(x77521)))+P1(f295(f295(f208(x77521),f295(f295(f84(x77521),x77522),x77523)),f2(x77521)))+~P1(f295(f295(f208(x77521),f2(x77521)),x77522)) % 192.26/192.34 [7753]~P135(x77531)+~P1(f295(f295(f208(x77531),x77532),f2(x77531)))+P1(f295(f295(f208(x77531),f295(f295(f84(x77531),x77532),x77533)),f2(x77531)))+~P1(f295(f295(f208(x77531),f2(x77531)),x77533)) % 192.26/192.34 [7754]~P74(x77541)+~P1(f295(f295(f208(x77541),x77543),f2(x77541)))+P1(f295(f295(f208(x77541),f295(f295(f256(x77541),x77542),x77543)),f2(x77541)))+~P1(f295(f295(f208(x77541),f2(x77541)),x77542)) % 192.26/192.34 [7755]~P74(x77551)+~P1(f295(f295(f208(x77551),x77552),f2(x77551)))+P1(f295(f295(f208(x77551),f295(f295(f256(x77551),x77552),x77553)),f2(x77551)))+~P1(f295(f295(f208(x77551),f2(x77551)),x77553)) % 192.26/192.34 [7756]~P75(x77561)+~P1(f295(f295(f208(x77561),x77563),f2(x77561)))+P1(f295(f295(f208(x77561),f295(f295(f256(x77561),x77562),x77563)),f2(x77561)))+~P1(f295(f295(f208(x77561),f2(x77561)),x77562)) % 192.26/192.34 [7757]~P75(x77571)+~P1(f295(f295(f208(x77571),x77572),f2(x77571)))+P1(f295(f295(f208(x77571),f295(f295(f256(x77571),x77572),x77573)),f2(x77571)))+~P1(f295(f295(f208(x77571),f2(x77571)),x77573)) % 192.26/192.34 [7772]P152(x77721,x77722,x77723)+~P1(f295(x77721,x77723))+P1(f295(f295(f208(a1),x77722),f847(x77723,x77722,x77721)))+P1(f295(f295(f208(a1),f848(x77723,x77722,x77721)),x77722)) % 192.26/192.34 [7786]P153(x77861,x77862,x77863)+P1(f295(f295(f208(a1),x77862),f839(x77863,x77862,x77861)))+~P1(f295(x77861,f2(a1)))+P1(f295(f295(f208(a1),f840(x77863,x77862,x77861)),x77862)) % 192.26/192.34 [7835]P153(x78352,x78351,x78353)+E(x78351,f2(a1))+~P1(f295(x78352,f846(x78353,x78351,x78352)))+P1(f295(f295(f208(a1),f840(x78353,x78351,x78352)),x78351)) % 192.26/192.34 [7836]P152(x78362,x78361,x78363)+E(x78361,f2(a1))+~P1(f295(x78362,f847(x78363,x78361,x78362)))+P1(f295(f295(f208(a1),f848(x78363,x78361,x78362)),x78361)) % 192.26/192.34 [7850]P152(x78503,x78501,x78502)+~P1(f295(x78503,x78502))+E(f295(f295(f83(a1),f295(f295(f84(a1),x78501),f850(x78502,x78501,x78503))),f847(x78502,x78501,x78503)),x78502)+P1(f295(f295(f208(a1),f2(a1)),x78501)) % 192.26/192.34 [7866]P153(x78663,x78661,x78662)+E(f295(f295(f83(a1),f295(f295(f84(a1),x78661),f846(x78662,x78661,x78663))),f839(x78662,x78661,x78663)),x78662)+~P1(f295(x78663,f2(a1)))+P1(f295(f295(f208(a1),f2(a1)),x78661)) % 192.26/192.34 [7892]~P1(f295(x78921,x78923))+~P1(f295(f62(x78922),x78923))+P1(f295(f295(f297(x78922),f393(x78921,x78923,x78922)),f392(x78921,x78923,x78922)))+P1(f295(x78921,f176(f911(x78922,a897)))) % 192.26/192.34 [7903]P152(x79031,x79032,x79033)+~P1(f295(x79031,x79033))+~P1(f295(x79031,f847(x79033,x79032,x79031)))+P1(f295(f295(f208(a1),f848(x79033,x79032,x79031)),x79032)) % 192.26/192.34 [7909]P153(x79091,x79092,x79093)+~P1(f295(x79091,f846(x79093,x79092,x79091)))+~P1(f295(x79091,f2(a1)))+P1(f295(f295(f208(a1),f840(x79093,x79092,x79091)),x79092)) % 192.26/192.34 [8012]~P133(x80121)+~P1(f295(f295(f207(x80121),f295(f295(f84(x80121),x80123),x80122)),f2(x80121)))+P1(f295(f295(f207(x80121),x80122),f2(x80121)))+P1(f295(f295(f207(x80121),f2(x80121)),x80122)) % 192.26/192.34 [8013]~P133(x80131)+~P1(f295(f295(f207(x80131),f295(f295(f84(x80131),x80132),x80133)),f2(x80131)))+P1(f295(f295(f207(x80131),x80132),f2(x80131)))+P1(f295(f295(f207(x80131),f2(x80131)),x80132)) % 192.26/192.34 [8014]~P74(x80141)+~P1(f295(f295(f207(x80141),f295(f295(f256(x80141),x80143),x80142)),f2(x80141)))+P1(f295(f295(f207(x80141),x80142),f2(x80141)))+P1(f295(f295(f207(x80141),f2(x80141)),x80142)) % 192.26/192.34 [8015]~P74(x80151)+~P1(f295(f295(f207(x80151),f295(f295(f256(x80151),x80152),x80153)),f2(x80151)))+P1(f295(f295(f207(x80151),x80152),f2(x80151)))+P1(f295(f295(f207(x80151),f2(x80151)),x80152)) % 192.26/192.34 [8016]~P74(x80161)+~P1(f295(f295(f208(x80161),f295(f295(f256(x80161),x80163),x80162)),f2(x80161)))+P1(f295(f295(f208(x80161),x80162),f2(x80161)))+P1(f295(f295(f208(x80161),f2(x80161)),x80162)) % 192.26/192.34 [8017]~P74(x80171)+~P1(f295(f295(f208(x80171),f295(f295(f256(x80171),x80172),x80173)),f2(x80171)))+P1(f295(f295(f208(x80171),x80172),f2(x80171)))+P1(f295(f295(f208(x80171),f2(x80171)),x80172)) % 192.26/192.34 [8041]~P133(x80411)+~P1(f295(f295(f207(x80411),f295(f295(f84(x80411),x80412),x80413)),f2(x80411)))+P1(f295(f295(f207(x80411),f2(x80411)),x80412))+P1(f295(f295(f207(x80411),f2(x80411)),x80413)) % 192.26/192.34 [8042]~P74(x80421)+~P1(f295(f295(f207(x80421),f295(f295(f256(x80421),x80422),x80423)),f2(x80421)))+P1(f295(f295(f207(x80421),f2(x80421)),x80422))+P1(f295(f295(f207(x80421),f2(x80421)),x80423)) % 192.26/192.34 [8043]~P74(x80431)+~P1(f295(f295(f208(x80431),f295(f295(f256(x80431),x80432),x80433)),f2(x80431)))+P1(f295(f295(f208(x80431),f2(x80431)),x80432))+P1(f295(f295(f208(x80431),f2(x80431)),x80433)) % 192.26/192.34 [8065]P153(x80652,x80651,x80653)+E(x80651,f2(a1))+P1(f295(f295(f207(a1),f839(x80653,x80651,x80652)),f2(a1)))+P1(f295(f295(f208(a1),f840(x80653,x80651,x80652)),x80651)) % 192.26/192.34 [8066]P152(x80662,x80661,x80663)+E(x80661,f2(a1))+P1(f295(f295(f207(a1),f847(x80663,x80661,x80662)),f2(a1)))+P1(f295(f295(f208(a1),f848(x80663,x80661,x80662)),x80661)) % 192.26/192.34 [8073]~P131(x80731)+~P1(f295(f295(f208(x80731),x80732),f81(x80731)))+P1(f295(f295(f208(x80731),f295(f295(f218(x80731),x80732),f295(a119,x80733))),f81(x80731)))+~P1(f295(f295(f208(x80731),f2(x80731)),x80732)) % 192.26/192.34 [8127]~P114(x81271)+~E(x81273,f120(x81271))+~P12(x81271,f295(f157(x81271),x81273))+E(f295(f131(x81271,x81271,f295(f7(x81271,x81271,x81271),f206(x81271)),x81272),f295(f157(x81271),x81273)),x81272) % 192.26/192.34 [8130]P152(x81301,x81302,x81303)+~P1(f295(x81301,x81303))+P1(f295(f295(f207(a1),f847(x81303,x81302,x81301)),f2(a1)))+P1(f295(f295(f208(a1),f848(x81303,x81302,x81301)),x81302)) % 192.26/192.34 [8140]P153(x81401,x81402,x81403)+~P1(f295(x81401,f2(a1)))+P1(f295(f295(f207(a1),f839(x81403,x81402,x81401)),f2(a1)))+P1(f295(f295(f208(a1),f840(x81403,x81402,x81401)),x81402)) % 192.26/192.34 [8361]P153(x83613,x83611,x83612)+E(x83611,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x83611),f846(x83612,x83611,x83613))),f839(x83612,x83611,x83613)),x83612)+P1(f295(f295(f208(a1),f840(x83612,x83611,x83613)),x83611)) % 192.26/192.34 [8362]P152(x83623,x83621,x83622)+E(x83621,f2(a1))+E(f295(f295(f83(a1),f295(f295(f84(a1),x83621),f850(x83622,x83621,x83623))),f847(x83622,x83621,x83623)),x83622)+P1(f295(f295(f208(a1),f848(x83622,x83621,x83623)),x83621)) % 192.26/192.34 [8399]P152(x83993,x83991,x83992)+~P1(f295(x83993,x83992))+E(f295(f295(f83(a1),f295(f295(f84(a1),x83991),f850(x83992,x83991,x83993))),f847(x83992,x83991,x83993)),x83992)+P1(f295(f295(f208(a1),f848(x83992,x83991,x83993)),x83991)) % 192.26/192.34 [8400]~P77(x84001)+~P83(x84001)+~P40(x84003)+E(f295(f295(f6(a902,x84001),f295(f295(f8(a1,x84001,a902),x84002),f107(a1))),f295(f276(a1,a902,a111),x84003)),f295(f295(f6(a1,x84001),x84002),x84003)) % 192.26/192.34 [8401]~P77(x84011)+~P83(x84011)+~P40(x84013)+E(f295(f295(f9(a902,x84011),f295(f295(f8(a1,x84011,a902),x84012),f107(a1))),f295(f276(a1,a902,a111),x84013)),f295(f295(f9(a1,x84011),x84012),x84013)) % 192.26/192.34 [8410]P153(x84103,x84101,x84102)+E(f295(f295(f83(a1),f295(f295(f84(a1),x84101),f846(x84102,x84101,x84103))),f839(x84102,x84101,x84103)),x84102)+~P1(f295(x84103,f2(a1)))+P1(f295(f295(f208(a1),f840(x84102,x84101,x84103)),x84101)) % 192.26/192.34 [8433]~E(x84332,f2(a902))+~E(f295(f216(a902,a902),x84333),f2(a902))+~E(x84331,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),x84333)),x84332)),f295(f227(a902,a902),x84333)))+P1(f295(f49(x84331,x84332),x84333)) % 192.26/192.34 [9370]P1(f295(f295(f207(a1),x93701),f2(a1)))+~P1(f295(f295(f208(a1),f295(f295(f83(a1),f295(f295(f84(a1),x93703),x93701)),x93702)),f2(a1)))+~P1(f295(f295(f207(a1),f2(a1)),x93702))+~P1(f295(f295(f208(a1),f2(a1)),x93703)) % 192.26/192.34 [5966]~P99(x59662)+E(x59661,f176(f911(x59662,a897)))+~P1(f295(f62(x59662),x59661))+E(f10(x59662,f295(f295(f275(x59662),x59663),x59661)),f295(f295(f117(x59662),x59663),f10(x59662,x59661))) % 192.26/192.34 [5967]~P99(x59672)+E(x59671,f176(f911(x59672,a897)))+~P1(f295(f62(x59672),x59671))+E(f11(x59672,f295(f295(f275(x59672),x59673),x59671)),f295(f295(f108(x59672),x59673),f11(x59672,x59671))) % 192.26/192.34 [5968]~P114(x59682)+E(x59681,f176(f911(x59682,a897)))+~P1(f295(f62(x59682),x59681))+E(f14(x59682,f295(f295(f275(x59682),x59683),x59681)),f295(f295(f205(x59682),x59683),f14(x59682,x59681))) % 192.26/192.34 [5969]~P114(x59692)+E(x59691,f176(f911(x59692,a897)))+~P1(f295(f62(x59692),x59691))+E(f15(x59692,f295(f295(f275(x59692),x59693),x59691)),f295(f295(f206(x59692),x59693),f15(x59692,x59691))) % 192.26/192.34 [6278]~P133(x62781)+~E(x62783,f2(x62781))+~E(x62782,f2(x62781))+E(f295(f295(f83(x62781),f295(f295(f84(x62781),x62782),x62782)),f295(f295(f84(x62781),x62783),x62783)),f2(x62781)) % 192.26/192.34 [6341]~P106(x63412)+E(x63411,f176(f911(x63412,a897)))+~P1(f295(f62(x63412),x63411))+E(f295(f64(x63412,f84(x63412)),f295(f295(f275(x63412),x63413),x63411)),f295(f295(f84(x63412),x63413),f295(f64(x63412,f84(x63412)),x63411))) % 192.26/192.34 [6466]~P114(x64662)+E(x64661,f176(f911(x64662,a897)))+~P1(f295(f62(x64662),x64661))+E(f12(x64662,f205(x64662),f295(f295(f275(x64662),x64663),x64661)),f295(f295(f205(x64662),x64663),f12(x64662,f205(x64662),x64661))) % 192.26/192.34 [6467]~P114(x64672)+E(x64671,f176(f911(x64672,a897)))+~P1(f295(f62(x64672),x64671))+E(f13(x64672,f206(x64672),f295(f295(f275(x64672),x64673),x64671)),f295(f295(f206(x64672),x64673),f13(x64672,f206(x64672),x64671))) % 192.26/192.34 [6966]~P81(x69661)+~P1(f295(f62(x69661),x69663))+E(f295(f64(x69661,f84(x69661)),f295(f295(f275(x69661),x69662),x69663)),f295(f295(f65(x69661,x69661,f84(x69661)),x69662),x69663))+P1(f295(f295(f297(x69661),x69662),x69663)) % 192.26/192.34 [7042]~E(f295(f295(f83(a1),x70422),f295(f295(f84(a1),x70423),x70421)),x70423)+~P1(f295(f295(f208(a1),f2(a1)),x70423))+P1(f295(f295(f207(a1),f81(a1)),x70421))+~P1(f295(f295(f208(a1),x70422),x70423)) % 192.26/192.34 [7074]~E(f295(f295(f83(a1),x70742),f295(f295(f84(a1),x70743),x70741)),x70743)+P1(f295(f295(f207(a1),x70741),f81(a1)))+~P1(f295(f295(f207(a1),f2(a1)),x70742))+~P1(f295(f295(f208(a1),f2(a1)),x70743)) % 192.26/192.34 [7090]E(x70901,f2(a902))+~P1(f295(f49(x70903,x70901),x70902))+~P1(f295(f295(f208(a902),f2(a902)),x70901))+P1(f295(f295(f208(a902),f295(f227(a902,a902),x70902)),x70901)) % 192.26/192.34 [7121]~P144(x71211)+~P1(f295(f295(f207(x71211),x71212),f2(x71211)))+~P1(f295(f295(f207(x71211),x71213),f2(x71211)))+E(f295(f295(f84(x71211),f295(f77(x71211),x71212)),f295(f77(x71211),x71213)),f295(f77(x71211),f295(f295(f84(x71211),x71212),x71213))) % 192.26/192.34 [7168]~P144(x71681)+~P1(f295(f295(f207(x71681),x71682),f2(x71681)))+E(f295(f295(f84(x71681),f295(f77(x71681),x71682)),f295(f77(x71681),x71683)),f295(f77(x71681),f295(f295(f84(x71681),x71682),x71683)))+~P1(f295(f295(f207(x71681),f2(x71681)),x71683)) % 192.26/192.34 [7169]~P144(x71691)+~P1(f295(f295(f207(x71691),x71693),f2(x71691)))+E(f295(f295(f84(x71691),f295(f77(x71691),x71692)),f295(f77(x71691),x71693)),f295(f77(x71691),f295(f295(f84(x71691),x71692),x71693)))+~P1(f295(f295(f207(x71691),f2(x71691)),x71692)) % 192.26/192.34 [7226]~P144(x72261)+E(f295(f295(f84(x72261),f295(f77(x72261),x72262)),f295(f77(x72261),x72263)),f295(f77(x72261),f295(f295(f84(x72261),x72262),x72263)))+~P1(f295(f295(f207(x72261),f2(x72261)),x72262))+~P1(f295(f295(f207(x72261),f2(x72261)),x72263)) % 192.26/192.34 [7243]~P133(x72431)+~P1(f295(f295(f207(x72431),x72433),f2(x72431)))+~P1(f295(f295(f207(x72431),x72432),f2(x72431)))+P1(f295(f295(f207(x72431),f2(x72431)),f295(f295(f84(x72431),x72432),x72433))) % 192.26/192.34 [7245]~P141(x72451)+~P1(f295(f295(f207(x72451),x72453),f2(x72451)))+~P1(f295(f295(f207(x72451),x72452),f2(x72451)))+P1(f295(f295(f207(x72451),f2(x72451)),f295(f295(f84(x72451),x72452),x72453))) % 192.26/192.34 [7246]~P74(x72461)+~P1(f295(f295(f207(x72461),x72463),f2(x72461)))+~P1(f295(f295(f207(x72461),x72462),f2(x72461)))+P1(f295(f295(f207(x72461),f2(x72461)),f295(f295(f256(x72461),x72462),x72463))) % 192.26/192.34 [7247]~P75(x72471)+~P1(f295(f295(f208(x72471),x72473),f2(x72471)))+~P1(f295(f295(f207(x72471),x72472),f2(x72471)))+P1(f295(f295(f207(x72471),f2(x72471)),f295(f295(f256(x72471),x72472),x72473))) % 192.26/192.34 [7248]~P133(x72481)+~P1(f295(f295(f208(x72481),x72483),f2(x72481)))+~P1(f295(f295(f208(x72481),x72482),f2(x72481)))+P1(f295(f295(f208(x72481),f2(x72481)),f295(f295(f84(x72481),x72482),x72483))) % 192.26/192.34 [7249]~P74(x72491)+~P1(f295(f295(f208(x72491),x72493),f2(x72491)))+~P1(f295(f295(f208(x72491),x72492),f2(x72491)))+P1(f295(f295(f208(x72491),f2(x72491)),f295(f295(f256(x72491),x72492),x72493))) % 192.26/192.34 [7250]~P75(x72501)+~P1(f295(f295(f208(x72501),x72503),f2(x72501)))+~P1(f295(f295(f208(x72501),x72502),f2(x72501)))+P1(f295(f295(f208(x72501),f2(x72501)),f295(f295(f256(x72501),x72502),x72503))) % 192.26/192.34 [7251]~P131(x72511)+~P1(f295(f295(f208(a902),f2(a902)),x72513))+~P1(f295(f295(f208(x72511),f81(x72511)),x72512))+P1(f295(f295(f208(x72511),f81(x72511)),f295(f295(f218(x72511),x72512),x72513))) % 192.26/192.34 [7349]~P133(x73491)+~P1(f295(f295(f207(x73491),f2(x73491)),x73493))+~P1(f295(f295(f207(x73491),f2(x73491)),x73492))+P1(f295(f295(f207(x73491),f2(x73491)),f295(f295(f84(x73491),x73492),x73493))) % 192.26/192.34 [7350]~P140(x73501)+~P1(f295(f295(f207(x73501),f2(x73501)),x73503))+~P1(f295(f295(f207(x73501),f2(x73501)),x73502))+P1(f295(f295(f207(x73501),f2(x73501)),f295(f295(f84(x73501),x73502),x73503))) % 192.26/192.34 [7351]~P141(x73511)+~P1(f295(f295(f207(x73511),f2(x73511)),x73513))+~P1(f295(f295(f207(x73511),f2(x73511)),x73512))+P1(f295(f295(f207(x73511),f2(x73511)),f295(f295(f84(x73511),x73512),x73513))) % 192.26/192.34 [7352]~P74(x73521)+~P1(f295(f295(f207(x73521),f2(x73521)),x73523))+~P1(f295(f295(f207(x73521),f2(x73521)),x73522))+P1(f295(f295(f207(x73521),f2(x73521)),f295(f295(f256(x73521),x73522),x73523))) % 192.26/192.34 [7353]~P75(x73531)+~P1(f295(f295(f208(x73531),f2(x73531)),x73533))+~P1(f295(f295(f207(x73531),f2(x73531)),x73532))+P1(f295(f295(f207(x73531),f2(x73531)),f295(f295(f256(x73531),x73532),x73533))) % 192.26/192.34 [7356]~P91(x73561)+~P1(f295(f295(f208(x73561),f2(x73561)),x73563))+~P1(f295(f295(f208(x73561),f2(x73561)),x73562))+P1(f295(f295(f208(x73561),f2(x73561)),f295(f295(f83(x73561),x73562),x73563))) % 192.26/192.34 [7357]~P135(x73571)+~P1(f295(f295(f208(x73571),f2(x73571)),x73573))+~P1(f295(f295(f208(x73571),f2(x73571)),x73572))+P1(f295(f295(f208(x73571),f2(x73571)),f295(f295(f84(x73571),x73572),x73573))) % 192.26/192.34 [7358]~P74(x73581)+~P1(f295(f295(f208(x73581),f2(x73581)),x73583))+~P1(f295(f295(f208(x73581),f2(x73581)),x73582))+P1(f295(f295(f208(x73581),f2(x73581)),f295(f295(f256(x73581),x73582),x73583))) % 192.26/192.34 [7359]~P75(x73591)+~P1(f295(f295(f208(x73591),f2(x73591)),x73593))+~P1(f295(f295(f208(x73591),f2(x73591)),x73592))+P1(f295(f295(f208(x73591),f2(x73591)),f295(f295(f256(x73591),x73592),x73593))) % 192.26/192.34 [7360]~P131(x73601)+~P1(f295(f295(f208(x73601),f81(x73601)),x73603))+~P1(f295(f295(f208(x73601),f81(x73601)),x73602))+P1(f295(f295(f208(x73601),f81(x73601)),f295(f295(f84(x73601),x73602),x73603))) % 192.26/192.34 [7439]~P99(x74391)+~P1(f295(f62(x74391),x74393))+E(f10(x74391,f295(f295(f275(x74391),x74392),x74393)),x74392)+~E(f295(f295(f23(f911(x74391,a897)),x74393),f295(f295(f275(x74391),x74392),f176(f911(x74391,a897)))),f176(f911(x74391,a897))) % 192.26/192.34 [7440]~P99(x74401)+~P1(f295(f62(x74401),x74403))+E(f11(x74401,f295(f295(f275(x74401),x74402),x74403)),x74402)+~E(f295(f295(f23(f911(x74401,a897)),x74403),f295(f295(f275(x74401),x74402),f176(f911(x74401,a897)))),f176(f911(x74401,a897))) % 192.26/192.34 [7441]~P114(x74411)+~P1(f295(f62(x74411),x74413))+E(f14(x74411,f295(f295(f275(x74411),x74412),x74413)),x74412)+~E(f295(f295(f23(f911(x74411,a897)),x74413),f295(f295(f275(x74411),x74412),f176(f911(x74411,a897)))),f176(f911(x74411,a897))) % 192.26/192.34 [7442]~P114(x74421)+~P1(f295(f62(x74421),x74423))+E(f15(x74421,f295(f295(f275(x74421),x74422),x74423)),x74422)+~E(f295(f295(f23(f911(x74421,a897)),x74423),f295(f295(f275(x74421),x74422),f176(f911(x74421,a897)))),f176(f911(x74421,a897))) % 192.26/192.34 [7443]~P133(x74431)+P1(f295(f295(f207(x74431),x74432),f2(x74431)))+P1(f295(f295(f207(x74431),f2(x74431)),x74433))+~P1(f295(f295(f207(x74431),f2(x74431)),f295(f295(f84(x74431),x74433),x74432))) % 192.26/192.34 [7444]~P133(x74441)+P1(f295(f295(f207(x74441),x74442),f2(x74441)))+P1(f295(f295(f207(x74441),f2(x74441)),x74443))+~P1(f295(f295(f207(x74441),f2(x74441)),f295(f295(f84(x74441),x74442),x74443))) % 192.26/192.34 [7445]~P74(x74451)+P1(f295(f295(f207(x74451),x74452),f2(x74451)))+P1(f295(f295(f207(x74451),f2(x74451)),x74453))+~P1(f295(f295(f207(x74451),f2(x74451)),f295(f295(f256(x74451),x74453),x74452))) % 192.26/192.34 [7446]~P74(x74461)+P1(f295(f295(f207(x74461),x74462),f2(x74461)))+P1(f295(f295(f207(x74461),f2(x74461)),x74463))+~P1(f295(f295(f207(x74461),f2(x74461)),f295(f295(f256(x74461),x74462),x74463))) % 192.26/192.34 [7447]~P133(x74471)+P1(f295(f295(f207(x74471),x74472),f2(x74471)))+P1(f295(f295(f207(x74471),f2(x74471)),x74472))+~P1(f295(f295(f207(x74471),f2(x74471)),f295(f295(f84(x74471),x74473),x74472))) % 192.26/192.34 [7448]~P133(x74481)+P1(f295(f295(f207(x74481),x74482),f2(x74481)))+P1(f295(f295(f207(x74481),f2(x74481)),x74482))+~P1(f295(f295(f207(x74481),f2(x74481)),f295(f295(f84(x74481),x74482),x74483))) % 192.26/192.34 [7449]~P74(x74491)+P1(f295(f295(f207(x74491),x74492),f2(x74491)))+P1(f295(f295(f207(x74491),f2(x74491)),x74492))+~P1(f295(f295(f207(x74491),f2(x74491)),f295(f295(f256(x74491),x74493),x74492))) % 192.26/192.34 [7450]~P74(x74501)+P1(f295(f295(f207(x74501),x74502),f2(x74501)))+P1(f295(f295(f207(x74501),f2(x74501)),x74502))+~P1(f295(f295(f207(x74501),f2(x74501)),f295(f295(f256(x74501),x74502),x74503))) % 192.26/192.34 [7451]~P74(x74511)+P1(f295(f295(f208(x74511),x74512),f2(x74511)))+P1(f295(f295(f208(x74511),f2(x74511)),x74513))+~P1(f295(f295(f208(x74511),f2(x74511)),f295(f295(f256(x74511),x74513),x74512))) % 192.26/192.34 [7452]~P74(x74521)+P1(f295(f295(f208(x74521),x74522),f2(x74521)))+P1(f295(f295(f208(x74521),f2(x74521)),x74523))+~P1(f295(f295(f208(x74521),f2(x74521)),f295(f295(f256(x74521),x74522),x74523))) % 192.26/192.34 [7453]~P74(x74531)+P1(f295(f295(f208(x74531),x74532),f2(x74531)))+P1(f295(f295(f208(x74531),f2(x74531)),x74532))+~P1(f295(f295(f208(x74531),f2(x74531)),f295(f295(f256(x74531),x74533),x74532))) % 192.26/192.34 [7454]~P74(x74541)+P1(f295(f295(f208(x74541),x74542),f2(x74541)))+P1(f295(f295(f208(x74541),f2(x74541)),x74542))+~P1(f295(f295(f208(x74541),f2(x74541)),f295(f295(f256(x74541),x74542),x74543))) % 192.26/192.34 [7542]~E(f295(f295(f108(f911(x75421,a897)),f295(f160(x75421),x75422)),f295(f160(x75421),x75423)),f176(f911(x75421,a897)))+~P1(f295(f126(x75421),x75423))+~P1(f295(f126(x75421),x75422))+P1(f295(f126(x75421),f295(f295(f122(x75421),x75422),x75423))) % 192.26/192.34 [7543]~P114(x75431)+~P1(f295(f62(x75431),x75433))+E(f12(x75431,f205(x75431),f295(f295(f275(x75431),x75432),x75433)),x75432)+~E(f295(f295(f23(f911(x75431,a897)),x75433),f295(f295(f275(x75431),x75432),f176(f911(x75431,a897)))),f176(f911(x75431,a897))) % 192.26/192.34 [7544]~P114(x75441)+~P1(f295(f62(x75441),x75443))+E(f13(x75441,f206(x75441),f295(f295(f275(x75441),x75442),x75443)),x75442)+~E(f295(f295(f23(f911(x75441,a897)),x75443),f295(f295(f275(x75441),x75442),f176(f911(x75441,a897)))),f176(f911(x75441,a897))) % 192.26/192.34 [7558]~P93(x75581)+~P1(f295(f295(f207(x75581),x75582),x75583))+~P1(f295(f295(f207(x75581),f295(f82(x75581),x75582)),x75583))+P1(f295(f295(f207(x75581),f295(f77(x75581),x75582)),x75583)) % 192.26/192.34 [7559]~P119(x75591)+~P1(f295(f295(f208(x75591),x75592),x75593))+~P1(f295(f295(f208(x75591),f295(f82(x75591),x75592)),x75593))+P1(f295(f295(f208(x75591),f295(f77(x75591),x75592)),x75593)) % 192.26/192.34 [7627]~P135(x76271)+P1(f295(f295(f208(x76271),f2(x76271)),x76272))+~P1(f295(f295(f208(x76271),f2(x76271)),x76273))+~P1(f295(f295(f208(x76271),f2(x76271)),f295(f295(f84(x76271),x76273),x76272))) % 192.26/192.34 [7628]~P135(x76281)+P1(f295(f295(f208(x76281),f2(x76281)),x76282))+~P1(f295(f295(f208(x76281),f2(x76281)),x76283))+~P1(f295(f295(f208(x76281),f2(x76281)),f295(f295(f84(x76281),x76282),x76283))) % 192.26/192.34 [7925]E(x79251,x79252)+~P1(f295(f62(x79253),x79251))+~P1(f295(f295(f207(a902),f295(f39(x79253),x79251)),f295(f39(x79253),x79252)))+~P1(f295(f295(f207(f911(x79253,a897)),x79252),x79251)) % 192.26/192.34 [8070]~P1(f295(f295(f208(a1),x80701),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x80702))+~P1(f295(f295(f207(a1),x80702),x80703))+P1(f295(f295(f207(a1),f295(f295(f40(a1),x80701),x80702)),f295(f295(f40(a1),x80701),x80703))) % 192.26/192.34 [8080]~P1(f295(f295(f207(a1),f2(a1)),x80801))+~P1(f295(f295(f208(a1),f2(a1)),x80803))+~P1(f295(f295(f207(a1),x80803),x80802))+P1(f295(f295(f207(a1),f295(f295(f40(a1),x80801),x80802)),f295(f295(f40(a1),x80801),x80803))) % 192.26/192.34 [8224]E(f295(x82241,f548(x82242,x82241,x82243)),x82242)+~P1(f295(f295(f207(a1),x82242),f295(x82241,x82243)))+P1(f295(f295(f208(a902),f549(x82242,x82241,x82243)),x82243))+~P1(f295(f295(f207(a1),f295(x82241,f2(a902))),x82242)) % 192.26/192.34 [8225]E(f295(x82251,f550(x82252,x82251,x82253)),x82252)+~P1(f295(f295(f207(a1),x82252),f295(x82251,x82253)))+P1(f295(f295(f208(a902),f551(x82252,x82251,x82253)),x82253))+~P1(f295(f295(f207(a1),f295(x82251,f2(a902))),x82252)) % 192.26/192.34 [8324]~P1(f295(f62(x83241),x83243))+~P1(f295(f295(f208(a902),f295(f39(x83241),x83242)),f295(f39(x83241),x83243)))+~P1(f295(f295(f207(f911(x83241,a897)),x83242),x83243))+P1(f295(f295(f208(f911(x83241,a897)),x83242),x83243)) % 192.26/192.34 [8351]E(f295(f295(f83(a1),f492(x83513,x83511,x83512)),f493(x83513,x83511,x83512)),x83511)+E(f295(f295(f23(a1),x83511),x83512),x83511)+~P1(f295(f295(f208(a1),f2(a1)),x83512))+~P1(f295(f295(f297(a1),f295(f295(f23(a1),x83511),f81(a1))),x83513)) % 192.26/192.34 [8352]E(f295(f295(f23(a1),f503(x83523,x83521,x83522)),f504(x83523,x83521,x83522)),x83521)+E(f295(f295(f83(a1),x83521),x83522),x83521)+~P1(f295(f295(f208(a1),f2(a1)),x83522))+~P1(f295(f295(f297(a1),f295(f295(f83(a1),x83521),f81(a1))),x83523)) % 192.26/192.34 [8405]~P1(f295(f295(f207(a902),x84053),x84051))+P1(f295(f295(f207(a902),x84051),x84052))+~P1(f295(f295(f207(a902),x84053),x84052))+~P1(f295(f295(f207(a902),f295(f295(f23(a902),x84051),x84053)),f295(f295(f23(a902),x84052),x84053))) % 192.26/192.34 [8406]~P1(f295(f295(f207(a902),x84063),x84061))+P1(f295(f295(f208(a902),x84061),x84062))+~P1(f295(f295(f207(a902),x84063),x84062))+~P1(f295(f295(f208(a902),f295(f295(f23(a902),x84061),x84063)),f295(f295(f23(a902),x84062),x84063))) % 192.26/192.34 [8425]~P114(x84252)+E(x84251,f120(x84252))+~P12(x84252,f295(f157(x84252),x84251))+E(f295(f131(x84252,x84252,f295(f7(x84252,x84252,x84252),f206(x84252)),x84253),f295(f157(x84252),x84251)),f295(f295(f206(x84252),f295(f295(f153(x84252),x84251),f2(a902))),x84253)) % 192.26/192.34 [8491]E(f295(f295(f23(a1),x84911),x84912),x84911)+~P1(f295(f295(f208(a1),f2(a1)),x84912))+P1(f295(f295(f297(a1),f492(x84913,x84911,x84912)),x84913))+~P1(f295(f295(f297(a1),f295(f295(f23(a1),x84911),f81(a1))),x84913)) % 192.26/192.34 [8492]E(f295(f295(f83(a1),x84921),x84922),x84921)+~P1(f295(f295(f208(a1),f2(a1)),x84922))+P1(f295(f295(f297(a1),f503(x84923,x84921,x84922)),x84923))+~P1(f295(f295(f297(a1),f295(f295(f83(a1),x84921),f81(a1))),x84923)) % 192.26/192.34 [8566]~P1(f295(f295(f207(a1),x85661),f295(x85662,x85663)))+P1(f295(f295(f208(a902),f549(x85661,x85662,x85663)),x85663))+P1(f295(f295(f207(a902),f548(x85661,x85662,x85663)),x85663))+~P1(f295(f295(f207(a1),f295(x85662,f2(a902))),x85661)) % 192.26/192.34 [8567]~P1(f295(f295(f207(a1),x85671),f295(x85672,x85673)))+P1(f295(f295(f208(a902),f551(x85671,x85672,x85673)),x85673))+P1(f295(f295(f207(a902),f550(x85671,x85672,x85673)),x85673))+~P1(f295(f295(f207(a1),f295(x85672,f2(a902))),x85671)) % 192.26/192.34 [8641]E(f295(f295(f23(a1),x86411),x86412),x86411)+~P1(f295(f295(f208(a1),f2(a1)),x86412))+P1(f295(f295(f297(a1),f493(x86413,x86411,x86412)),f269(a1,f81(a1),x86412)))+~P1(f295(f295(f297(a1),f295(f295(f23(a1),x86411),f81(a1))),x86413)) % 192.26/192.34 [8642]E(f295(f295(f83(a1),x86421),x86422),x86421)+~P1(f295(f295(f208(a1),f2(a1)),x86422))+P1(f295(f295(f297(a1),f504(x86423,x86421,x86422)),f269(a1,f81(a1),x86422)))+~P1(f295(f295(f297(a1),f295(f295(f83(a1),x86421),f81(a1))),x86423)) % 192.26/192.34 [8789]~P131(x87891)+~P1(f295(f295(f208(x87891),x87892),f81(x87891)))+~P1(f295(f295(f208(x87891),f2(x87891)),x87892))+P1(f295(f295(f208(x87891),f295(f295(f84(x87891),x87892),f295(f295(f218(x87891),x87892),x87893))),f295(f295(f218(x87891),x87892),x87893))) % 192.26/192.34 [8877]~P1(f295(x88771,x88772))+P1(f295(x88771,f2(a902)))+~P1(f295(f295(f208(a902),x88772),x88773))+~P1(f295(x88771,f46(a902,f295(a119,f575(x88772,x88771,x88773)),x88773))) % 192.26/192.34 [9039]E(f604(x90391,x90392,x90393),f2(a902))+P1(f295(f295(x90391,x90393),x90392))+P1(f295(f295(x90391,f604(x90391,x90392,x90393)),f46(a902,f603(x90391,x90392,x90393),f604(x90391,x90392,x90393))))+~P1(f295(f284(f910(a902,a902),a195),f295(f295(f217(a902,a902),x90393),x90392))) % 192.26/192.34 [9078]~P24(x90781,x90781,x90782,x90783)+E(f295(f276(x90781,x90781,x90782),x90783),x90783)+~P1(f295(f62(x90781),x90783))+~P1(f295(f295(f207(f911(x90781,a897)),f295(f276(x90781,x90781,x90782),x90783)),x90783)) % 192.26/192.34 [9313]P1(f295(f295(x93131,x93132),x93133))+~P1(f295(f295(f208(a1),f602(x93131,x93133,x93132)),f2(a1)))+P1(f295(f295(x93131,f295(f82(a1),f601(x93131,x93133,x93132))),f295(f82(a1),f602(x93131,x93133,x93132))))+~P1(f295(f284(f910(a1,a1),a197),f295(f295(f217(a1,a1),x93132),x93133))) % 192.26/192.34 [9498]P1(f295(f295(x94981,x94982),x94983))+P1(f295(f295(x94981,f295(f295(f83(a1),f680(x94981,x94983,x94982)),f81(a1))),f681(x94981,x94983,x94982)))+~P1(f295(f295(f207(a1),f680(x94981,x94983,x94982)),f681(x94981,x94983,x94982)))+~P1(f295(f284(f910(a1,a1),a169),f295(f295(f217(a1,a1),x94982),x94983))) % 192.26/192.34 [9922]~P71(x99222)+~P71(x99221)+~P1(f295(f57(f910(x99221,x99222)),x99223))+P1(f295(f57(x99221),f295(f295(f8(f911(x99222,a897),a897,x99221),f57(x99222)),f295(f295(f8(f911(x99222,f910(x99221,x99222)),f911(x99222,a897),x99221),f295(f8(f910(x99221,x99222),a897,x99222),x99223)),f217(x99221,x99222))))) % 192.26/192.34 [9923]~P71(x99232)+~P71(x99231)+~P1(f295(f58(f910(x99231,x99232)),x99233))+P1(f295(f58(x99231),f295(f295(f8(f911(x99232,a897),a897,x99231),f58(x99232)),f295(f295(f8(f911(x99232,f910(x99231,x99232)),f911(x99232,a897),x99231),f295(f8(f910(x99231,x99232),a897,x99232),x99233)),f217(x99231,x99232))))) % 192.26/192.34 [10015]~P71(x100152)+~P71(x100151)+P1(f295(f57(f910(x100151,x100152)),x100153))+~P1(f295(f57(x100151),f295(f295(f8(f911(x100152,a897),a897,x100151),f57(x100152)),f295(f295(f8(f911(x100152,f910(x100151,x100152)),f911(x100152,a897),x100151),f295(f8(f910(x100151,x100152),a897,x100152),x100153)),f217(x100151,x100152))))) % 192.26/192.34 [10016]~P71(x100162)+~P71(x100161)+P1(f295(f58(f910(x100161,x100162)),x100163))+~P1(f295(f58(x100161),f295(f295(f8(f911(x100162,a897),a897,x100161),f58(x100162)),f295(f295(f8(f911(x100162,f910(x100161,x100162)),f911(x100162,a897),x100161),f295(f8(f910(x100161,x100162),a897,x100162),x100163)),f217(x100161,x100162))))) % 192.26/192.34 [10195]E(f295(x101951,f548(x101952,x101951,x101953)),x101952)+~P1(f295(f295(f207(a1),x101952),f295(x101951,x101953)))+~P1(f295(f295(f207(a1),f295(f77(a1),f295(f295(f23(a1),f295(x101951,f295(f295(f83(a902),f549(x101952,x101951,x101953)),f81(a902)))),f295(x101951,f549(x101952,x101951,x101953))))),f81(a1)))+~P1(f295(f295(f207(a1),f295(x101951,f2(a902))),x101952)) % 192.26/192.34 [10196]E(f295(x101961,f550(x101962,x101961,x101963)),x101962)+~P1(f295(f295(f207(a1),x101962),f295(x101961,x101963)))+~P1(f295(f295(f207(a1),f295(f77(a1),f295(f295(f23(a1),f295(x101961,f295(f295(f83(a902),f551(x101962,x101961,x101963)),f81(a902)))),f295(x101961,f551(x101962,x101961,x101963))))),f81(a1)))+~P1(f295(f295(f207(a1),f295(x101961,f2(a902))),x101962)) % 192.26/192.34 [10199]~P1(f295(f295(f207(a1),x101991),f295(x101992,x101993)))+~P1(f295(f295(f207(a1),f295(f77(a1),f295(f295(f23(a1),f295(x101992,f295(f295(f83(a902),f549(x101991,x101992,x101993)),f81(a902)))),f295(x101992,f549(x101991,x101992,x101993))))),f81(a1)))+P1(f295(f295(f207(a902),f548(x101991,x101992,x101993)),x101993))+~P1(f295(f295(f207(a1),f295(x101992,f2(a902))),x101991)) % 192.26/192.34 [10200]~P1(f295(f295(f207(a1),x102001),f295(x102002,x102003)))+~P1(f295(f295(f207(a1),f295(f77(a1),f295(f295(f23(a1),f295(x102002,f295(f295(f83(a902),f551(x102001,x102002,x102003)),f81(a902)))),f295(x102002,f551(x102001,x102002,x102003))))),f81(a1)))+P1(f295(f295(f207(a902),f550(x102001,x102002,x102003)),x102003))+~P1(f295(f295(f207(a1),f295(x102002,f2(a902))),x102001)) % 192.26/192.34 [10292]E(x102921,x102922)+~E(f295(f131(f903(x102923),f903(x102923),f122(x102923),f120(x102923)),x102921),f295(f131(f903(x102923),f903(x102923),f122(x102923),f120(x102923)),x102922))+~E(f295(f177(f903(f903(x102923))),x102921),f295(f177(f903(f903(x102923))),x102922))+~P1(f295(f295(f228(f903(x102923),f903(x102923),a897),f295(f295(f7(f903(x102923),f911(f903(x102923),a902),f911(f903(x102923),a897)),f295(f295(f8(f911(a902,a897),f911(f911(f903(x102923),a902),f911(f903(x102923),a897)),f903(x102923)),f8(a902,a897,f903(x102923))),f295(f295(f8(a902,f911(a902,a897),f903(x102923)),a292),f177(f903(x102923))))),f177(f903(x102923)))),f712(x102921,x102922,x102923))) % 192.26/192.34 [10293]E(x102931,x102932)+~E(f295(f131(f903(x102933),f903(x102933),f122(x102933),f120(x102933)),x102931),f295(f131(f903(x102933),f903(x102933),f122(x102933),f120(x102933)),x102932))+~E(f295(f177(f903(f903(x102933))),x102931),f295(f177(f903(f903(x102933))),x102932))+~P1(f295(f295(f228(f903(x102933),f903(x102933),a897),f295(f295(f7(f903(x102933),f911(f903(x102933),a902),f911(f903(x102933),a897)),f295(f295(f8(f911(a902,a897),f911(f911(f903(x102933),a902),f911(f903(x102933),a897)),f903(x102933)),f8(a902,a897,f903(x102933))),f295(f295(f8(a902,f911(a902,a897),f903(x102933)),a292),f177(f903(x102933))))),f177(f903(x102933)))),f713(x102932,x102931,x102933))) % 192.26/192.34 [10453]P1(f295(f295(a913,x104531),x104532))+~P1(f295(f295(a914,x104531),x104533))+P1(f101(a896,a897,f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a898,f911(f911(a896,f911(a899,a897)),a897)),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,a897)),f911(f911(a896,f911(a899,a897)),a897),a898),f295(f8(f911(a896,a897),a897,f911(a896,f911(a899,a897))),f91(a896)))),f295(f295(f8(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,a897)),a898),f295(f8(f911(a896,f911(a899,a897)),f911(a896,a897),f911(a896,f911(a899,a897))),f295(f8(f911(a899,a897),a897,a896),f91(a899))))),f295(f295(f7(f911(a896,f911(a899,a897)),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f295(f295(f8(f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a898,f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))))),f911(a896,f911(a899,a897))),f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898)),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f911(a896,f911(a899,a897))),f8(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897)))),f295(f295(f8(f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f911(a896,f911(a899,a897))),f18(a896,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a896,f911(a899,f911(a897,a897))),f911(a896,f911(f911(a899,a897),f911(a899,a897))),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a896),f18(a899,a897,a897))),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a896),f295(f8(a897,f911(a897,a897),a899),a298))))))),f295(f295(f8(f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),a898),f295(f8(f911(a896,f911(a899,f911(a899,a897))),f911(a896,f911(a899,a897)),f911(a896,f911(a899,a897))),f295(f8(f911(a899,f911(a899,a897)),f911(a899,a897),a896),f295(f8(f911(a899,a897),a897,a899),f91(a899))))),f295(f295(f8(f911(f911(a899,a897),f911(a899,f911(a899,a897))),f911(f911(a896,f911(a899,a897)),f911(a896,f911(a899,f911(a899,a897)))),a898),f8(f911(a899,a897),f911(a899,f911(a899,a897)),a896)),f295(f295(f8(f911(a899,f911(f911(a899,a897),f911(a899,a897))),f911(f911(a899,a897),f911(a899,f911(a899,a897))),a898),f7(a899,f911(a899,a897),f911(a899,a897))),f295(f295(f8(f911(a899,f911(a899,f911(a897,a897))),f911(a899,f911(f911(a899,a897),f911(a899,a897))),a898),f295(f8(f911(a899,f911(a897,a897)),f911(f911(a899,a897),f911(a899,a897)),a899),f18(a899,a897,a897))),f295(f295(f8(f911(a899,f911(a899,a897)),f911(a899,f911(a899,f911(a897,a897))),a898),f295(f8(f911(a899,a897),f911(a899,f911(a897,a897)),a899),f295(f8(a897,f911(a897,a897),a899),a298))),f295(f295(f7(a898,a902,f911(a899,f911(a899,a897))),f295(f295(f8(f911(a899,f911(a902,f911(a899,a897))),f911(a902,f911(a899,f911(a899,a897))),a898),f7(a899,a902,f911(a899,a897))),a184)),a915))))))))),f98(a896,a914,a916,a913)))+~P1(f295(f295(f295(f295(a184,a916),x104533),a915),x104532)) % 192.26/192.34 [6954]~E(f81(a902),f2(a902))+~P1(f295(f62(x69541),x69543))+~P1(f295(f62(x69541),x69542))+E(f295(f295(f83(a902),f295(f39(x69541),x69542)),f295(f39(x69541),x69543)),f295(f39(x69541),f295(f295(f117(f911(x69541,a897)),x69542),x69543))) % 192.26/192.34 [7367]~P110(x73671)+~P1(f295(f62(x73671),x73672))+~P1(f295(f295(f297(x73671),x73673),x73672))+P1(f295(f295(f207(x73671),f295(f64(x73671,f108(x73671)),x73672)),x73673)) % 192.26/192.34 [7368]~P114(x73681)+~P1(f295(f62(x73681),x73682))+~P1(f295(f295(f297(x73681),x73683),x73682))+P1(f295(f295(f207(x73681),f295(f64(x73681,f205(x73681)),x73682)),x73683)) % 192.26/192.34 [7620]~P1(f295(f62(x76201),x76203))+~P1(f295(f62(x76201),x76202))+~E(f295(f295(f108(f911(x76201,a897)),x76202),x76203),f176(f911(x76201,a897)))+E(f295(f295(f83(a902),f295(f39(x76201),x76202)),f295(f39(x76201),x76203)),f295(f39(x76201),f295(f295(f117(f911(x76201,a897)),x76202),x76203))) % 192.26/192.34 [8411]~P36(x84111,x84113)+~P36(x84111,x84112)+~E(f295(f295(f108(f911(x84111,a897)),f295(f215(x84111,x84111),x84112)),f295(f251(x84111,x84111),x84113)),f176(f911(x84111,a897)))+P36(x84111,f295(f295(f117(f911(f910(x84111,x84111),a897)),x84112),x84113)) % 192.26/192.34 [8503]E(x85031,f295(f295(f40(a902),x85032),x85033))+~P1(f295(f295(f208(a902),f2(a902)),x85033))+~P1(f295(f295(f208(a902),x85032),f295(f295(f84(a902),x85033),f295(a119,x85031))))+~P1(f295(f295(f207(a902),f295(f295(f84(a902),x85033),x85031)),x85032)) % 192.26/192.34 [8639]~P1(f295(f62(x86391),x86392))+~P1(f295(f62(x86391),x86393))+E(f295(f295(f83(a902),f295(f39(x86391),x86392)),f295(f39(x86391),x86393)),f295(f39(x86391),f295(f295(f117(f911(x86391,a897)),x86392),x86393)))+P1(f295(f295(f297(x86391),f424(x86393,x86392,x86391)),f295(f295(f108(f911(x86391,a897)),x86392),x86393))) % 192.26/192.34 [9050]~P133(x90502)+~E(x90501,f2(x90502))+~E(x90503,f2(x90502))+~P1(f295(f295(f208(x90502),f2(x90502)),f295(f295(f83(x90502),f295(f295(f84(x90502),x90503),x90503)),f295(f295(f84(x90502),x90501),x90501)))) % 192.26/192.34 [9571]~P36(x95711,x95713)+~P36(x95711,x95712)+P36(x95711,f295(f295(f117(f911(f910(x95711,x95711),a897)),x95712),x95713))+~P1(f295(f295(f207(f911(f910(x95711,x95711),a897)),f295(f295(f255(x95711,x95711,x95711),x95712),x95713)),x95712)) % 192.26/192.34 [9695]~P1(f295(x96951,x96953))+~P1(f295(f62(x96952),x96953))+P1(f295(x96951,f176(f911(x96952,a897))))+~P1(f295(x96951,f295(f295(f23(f911(x96952,a897)),f392(x96951,x96953,x96952)),f295(f295(f275(x96952),f393(x96951,x96953,x96952)),f176(f911(x96952,a897)))))) % 192.26/192.34 [8824]~P1(f295(f295(f208(a1),f2(a1)),x88243))+P1(f295(f295(f207(a1),f2(a1)),x88241))+~P1(f295(f295(f208(a1),x88242),x88243))+~P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),f295(f295(f84(a1),x88243),x88241)),x88242))) % 192.26/192.34 [8846]~P99(x88461)+~P1(f295(f62(x88461),x88462))+E(f295(f295(f23(f911(x88461,a897)),x88462),f295(f295(f275(x88461),x88463),f176(f911(x88461,a897)))),f176(f911(x88461,a897)))+E(f295(f295(f117(x88461),x88463),f10(x88461,f295(f295(f23(f911(x88461,a897)),x88462),f295(f295(f275(x88461),x88463),f176(f911(x88461,a897)))))),f10(x88461,f295(f295(f275(x88461),x88463),x88462))) % 192.26/192.34 [8847]~P99(x88471)+~P1(f295(f62(x88471),x88472))+E(f295(f295(f23(f911(x88471,a897)),x88472),f295(f295(f275(x88471),x88473),f176(f911(x88471,a897)))),f176(f911(x88471,a897)))+E(f295(f295(f108(x88471),x88473),f11(x88471,f295(f295(f23(f911(x88471,a897)),x88472),f295(f295(f275(x88471),x88473),f176(f911(x88471,a897)))))),f11(x88471,f295(f295(f275(x88471),x88473),x88472))) % 192.26/192.34 [8848]~P114(x88481)+~P1(f295(f62(x88481),x88482))+E(f295(f295(f23(f911(x88481,a897)),x88482),f295(f295(f275(x88481),x88483),f176(f911(x88481,a897)))),f176(f911(x88481,a897)))+E(f295(f295(f205(x88481),x88483),f14(x88481,f295(f295(f23(f911(x88481,a897)),x88482),f295(f295(f275(x88481),x88483),f176(f911(x88481,a897)))))),f14(x88481,f295(f295(f275(x88481),x88483),x88482))) % 192.26/192.34 [8849]~P114(x88491)+~P1(f295(f62(x88491),x88492))+E(f295(f295(f23(f911(x88491,a897)),x88492),f295(f295(f275(x88491),x88493),f176(f911(x88491,a897)))),f176(f911(x88491,a897)))+E(f295(f295(f206(x88491),x88493),f15(x88491,f295(f295(f23(f911(x88491,a897)),x88492),f295(f295(f275(x88491),x88493),f176(f911(x88491,a897)))))),f15(x88491,f295(f295(f275(x88491),x88493),x88492))) % 192.26/192.34 [8927]~P114(x89271)+~P1(f295(f62(x89271),x89272))+E(f295(f295(f23(f911(x89271,a897)),x89272),f295(f295(f275(x89271),x89273),f176(f911(x89271,a897)))),f176(f911(x89271,a897)))+E(f295(f295(f205(x89271),x89273),f12(x89271,f205(x89271),f295(f295(f23(f911(x89271,a897)),x89272),f295(f295(f275(x89271),x89273),f176(f911(x89271,a897)))))),f12(x89271,f205(x89271),f295(f295(f275(x89271),x89273),x89272))) % 192.26/192.34 [8928]~P114(x89281)+~P1(f295(f62(x89281),x89282))+E(f295(f295(f23(f911(x89281,a897)),x89282),f295(f295(f275(x89281),x89283),f176(f911(x89281,a897)))),f176(f911(x89281,a897)))+E(f295(f295(f206(x89281),x89283),f13(x89281,f206(x89281),f295(f295(f23(f911(x89281,a897)),x89282),f295(f295(f275(x89281),x89283),f176(f911(x89281,a897)))))),f13(x89281,f206(x89281),f295(f295(f275(x89281),x89283),x89282))) % 192.26/192.34 [9516]E(x95161,x95162)+~E(f295(f131(f903(x95163),f903(x95163),f122(x95163),f120(x95163)),x95161),f295(f131(f903(x95163),f903(x95163),f122(x95163),f120(x95163)),x95162))+~E(f295(f177(f903(f903(x95163))),x95161),f295(f177(f903(f903(x95163))),x95162))+P1(f295(f295(f297(f910(f903(x95163),f903(x95163))),f712(x95161,x95162,x95163)),f295(f160(f910(f903(x95163),f903(x95163))),f295(f295(f168(f903(x95163),f903(x95163)),x95162),x95161)))) % 192.26/192.34 [9517]E(x95171,x95172)+~E(f295(f131(f903(x95173),f903(x95173),f122(x95173),f120(x95173)),x95171),f295(f131(f903(x95173),f903(x95173),f122(x95173),f120(x95173)),x95172))+~E(f295(f177(f903(f903(x95173))),x95171),f295(f177(f903(f903(x95173))),x95172))+P1(f295(f295(f297(f910(f903(x95173),f903(x95173))),f713(x95172,x95171,x95173)),f295(f160(f910(f903(x95173),f903(x95173))),f295(f295(f168(f903(x95173),f903(x95173)),x95171),x95172)))) % 192.26/192.34 [10408]~P108(x104082)+E(x104081,f176(f911(x104082,a897)))+~P1(f295(f62(x104082),x104081))+E(f11(x104082,f295(f212(x104082),f295(f295(f8(f911(x104082,a897),a897,x104082),f90(x104082)),f295(f295(f7(x104082,f911(x104082,a897),f911(x104082,a897)),f295(f295(f8(f911(x104082,f911(a897,a897)),f911(f911(x104082,a897),f911(x104082,a897)),x104082),f18(x104082,a897,a897)),f295(f295(f8(f911(x104082,a897),f911(x104082,f911(a897,a897)),x104082),f295(f8(a897,f911(a897,a897),x104082),a293)),f295(f295(f7(x104082,f911(x104082,x104082),f911(x104082,a897)),f295(f295(f8(f911(x104082,a897),f911(f911(x104082,x104082),f911(x104082,a897)),x104082),f8(x104082,a897,x104082)),a292)),f295(f117(x104082),x104083))))),f295(f295(f7(x104082,f911(x104082,a897),a897),f297(x104082)),x104081))))),f295(f295(f117(x104082),x104083),f11(x104082,x104081))) % 192.26/192.34 [10409]~P108(x104092)+E(x104091,f176(f911(x104092,a897)))+~P1(f295(f62(x104092),x104091))+E(f10(x104092,f295(f212(x104092),f295(f295(f8(f911(x104092,a897),a897,x104092),f90(x104092)),f295(f295(f7(x104092,f911(x104092,a897),f911(x104092,a897)),f295(f295(f8(f911(x104092,f911(a897,a897)),f911(f911(x104092,a897),f911(x104092,a897)),x104092),f18(x104092,a897,a897)),f295(f295(f8(f911(x104092,a897),f911(x104092,f911(a897,a897)),x104092),f295(f8(a897,f911(a897,a897),x104092),a293)),f295(f295(f7(x104092,f911(x104092,x104092),f911(x104092,a897)),f295(f295(f8(f911(x104092,a897),f911(f911(x104092,x104092),f911(x104092,a897)),x104092),f8(x104092,a897,x104092)),a292)),f295(f108(x104092),x104093))))),f295(f295(f7(x104092,f911(x104092,a897),a897),f297(x104092)),x104091))))),f295(f295(f108(x104092),x104093),f10(x104092,x104091))) % 192.26/192.34 [10410]~P85(x104102)+E(x104101,f176(f911(x104102,a897)))+~P1(f295(f62(x104102),x104101))+E(f14(x104102,f295(f212(x104102),f295(f295(f8(f911(x104102,a897),a897,x104102),f90(x104102)),f295(f295(f7(x104102,f911(x104102,a897),f911(x104102,a897)),f295(f295(f8(f911(x104102,f911(a897,a897)),f911(f911(x104102,a897),f911(x104102,a897)),x104102),f18(x104102,a897,a897)),f295(f295(f8(f911(x104102,a897),f911(x104102,f911(a897,a897)),x104102),f295(f8(a897,f911(a897,a897),x104102),a293)),f295(f295(f7(x104102,f911(x104102,x104102),f911(x104102,a897)),f295(f295(f8(f911(x104102,a897),f911(f911(x104102,x104102),f911(x104102,a897)),x104102),f8(x104102,a897,x104102)),a292)),f295(f83(x104102),x104103))))),f295(f295(f7(x104102,f911(x104102,a897),a897),f297(x104102)),x104101))))),f295(f295(f83(x104102),x104103),f14(x104102,x104101))) % 192.26/192.34 [10411]~P85(x104112)+E(x104111,f176(f911(x104112,a897)))+~P1(f295(f62(x104112),x104111))+E(f15(x104112,f295(f212(x104112),f295(f295(f8(f911(x104112,a897),a897,x104112),f90(x104112)),f295(f295(f7(x104112,f911(x104112,a897),f911(x104112,a897)),f295(f295(f8(f911(x104112,f911(a897,a897)),f911(f911(x104112,a897),f911(x104112,a897)),x104112),f18(x104112,a897,a897)),f295(f295(f8(f911(x104112,a897),f911(x104112,f911(a897,a897)),x104112),f295(f8(a897,f911(a897,a897),x104112),a293)),f295(f295(f7(x104112,f911(x104112,x104112),f911(x104112,a897)),f295(f295(f8(f911(x104112,a897),f911(f911(x104112,x104112),f911(x104112,a897)),x104112),f8(x104112,a897,x104112)),a292)),f295(f83(x104112),x104113))))),f295(f295(f7(x104112,f911(x104112,a897),a897),f297(x104112)),x104111))))),f295(f295(f83(x104112),x104113),f15(x104112,x104111))) % 192.26/192.34 [10412]~P114(x104122)+E(x104121,f176(f911(x104122,a897)))+~P1(f295(f62(x104122),x104121))+E(f13(x104122,f206(x104122),f295(f212(x104122),f295(f295(f8(f911(x104122,a897),a897,x104122),f90(x104122)),f295(f295(f7(x104122,f911(x104122,a897),f911(x104122,a897)),f295(f295(f8(f911(x104122,f911(a897,a897)),f911(f911(x104122,a897),f911(x104122,a897)),x104122),f18(x104122,a897,a897)),f295(f295(f8(f911(x104122,a897),f911(x104122,f911(a897,a897)),x104122),f295(f8(a897,f911(a897,a897),x104122),a293)),f295(f295(f7(x104122,f911(x104122,x104122),f911(x104122,a897)),f295(f295(f8(f911(x104122,a897),f911(f911(x104122,x104122),f911(x104122,a897)),x104122),f8(x104122,a897,x104122)),a292)),f295(f205(x104122),x104123))))),f295(f295(f7(x104122,f911(x104122,a897),a897),f297(x104122)),x104121))))),f295(f295(f205(x104122),x104123),f13(x104122,f206(x104122),x104121))) % 192.26/192.34 [10413]~P114(x104132)+E(x104131,f176(f911(x104132,a897)))+~P1(f295(f62(x104132),x104131))+E(f12(x104132,f205(x104132),f295(f212(x104132),f295(f295(f8(f911(x104132,a897),a897,x104132),f90(x104132)),f295(f295(f7(x104132,f911(x104132,a897),f911(x104132,a897)),f295(f295(f8(f911(x104132,f911(a897,a897)),f911(f911(x104132,a897),f911(x104132,a897)),x104132),f18(x104132,a897,a897)),f295(f295(f8(f911(x104132,a897),f911(x104132,f911(a897,a897)),x104132),f295(f8(a897,f911(a897,a897),x104132),a293)),f295(f295(f7(x104132,f911(x104132,x104132),f911(x104132,a897)),f295(f295(f8(f911(x104132,a897),f911(f911(x104132,x104132),f911(x104132,a897)),x104132),f8(x104132,a897,x104132)),a292)),f295(f206(x104132),x104133))))),f295(f295(f7(x104132,f911(x104132,a897),a897),f297(x104132)),x104131))))),f295(f295(f206(x104132),x104133),f12(x104132,f205(x104132),x104131))) % 192.26/192.34 [10084]~P119(x100841)+~E(x100843,f2(x100841))+~E(x100842,f2(x100841))+E(f295(f295(f83(x100841),f295(f295(f218(x100841),x100842),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x100841),x100843),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f2(x100841)) % 192.26/192.34 [10275]~P131(x102751)+~P1(f295(f295(f207(x102751),f2(x102751)),x102753))+P1(f295(f295(f207(x102751),x102752),x102753))+~P1(f295(f295(f207(x102751),f295(f295(f218(x102751),x102752),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x102751),x102753),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))))) % 192.26/192.34 [10335]~P119(x103352)+~E(x103351,f2(x103352))+~E(x103353,f2(x103352))+~P1(f295(f295(f208(x103352),f2(x103352)),f295(f295(f83(x103352),f295(f295(f218(x103352),x103353),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))),f295(f295(f218(x103352),x103351),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))))) % 192.26/192.34 [6782]~P8(x67821,x67822)+~E(f842(x67823,x67822,x67821,x67824),x67824)+~P1(f295(x67823,x67824))+P1(f295(f238(x67821,x67822),x67823)) % 192.26/192.34 [6841]~P8(x68413,x68412)+~P1(f295(x68411,x68414))+~P1(f295(f295(f297(x68413),x68414),f236(x68413,x68412)))+P1(f295(x68411,f303(x68411,x68412,x68413))) % 192.26/192.34 [7005]~P1(f295(x70053,x70054))+P1(f295(x70053,f607(x70053,x70052,x70051)))+~P1(f295(f295(f297(x70051),x70054),f236(x70051,x70052)))+P1(f295(f238(x70051,x70052),x70053)) % 192.26/192.34 [7006]~P1(f295(x70063,x70064))+P1(f295(x70063,f620(x70063,x70062,x70061)))+~P1(f295(f295(f297(x70061),x70064),f236(x70061,x70062)))+P1(f295(f238(x70061,x70062),x70063)) % 192.26/192.34 [7157]~P8(x71573,x71574)+P1(f295(x71571,x71572))+~P1(f295(x71571,f688(x71571,x71574,x71573)))+~P1(f295(f295(f297(x71573),x71572),f236(x71573,x71574))) % 192.26/192.34 [7391]~E(f664(x73913,x73912,x73911,x73914),x73914)+~P1(f295(x73913,x73914))+~P1(f295(f295(f297(x73911),x73914),f236(x73911,x73912)))+P1(f295(f238(x73911,x73912),x73913)) % 192.26/192.34 [7841]~P1(f295(x78413,x78414))+P1(f295(f295(f297(x78411),f607(x78413,x78412,x78411)),f236(x78411,x78412)))+~P1(f295(f295(f297(x78411),x78414),f236(x78411,x78412)))+P1(f295(f238(x78411,x78412),x78413)) % 192.26/192.34 [7842]~P1(f295(x78423,x78424))+P1(f295(f295(f297(x78421),f620(x78423,x78422,x78421)),f236(x78421,x78422)))+~P1(f295(f295(f297(x78421),x78424),f236(x78421,x78422)))+P1(f295(f238(x78421,x78422),x78423)) % 192.26/192.34 [8148]~P8(x81481,x81482)+~P1(f295(x81483,x81484))+P1(f295(x81483,f842(x81483,x81482,x81481,x81484)))+P1(f295(f238(x81481,x81482),x81483)) % 192.26/192.34 [8412]~P1(f295(x84123,x84124))+~P1(f295(f295(f297(x84121),x84124),f236(x84121,x84122)))+P1(f295(x84123,f664(x84123,x84122,x84121,x84124)))+P1(f295(f238(x84121,x84122),x84123)) % 192.26/192.34 [8508]~P1(f295(x85083,x85084))+~P1(f295(f295(f297(x85081),x85084),f236(x85081,x85082)))+~P1(f295(f295(x85082,f607(x85083,x85082,x85081)),f620(x85083,x85082,x85081)))+P1(f295(f238(x85081,x85082),x85083)) % 192.26/192.34 [9060]~P1(f295(x90603,x90604))+~P1(f295(f295(f297(x90601),x90604),f236(x90601,x90602)))+P1(f295(f295(f297(x90601),f664(x90603,x90602,x90601,x90604)),f236(x90601,x90602)))+P1(f295(f238(x90601,x90602),x90603)) % 192.26/192.34 [9478]E(x94781,x94782)+~E(f682(x94781,x94782,x94784,x94783),f683(x94781,x94782,x94784,x94783))+P1(f295(f295(f297(f910(f903(x94783),f903(x94783))),f295(f295(f217(f903(x94783),f903(x94783)),x94782),x94781)),f136(x94783,x94784)))+P1(f295(f295(f297(f910(f903(x94783),f903(x94783))),f295(f295(f217(f903(x94783),f903(x94783)),x94781),x94782)),f136(x94783,x94784))) % 192.26/192.34 [5016]~P72(x50162)+~E(x50164,f2(x50162))+~E(x50161,f2(x50162))+E(x50161,f295(f295(f256(x50162),x50163),x50164)) % 192.26/192.34 [5017]~P72(x50171)+~E(x50173,f2(x50171))+~E(x50174,f2(x50171))+E(f295(f295(f256(x50171),x50172),x50173),x50174) % 192.26/192.34 [5131]~P72(x51312)+E(x51311,f2(x51312))+~E(x51313,f2(x51312))+~E(x51311,f295(f295(f256(x51312),x51314),x51313)) % 192.26/192.34 [5132]~P72(x51322)+E(x51321,f2(x51322))+~E(x51323,f2(x51322))+~E(f295(f295(f256(x51322),x51324),x51323),x51321) % 192.26/192.34 [5316]~P126(x53162)+E(x53161,f2(x53162))+~E(f295(f295(f256(x53162),x53163),x53161),x53164)+E(x53163,f295(f295(f84(x53162),x53164),x53161)) % 192.26/192.34 [5318]~P126(x53182)+E(x53181,f2(x53182))+~E(f295(f295(f84(x53182),x53183),x53181),x53184)+E(x53183,f295(f295(f256(x53182),x53184),x53181)) % 192.26/192.34 [5319]~P72(x53192)+E(x53191,f2(x53192))+~E(f295(f295(f256(x53192),x53193),x53191),x53194)+E(x53193,f295(f295(f84(x53192),x53194),x53191)) % 192.26/192.34 [5320]~P72(x53202)+E(x53201,f2(x53202))+~E(f295(f295(f84(x53202),x53203),x53201),x53204)+E(x53203,f295(f295(f256(x53202),x53204),x53201)) % 192.26/192.34 [5321]~P126(x53212)+E(x53211,f2(x53212))+~E(x53213,f295(f295(f256(x53212),x53214),x53211))+E(f295(f295(f84(x53212),x53213),x53211),x53214) % 192.26/192.34 [5323]~P126(x53232)+E(x53231,f2(x53232))+~E(x53233,f295(f295(f84(x53232),x53234),x53231))+E(f295(f295(f256(x53232),x53233),x53231),x53234) % 192.26/192.34 [5324]~P72(x53242)+E(x53241,f2(x53242))+~E(x53243,f295(f295(f256(x53242),x53244),x53241))+E(f295(f295(f84(x53242),x53243),x53241),x53244) % 192.26/192.34 [5325]~P72(x53252)+E(x53251,f2(x53252))+~E(x53253,f295(f295(f84(x53252),x53254),x53251))+E(f295(f295(f256(x53252),x53253),x53251),x53254) % 192.26/192.34 [5350]~P72(x53502)+~E(x53501,f2(x53502))+~E(f295(f295(f84(x53502),x53501),x53504),x53503)+E(x53501,f295(f295(f256(x53502),x53503),x53504)) % 192.26/192.34 [5351]~P72(x53511)+~E(x53514,f2(x53511))+~E(x53512,f295(f295(f84(x53511),x53514),x53513))+E(f295(f295(f256(x53511),x53512),x53513),x53514) % 192.26/192.34 [5421]~E(x54213,x54214)+~E(x54212,x54213)+~P116(x54211)+E(f269(x54211,x54212,x54213),f295(f295(f275(x54211),x54214),f176(f911(x54211,a897)))) % 192.26/192.34 [5630]~E(f133(x56302,x56301),x56304)+~E(f121(x56302,x56301),x56303)+E(x56301,f120(x56302))+E(f295(f295(f122(x56302),x56303),f295(f295(f140(x56302),x56304),f120(x56302))),x56301) % 192.26/192.34 [6244]~P131(x62443)+E(x62441,x62442)+~E(f295(f295(f218(x62443),x62444),x62441),f295(f295(f218(x62443),x62444),x62442))+~P1(f295(f295(f208(x62443),f81(x62443)),x62444)) % 192.26/192.34 [6245]E(x62451,x62452)+~E(f295(f295(f275(x62453),x62454),x62451),f295(f295(f275(x62453),x62454),x62452))+P1(f295(f295(f297(x62453),x62454),x62452))+P1(f295(f295(f297(x62453),x62454),x62451)) % 192.26/192.34 [6286]E(f295(x62861,x62862),f2(a902))+~E(f295(f295(f6(x62863,a902),x62861),x62864),f2(a902))+~P1(f295(f62(x62863),x62864))+~P1(f295(f295(f297(x62863),x62862),x62864)) % 192.26/192.34 [6287]E(f295(x62871,x62872),f81(a902))+~E(f295(f295(f9(x62873,a902),x62871),x62874),f81(a902))+~P1(f295(f62(x62873),x62874))+~P1(f295(f295(f297(x62873),x62872),x62874)) % 192.26/192.34 [6500]~P116(x65001)+~P1(f295(f295(f207(x65001),x65004),x65003))+P1(f295(f295(f207(x65001),x65002),x65003))+~P1(f295(f295(f207(x65001),x65002),x65004)) % 192.26/192.34 [6501]~P112(x65011)+~P1(f295(f295(f207(x65011),x65012),x65014))+P1(f295(f295(f207(x65011),x65012),x65013))+~P1(f295(f295(f207(x65011),x65014),x65013)) % 192.26/192.34 [6502]~P116(x65021)+~P1(f295(f295(f208(x65021),x65024),x65023))+P1(f295(f295(f208(x65021),x65022),x65023))+~P1(f295(f295(f207(x65021),x65022),x65024)) % 192.26/192.34 [6503]~P116(x65031)+~P1(f295(f295(f208(x65031),x65032),x65034))+P1(f295(f295(f208(x65031),x65032),x65033))+~P1(f295(f295(f207(x65031),x65034),x65033)) % 192.26/192.34 [6504]~P116(x65041)+~P1(f295(f295(f208(x65041),x65044),x65043))+P1(f295(f295(f208(x65041),x65042),x65043))+~P1(f295(f295(f208(x65041),x65042),x65044)) % 192.26/192.34 [6505]~P112(x65051)+~P1(f295(f295(f208(x65051),x65052),x65054))+P1(f295(f295(f208(x65051),x65052),x65053))+~P1(f295(f295(f207(x65051),x65054),x65053)) % 192.26/192.34 [6506]~P112(x65061)+~P1(f295(f295(f208(x65061),x65064),x65063))+P1(f295(f295(f208(x65061),x65062),x65063))+~P1(f295(f295(f207(x65061),x65062),x65064)) % 192.26/192.34 [6507]~P112(x65071)+~P1(f295(f295(f208(x65071),x65072),x65074))+P1(f295(f295(f208(x65071),x65072),x65073))+~P1(f295(f295(f208(x65071),x65074),x65073)) % 192.26/192.34 [6591]~P32(x65914,x65913,x65912)+E(x65911,f637(x65912,x65913,x65914))+~P1(f295(x65913,x65911))+~P1(f295(f295(f297(x65914),x65911),f295(f160(x65914),x65912))) % 192.26/192.34 [6592]~P32(x65924,x65923,x65922)+E(x65921,f670(x65922,x65923,x65924))+~P1(f295(x65923,x65921))+~P1(f295(f295(f297(x65924),x65921),f295(f160(x65924),x65922))) % 192.26/192.34 [6736]~P6(x67361)+~P1(f295(f295(f207(x67361),x67362),f42(x67361,x67364)))+P1(f295(f295(f207(x67361),x67362),x67363))+~P1(f295(f295(f297(x67361),x67363),x67364)) % 192.26/192.34 [6878]~P114(x68781)+~P12(x68781,f295(f295(f140(x68781),x68782),x68784))+~P1(f295(f295(f297(x68781),x68783),f295(f160(x68781),x68784)))+P1(f295(f295(f207(x68781),x68782),x68783)) % 192.26/192.34 [6964]~P6(x69641)+~P1(f295(f295(f207(x69641),f41(x69641,x69644)),x69643))+P1(f295(f295(f207(x69641),x69642),x69643))+~P1(f295(f295(f297(x69641),x69642),x69644)) % 192.26/192.34 [7370]~P114(x73701)+E(f295(f295(f117(f911(x73701,a897)),f295(f268(x73701,x73702),x73703)),f295(f268(x73701,x73703),x73704)),f295(f268(x73701,x73702),x73704))+~P1(f295(f295(f207(x73701),x73703),x73704))+~P1(f295(f295(f207(x73701),x73702),x73703)) % 192.26/192.35 [7415]P32(x74151,x74152,x74153)+~E(f671(x74153,x74152,x74151,x74154),x74154)+~P1(f295(x74152,x74154))+~P1(f295(f295(f297(x74151),x74154),f295(f160(x74151),x74153))) % 192.26/192.35 [7416]P32(x74161,x74162,x74163)+~E(f675(x74163,x74162,x74161,x74164),x74164)+~P1(f295(x74162,x74164))+~P1(f295(f295(f297(x74161),x74164),f295(f160(x74161),x74163))) % 192.26/192.35 [7488]~P114(x74881)+E(f295(f295(f117(f911(x74881,a897)),f295(f268(x74881,x74882),x74883)),f269(x74881,x74883,x74884)),f269(x74881,x74882,x74884))+~P1(f295(f295(f207(x74881),x74883),x74884))+~P1(f295(f295(f207(x74881),x74882),x74883)) % 192.26/192.35 [7553]~P114(x75531)+E(f295(f295(f117(f911(x75531,a897)),f272(x75531,x75532,x75533)),f295(f268(x75531,x75533),x75534)),f272(x75531,x75532,x75534))+~P1(f295(f295(f207(x75531),x75533),x75534))+~P1(f295(f295(f208(x75531),x75532),x75533)) % 192.26/192.35 [7570]~P114(x75701)+E(f295(f295(f117(f911(x75701,a897)),f269(x75701,x75702,x75703)),f272(x75701,x75703,x75704)),f295(f268(x75701,x75702),x75704))+~P1(f295(f295(f207(x75701),x75702),x75703))+~P1(f295(f295(f208(x75701),x75703),x75704)) % 192.26/192.35 [7600]~P114(x76001)+E(f295(f295(f117(f911(x76001,a897)),f272(x76001,x76002,x76003)),f269(x76001,x76003,x76004)),f271(x76001,x76002,x76004))+~P1(f295(f295(f207(x76001),x76003),x76004))+~P1(f295(f295(f208(x76001),x76002),x76003)) % 192.26/192.35 [7601]~P114(x76011)+E(f295(f295(f117(f911(x76011,a897)),f271(x76011,x76012,x76013)),f272(x76011,x76013,x76014)),f272(x76011,x76012,x76014))+~P1(f295(f295(f207(x76011),x76012),x76013))+~P1(f295(f295(f208(x76011),x76013),x76014)) % 192.26/192.35 [7602]~P114(x76021)+E(f295(f295(f117(f911(x76021,a897)),f271(x76021,x76022,x76023)),f271(x76021,x76023,x76024)),f271(x76021,x76022,x76024))+~P1(f295(f295(f207(x76021),x76023),x76024))+~P1(f295(f295(f207(x76021),x76022),x76023)) % 192.26/192.35 [7603]~P114(x76031)+E(f295(f295(f117(f911(x76031,a897)),f269(x76031,x76032,x76033)),f271(x76031,x76033,x76034)),f269(x76031,x76032,x76034))+~P1(f295(f295(f207(x76031),x76033),x76034))+~P1(f295(f295(f207(x76031),x76032),x76033)) % 192.26/192.35 [8395]P24(x83951,x83952,f419(x83953,x83952,x83954,x83951),x83954)+~P1(f295(f62(x83952),x83953))+~P1(f295(f62(x83951),x83954))+~P1(f295(f295(f207(a902),f295(f39(x83951),x83954)),f295(f39(x83952),x83953))) % 192.26/192.35 [8417]P32(x84171,x84172,x84173)+~P1(f295(x84172,x84174))+P1(f295(x84172,f671(x84173,x84172,x84171,x84174)))+~P1(f295(f295(f297(x84171),x84174),f295(f160(x84171),x84173))) % 192.26/192.35 [8418]P32(x84181,x84182,x84183)+~P1(f295(x84182,x84184))+P1(f295(x84182,f675(x84183,x84182,x84181,x84184)))+~P1(f295(f295(f297(x84181),x84184),f295(f160(x84181),x84183))) % 192.26/192.35 [8471]~P83(x84711)+~E(f295(x84713,f574(x84713,x84714,x84712,x84711)),f81(x84711))+E(f295(f295(f295(f66(x84711,x84712,f84(x84711)),x84713),f81(x84711)),x84714),f81(x84711))+~P1(f295(f62(x84712),x84714)) % 192.26/192.35 [8741]~P131(x87411)+~P1(f295(f295(f207(x87411),f2(x87411)),x87413))+P1(f295(f295(f207(x87411),x87412),x87413))+~P1(f295(f295(f207(x87411),f295(f295(f218(x87411),x87412),f295(a119,x87414))),f295(f295(f218(x87411),x87413),f295(a119,x87414)))) % 192.26/192.35 [9079]P32(x90791,x90792,x90793)+~P1(f295(x90792,x90794))+~P1(f295(f295(f297(x90791),x90794),f295(f160(x90791),x90793)))+P1(f295(f295(f297(x90791),f671(x90793,x90792,x90791,x90794)),f295(f160(x90791),x90793))) % 192.26/192.35 [9080]P32(x90801,x90802,x90803)+~P1(f295(x90802,x90804))+~P1(f295(f295(f297(x90801),x90804),f295(f160(x90801),x90803)))+P1(f295(f295(f297(x90801),f675(x90803,x90802,x90801,x90804)),f295(f160(x90801),x90803))) % 192.26/192.35 [9163]~P83(x91631)+E(f295(f295(f295(f66(x91631,x91632,f84(x91631)),x91633),f81(x91631)),x91634),f81(x91631))+~P1(f295(f62(x91632),x91634))+P1(f295(f295(f297(x91632),f574(x91633,x91634,x91632,x91631)),x91634)) % 192.26/192.35 [9639]~P1(f295(f295(f207(a1),x96394),f2(a1)))+P1(f295(f295(f207(a1),f295(f295(f83(a1),f295(f295(f84(a1),x96391),f46(a1,x96392,x96393))),x96394)),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x96393))+~P1(f295(f295(f208(a1),x96391),x96394)) % 192.26/192.35 [10077]~P1(f295(f62(x100771),x100772))+~P1(f295(f295(f297(x100771),x100774),x100772))+~P1(f295(f295(f297(x100771),x100773),x100772))+P1(f295(f295(f208(a902),f295(f39(x100771),f295(f295(f23(f911(x100771,a897)),f295(f295(f23(f911(x100771,a897)),x100772),f295(f295(f275(x100771),x100773),f176(f911(x100771,a897))))),f295(f295(f275(x100771),x100774),f176(f911(x100771,a897)))))),f295(f39(x100771),x100772))) % 192.26/192.35 [7078]~P110(x70781)+~P1(f295(f295(f207(x70781),x70782),x70784))+~P1(f295(f295(f207(x70781),x70782),x70783))+P1(f295(f295(f207(x70781),x70782),f295(f295(f108(x70781),x70783),x70784))) % 192.26/192.35 [7081]~P114(x70811)+~P1(f295(f295(f207(x70811),x70812),x70814))+~P1(f295(f295(f207(x70811),x70812),x70813))+P1(f295(f295(f207(x70811),x70812),f295(f295(f205(x70811),x70813),x70814))) % 192.26/192.35 [7082]~P114(x70821)+~P1(f295(f295(f208(x70821),x70822),x70824))+~P1(f295(f295(f208(x70821),x70822),x70823))+P1(f295(f295(f208(x70821),x70822),f295(f295(f205(x70821),x70823),x70824))) % 192.26/192.35 [7102]~P73(x71022)+E(x71021,f2(x71022))+E(f295(f295(f256(x71022),f295(f295(f218(x71022),x71021),x71023)),f295(f295(f218(x71022),x71021),x71024)),f295(f295(f218(x71022),x71021),f295(f295(f23(a902),x71023),x71024)))+~P1(f295(f295(f207(a902),x71024),x71023)) % 192.26/192.35 [7147]~P114(x71471)+~P12(x71471,f295(f295(f140(x71471),x71473),x71474))+P12(x71471,f295(f295(f140(x71471),x71472),f295(f295(f140(x71471),x71473),x71474)))+~P1(f295(f295(f207(x71471),x71472),x71473)) % 192.26/192.35 [7184]~P91(x71841)+~P1(f295(f295(f207(x71841),f2(x71841)),x71844))+~P1(f295(f295(f207(x71841),x71842),x71843))+P1(f295(f295(f207(x71841),x71842),f295(f295(f83(x71841),x71843),x71844))) % 192.26/192.35 [7185]~P91(x71851)+~P1(f295(f295(f207(x71851),f2(x71851)),x71853))+~P1(f295(f295(f207(x71851),x71852),x71854))+P1(f295(f295(f207(x71851),x71852),f295(f295(f83(x71851),x71853),x71854))) % 192.26/192.35 [7186]~P91(x71861)+~P1(f295(f295(f207(x71861),x71862),x71864))+~P1(f295(f295(f208(x71861),f2(x71861)),x71863))+P1(f295(f295(f208(x71861),x71862),f295(f295(f83(x71861),x71863),x71864))) % 192.26/192.35 [7187]~P91(x71871)+~P1(f295(f295(f207(x71871),f2(x71871)),x71873))+~P1(f295(f295(f208(x71871),x71872),x71874))+P1(f295(f295(f208(x71871),x71872),f295(f295(f83(x71871),x71873),x71874))) % 192.26/192.35 [7188]~P131(x71881)+~P1(f295(f295(f208(x71881),f2(x71881)),x71883))+~P1(f295(f295(f208(x71881),x71882),x71884))+P1(f295(f295(f208(x71881),x71882),f295(f295(f83(x71881),x71883),x71884))) % 192.26/192.35 [7230]~P114(x72301)+P1(f295(f295(f207(x72301),x72302),x72303))+P1(f295(f295(f207(x72301),x72302),x72304))+~P1(f295(f295(f207(x72301),x72302),f295(f295(f206(x72301),x72304),x72303))) % 192.26/192.35 [7231]~P114(x72311)+P1(f295(f295(f208(x72311),x72312),x72313))+P1(f295(f295(f208(x72311),x72312),x72314))+~P1(f295(f295(f208(x72311),x72312),f295(f295(f206(x72311),x72314),x72313))) % 192.26/192.35 [7525]~P116(x75252)+~P71(x75251)+~P1(f295(f295(f208(f911(x75251,x75252)),x75253),x75254))+P1(f295(f295(f207(f911(x75251,x75252)),x75253),x75254)) % 192.26/192.35 [7886]~P75(x78861)+~P1(f295(f295(f208(x78861),x78864),f2(x78861)))+~P1(f295(f295(f207(x78861),x78863),f295(f295(f256(x78861),x78862),x78864)))+P1(f295(f295(f207(x78861),x78862),f295(f295(f84(x78861),x78863),x78864))) % 192.26/192.35 [7887]~P75(x78871)+~P1(f295(f295(f208(x78871),x78874),f2(x78871)))+~P1(f295(f295(f207(x78871),x78873),f295(f295(f84(x78871),x78872),x78874)))+P1(f295(f295(f207(x78871),x78872),f295(f295(f256(x78871),x78873),x78874))) % 192.26/192.35 [7888]~P75(x78881)+~P1(f295(f295(f208(x78881),x78884),f2(x78881)))+~P1(f295(f295(f208(x78881),x78883),f295(f295(f256(x78881),x78882),x78884)))+P1(f295(f295(f208(x78881),x78882),f295(f295(f84(x78881),x78883),x78884))) % 192.26/192.35 [7889]~P75(x78891)+~P1(f295(f295(f208(x78891),x78894),f2(x78891)))+~P1(f295(f295(f208(x78891),x78893),f295(f295(f84(x78891),x78892),x78894)))+P1(f295(f295(f208(x78891),x78892),f295(f295(f256(x78891),x78893),x78894))) % 192.26/192.35 [7995]~P133(x79951)+~P1(f295(f295(f208(x79951),x79952),f2(x79951)))+~P1(f295(f295(f207(x79951),x79954),x79953))+P1(f295(f295(f207(x79951),f295(f295(f84(x79951),x79952),x79953)),f295(f295(f84(x79951),x79952),x79954))) % 192.26/192.35 [7996]~P141(x79961)+~P1(f295(f295(f207(x79961),x79962),f2(x79961)))+~P1(f295(f295(f207(x79961),x79964),x79963))+P1(f295(f295(f207(x79961),f295(f295(f84(x79961),x79962),x79963)),f295(f295(f84(x79961),x79962),x79964))) % 192.26/192.35 [7997]~P141(x79971)+~P1(f295(f295(f207(x79971),x79973),f2(x79971)))+~P1(f295(f295(f207(x79971),x79974),x79972))+P1(f295(f295(f207(x79971),f295(f295(f84(x79971),x79972),x79973)),f295(f295(f84(x79971),x79974),x79973))) % 192.26/192.35 [7998]~P74(x79981)+~P1(f295(f295(f207(x79981),x79983),f2(x79981)))+~P1(f295(f295(f207(x79981),x79984),x79982))+P1(f295(f295(f207(x79981),f295(f295(f256(x79981),x79982),x79983)),f295(f295(f256(x79981),x79984),x79983))) % 192.26/192.35 [8002]~P133(x80021)+~P1(f295(f295(f208(x80021),x80023),f2(x80021)))+~P1(f295(f295(f208(x80021),x80024),x80022))+P1(f295(f295(f208(x80021),f295(f295(f84(x80021),x80022),x80023)),f295(f295(f84(x80021),x80024),x80023))) % 192.26/192.35 [8003]~P133(x80031)+~P1(f295(f295(f208(x80031),x80032),f2(x80031)))+~P1(f295(f295(f208(x80031),x80034),x80033))+P1(f295(f295(f208(x80031),f295(f295(f84(x80031),x80032),x80033)),f295(f295(f84(x80031),x80032),x80034))) % 192.26/192.35 [8004]~P75(x80041)+~P1(f295(f295(f208(x80041),x80043),f2(x80041)))+~P1(f295(f295(f208(x80041),x80044),x80042))+P1(f295(f295(f208(x80041),f295(f295(f256(x80041),x80042),x80043)),f295(f295(f256(x80041),x80044),x80043))) % 192.26/192.35 [8005]~P131(x80051)+~P1(f295(f295(f208(x80051),f81(x80051)),x80052))+~P1(f295(f295(f207(a902),x80053),x80054))+P1(f295(f295(f207(x80051),f295(f295(f218(x80051),x80052),x80053)),f295(f295(f218(x80051),x80052),x80054))) % 192.26/192.35 [8006]~P131(x80061)+~P1(f295(f295(f207(x80061),f81(x80061)),x80062))+~P1(f295(f295(f207(a902),x80063),x80064))+P1(f295(f295(f207(x80061),f295(f295(f218(x80061),x80062),x80063)),f295(f295(f218(x80061),x80062),x80064))) % 192.26/192.35 [8008]~P131(x80081)+~P1(f295(f295(f208(x80081),f81(x80081)),x80082))+~P1(f295(f295(f208(a902),x80083),x80084))+P1(f295(f295(f208(x80081),f295(f295(f218(x80081),x80082),x80083)),f295(f295(f218(x80081),x80082),x80084))) % 192.26/192.35 [8035]P1(f295(f295(f208(a902),f2(a902)),f295(x80351,x80352)))+~P1(f295(f62(x80353),x80354))+~P1(f295(f295(f297(x80353),x80352),x80354))+~P1(f295(f295(f208(a902),f2(a902)),f295(f295(f9(x80353,a902),x80351),x80354))) % 192.26/192.35 [8044]~P131(x80441)+~P1(f295(f295(f207(x80441),x80442),x80444))+~P1(f295(f295(f207(x80441),f2(x80441)),x80442))+P1(f295(f295(f207(x80441),f295(f295(f218(x80441),x80442),x80443)),f295(f295(f218(x80441),x80444),x80443))) % 192.26/192.35 [8045]~P133(x80451)+~P1(f295(f295(f208(x80451),f2(x80451)),x80452))+~P1(f295(f295(f207(x80451),x80453),x80454))+P1(f295(f295(f207(x80451),f295(f295(f84(x80451),x80452),x80453)),f295(f295(f84(x80451),x80452),x80454))) % 192.26/192.35 [8046]~P143(x80461)+~P1(f295(f295(f207(x80461),x80463),x80464))+~P1(f295(f295(f207(x80461),f2(x80461)),x80462))+P1(f295(f295(f207(x80461),f295(f295(f84(x80461),x80462),x80463)),f295(f295(f84(x80461),x80462),x80464))) % 192.26/192.35 [8047]~P142(x80471)+~P1(f295(f295(f207(x80471),x80473),x80474))+~P1(f295(f295(f207(x80471),f2(x80471)),x80472))+P1(f295(f295(f207(x80471),f295(f295(f84(x80471),x80472),x80473)),f295(f295(f84(x80471),x80472),x80474))) % 192.26/192.35 [8048]~P143(x80481)+~P1(f295(f295(f207(x80481),x80482),x80484))+~P1(f295(f295(f207(x80481),f2(x80481)),x80483))+P1(f295(f295(f207(x80481),f295(f295(f84(x80481),x80482),x80483)),f295(f295(f84(x80481),x80484),x80483))) % 192.26/192.35 [8049]~P74(x80491)+~P1(f295(f295(f207(x80491),x80492),x80494))+~P1(f295(f295(f207(x80491),f2(x80491)),x80493))+P1(f295(f295(f207(x80491),f295(f295(f256(x80491),x80492),x80493)),f295(f295(f256(x80491),x80494),x80493))) % 192.26/192.35 [8051]~P128(x80511)+~P1(f295(f295(f208(x80511),x80513),x80514))+~P1(f295(f295(f208(x80511),f2(x80511)),x80512))+P1(f295(f295(f208(x80511),f295(f295(f84(x80511),x80512),x80513)),f295(f295(f84(x80511),x80512),x80514))) % 192.26/192.35 [8052]~P135(x80521)+~P1(f295(f295(f208(x80521),x80523),x80524))+~P1(f295(f295(f208(x80521),f2(x80521)),x80522))+P1(f295(f295(f208(x80521),f295(f295(f84(x80521),x80522),x80523)),f295(f295(f84(x80521),x80522),x80524))) % 192.26/192.35 [8053]~P133(x80531)+~P1(f295(f295(f208(x80531),x80532),x80534))+~P1(f295(f295(f208(x80531),f2(x80531)),x80533))+P1(f295(f295(f208(x80531),f295(f295(f84(x80531),x80532),x80533)),f295(f295(f84(x80531),x80534),x80533))) % 192.26/192.35 [8054]~P135(x80541)+~P1(f295(f295(f208(x80541),x80542),x80544))+~P1(f295(f295(f208(x80541),f2(x80541)),x80543))+P1(f295(f295(f208(x80541),f295(f295(f84(x80541),x80542),x80543)),f295(f295(f84(x80541),x80544),x80543))) % 192.26/192.35 [8055]~P133(x80551)+~P1(f295(f295(f208(x80551),x80553),x80554))+~P1(f295(f295(f208(x80551),f2(x80551)),x80552))+P1(f295(f295(f208(x80551),f295(f295(f84(x80551),x80552),x80553)),f295(f295(f84(x80551),x80552),x80554))) % 192.26/192.35 [8056]~P75(x80561)+~P1(f295(f295(f208(x80561),x80562),x80564))+~P1(f295(f295(f208(x80561),f2(x80561)),x80563))+P1(f295(f295(f208(x80561),f295(f295(f256(x80561),x80562),x80563)),f295(f295(f256(x80561),x80564),x80563))) % 192.26/192.35 [8099]~P113(x80992)+P1(f295(f295(f208(f911(x80991,x80992)),x80994),x80993))+~P1(f295(f295(f207(f911(x80991,x80992)),x80994),x80993))+P1(f295(f295(f207(f911(x80991,x80992)),x80993),x80994)) % 192.26/192.35 [8142]P1(f295(f295(f297(x81421),x81422),x81423))+P1(f295(f295(f297(x81421),x81422),x81424))+~P1(f295(f295(f207(f911(x81421,a897)),x81424),x81423))+P1(f295(f295(f208(f911(x81421,a897)),x81424),f295(f295(f275(x81421),x81422),x81423))) % 192.26/192.35 [8304]P1(f295(f295(f297(x83041),x83042),x83043))+P1(f295(f295(f297(x83041),x83042),x83044))+~P1(f295(f295(f208(f911(x83041,a897)),x83044),f295(f295(f275(x83041),x83042),x83043)))+P1(f295(f295(f207(f911(x83041,a897)),x83044),x83043)) % 192.26/192.35 [8372]~P133(x83721)+P1(f295(f295(f208(x83721),x83723),x83722))+P1(f295(f295(f208(x83721),x83722),x83723))+~P1(f295(f295(f208(x83721),f295(f295(f84(x83721),x83724),x83722)),f295(f295(f84(x83721),x83724),x83723))) % 192.26/192.35 [8373]~P133(x83731)+P1(f295(f295(f208(x83731),x83733),x83732))+P1(f295(f295(f208(x83731),x83732),x83733))+~P1(f295(f295(f208(x83731),f295(f295(f84(x83731),x83732),x83734)),f295(f295(f84(x83731),x83733),x83734))) % 192.26/192.35 [8384]~P133(x83841)+P1(f295(f295(f208(x83841),x83844),f2(x83841)))+P1(f295(f295(f208(x83841),x83842),x83843))+~P1(f295(f295(f208(x83841),f295(f295(f84(x83841),x83842),x83844)),f295(f295(f84(x83841),x83843),x83844))) % 192.26/192.35 [8385]~P133(x83851)+P1(f295(f295(f208(x83851),x83854),f2(x83851)))+P1(f295(f295(f208(x83851),x83852),x83853))+~P1(f295(f295(f208(x83851),f295(f295(f84(x83851),x83854),x83852)),f295(f295(f84(x83851),x83854),x83853))) % 192.26/192.35 [8389]~P133(x83891)+P1(f295(f295(f208(x83891),x83892),x83893))+P1(f295(f295(f208(x83891),f2(x83891)),x83894))+~P1(f295(f295(f208(x83891),f295(f295(f84(x83891),x83894),x83893)),f295(f295(f84(x83891),x83894),x83892))) % 192.26/192.35 [8390]~P133(x83901)+P1(f295(f295(f208(x83901),x83902),x83903))+P1(f295(f295(f208(x83901),f2(x83901)),x83904))+~P1(f295(f295(f208(x83901),f295(f295(f84(x83901),x83903),x83904)),f295(f295(f84(x83901),x83902),x83904))) % 192.26/192.35 [8403]~P133(x84031)+P1(f295(f295(f208(x84031),x84032),f2(x84031)))+P1(f295(f295(f208(x84031),f2(x84031)),x84032))+~P1(f295(f295(f208(x84031),f295(f295(f84(x84031),x84033),x84032)),f295(f295(f84(x84031),x84034),x84032))) % 192.26/192.35 [8404]~P133(x84041)+P1(f295(f295(f208(x84041),x84042),f2(x84041)))+P1(f295(f295(f208(x84041),f2(x84041)),x84042))+~P1(f295(f295(f208(x84041),f295(f295(f84(x84041),x84042),x84043)),f295(f295(f84(x84041),x84042),x84044))) % 192.26/192.35 [8435]~P133(x84351)+~P1(f295(f295(f208(x84351),x84354),f2(x84351)))+P1(f295(f295(f207(x84351),x84352),x84353))+~P1(f295(f295(f207(x84351),f295(f295(f84(x84351),x84354),x84353)),f295(f295(f84(x84351),x84354),x84352))) % 192.26/192.35 [8436]~P133(x84361)+~P1(f295(f295(f208(x84361),x84364),f2(x84361)))+P1(f295(f295(f208(x84361),x84362),x84363))+~P1(f295(f295(f208(x84361),f295(f295(f84(x84361),x84364),x84363)),f295(f295(f84(x84361),x84364),x84362))) % 192.26/192.35 [8447]~P131(x84473)+~P1(f295(f295(f208(x84473),f81(x84473)),x84474))+P1(f295(f295(f207(a902),x84471),x84472))+~P1(f295(f295(f207(x84473),f295(f295(f218(x84473),x84474),x84471)),f295(f295(f218(x84473),x84474),x84472))) % 192.26/192.35 [8449]~P131(x84493)+~P1(f295(f295(f208(x84493),f81(x84493)),x84494))+P1(f295(f295(f208(a902),x84491),x84492))+~P1(f295(f295(f208(x84493),f295(f295(f218(x84493),x84494),x84491)),f295(f295(f218(x84493),x84494),x84492))) % 192.26/192.35 [8459]~P133(x84591)+P1(f295(f295(f207(x84591),x84592),x84593))+~P1(f295(f295(f208(x84591),f2(x84591)),x84594))+~P1(f295(f295(f207(x84591),f295(f295(f84(x84591),x84594),x84592)),f295(f295(f84(x84591),x84594),x84593))) % 192.26/192.35 [8460]~P135(x84601)+P1(f295(f295(f207(x84601),x84602),x84603))+~P1(f295(f295(f208(x84601),f2(x84601)),x84604))+~P1(f295(f295(f207(x84601),f295(f295(f84(x84601),x84604),x84602)),f295(f295(f84(x84601),x84604),x84603))) % 192.26/192.35 [8461]~P135(x84611)+P1(f295(f295(f207(x84611),x84612),x84613))+~P1(f295(f295(f208(x84611),f2(x84611)),x84614))+~P1(f295(f295(f207(x84611),f295(f295(f84(x84611),x84612),x84614)),f295(f295(f84(x84611),x84613),x84614))) % 192.26/192.35 [8462]~P133(x84621)+P1(f295(f295(f208(x84621),x84622),x84623))+~P1(f295(f295(f208(x84621),f2(x84621)),x84624))+~P1(f295(f295(f208(x84621),f295(f295(f84(x84621),x84624),x84622)),f295(f295(f84(x84621),x84624),x84623))) % 192.26/192.35 [8463]~P135(x84631)+P1(f295(f295(f208(x84631),x84632),x84633))+~P1(f295(f295(f207(x84631),f2(x84631)),x84634))+~P1(f295(f295(f208(x84631),f295(f295(f84(x84631),x84634),x84632)),f295(f295(f84(x84631),x84634),x84633))) % 192.26/192.35 [8464]~P136(x84641)+P1(f295(f295(f208(x84641),x84642),x84643))+~P1(f295(f295(f207(x84641),f2(x84641)),x84644))+~P1(f295(f295(f208(x84641),f295(f295(f84(x84641),x84644),x84642)),f295(f295(f84(x84641),x84644),x84643))) % 192.26/192.35 [8465]~P131(x84651)+~P1(f295(f295(f207(x84651),f2(x84651)),x84653))+P1(f295(f295(f208(x84651),x84652),x84653))+~P1(f295(f295(f208(x84651),f295(f295(f218(x84651),x84652),x84654)),f295(f295(f218(x84651),x84653),x84654))) % 192.26/192.35 [8466]~P135(x84661)+P1(f295(f295(f208(x84661),x84662),x84663))+~P1(f295(f295(f207(x84661),f2(x84661)),x84664))+~P1(f295(f295(f208(x84661),f295(f295(f84(x84661),x84662),x84664)),f295(f295(f84(x84661),x84663),x84664))) % 192.26/192.35 [8467]~P136(x84671)+P1(f295(f295(f208(x84671),x84672),x84673))+~P1(f295(f295(f207(x84671),f2(x84671)),x84674))+~P1(f295(f295(f208(x84671),f295(f295(f84(x84671),x84672),x84674)),f295(f295(f84(x84671),x84673),x84674))) % 192.26/192.35 [8505]P1(f295(f295(f297(x85051),x85052),x85053))+~P1(f295(f295(f207(f911(x85051,a897)),x85053),x85054))+~P1(f295(f295(f208(f911(x85051,a897)),x85053),x85054))+P1(f295(f295(f208(f911(x85051,a897)),x85053),f295(f295(f275(x85051),x85052),x85054))) % 192.26/192.35 [8902]E(f295(f295(f23(a1),f506(x89021,x89022,x89023,x89024)),f507(x89021,x89022,x89023,x89024)),x89024)+~P1(f295(f295(f208(a1),f2(a1)),x89023))+~P1(f295(f295(f207(a1),x89021),x89024))+P1(f295(f295(f207(a1),x89021),f295(f295(f83(a1),x89024),x89023))) % 192.26/192.35 [8903]E(f295(f295(f23(a1),f518(x89031,x89032,x89033,x89034)),f519(x89031,x89032,x89033,x89034)),x89034)+~P1(f295(f295(f208(a1),f2(a1)),x89033))+~P1(f295(f295(f208(a1),x89031),x89034))+P1(f295(f295(f208(a1),x89031),f295(f295(f83(a1),x89034),x89033))) % 192.26/192.35 [9058]~E(f295(f295(f153(x90581),x90583),f690(x90584,x90583,x90581,x90582)),f295(f295(f153(x90581),x90584),f690(x90584,x90583,x90581,x90582)))+E(f295(f295(f161(x90581),x90582),x90583),f295(f295(f161(x90581),x90582),x90584))+~P1(f295(f295(f207(a902),x90582),f295(f177(f903(x90581)),x90583)))+~P1(f295(f295(f207(a902),x90582),f295(f177(f903(x90581)),x90584))) % 192.26/192.35 [9126]~P1(f295(f295(f208(a1),f2(a1)),x91263))+~P1(f295(f295(f207(a1),x91261),x91264))+P1(f295(f295(f297(a1),f506(x91261,x91262,x91263,x91264)),x91262))+P1(f295(f295(f207(a1),x91261),f295(f295(f83(a1),x91264),x91263))) % 192.26/192.35 [9127]~P1(f295(f295(f208(a1),f2(a1)),x91273))+~P1(f295(f295(f208(a1),x91271),x91274))+P1(f295(f295(f297(a1),f518(x91271,x91272,x91273,x91274)),x91272))+P1(f295(f295(f208(a1),x91271),f295(f295(f83(a1),x91274),x91273))) % 192.26/192.35 [9173]~P110(x91731)+~P1(f295(f62(x91731),x91733))+~P1(f295(f295(f297(x91731),x91734),x91733))+P1(f295(f295(f207(x91731),f295(f295(f65(x91731,x91731,f108(x91731)),x91732),x91733)),f295(f295(f108(x91731),x91734),x91732))) % 192.26/192.35 [9174]~P114(x91741)+~P1(f295(f62(x91741),x91743))+~P1(f295(f295(f297(x91741),x91744),x91743))+P1(f295(f295(f207(x91741),f295(f295(f65(x91741,x91741,f205(x91741)),x91742),x91743)),f295(f295(f205(x91741),x91744),x91742))) % 192.26/192.35 [9218]E(f295(f295(f161(x92181),x92182),x92183),f295(f295(f161(x92181),x92182),x92184))+P1(f295(f295(f208(a902),f690(x92183,x92184,x92181,x92182)),x92182))+~P1(f295(f295(f207(a902),x92182),f295(f177(f903(x92181)),x92183)))+~P1(f295(f295(f207(a902),x92182),f295(f177(f903(x92181)),x92184))) % 192.26/192.35 [9223]~P1(f295(f295(f208(a1),f2(a1)),x92233))+~P1(f295(f295(f207(a1),x92231),x92232))+P1(f295(f295(f297(a1),f507(x92231,x92234,x92233,x92232)),f269(a1,f81(a1),x92233)))+P1(f295(f295(f207(a1),x92231),f295(f295(f83(a1),x92232),x92233))) % 192.26/192.35 [9224]~P1(f295(f295(f208(a1),f2(a1)),x92243))+~P1(f295(f295(f208(a1),x92241),x92242))+P1(f295(f295(f297(a1),f519(x92241,x92244,x92243,x92242)),f269(a1,f81(a1),x92243)))+P1(f295(f295(f208(a1),x92241),f295(f295(f83(a1),x92242),x92243))) % 192.26/192.35 [9534]~P114(x95341)+~P1(f295(f62(x95341),x95344))+P1(f295(f295(f297(x95341),f821(x95342,x95343,x95344,x95341)),x95344))+P1(f295(f295(f207(x95341),f295(f295(f65(x95341,x95341,f206(x95341)),x95342),x95344)),f295(f295(f206(x95341),x95343),x95342))) % 192.26/192.35 [9535]~P109(x95351)+~P1(f295(f62(x95351),x95354))+P1(f295(f295(f297(x95351),f825(x95352,x95353,x95354,x95351)),x95354))+P1(f295(f295(f207(x95351),f295(f295(f65(x95351,x95351,f117(x95351)),x95352),x95354)),f295(f295(f117(x95351),x95353),x95352))) % 192.26/192.35 [9654]~P109(x96541)+~P1(f295(f62(x96541),x96543))+~P1(f295(f295(f207(x96541),f825(x96542,x96544,x96543,x96541)),x96544))+P1(f295(f295(f207(x96541),f295(f295(f65(x96541,x96541,f117(x96541)),x96542),x96543)),f295(f295(f117(x96541),x96544),x96542))) % 192.26/192.35 [9655]~P114(x96551)+~P1(f295(f62(x96551),x96553))+~P1(f295(f295(f207(x96551),f821(x96552,x96554,x96553,x96551)),x96554))+P1(f295(f295(f207(x96551),f295(f295(f65(x96551,x96551,f206(x96551)),x96552),x96553)),f295(f295(f206(x96551),x96554),x96552))) % 192.26/192.35 [9657]~P1(f295(f295(f207(a1),f2(a1)),x96574))+~P1(f295(f295(f208(a1),f2(a1)),x96573))+~P1(f295(f295(f208(a1),x96574),x96571))+P1(f295(f295(f208(a1),f295(f295(f83(a1),f295(f295(f84(a1),x96571),f46(a1,x96572,x96573))),x96574)),f295(f295(f84(a1),x96571),x96573))) % 192.26/192.35 [10047]E(x100471,x100472)+P1(f295(f295(f297(f910(f903(x100473),f903(x100473))),f295(f295(f217(f903(x100473),f903(x100473)),x100472),x100471)),f136(x100473,x100474)))+P1(f295(f295(f297(f910(f903(x100473),f903(x100473))),f295(f295(f217(f903(x100473),f903(x100473)),x100471),x100472)),f136(x100473,x100474)))+~P1(f295(f295(f297(f910(x100473,x100473)),f295(f295(f217(x100473,x100473),f682(x100471,x100472,x100474,x100473)),f683(x100471,x100472,x100474,x100473))),x100474)) % 192.26/192.35 [10048]E(x100481,x100482)+P1(f295(f295(f297(f910(f903(x100483),f903(x100483))),f295(f295(f217(f903(x100483),f903(x100483)),x100482),x100481)),f136(x100483,x100484)))+P1(f295(f295(f297(f910(f903(x100483),f903(x100483))),f295(f295(f217(f903(x100483),f903(x100483)),x100481),x100482)),f136(x100483,x100484)))+~P1(f295(f295(f297(f910(x100483,x100483)),f295(f295(f217(x100483,x100483),f683(x100481,x100482,x100484,x100483)),f682(x100481,x100482,x100484,x100483))),x100484)) % 192.26/192.35 [7591]~P109(x75911)+~P1(f295(f295(f207(x75911),x75913),x75914))+~P1(f295(f295(f207(x75911),x75912),x75914))+P1(f295(f295(f207(x75911),f295(f295(f117(x75911),x75912),x75913)),x75914)) % 192.26/192.35 [7594]~P114(x75941)+~P1(f295(f295(f207(x75941),x75943),x75944))+~P1(f295(f295(f207(x75941),x75942),x75944))+P1(f295(f295(f207(x75941),f295(f295(f206(x75941),x75942),x75943)),x75944)) % 192.26/192.35 [7595]~P114(x75951)+~P1(f295(f295(f208(x75951),x75953),x75954))+~P1(f295(f295(f208(x75951),x75952),x75954))+P1(f295(f295(f208(x75951),f295(f295(f206(x75951),x75952),x75953)),x75954)) % 192.26/192.35 [7910]~E(x79101,x79103)+E(f128(a902,f295(f268(a902,x79101),x79102)),f295(f295(f140(a902),x79103),x79104))+~E(f128(a902,f295(f268(a902,f295(f295(f83(a902),x79101),f81(a902))),x79102)),x79104)+~P1(f295(f295(f208(a902),x79101),x79102)) % 192.26/192.35 [7920]~P114(x79201)+P1(f295(f295(f207(x79201),x79202),x79203))+P1(f295(f295(f207(x79201),x79204),x79203))+~P1(f295(f295(f207(x79201),f295(f295(f205(x79201),x79204),x79202)),x79203)) % 192.26/192.35 [7921]~P114(x79211)+P1(f295(f295(f208(x79211),x79212),x79213))+P1(f295(f295(f208(x79211),x79214),x79213))+~P1(f295(f295(f208(x79211),f295(f295(f205(x79211),x79214),x79212)),x79213)) % 192.26/192.35 [8207]~P74(x82071)+~P1(f295(f295(f208(x82071),f2(x82071)),x82073))+~P1(f295(f295(f207(x82071),x82072),f295(f295(f256(x82071),x82074),x82073)))+P1(f295(f295(f207(x82071),f295(f295(f84(x82071),x82072),x82073)),x82074)) % 192.26/192.35 [8208]~P75(x82081)+~P1(f295(f295(f208(x82081),f2(x82081)),x82083))+~P1(f295(f295(f207(x82081),x82082),f295(f295(f256(x82081),x82084),x82083)))+P1(f295(f295(f207(x82081),f295(f295(f84(x82081),x82082),x82083)),x82084)) % 192.26/192.35 [8209]~P74(x82091)+~P1(f295(f295(f208(x82091),f2(x82091)),x82093))+~P1(f295(f295(f207(x82091),x82092),f295(f295(f84(x82091),x82094),x82093)))+P1(f295(f295(f207(x82091),f295(f295(f256(x82091),x82092),x82093)),x82094)) % 192.26/192.35 [8211]~P75(x82111)+~P1(f295(f295(f208(x82111),f2(x82111)),x82113))+~P1(f295(f295(f207(x82111),x82112),f295(f295(f84(x82111),x82114),x82113)))+P1(f295(f295(f207(x82111),f295(f295(f256(x82111),x82112),x82113)),x82114)) % 192.26/192.35 [8212]~P74(x82121)+~P1(f295(f295(f208(x82121),f2(x82121)),x82123))+~P1(f295(f295(f208(x82121),x82122),f295(f295(f256(x82121),x82124),x82123)))+P1(f295(f295(f208(x82121),f295(f295(f84(x82121),x82122),x82123)),x82124)) % 192.26/192.35 [8213]~P75(x82131)+~P1(f295(f295(f208(x82131),f2(x82131)),x82133))+~P1(f295(f295(f208(x82131),x82132),f295(f295(f256(x82131),x82134),x82133)))+P1(f295(f295(f208(x82131),f295(f295(f84(x82131),x82132),x82133)),x82134)) % 192.26/192.35 [8214]~P74(x82141)+~P1(f295(f295(f208(x82141),f2(x82141)),x82143))+~P1(f295(f295(f208(x82141),x82142),f295(f295(f84(x82141),x82144),x82143)))+P1(f295(f295(f208(x82141),f295(f295(f256(x82141),x82142),x82143)),x82144)) % 192.26/192.35 [8216]~P75(x82161)+~P1(f295(f295(f208(x82161),f2(x82161)),x82163))+~P1(f295(f295(f208(x82161),x82162),f295(f295(f84(x82161),x82164),x82163)))+P1(f295(f295(f208(x82161),f295(f295(f256(x82161),x82162),x82163)),x82164)) % 192.26/192.35 [8341]~P74(x83411)+~P1(f295(f295(f208(x83411),f2(x83411)),x83414))+P1(f295(f295(f207(x83411),x83412),f295(f295(f84(x83411),x83413),x83414)))+~P1(f295(f295(f207(x83411),f295(f295(f256(x83411),x83412),x83414)),x83413)) % 192.26/192.35 [8342]~P74(x83421)+~P1(f295(f295(f208(x83421),f2(x83421)),x83424))+P1(f295(f295(f207(x83421),x83422),f295(f295(f256(x83421),x83423),x83424)))+~P1(f295(f295(f207(x83421),f295(f295(f84(x83421),x83422),x83424)),x83423)) % 192.26/192.35 [8344]~P75(x83441)+~P1(f295(f295(f208(x83441),f2(x83441)),x83444))+P1(f295(f295(f207(x83441),x83442),f295(f295(f84(x83441),x83443),x83444)))+~P1(f295(f295(f207(x83441),f295(f295(f256(x83441),x83442),x83444)),x83443)) % 192.26/192.35 [8345]~P75(x83451)+~P1(f295(f295(f208(x83451),f2(x83451)),x83454))+P1(f295(f295(f207(x83451),x83452),f295(f295(f256(x83451),x83453),x83454)))+~P1(f295(f295(f207(x83451),f295(f295(f84(x83451),x83452),x83454)),x83453)) % 192.26/192.35 [8346]~P74(x83461)+~P1(f295(f295(f208(x83461),f2(x83461)),x83464))+P1(f295(f295(f208(x83461),x83462),f295(f295(f84(x83461),x83463),x83464)))+~P1(f295(f295(f208(x83461),f295(f295(f256(x83461),x83462),x83464)),x83463)) % 192.26/192.35 [8347]~P74(x83471)+~P1(f295(f295(f208(x83471),f2(x83471)),x83474))+P1(f295(f295(f208(x83471),x83472),f295(f295(f256(x83471),x83473),x83474)))+~P1(f295(f295(f208(x83471),f295(f295(f84(x83471),x83472),x83474)),x83473)) % 192.26/192.35 [8349]~P75(x83491)+~P1(f295(f295(f208(x83491),f2(x83491)),x83494))+P1(f295(f295(f208(x83491),x83492),f295(f295(f84(x83491),x83493),x83494)))+~P1(f295(f295(f208(x83491),f295(f295(f256(x83491),x83492),x83494)),x83493)) % 192.26/192.35 [8350]~P75(x83501)+~P1(f295(f295(f208(x83501),f2(x83501)),x83504))+P1(f295(f295(f208(x83501),x83502),f295(f295(f256(x83501),x83503),x83504)))+~P1(f295(f295(f208(x83501),f295(f295(f84(x83501),x83502),x83504)),x83503)) % 192.26/192.35 [8509]~P75(x85091)+~P1(f295(f295(f208(x85091),x85093),f2(x85091)))+~P1(f295(f295(f207(x85091),f295(f295(f256(x85091),x85094),x85093)),x85092))+P1(f295(f295(f207(x85091),f295(f295(f84(x85091),x85092),x85093)),x85094)) % 192.26/192.35 [8510]~P75(x85101)+~P1(f295(f295(f208(x85101),x85103),f2(x85101)))+~P1(f295(f295(f207(x85101),f295(f295(f84(x85101),x85104),x85103)),x85102))+P1(f295(f295(f207(x85101),f295(f295(f256(x85101),x85102),x85103)),x85104)) % 192.26/192.35 [8511]~P75(x85111)+~P1(f295(f295(f208(x85111),x85113),f2(x85111)))+~P1(f295(f295(f208(x85111),f295(f295(f256(x85111),x85114),x85113)),x85112))+P1(f295(f295(f208(x85111),f295(f295(f84(x85111),x85112),x85113)),x85114)) % 192.26/192.35 [8512]~P75(x85121)+~P1(f295(f295(f208(x85121),x85123),f2(x85121)))+~P1(f295(f295(f208(x85121),f295(f295(f84(x85121),x85124),x85123)),x85122))+P1(f295(f295(f208(x85121),f295(f295(f256(x85121),x85122),x85123)),x85124)) % 192.26/192.35 [8525]~P1(f295(x85251,x85254))+~P1(f295(f295(f208(a902),x85252),f295(f295(f84(a902),x85253),f295(a119,x85254))))+P1(f295(x85251,f295(f295(f40(a902),x85252),x85253)))+~P1(f295(f295(f207(a902),f295(f295(f84(a902),x85253),x85254)),x85252)) % 192.26/192.35 [8739]~P109(x87391)+~P1(f295(f62(x87391),x87394))+~P1(f295(f295(f297(x87391),x87392),x87394))+P1(f295(f295(f207(x87391),f295(f295(f117(x87391),x87392),x87393)),f295(f295(f65(x87391,x87391,f117(x87391)),x87393),x87394))) % 192.26/192.35 [8740]~P114(x87401)+~P1(f295(f62(x87401),x87404))+~P1(f295(f295(f297(x87401),x87402),x87404))+P1(f295(f295(f207(x87401),f295(f295(f206(x87401),x87402),x87403)),f295(f295(f65(x87401,x87401,f206(x87401)),x87403),x87404))) % 192.26/192.35 [8904]~P1(f295(f62(x89041),x89042))+E(f295(f39(x89041),f295(f295(f23(f911(x89041,a897)),x89042),f295(f295(f275(x89041),x89043),x89044))),f295(f295(f23(a902),f295(f39(x89041),f295(f295(f23(f911(x89041,a897)),x89042),x89044))),f81(a902)))+P1(f295(f295(f297(x89041),x89043),x89044))+~P1(f295(f295(f297(x89041),x89043),x89042)) % 192.26/192.35 [8982]E(f295(f295(f83(a1),f512(x89821,x89822,x89823,x89824)),f513(x89821,x89822,x89823,x89824)),x89824)+~P1(f295(f295(f208(a1),f2(a1)),x89823))+~P1(f295(f295(f207(a1),x89824),x89821))+P1(f295(f295(f207(a1),f295(f295(f23(a1),x89824),x89823)),x89821)) % 192.26/192.35 [8983]E(f295(f295(f83(a1),f530(x89831,x89832,x89833,x89834)),f520(x89831,x89832,x89833,x89834)),x89834)+~P1(f295(f295(f208(a1),f2(a1)),x89833))+~P1(f295(f295(f208(a1),x89834),x89831))+P1(f295(f295(f208(a1),f295(f295(f23(a1),x89834),x89833)),x89831)) % 192.26/192.35 [9207]~P1(f295(f295(f208(a1),f2(a1)),x92073))+~P1(f295(f295(f207(a1),x92074),x92071))+P1(f295(f295(f297(a1),f512(x92071,x92072,x92073,x92074)),x92072))+P1(f295(f295(f207(a1),f295(f295(f23(a1),x92074),x92073)),x92071)) % 192.26/192.35 [9208]~P1(f295(f295(f208(a1),f2(a1)),x92083))+~P1(f295(f295(f208(a1),x92084),x92081))+P1(f295(f295(f297(a1),f530(x92081,x92082,x92083,x92084)),x92082))+P1(f295(f295(f208(a1),f295(f295(f23(a1),x92084),x92083)),x92081)) % 192.26/192.35 [9287]~P1(f295(f295(f208(a1),f2(a1)),x92872))+~P1(f295(f295(f207(a1),x92871),x92873))+P1(f295(f295(f297(a1),f513(x92873,x92874,x92872,x92871)),f269(a1,f81(a1),x92872)))+P1(f295(f295(f207(a1),f295(f295(f23(a1),x92871),x92872)),x92873)) % 192.26/192.35 [9288]~P1(f295(f295(f208(a1),f2(a1)),x92882))+~P1(f295(f295(f208(a1),x92881),x92883))+P1(f295(f295(f297(a1),f520(x92883,x92884,x92882,x92881)),f269(a1,f81(a1),x92882)))+P1(f295(f295(f208(a1),f295(f295(f23(a1),x92881),x92882)),x92883)) % 192.26/192.35 [9303]~P1(f295(f295(f207(a1),f2(a1)),x93034))+~P1(f295(f295(f208(a1),f2(a1)),x93033))+~P1(f295(f295(f208(a1),x93034),x93031))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),f295(f295(f84(a1),x93031),f46(a1,x93032,x93033))),x93034))) % 192.26/192.35 [9334]E(x93341,x93342)+~P39(x93343,x93344)+~P1(f295(f295(f297(f910(x93343,x93343)),f295(f295(f217(x93343,x93343),x93342),x93341)),x93344))+~P1(f295(f295(f297(f910(x93343,x93343)),f295(f295(f217(x93343,x93343),x93341),x93342)),x93344)) % 192.26/192.35 [9366]~P110(x93661)+~P1(f295(f62(x93661),x93664))+~P1(f295(f295(f207(x93661),x93662),f819(x93663,x93662,x93664,x93661)))+P1(f295(f295(f207(x93661),f295(f295(f108(x93661),x93662),x93663)),f295(f295(f65(x93661,x93661,f108(x93661)),x93663),x93664))) % 192.26/192.35 [9367]~P114(x93671)+~P1(f295(f62(x93671),x93674))+~P1(f295(f295(f207(x93671),x93672),f820(x93673,x93672,x93674,x93671)))+P1(f295(f295(f207(x93671),f295(f295(f205(x93671),x93672),x93673)),f295(f295(f65(x93671,x93671,f205(x93671)),x93673),x93674))) % 192.26/192.35 [9381]~P1(f295(f295(f207(a1),x93814),f2(a1)))+~P1(f295(f295(f208(a1),f2(a1)),x93812))+~P1(f295(f295(f208(a1),x93811),x93814))+P1(f295(f295(f208(a1),f295(f295(f84(a1),x93811),x93812)),f295(f295(f83(a1),f295(f295(f84(a1),x93811),f46(a1,x93813,x93812))),x93814))) % 192.26/192.35 [9400]P1(f295(f62(x94001),x94002))+~P1(f295(f62(x94001),x94003))+~P1(f295(f295(f297(f911(x94001,a897)),x94002),f295(f295(f61(x94001),x94003),x94004)))+~P1(f295(f295(f207(f911(f910(x94001,x94001),a897)),x94004),f295(f295(f226(x94001,x94001),x94003),f295(f16(f911(x94001,a897),x94001),x94003)))) % 192.26/192.35 [9431]~P114(x94311)+~P1(f295(f62(x94311),x94314))+P1(f295(f295(f297(x94311),f820(x94312,x94313,x94314,x94311)),x94314))+P1(f295(f295(f207(x94311),f295(f295(f205(x94311),x94313),x94312)),f295(f295(f65(x94311,x94311,f205(x94311)),x94312),x94314))) % 192.26/192.35 [9432]~P110(x94321)+~P1(f295(f62(x94321),x94324))+P1(f295(f295(f297(x94321),f819(x94322,x94323,x94324,x94321)),x94324))+P1(f295(f295(f207(x94321),f295(f295(f108(x94321),x94323),x94322)),f295(f295(f65(x94321,x94321,f108(x94321)),x94322),x94324))) % 192.26/192.35 [9821]~P1(f295(f62(x98212),x98214))+~P1(f295(f62(x98211),x98213))+~P1(f295(f295(f207(a902),f295(f39(x98212),x98214)),f295(f39(x98211),x98213)))+P1(f295(f295(f207(f911(x98211,a897)),f295(f276(x98212,x98211,f419(x98213,x98211,x98214,x98212)),x98214)),x98213)) % 192.26/192.35 [9477]~P1(f295(f295(f297(x94771),x94772),x94774))+P1(f295(f295(f297(x94771),x94772),x94773))+~P1(f295(f295(f208(f911(x94771,a897)),x94774),f295(f295(f275(x94771),x94772),x94773)))+P1(f295(f295(f208(f911(x94771,a897)),f295(f295(f23(f911(x94771,a897)),x94774),f295(f295(f275(x94771),x94772),f176(f911(x94771,a897))))),x94773)) % 192.26/192.35 [9636]~P1(f295(f295(f297(x96361),x96362),x96364))+P1(f295(f295(f297(x96361),x96362),x96363))+P1(f295(f295(f208(f911(x96361,a897)),x96364),f295(f295(f275(x96361),x96362),x96363)))+~P1(f295(f295(f208(f911(x96361,a897)),f295(f295(f23(f911(x96361,a897)),x96364),f295(f295(f275(x96361),x96362),f176(f911(x96361,a897))))),x96363)) % 192.26/192.35 [9659]P1(f295(f295(f297(x96591),x96592),x96593))+~P1(f295(f295(f207(f911(x96591,a897)),x96594),x96593))+P1(f295(f295(f208(f911(x96591,a897)),x96594),f295(f295(f275(x96591),x96592),x96593)))+~P1(f295(f295(f208(f911(x96591,a897)),f295(f295(f23(f911(x96591,a897)),x96594),f295(f295(f275(x96591),x96592),f176(f911(x96591,a897))))),x96593)) % 192.26/192.35 [9664]~P1(f295(f295(f297(x96641),x96643),x96642))+~P1(f295(f295(f208(f911(x96641,a897)),x96642),x96644))+P1(f295(f295(f208(f911(x96641,a897)),x96642),f295(f295(f275(x96641),x96643),x96644)))+~P1(f295(f295(f208(f911(x96641,a897)),f295(f295(f23(f911(x96641,a897)),x96642),f295(f295(f275(x96641),x96643),f176(f911(x96641,a897))))),x96644)) % 192.26/192.35 [9676]~P1(f295(f295(f207(f911(x96761,a897)),x96762),x96764))+~P1(f295(f295(f208(f911(x96761,a897)),x96762),x96764))+P1(f295(f295(f208(f911(x96761,a897)),x96762),f295(f295(f275(x96761),x96763),x96764)))+~P1(f295(f295(f208(f911(x96761,a897)),f295(f295(f23(f911(x96761,a897)),x96762),f295(f295(f275(x96761),x96763),f176(f911(x96761,a897))))),x96764)) % 192.26/192.35 [9725]~P116(x97252)+~P71(x97251)+~P1(f295(f295(f207(f911(x97251,x97252)),x97253),x97254))+P1(f295(f58(x97251),f295(f295(f18(x97251,x97252,a897),f295(f295(f8(x97252,f911(x97252,a897),x97251),f207(x97252)),x97253)),x97254))) % 192.26/192.35 [9875]~P116(x98752)+~P71(x98751)+P1(f295(f295(f207(f911(x98751,x98752)),x98753),x98754))+~P1(f295(f58(x98751),f295(f295(f18(x98751,x98752,a897),f295(f295(f8(x98752,f911(x98752,a897),x98751),f207(x98752)),x98753)),x98754))) % 192.26/192.35 [10038]E(f295(f295(f153(x100381),f295(f295(f153(f903(x100381)),f166(x100381,x100382)),x100383)),x100384),f295(f295(f153(x100381),f295(f295(f153(f903(x100381)),x100382),x100384)),x100383))+~P1(f295(f295(f208(a902),x100383),f295(f177(f903(f903(x100381))),f166(x100381,x100382))))+~P12(a902,f295(f157(a902),f295(f295(f143(f903(x100381),a902),f177(f903(x100381))),x100382)))+~P1(f295(f295(f208(a902),x100384),f295(f177(f903(f903(x100381))),f295(f125(f903(x100381),f295(f295(f8(a902,a897,f903(x100381)),f295(f208(a902),x100383)),f177(f903(x100381)))),x100382)))) % 192.26/192.35 [10061]~P1(f295(f295(f297(f910(a902,a902)),x100614),x100611))+~P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),x100614),x100612)),a72))+~P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x100611),x100613)),a73))+P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x100611),f295(f295(f275(f910(a902,a902)),x100612),x100613))),a73)) % 192.26/192.35 [10062]~P1(f295(f295(f297(f910(a902,a902)),x100624),x100621))+~P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),x100624),x100622)),a37))+~P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x100621),x100623)),a70))+P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x100621),f295(f295(f275(f910(a902,a902)),x100622),x100623))),a70)) % 192.26/192.35 [9948]~P116(x99482)+~P71(x99481)+~P1(f295(f295(f208(f911(x99481,x99482)),x99483),x99484))+P1(f295(f57(x99481),f295(f295(f8(a897,a897,x99481),a291),f295(f295(f18(x99481,x99482,a897),f295(f295(f8(x99482,f911(x99482,a897),x99481),a292),x99483)),x99484)))) % 192.26/192.35 [10073]~P1(f295(f295(f297(f910(a902,a902)),x100734),x100733))+~P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),x100731),x100734)),a37))+~P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x100732),x100733)),a38))+P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),f295(f295(f275(f910(a902,a902)),x100731),x100732)),x100733)),a38)) % 192.26/192.35 [10074]~P1(f295(f295(f297(f910(a902,a902)),x100744),x100743))+~P1(f295(f295(f297(f910(f910(a902,a902),f910(a902,a902))),f295(f295(f217(f910(a902,a902),f910(a902,a902)),x100741),x100744)),a72))+~P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),x100742),x100743)),a71))+P1(f295(f295(f297(f910(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897))),f295(f295(f217(f911(f910(a902,a902),a897),f911(f910(a902,a902),a897)),f295(f295(f275(f910(a902,a902)),x100741),x100742)),x100743)),a71)) % 192.26/192.35 [6196]~P45(x61964,x61961)+~P1(f295(f295(x61961,x61962),x61965))+P1(f295(f295(x61961,x61962),x61963))+~P1(f295(f295(x61961,x61965),x61963)) % 192.26/192.35 [6197]~P14(x61974,x61971)+~P1(f295(f295(x61971,x61972),x61975))+P1(f295(f295(x61971,x61972),x61973))+~P1(f295(f295(x61971,x61975),x61973)) % 192.26/192.35 [6198]~P8(x61984,x61981)+~P1(f295(f295(x61981,x61982),x61985))+P1(f295(f295(x61981,x61982),x61983))+~P1(f295(f295(x61981,x61985),x61983)) % 192.26/192.35 [8885]~P8(x88854,x88853)+~P1(f295(x88851,x88855))+P1(f295(x88852,f340(x88852,x88851,x88853,x88854)))+P1(f295(x88851,f339(x88852,x88851,x88853,x88854))) % 192.26/192.35 [9129]~P8(x91295,x91294)+P1(f295(x91291,x91292))+~P1(f295(x91293,f801(x91291,x91293,x91294,x91295)))+P1(f295(x91293,f789(x91291,x91293,x91294,x91295))) % 192.26/192.35 [9134]~P8(x91344,x91343)+~P1(f295(x91342,x91345))+~P1(f295(x91341,f339(x91341,x91342,x91343,x91344)))+P1(f295(x91341,f340(x91341,x91342,x91343,x91344))) % 192.26/192.35 [9311]~P8(x93115,x93114)+P1(f295(x93111,x93112))+P1(f295(f295(f297(x93115),f801(x93111,x93113,x93114,x93115)),f236(x93115,x93114)))+P1(f295(x93113,f789(x93111,x93113,x93114,x93115))) % 192.26/192.35 [9317]~P8(x93174,x93173)+~P1(f295(x93171,x93175))+P1(f295(f295(f297(x93174),f340(x93172,x93171,x93173,x93174)),f236(x93174,x93173)))+P1(f295(x93171,f339(x93172,x93171,x93173,x93174))) % 192.26/192.35 [9320]~P8(x93203,x93204)+P1(f295(x93201,x93202))+~P1(f295(x93205,f801(x93201,x93205,x93204,x93203)))+~P1(f295(x93201,f789(x93201,x93205,x93204,x93203))) % 192.26/192.35 [9433]~P8(x94333,x94335)+P1(f295(x94331,x94332))+~P1(f295(x94331,f789(x94331,x94334,x94335,x94333)))+P1(f295(f295(f297(x94333),f801(x94331,x94334,x94335,x94333)),f236(x94333,x94335))) % 192.26/192.35 [9438]~P8(x94381,x94384)+~P1(f295(x94383,x94385))+~P1(f295(x94382,f339(x94382,x94383,x94384,x94381)))+P1(f295(f295(f297(x94381),f340(x94382,x94383,x94384,x94381)),f236(x94381,x94384))) % 192.26/192.35 [9714]~P37(x97141,x97144)+P1(f295(f295(f297(f910(f903(x97141),f903(x97141))),f295(f295(f217(f903(x97141),f903(x97141)),x97142),x97143)),f136(x97141,x97144)))+~P1(f295(f295(f297(f910(f903(x97141),f903(x97141))),f295(f295(f217(f903(x97141),f903(x97141)),x97142),x97145)),f136(x97141,x97144)))+~P1(f295(f295(f297(f910(f903(x97141),f903(x97141))),f295(f295(f217(f903(x97141),f903(x97141)),x97145),x97143)),f136(x97141,x97144))) % 192.26/192.35 [5450]~P67(x54505)+E(x54501,x54502)+~E(x54503,x54504)+~E(f295(f295(f23(x54505),x54503),x54504),f295(f295(f23(x54505),x54501),x54502)) % 192.26/192.35 [6304]~P16(x63045,x63041,x63043)+E(f295(f295(x63041,x63042),f295(x63043,x63044)),f295(x63043,x63044))+~P1(f295(f62(x63045),x63044))+~P1(f295(f295(f297(x63045),x63042),x63044)) % 192.26/192.35 [6491]~P87(x64911)+~E(f295(f295(f23(x64911),x64914),x64915),f295(f295(f23(x64911),x64912),x64913))+~P1(f295(f295(f207(x64911),x64914),x64915))+P1(f295(f295(f207(x64911),x64912),x64913)) % 192.26/192.35 [6493]~P87(x64931)+~E(f295(f295(f23(x64931),x64934),x64935),f295(f295(f23(x64931),x64932),x64933))+~P1(f295(f295(f208(x64931),x64934),x64935))+P1(f295(f295(f208(x64931),x64932),x64933)) % 192.26/192.35 [7456]~E(x74562,f295(f295(f140(x74561),x74564),x74565))+P1(f295(f295(f297(f903(x74561)),x74562),f150(x74561,x74563)))+~P1(f295(f295(f297(f903(x74561)),x74565),f150(x74561,x74563)))+~P1(f295(f295(f297(x74561),x74564),x74563)) % 192.26/192.35 [7861]~E(f295(f177(f903(x78611)),x78613),f295(f177(f903(x78612)),x78614))+~E(f295(f295(f143(f910(x78611,x78612),x78612),f227(x78611,x78612)),x78615),x78614)+~E(f295(f295(f143(f910(x78611,x78612),x78611),f216(x78611,x78612)),x78615),x78613)+E(f295(f295(f168(x78611,x78612),x78613),x78614),x78615) % 192.26/192.35 [8204]~P116(x82041)+P1(f295(f295(f208(f911(x82041,a897)),f269(x82041,x82042,x82043)),f269(x82041,x82044,x82045)))+~P1(f295(f295(f207(x82041),x82044),x82045))+P1(f295(f295(f207(x82041),x82042),x82043)) % 192.26/192.35 [8298]~P116(x82981)+P1(f295(f295(f207(f911(x82981,a897)),f269(x82981,x82982,x82983)),f269(x82981,x82984,x82985)))+~P1(f295(f295(f207(x82981),x82983),x82985))+~P1(f295(f295(f207(x82981),x82984),x82982)) % 192.26/192.35 [8419]~P114(x84191)+P1(f295(f295(f207(x84191),x84192),x84193))+P1(f295(f295(f207(x84191),x84194),x84193))+~P1(f295(f295(f207(f911(x84191,a897)),f295(f268(x84191,x84193),x84192)),f295(f268(x84191,x84194),x84195))) % 192.26/192.35 [8420]~P114(x84201)+P1(f295(f295(f207(x84201),x84202),x84203))+P1(f295(f295(f207(x84201),x84202),x84204))+~P1(f295(f295(f207(f911(x84201,a897)),f295(f268(x84201,x84203),x84202)),f295(f268(x84201,x84205),x84204))) % 192.26/192.35 [8656]~P116(x86561)+~P1(f295(f295(f207(f911(x86561,a897)),f269(x86561,x86564,x86562)),f269(x86561,x86565,x86563)))+P1(f295(f295(f207(x86561),x86562),x86563))+~P1(f295(f295(f207(x86561),x86564),x86562)) % 192.26/192.35 [8657]~P116(x86571)+~P1(f295(f295(f208(f911(x86571,a897)),f269(x86571,x86574,x86572)),f269(x86571,x86575,x86573)))+P1(f295(f295(f207(x86571),x86572),x86573))+~P1(f295(f295(f207(x86571),x86574),x86572)) % 192.26/192.35 [8658]~P116(x86581)+~P1(f295(f295(f207(f911(x86581,a897)),f269(x86581,x86583,x86584)),f269(x86581,x86582,x86585)))+P1(f295(f295(f207(x86581),x86582),x86583))+~P1(f295(f295(f207(x86581),x86583),x86584)) % 192.26/192.35 [8659]~P116(x86591)+~P1(f295(f295(f208(f911(x86591,a897)),f269(x86591,x86593,x86594)),f269(x86591,x86592,x86595)))+P1(f295(f295(f207(x86591),x86592),x86593))+~P1(f295(f295(f207(x86591),x86593),x86594)) % 192.26/192.35 [9198]P1(f295(x91981,x91982))+~P1(f295(x91985,f870(x91984,x91981,x91985,x91983)))+P1(f295(x91983,f852(x91984,x91981,x91985,x91983)))+~P1(f295(f295(f297(x91984),x91982),x91983)) % 192.26/192.35 [9199]P1(f295(x91991,x91992))+~P1(f295(x91993,f870(x91994,x91991,x91993,x91995)))+P1(f295(x91993,f852(x91994,x91991,x91993,x91995)))+~P1(f295(f295(f297(x91994),x91992),x91995)) % 192.26/192.35 [9353]P1(f295(x93531,x93532))+~P1(f295(x93531,f852(x93534,x93531,x93533,x93535)))+~P1(f295(x93533,f870(x93534,x93531,x93533,x93535)))+~P1(f295(f295(f297(x93534),x93532),x93535)) % 192.26/192.35 [10226]~P1(f295(x102262,x102265))+~P1(f295(f295(f297(x102264),x102265),f236(x102264,x102263)))+P1(f295(x102261,f311(x102261,x102262,x102263,x102264)))+~P1(f295(f295(f235(x102264,x102264,a897,a897,x102263,a292),x102262),x102261)) % 192.26/192.35 [10227]~P1(f295(x102272,x102275))+~P1(f295(f295(f297(x102274),x102275),f236(x102274,x102273)))+P1(f295(x102271,f312(x102272,x102271,x102273,x102274)))+~P1(f295(f295(f235(x102274,x102274,a897,a897,x102273,a292),x102271),x102272)) % 192.26/192.35 [10228]P1(f295(x102281,x102282))+~P1(f295(f295(f297(x102285),x102282),f236(x102285,x102284)))+~P1(f295(x102283,f582(x102281,x102283,x102284,x102285)))+~P1(f295(f295(f235(x102285,x102285,a897,a897,x102284,a292),x102283),x102281)) % 192.26/192.35 [10229]P1(f295(x102291,x102292))+~P1(f295(f295(f297(x102295),x102292),f236(x102295,x102294)))+~P1(f295(x102293,f592(x102293,x102291,x102294,x102295)))+~P1(f295(f295(f235(x102295,x102295,a897,a897,x102294,a292),x102291),x102293)) % 192.26/192.35 [10231]P1(f295(x102311,x102312))+P1(f295(f295(f297(x102313),f592(x102314,x102311,x102315,x102313)),f236(x102313,x102315)))+~P1(f295(f295(f297(x102313),x102312),f236(x102313,x102315)))+~P1(f295(f295(f235(x102313,x102313,a897,a897,x102315,a292),x102311),x102314)) % 192.26/192.35 [10232]P1(f295(x102321,x102322))+P1(f295(f295(f297(x102323),f582(x102321,x102324,x102325,x102323)),f236(x102323,x102325)))+~P1(f295(f295(f297(x102323),x102322),f236(x102323,x102325)))+~P1(f295(f295(f235(x102323,x102323,a897,a897,x102325,a292),x102324),x102321)) % 192.26/192.35 [10233]~P1(f295(x102333,x102335))+~P1(f295(f295(f297(x102331),x102335),f236(x102331,x102334)))+P1(f295(f295(f297(x102331),f311(x102332,x102333,x102334,x102331)),f236(x102331,x102334)))+~P1(f295(f295(f235(x102331,x102331,a897,a897,x102334,a292),x102333),x102332)) % 192.26/192.35 [10234]~P1(f295(x102342,x102345))+~P1(f295(f295(f297(x102341),x102345),f236(x102341,x102344)))+P1(f295(f295(f297(x102341),f312(x102342,x102343,x102344,x102341)),f236(x102341,x102344)))+~P1(f295(f295(f235(x102341,x102341,a897,a897,x102344,a292),x102343),x102342)) % 192.26/192.35 [6195]~P16(x61952,x61955,x61953)+E(x61951,f176(f911(x61952,a897)))+~P1(f295(f62(x61952),x61951))+E(f295(x61953,f295(f295(f275(x61952),x61954),x61951)),f295(f295(x61955,x61954),f295(x61953,x61951))) % 192.26/192.35 [6952]~E(x69521,x69522)+~E(f295(f295(f108(f911(x69523,a897)),x69524),x69525),f176(f911(x69523,a897)))+~P1(f295(f295(f297(x69523),x69522),x69525))+~P1(f295(f295(f297(x69523),x69521),x69524)) % 192.26/192.35 [7031]~P17(x70312,x70315,x70311)+~P1(f295(f62(x70312),x70314))+E(f295(x70311,f295(f295(f275(x70312),x70313),x70314)),f295(f295(f65(x70312,x70312,x70315),x70313),x70314))+P1(f295(f295(f297(x70312),x70313),x70314)) % 192.26/192.35 [7098]~P77(x70982)+~P1(f295(f62(x70981),x70985))+E(f295(f295(f6(x70981,x70982),x70983),f295(f295(f275(x70981),x70984),x70985)),f295(f295(f83(x70982),f295(x70983,x70984)),f295(f295(f6(x70981,x70982),x70983),x70985)))+P1(f295(f295(f297(x70981),x70984),x70985)) % 192.26/192.35 [7100]~P83(x71002)+~P1(f295(f62(x71001),x71005))+E(f295(f295(f9(x71001,x71002),x71003),f295(f295(f275(x71001),x71004),x71005)),f295(f295(f84(x71002),f295(x71003,x71004)),f295(f295(f9(x71001,x71002),x71003),x71005)))+P1(f295(f295(f297(x71001),x71004),x71005)) % 192.26/192.35 [7605]~P17(x76052,x76055,x76051)+~P1(f295(f62(x76052),x76054))+E(f295(x76051,f295(f295(f275(x76052),x76053),x76054)),x76053)+~E(f295(f295(f23(f911(x76052,a897)),x76054),f295(f295(f275(x76052),x76053),f176(f911(x76052,a897)))),f176(f911(x76052,a897))) % 192.26/192.35 [7914]~P1(f295(x79141,x79143))+~P1(f295(f295(f182(x79142),x79143),x79145))+~P1(f295(f295(f182(f32(x79141,x79142)),x79145),x79144))+P1(f295(f295(f182(f32(x79141,x79142)),x79143),x79144)) % 192.26/192.35 [7966]~P109(x79661)+~P1(f295(f295(f207(x79661),x79663),x79665))+~P1(f295(f295(f207(x79661),x79662),x79664))+P1(f295(f295(f207(x79661),f295(f295(f117(x79661),x79662),x79663)),f295(f295(f117(x79661),x79664),x79665))) % 192.26/192.35 [7967]~P110(x79671)+~P1(f295(f295(f207(x79671),x79673),x79675))+~P1(f295(f295(f207(x79671),x79672),x79674))+P1(f295(f295(f207(x79671),f295(f295(f108(x79671),x79672),x79673)),f295(f295(f108(x79671),x79674),x79675))) % 192.26/192.35 [7968]~P92(x79681)+~P1(f295(f295(f207(x79681),x79683),x79685))+~P1(f295(f295(f207(x79681),x79682),x79684))+P1(f295(f295(f207(x79681),f295(f295(f83(x79681),x79682),x79683)),f295(f295(f83(x79681),x79684),x79685))) % 192.26/192.35 [7969]~P114(x79691)+~P1(f295(f295(f207(x79691),x79693),x79695))+~P1(f295(f295(f207(x79691),x79692),x79694))+P1(f295(f295(f207(x79691),f295(f295(f205(x79691),x79692),x79693)),f295(f295(f205(x79691),x79694),x79695))) % 192.26/192.35 [7970]~P114(x79701)+~P1(f295(f295(f207(x79701),x79703),x79705))+~P1(f295(f295(f207(x79701),x79702),x79704))+P1(f295(f295(f207(x79701),f295(f295(f206(x79701),x79702),x79703)),f295(f295(f206(x79701),x79704),x79705))) % 192.26/192.35 [7971]~P94(x79711)+~P1(f295(f295(f207(x79711),x79713),x79715))+~P1(f295(f295(f208(x79711),x79712),x79714))+P1(f295(f295(f208(x79711),f295(f295(f83(x79711),x79712),x79713)),f295(f295(f83(x79711),x79714),x79715))) % 192.26/192.35 [7972]~P94(x79721)+~P1(f295(f295(f207(x79721),x79722),x79724))+~P1(f295(f295(f208(x79721),x79723),x79725))+P1(f295(f295(f208(x79721),f295(f295(f83(x79721),x79722),x79723)),f295(f295(f83(x79721),x79724),x79725))) % 192.26/192.35 [7973]~P94(x79731)+~P1(f295(f295(f208(x79731),x79733),x79735))+~P1(f295(f295(f208(x79731),x79732),x79734))+P1(f295(f295(f208(x79731),f295(f295(f83(x79731),x79732),x79733)),f295(f295(f83(x79731),x79734),x79735))) % 192.26/192.35 [8109]~P150(x81095)+E(x81091,x81092)+E(x81093,x81094)+~E(f295(f295(f83(x81095),f295(f295(f84(x81095),x81093),x81091)),f295(f295(f84(x81095),x81094),x81092)),f295(f295(f83(x81095),f295(f295(f84(x81095),x81093),x81092)),f295(f295(f84(x81095),x81094),x81091))) % 192.26/192.35 [8256]P29(x82561,x82562,x82563)+~P28(x82561,x82564,x82565)+~P29(x82561,x82562,f621(x82565,x82564,x82561,x82562))+~P1(f295(f295(f297(f901(x82561)),x82563),x82565)) % 192.26/192.35 [8319]~P114(x83194)+~P1(f295(f126(x83191),x83193))+P1(f295(f295(f297(x83191),x83192),f295(f160(x83191),x83193)))+P1(f295(f126(x83191),f295(f295(f137(x83191,x83194,x83195),x83192),x83193))) % 192.26/192.35 [8468]~P67(x84681)+E(f295(f295(f23(x84681),f295(f295(f6(a902,x84681),x84682),f295(f268(a902,x84683),x84684))),f295(f295(f6(a902,x84681),x84682),f295(f268(a902,x84683),x84685))),f295(f295(f6(a902,x84681),x84682),f295(f268(a902,x84685),x84684)))+~P1(f295(f295(f207(a902),x84685),x84684))+~P1(f295(f295(f207(a902),x84683),x84685)) % 192.26/192.35 [8469]~P77(x84691)+E(f295(f295(f83(x84691),f295(f295(f6(a902,x84691),x84692),f295(f268(a902,x84693),x84694))),f295(f295(f6(a902,x84691),x84692),f295(f268(a902,x84694),x84695))),f295(f295(f6(a902,x84691),x84692),f295(f268(a902,x84693),x84695)))+~P1(f295(f295(f207(a902),x84694),x84695))+~P1(f295(f295(f207(a902),x84693),x84694)) % 192.26/192.35 [8811]~P73(x88112)+E(x88111,f2(x88112))+E(x88113,f2(x88112))+E(f295(f295(f256(x88112),f295(f295(f23(x88112),f295(f295(f84(x88112),x88114),x88111)),f295(f295(f84(x88112),x88115),x88113))),f295(f295(f84(x88112),x88113),x88111)),f295(f295(f23(x88112),f295(f295(f256(x88112),x88114),x88113)),f295(f295(f256(x88112),x88115),x88111))) % 192.26/192.35 [8812]~P73(x88122)+E(x88121,f2(x88122))+E(x88123,f2(x88122))+E(f295(f295(f256(x88122),f295(f295(f83(x88122),f295(f295(f84(x88122),x88124),x88121)),f295(f295(f84(x88122),x88125),x88123))),f295(f295(f84(x88122),x88123),x88121)),f295(f295(f83(x88122),f295(f295(f256(x88122),x88124),x88123)),f295(f295(f256(x88122),x88125),x88121))) % 192.26/192.35 [8820]~E(x88202,f295(x88203,x88201))+E(x88201,f351(x88202,x88203,x88204,x88205))+~P24(x88205,x88204,x88203,f214(f911(x88205,a897)))+~P1(f295(f295(f297(x88204),x88202),f295(f276(x88205,x88204,x88203),f214(f911(x88205,a897))))) % 192.26/192.35 [9043]~P119(x90431)+~P1(f295(f295(f208(x90431),f295(f77(x90431),x90432)),x90434))+P1(f295(f295(f208(x90431),f295(f295(f84(x90431),f295(f77(x90431),x90432)),f295(f77(x90431),x90433))),f295(f295(f84(x90431),x90434),x90435)))+~P1(f295(f295(f208(x90431),f295(f77(x90431),x90433)),x90435)) % 192.26/192.35 [9061]~P28(x90611,x90615,x90614)+P29(x90611,x90612,x90613)+P1(f295(f295(f297(f901(x90611)),f621(x90614,x90615,x90611,x90612)),x90615))+~P1(f295(f295(f297(f901(x90611)),x90613),x90614)) % 192.26/192.35 [9164]~P24(x91641,x91643,x91645,x91642)+~P1(f295(f62(x91643),x91644))+P1(f295(f295(f207(a902),f295(f39(x91641),x91642)),f295(f39(x91643),x91644)))+~P1(f295(f295(f207(f911(x91643,a897)),f295(f276(x91641,x91643,x91645),x91642)),x91644)) % 192.26/192.35 [9346]~P36(x93461,x93462)+~P1(f295(f295(f297(x93461),x93463),x93464))+~P1(f295(f295(f297(x93461),x93465),x93464))+~P1(f295(f295(f297(f910(x93461,x93461)),f295(f295(f217(x93461,x93461),x93465),f806(x93462,x93461,x93464))),x93462)) % 192.26/192.35 [9380]~P24(x93802,x93803,x93805,x93801)+E(x93801,f176(f911(x93802,a897)))+E(f295(f276(x93803,x93802,f356(x93804,x93803,x93802,x93801)),x93804),x93801)+~P1(f295(f295(f207(f911(x93803,a897)),f295(f276(x93802,x93803,x93805),x93801)),x93804)) % 192.26/192.35 [9852]~P6(x98525)+~P114(x98525)+P1(f295(f295(f297(x98521),f353(x98522,x98523,x98521,x98524,x98525)),x98523))+~P1(f295(f295(f208(x98525),x98524),f295(f295(f44(x98521,x98525),x98523),x98522))) % 192.26/192.35 [9858]~P6(x98581)+~P114(x98581)+P1(f295(f295(f208(x98581),x98582),f295(x98583,f353(x98583,x98584,x98585,x98582,x98581))))+~P1(f295(f295(f208(x98581),x98582),f295(f295(f44(x98585,x98581),x98584),x98583))) % 192.26/192.35 [9934]~P81(x99341)+~P1(f295(f67(x99341,x99341,f84(x99341),x99342,x99343),x99345))+P1(f295(f295(f297(x99341),x99342),x99343))+P1(f295(f67(x99341,x99341,f84(x99341),x99344,f295(f295(f275(x99341),x99342),x99343)),f295(f295(f84(x99341),x99344),x99345))) % 192.26/192.35 [10147]~P77(x101472)+~P1(f295(f62(x101471),x101475))+E(f295(f295(f6(x101471,x101472),f295(f295(f7(x101471,x101472,x101472),f295(f295(f18(x101471,x101472,f911(x101472,x101472)),f295(f295(f8(a897,f911(x101472,f911(x101472,x101472)),x101471),f103(x101472)),f295(a292,x101473))),x101474)),f2(x101472))),x101475),f2(x101472))+P1(f295(f295(f297(x101471),x101473),x101475)) % 192.26/192.35 [10148]~P83(x101482)+~P1(f295(f62(x101481),x101485))+E(f295(f295(f9(x101481,x101482),f295(f295(f7(x101481,x101482,x101482),f295(f295(f18(x101481,x101482,f911(x101482,x101482)),f295(f295(f8(a897,f911(x101482,f911(x101482,x101482)),x101481),f103(x101482)),f295(a292,x101483))),x101484)),f81(x101482))),x101485),f81(x101482))+P1(f295(f295(f297(x101481),x101483),x101485)) % 192.26/192.35 [10149]~P77(x101492)+~P1(f295(f62(x101491),x101495))+E(f295(f295(f6(x101491,x101492),f295(f295(f7(x101491,x101492,x101492),f295(f295(f18(x101491,x101492,f911(x101492,x101492)),f295(f295(f8(a897,f911(x101492,f911(x101492,x101492)),x101491),f103(x101492)),f295(a292,x101493))),x101494)),f2(x101492))),x101495),f295(x101494,x101493))+~P1(f295(f295(f297(x101491),x101493),x101495)) % 192.26/192.35 [10150]~P83(x101502)+~P1(f295(f62(x101501),x101505))+E(f295(f295(f9(x101501,x101502),f295(f295(f7(x101501,x101502,x101502),f295(f295(f18(x101501,x101502,f911(x101502,x101502)),f295(f295(f8(a897,f911(x101502,f911(x101502,x101502)),x101501),f103(x101502)),f295(a292,x101503))),x101504)),f81(x101502))),x101505),f295(x101504,x101503))+~P1(f295(f295(f297(x101501),x101503),x101505)) % 192.26/192.35 [10215]~P77(x102152)+~P1(f295(f62(x102151),x102155))+E(f295(f295(f6(x102151,x102152),f295(f295(f7(x102151,x102152,x102152),f295(f295(f18(x102151,x102152,f911(x102152,x102152)),f295(f295(f8(a897,f911(x102152,f911(x102152,x102152)),x102151),f103(x102152)),f295(f295(f7(x102151,x102151,a897),a292),x102153))),x102154)),f2(x102152))),x102155),f2(x102152))+P1(f295(f295(f297(x102151),x102153),x102155)) % 192.26/192.35 [10216]~P83(x102162)+~P1(f295(f62(x102161),x102165))+E(f295(f295(f9(x102161,x102162),f295(f295(f7(x102161,x102162,x102162),f295(f295(f18(x102161,x102162,f911(x102162,x102162)),f295(f295(f8(a897,f911(x102162,f911(x102162,x102162)),x102161),f103(x102162)),f295(f295(f7(x102161,x102161,a897),a292),x102163))),x102164)),f81(x102162))),x102165),f81(x102162))+P1(f295(f295(f297(x102161),x102163),x102165)) % 192.26/192.35 [10218]~P77(x102182)+~P1(f295(f62(x102181),x102185))+E(f295(f295(f6(x102181,x102182),f295(f295(f7(x102181,x102182,x102182),f295(f295(f18(x102181,x102182,f911(x102182,x102182)),f295(f295(f8(a897,f911(x102182,f911(x102182,x102182)),x102181),f103(x102182)),f295(f295(f7(x102181,x102181,a897),a292),x102183))),x102184)),f2(x102182))),x102185),f295(x102184,x102183))+~P1(f295(f295(f297(x102181),x102183),x102185)) % 192.26/192.35 [10219]~P83(x102192)+~P1(f295(f62(x102191),x102195))+E(f295(f295(f9(x102191,x102192),f295(f295(f7(x102191,x102192,x102192),f295(f295(f18(x102191,x102192,f911(x102192,x102192)),f295(f295(f8(a897,f911(x102192,f911(x102192,x102192)),x102191),f103(x102192)),f295(f295(f7(x102191,x102191,a897),a292),x102193))),x102194)),f81(x102192))),x102195),f295(x102194,x102193))+~P1(f295(f295(f297(x102191),x102193),x102195)) % 192.26/192.35 [7965]~P67(x79652)+~P1(f295(f62(x79651),x79654))+E(f295(f295(f6(x79651,x79652),x79653),f295(f295(f23(f911(x79651,a897)),x79654),f295(f295(f275(x79651),x79655),f176(f911(x79651,a897))))),f295(f295(f6(x79651,x79652),x79653),x79654))+P1(f295(f295(f297(x79651),x79655),x79654)) % 192.26/192.35 [8474]~P130(x84742)+~P1(f295(f62(x84741),x84744))+E(f295(f295(f6(x84741,x84742),x84743),f295(f295(f23(f911(x84741,a897)),x84744),f295(f295(f275(x84741),x84745),f176(f911(x84741,a897))))),f295(f295(f23(x84742),f295(f295(f6(x84741,x84742),x84743),x84744)),f295(x84743,x84745)))+~P1(f295(f295(f297(x84741),x84745),x84744)) % 192.26/192.35 [8475]~P67(x84752)+~P1(f295(f62(x84751),x84754))+E(f295(f295(f6(x84751,x84752),x84753),f295(f295(f23(f911(x84751,a897)),x84754),f295(f295(f275(x84751),x84755),f176(f911(x84751,a897))))),f295(f295(f23(x84752),f295(f295(f6(x84751,x84752),x84753),x84754)),f295(x84753,x84755)))+~P1(f295(f295(f297(x84751),x84755),x84754)) % 192.26/192.35 [8502]~P67(x85021)+~P1(f295(f62(x85022),x85024))+E(f295(f295(f23(x85021),f295(f295(f6(x85022,x85021),x85023),x85024)),f295(f295(f6(x85022,x85021),x85023),x85025)),f295(f295(f6(x85022,x85021),x85023),f295(f295(f23(f911(x85022,a897)),x85024),x85025)))+~P1(f295(f295(f207(f911(x85022,a897)),x85025),x85024)) % 192.26/192.35 [8522]P1(f295(f62(x85221),f295(x85222,x85223)))+~P1(f295(f62(x85224),x85225))+~P1(f295(f295(f297(x85224),x85223),x85225))+~P1(f295(f62(x85221),f295(f295(f44(x85224,f911(x85221,a897)),x85225),x85222))) % 192.26/192.35 [8752]~P77(x87522)+~P24(x87521,x87521,x87524,x87525)+~P1(f295(f62(x87521),x87525))+E(f295(f295(f6(x87521,x87522),f295(f295(f74(x87521,x87522,x87521),x87523),x87524)),x87525),f295(f295(f6(x87521,x87522),x87523),f295(f276(x87521,x87521,x87524),x87525))) % 192.26/192.35 [8753]~P83(x87532)+~P24(x87531,x87531,x87534,x87535)+~P1(f295(f62(x87531),x87535))+E(f295(f295(f9(x87531,x87532),f295(f295(f74(x87531,x87532,x87531),x87533),x87534)),x87535),f295(f295(f9(x87531,x87532),x87533),f295(f276(x87531,x87531,x87534),x87535))) % 192.26/192.35 [8995]~P9(x89951,x89955,x89954)+~E(f295(f252(x89951,x89951,x89954),f295(f295(f275(x89951),x89952),f176(f911(x89951,a897)))),f295(f252(x89951,x89951,x89954),f295(f295(f275(x89951),x89953),f176(f911(x89951,a897)))))+~P1(f295(f295(f297(x89951),x89953),x89955))+P1(f295(f295(f297(f910(x89951,x89951)),f295(f295(f217(x89951,x89951),x89952),x89953)),x89954)) % 192.26/192.35 [9301]~P1(f295(x93011,x93015))+P1(f295(x93011,f309(x93011,x93012,x93013,x93014)))+P1(f295(x93011,f306(x93011,x93012,x93013,x93014)))+~P1(f295(f295(f297(x93014),x93015),f295(f295(f117(f911(x93014,a897)),x93013),x93012))) % 192.26/192.35 [9482]~P1(f295(x94821,x94825))+P1(f295(x94821,f306(x94821,x94822,x94823,x94824)))+P1(f295(f295(f297(x94824),f309(x94821,x94822,x94823,x94824)),x94822))+~P1(f295(f295(f297(x94824),x94825),f295(f295(f117(f911(x94824,a897)),x94823),x94822))) % 192.26/192.35 [9483]~P1(f295(x94831,x94835))+P1(f295(x94831,f309(x94831,x94832,x94833,x94834)))+P1(f295(f295(f297(x94834),f306(x94831,x94832,x94833,x94834)),x94833))+~P1(f295(f295(f297(x94834),x94835),f295(f295(f117(f911(x94834,a897)),x94833),x94832))) % 192.26/192.35 [9489]P1(f295(x94891,x94892))+~P1(f295(x94891,f308(x94891,x94893,x94894,x94895)))+~P1(f295(x94891,f307(x94891,x94893,x94894,x94895)))+~P1(f295(f295(f297(x94895),x94892),f295(f295(f117(f911(x94895,a897)),x94894),x94893))) % 192.26/192.35 [9494]~P37(x94941,x94944)+~P1(f295(f295(f297(f910(x94941,x94941)),f295(f295(f217(x94941,x94941),x94942),x94945)),x94944))+P1(f295(f295(f297(f910(x94941,x94941)),f295(f295(f217(x94941,x94941),x94942),x94943)),x94944))+~P1(f295(f295(f297(f910(x94941,x94941)),f295(f295(f217(x94941,x94941),x94945),x94943)),x94944)) % 192.26/192.35 [9531]E(x95311,x95312)+~P1(f295(f295(f297(f910(x95313,x95313)),f295(f295(f217(x95313,x95313),x95311),x95312)),f273(x95313,x95315)))+P1(f295(f295(f297(x95313),x95311),x95314))+~P1(f295(f295(f207(f911(f910(x95313,x95313),a897)),x95315),f295(f295(f226(x95313,x95313),x95314),f295(f16(f911(x95313,a897),x95313),x95314)))) % 192.26/192.35 [9546]P1(f295(x95461,x95462))+~P1(f295(x95461,f307(x95461,x95464,x95465,x95463)))+P1(f295(f295(f297(x95463),f308(x95461,x95464,x95465,x95463)),x95464))+~P1(f295(f295(f297(x95463),x95462),f295(f295(f117(f911(x95463,a897)),x95465),x95464))) % 192.26/192.35 [9547]P1(f295(x95471,x95472))+~P1(f295(x95471,f308(x95471,x95474,x95475,x95473)))+P1(f295(f295(f297(x95473),f307(x95471,x95474,x95475,x95473)),x95475))+~P1(f295(f295(f297(x95473),x95472),f295(f295(f117(f911(x95473,a897)),x95475),x95474))) % 192.26/192.35 [9609]P1(f295(x96091,x96092))+P1(f295(f295(f297(x96093),f308(x96091,x96094,x96095,x96093)),x96094))+P1(f295(f295(f297(x96093),f307(x96091,x96094,x96095,x96093)),x96095))+~P1(f295(f295(f297(x96093),x96092),f295(f295(f117(f911(x96093,a897)),x96095),x96094))) % 192.26/192.35 [9611]~P1(f295(x96112,x96115))+P1(f295(f295(f297(x96111),f309(x96112,x96113,x96114,x96111)),x96113))+P1(f295(f295(f297(x96111),f306(x96112,x96113,x96114,x96111)),x96114))+~P1(f295(f295(f297(x96111),x96115),f295(f295(f117(f911(x96111,a897)),x96114),x96113))) % 192.26/192.35 [9755]~P9(x97551,x97555,x97554)+~P1(f295(f295(f297(x97551),x97553),x97555))+P1(f295(f295(f297(f910(x97551,x97551)),f295(f295(f217(x97551,x97551),x97552),x97553)),x97554))+~P1(f295(f295(f207(f911(x97551,a897)),f295(f252(x97551,x97551,x97554),f295(f295(f275(x97551),x97553),f176(f911(x97551,a897))))),f295(f252(x97551,x97551,x97554),f295(f295(f275(x97551),x97552),f176(f911(x97551,a897)))))) % 192.26/192.35 [9889]~P6(x98895)+~P114(x98895)+P1(f295(f295(f297(x98891),f354(x98892,x98893,x98894,x98891,x98895)),x98894))+~P1(f295(f295(f208(x98895),f295(f295(f43(x98891,x98895),x98894),x98893)),x98892)) % 192.26/192.35 [9919]~P92(x99195)+~P88(x99195)+P1(f295(f295(f297(x99191),f719(x99192,x99193,x99194,x99191,x99195)),f295(f160(x99191),x99194)))+P1(f295(f295(f207(x99195),f295(f154(x99195),f295(f295(f143(x99191,x99195),x99193),x99194))),f295(f154(x99195),f295(f295(f143(x99191,x99195),x99192),x99194)))) % 192.26/192.35 [10026]~P6(x100261)+~P114(x100261)+P1(f295(f295(f208(x100261),f295(x100262,f354(x100263,x100262,x100264,x100265,x100261))),x100263))+~P1(f295(f295(f208(x100261),f295(f295(f43(x100265,x100261),x100264),x100262)),x100263)) % 192.26/192.35 [10169]~P92(x101691)+~P88(x101691)+~P1(f295(f295(f207(x101691),f295(x101693,f719(x101695,x101693,x101694,x101692,x101691))),f295(x101695,f719(x101695,x101693,x101694,x101692,x101691))))+P1(f295(f295(f207(x101691),f295(f154(x101691),f295(f295(f143(x101692,x101691),x101693),x101694))),f295(f154(x101691),f295(f295(f143(x101692,x101691),x101695),x101694)))) % 192.26/192.35 [8828]~P77(x88281)+~P1(f295(f62(x88284),x88285))+~P1(f295(f295(f297(x88284),x88283),x88285))+E(f295(f295(f83(x88281),f295(x88282,x88283)),f295(f295(f6(x88284,x88281),x88282),f295(f295(f23(f911(x88284,a897)),x88285),f295(f295(f275(x88284),x88283),f176(f911(x88284,a897)))))),f295(f295(f6(x88284,x88281),x88282),x88285)) % 192.26/192.35 [8829]~P83(x88291)+~P1(f295(f62(x88294),x88295))+~P1(f295(f295(f297(x88294),x88293),x88295))+E(f295(f295(f84(x88291),f295(x88292,x88293)),f295(f295(f9(x88294,x88291),x88292),f295(f295(f23(f911(x88294,a897)),x88295),f295(f295(f275(x88294),x88293),f176(f911(x88294,a897)))))),f295(f295(f9(x88294,x88291),x88292),x88295)) % 192.26/192.35 [8894]~P17(x88941,x88944,x88945)+~P1(f295(f62(x88941),x88942))+E(f295(f295(f23(f911(x88941,a897)),x88942),f295(f295(f275(x88941),x88943),f176(f911(x88941,a897)))),f176(f911(x88941,a897)))+E(f295(f295(x88944,x88943),f295(x88945,f295(f295(f23(f911(x88941,a897)),x88942),f295(f295(f275(x88941),x88943),f176(f911(x88941,a897)))))),f295(x88945,f295(f295(f275(x88941),x88943),x88942))) % 192.26/192.35 [9282]~P77(x92821)+~P1(f295(f62(x92822),x92825))+~P1(f295(f62(x92822),x92824))+E(f295(f295(f83(x92821),f295(f295(f6(x92822,x92821),x92823),f295(f295(f117(f911(x92822,a897)),x92824),x92825))),f295(f295(f6(x92822,x92821),x92823),f295(f295(f108(f911(x92822,a897)),x92824),x92825))),f295(f295(f83(x92821),f295(f295(f6(x92822,x92821),x92823),x92824)),f295(f295(f6(x92822,x92821),x92823),x92825))) % 192.26/192.35 [9284]~P83(x92841)+~P1(f295(f62(x92842),x92845))+~P1(f295(f62(x92842),x92844))+E(f295(f295(f84(x92841),f295(f295(f9(x92842,x92841),x92843),f295(f295(f117(f911(x92842,a897)),x92844),x92845))),f295(f295(f9(x92842,x92841),x92843),f295(f295(f108(f911(x92842,a897)),x92844),x92845))),f295(f295(f84(x92841),f295(f295(f9(x92842,x92841),x92843),x92844)),f295(f295(f9(x92842,x92841),x92843),x92845))) % 192.26/192.35 [9422]~P67(x94221)+~P1(f295(f62(x94222),x94225))+~P1(f295(f62(x94222),x94224))+E(f295(f295(f23(x94221),f295(f295(f83(x94221),f295(f295(f6(x94222,x94221),x94223),x94224)),f295(f295(f6(x94222,x94221),x94223),x94225))),f295(f295(f6(x94222,x94221),x94223),f295(f295(f108(f911(x94222,a897)),x94224),x94225))),f295(f295(f6(x94222,x94221),x94223),f295(f295(f117(f911(x94222,a897)),x94224),x94225))) % 192.26/192.35 [9620]~P24(x96201,x96202,x96203,x96205)+~P24(x96201,x96202,x96203,x96204)+P24(x96201,x96202,x96203,f295(f295(f117(f911(x96201,a897)),x96204),x96205))+~E(f295(f295(f108(f911(x96202,a897)),f295(f276(x96201,x96202,x96203),f295(f295(f23(f911(x96201,a897)),x96204),x96205))),f295(f276(x96201,x96202,x96203),f295(f295(f23(f911(x96201,a897)),x96205),x96204))),f176(f911(x96202,a897))) % 192.26/192.35 [9730]E(x97301,f2(a1))+~P1(f295(f295(f208(a1),f2(a1)),x97303))+~P1(f295(f50(x97302,x97301),f295(f295(f217(a1,a1),x97304),x97305)))+P1(f295(f50(x97302,f295(f295(f84(a1),x97301),x97303)),f295(f295(f217(a1,a1),f295(f295(f40(a1),x97304),x97303)),f295(f295(f83(a1),f295(f295(f84(a1),x97301),f46(a1,x97304,x97303))),x97305)))) % 192.26/192.35 [9738]~P1(f295(f295(f208(a902),f2(a902)),x97383))+~P1(f295(f295(f208(a902),f2(a902)),x97382))+~P1(f295(f49(x97381,x97382),f295(f295(f217(a902,a902),x97384),x97385)))+P1(f295(f49(x97381,f295(f295(f84(a902),x97382),x97383)),f295(f295(f217(a902,a902),f295(f295(f40(a902),x97384),x97383)),f295(f295(f83(a902),f295(f295(f84(a902),x97382),f46(a902,x97384,x97383))),x97385)))) % 192.26/192.35 [9785]~P83(x97851)+~P1(f295(f62(x97852),x97855))+~P1(f295(f62(x97852),x97854))+E(f295(f295(f84(x97851),f295(f295(f295(f66(x97851,x97852,f84(x97851)),x97853),f81(x97851)),f295(f295(f117(f911(x97852,a897)),x97854),x97855))),f295(f295(f295(f66(x97851,x97852,f84(x97851)),x97853),f81(x97851)),f295(f295(f108(f911(x97852,a897)),x97854),x97855))),f295(f295(f84(x97851),f295(f295(f295(f66(x97851,x97852,f84(x97851)),x97853),f81(x97851)),x97854)),f295(f295(f295(f66(x97851,x97852,f84(x97851)),x97853),f81(x97851)),x97855))) % 192.26/192.35 [9787]~E(f295(f295(f161(x97871),x97875),x97872),f295(f295(f161(x97871),x97875),x97873))+P1(f295(f295(f297(f910(f903(x97871),f903(x97871))),f295(f295(f217(f903(x97871),f903(x97871)),x97872),x97873)),f136(x97871,x97874)))+~P1(f295(f295(f208(a902),x97875),f295(f295(f205(a902),f295(f177(f903(x97871)),x97872)),f295(f177(f903(x97871)),x97873))))+~P1(f295(f295(f297(f910(x97871,x97871)),f295(f295(f217(x97871,x97871),f295(f295(f153(x97871),x97872),x97875)),f295(f295(f153(x97871),x97873),x97875))),x97874)) % 192.26/192.35 [9908]~P118(x99085)+~P92(x99085)+P1(f295(f295(f297(x99081),f463(x99082,x99083,x99084,x99081,x99085)),x99084))+P1(f295(f295(f207(x99085),f295(f295(f6(x99081,x99085),x99083),x99084)),f295(f295(f84(x99085),f295(f107(x99085),f295(f39(x99081),x99084))),x99082))) % 192.26/192.35 [10089]~P118(x100891)+~P92(x100891)+~P1(f295(f295(f207(x100891),f295(x100893,f463(x100895,x100893,x100894,x100892,x100891))),x100895))+P1(f295(f295(f207(x100891),f295(f295(f6(x100892,x100891),x100893),x100894)),f295(f295(f84(x100891),f295(f107(x100891),f295(f39(x100892),x100894))),x100895))) % 192.26/192.35 [8856]E(f295(f295(f122(x88561),x88562),x88563),f295(f295(f122(x88561),x88564),x88565))+~E(f295(f295(f161(x88561),f295(f177(f903(x88561)),x88562)),x88564),x88562)+~E(f295(f295(f122(x88561),f295(f295(f127(x88561),f295(f177(f903(x88561)),x88562)),x88564)),x88565),x88563)+P1(f295(f295(f207(a902),f295(f177(f903(x88561)),x88564)),f295(f177(f903(x88561)),x88562))) % 192.26/192.35 [8994]E(f295(f295(f122(x89941),x89942),x89943),f295(f295(f122(x89941),x89944),x89945))+~E(f295(f295(f161(x89941),f295(f177(f903(x89941)),x89942)),x89944),x89942)+~E(x89943,f295(f295(f122(x89941),f295(f295(f127(x89941),f295(f177(f903(x89941)),x89942)),x89944)),x89945))+~P1(f295(f295(f207(a902),f295(f177(f903(x89941)),x89942)),f295(f177(f903(x89941)),x89944))) % 192.26/192.35 [10270]~P1(f295(x102705,x102704))+~P1(f295(f62(x102702),f295(f212(x102702),x102705)))+P1(f295(f62(x102701),f295(f212(x102701),f295(f295(f7(x102701,x102702,a897),x102703),x102704))))+~P1(f295(f62(x102701),f295(f212(x102701),f295(f295(f8(f911(x102702,a897),a897,x102701),f90(x102702)),f295(f295(f8(f911(x102702,a897),f911(x102702,a897),x102701),f295(f18(x102702,a897,a897),f295(f295(f8(a897,f911(a897,a897),x102702),a293),x102705))),x102703))))) % 192.26/192.35 [10353]~P1(f295(f62(x103532),x103535))+~P1(f295(f295(f297(x103532),x103534),x103535))+P1(f295(f62(x103531),f295(f212(x103531),f295(f295(f7(x103531,x103532,a897),x103533),x103534))))+~P1(f295(f62(x103531),f295(f212(x103531),f295(f295(f8(f911(x103532,a897),a897,x103531),f90(x103532)),f295(f295(f8(f911(x103532,a897),f911(x103532,a897),x103531),f295(f18(x103532,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103532),a293),f295(f295(f7(x103532,f911(x103532,a897),a897),f297(x103532)),x103535)))),x103533))))) % 192.26/192.35 [8179]~P18(x81795,x81791,x81796,x81792)+E(f295(f295(f74(x81791,x81791,x81791),f295(x81792,x81793)),f295(x81792,x81794)),f295(f295(f74(x81791,x81791,x81791),f295(x81792,x81794)),f295(x81792,x81793)))+~P1(f295(f62(x81795),x81794))+~P1(f295(f62(x81795),x81793)) % 192.26/192.35 [7846]~P19(x78466,x78461,x78464,x78462)+E(f295(f295(f74(x78461,x78461,x78461),f295(x78462,x78463)),f295(x78464,x78465)),f295(x78462,x78463))+~P1(f295(f62(x78466),x78463))+~P1(f295(f295(f297(x78466),x78465),x78463)) % 192.26/192.35 [8019]~P24(x80191,x80192,x80194,x80193)+~E(f295(x80194,x80196),x80195)+E(f295(f80(x80191,x80192,x80193,x80194),x80195),x80196)+~P1(f295(f295(f297(x80191),x80196),x80193)) % 192.26/192.35 [8020]~P24(x80201,x80202,x80204,x80203)+~E(f295(x80204,x80206),x80205)+E(f295(f94(x80201,x80202,x80203,x80204),x80205),x80206)+~P1(f295(f295(f297(x80201),x80206),x80203)) % 192.26/192.35 [9372]E(x93721,x93722)+~E(f295(f94(x93723,x93724,x93725,x93726),x93721),f295(f94(x93723,x93724,x93725,x93726),x93722))+~P1(f295(f295(f297(x93724),x93722),f295(f276(x93723,x93724,x93726),x93725)))+~P1(f295(f295(f297(x93724),x93721),f295(f276(x93723,x93724,x93726),x93725))) % 192.26/192.35 [9429]~P18(x94293,x94291,x94296,x94292)+E(f295(f295(f74(x94291,x94291,x94291),f295(x94292,f295(f295(f23(f911(x94293,a897)),x94294),f295(f295(f275(x94293),x94295),f176(f911(x94293,a897)))))),f295(x94296,x94295)),f295(x94292,x94294))+~P1(f295(f62(x94293),x94294))+~P1(f295(f295(f297(x94293),x94295),x94294)) % 192.26/192.35 [10269]~P8(x102694,x102695)+P1(f295(x102691,f295(x102692,x102693)))+~P1(f295(f295(f297(f911(x102694,x102694)),x102692),f236(f911(x102694,x102694),f235(x102694,x102694,x102694,x102694,x102696,x102695))))+~P1(f295(x102691,f295(f755(x102693,x102691,x102696,x102695,x102694),x102693))) % 192.26/192.35 [7103]~P70(x71031)+~E(f46(x71031,x71033,x71034),f46(x71031,x71036,x71034))+~E(f46(x71031,x71032,x71034),f46(x71031,x71035,x71034))+E(f46(x71031,f295(f295(f23(x71031),x71032),x71033),x71034),f46(x71031,f295(f295(f23(x71031),x71035),x71036),x71034)) % 192.26/192.35 [7104]~P69(x71041)+~E(f46(x71041,x71043,x71044),f46(x71041,x71046,x71044))+~E(f46(x71041,x71042,x71044),f46(x71041,x71045,x71044))+E(f46(x71041,f295(f295(f83(x71041),x71042),x71043),x71044),f46(x71041,f295(f295(f83(x71041),x71045),x71046),x71044)) % 192.26/192.35 [7105]~P69(x71051)+~E(f46(x71051,x71053,x71054),f46(x71051,x71056,x71054))+~E(f46(x71051,x71052,x71054),f46(x71051,x71055,x71054))+E(f46(x71051,f295(f295(f84(x71051),x71052),x71053),x71054),f46(x71051,f295(f295(f84(x71051),x71055),x71056),x71054)) % 192.26/192.35 [7905]~P18(x79052,x79055,x79056,x79051)+~P1(f295(f62(x79052),x79054))+E(f295(x79051,f295(f295(f275(x79052),x79053),x79054)),f295(f295(f74(x79055,x79055,x79055),f295(x79051,x79054)),f295(x79056,x79053)))+P1(f295(f295(f297(x79052),x79053),x79054)) % 192.26/192.35 [7915]~P15(x79151,x79152,x79153)+~P1(f295(f62(x79151),x79156))+E(f295(f295(f65(x79151,x79152,x79153),x79154),f295(f295(f275(x79151),x79155),x79156)),f295(f295(f65(x79151,x79152,x79153),f295(f295(x79153,x79155),x79154)),x79156))+P1(f295(f295(f297(x79151),x79155),x79156)) % 192.26/192.35 [7978]~P6(x79781)+P1(f295(f295(f207(x79781),x79782),f295(x79783,x79784)))+~P1(f295(f295(f297(x79785),x79784),x79786))+~P1(f295(f295(f207(x79781),x79782),f295(f295(f43(x79785,x79781),x79786),x79783))) % 192.26/192.35 [8139]~P15(x81391,x81392,x81393)+~P1(f295(f62(x81391),x81396))+E(f295(f295(f65(x81391,x81392,x81393),x81394),f295(f295(f275(x81391),x81395),x81396)),f295(f295(x81393,x81395),f295(f295(f65(x81391,x81392,x81393),x81394),x81396)))+P1(f295(f295(f297(x81391),x81395),x81396)) % 192.26/192.35 [8243]~P114(x82433)+~P1(f295(x82432,x82435))+~P12(x82433,f295(f295(f143(x82431,x82433),x82434),x82436))+E(f295(f125(x82431,x82432),f295(f295(f137(x82431,x82433,x82434),x82435),x82436)),f295(f295(f137(x82431,x82433,x82434),x82435),f295(f125(x82431,x82432),x82436))) % 192.26/192.35 [8264]E(x82641,x82642)+E(x82643,f2(a1))+~P1(f295(f50(x82644,x82643),f295(f295(f217(a1,a1),x82645),x82642)))+~P1(f295(f50(x82644,x82643),f295(f295(f217(a1,a1),x82646),x82641))) % 192.26/192.35 [8265]E(x82651,x82652)+E(x82653,f2(a1))+~P1(f295(f50(x82654,x82653),f295(f295(f217(a1,a1),x82652),x82655)))+~P1(f295(f50(x82654,x82653),f295(f295(f217(a1,a1),x82651),x82656))) % 192.26/192.35 [8271]~P19(x82715,x82711,x82716,x82712)+E(f295(f295(f74(x82711,x82711,x82711),f295(x82712,x82713)),f295(x82712,x82714)),f295(x82712,x82713))+~P1(f295(f62(x82715),x82713))+~P1(f295(f295(f207(f911(x82715,a897)),x82714),x82713)) % 192.26/192.35 [9661]~P24(x96611,x96612,x96614,x96613)+~P1(f295(f295(f297(x96612),x96615),f295(f276(x96611,x96612,x96614),x96613)))+P1(f295(f295(f297(x96611),f295(f80(x96611,x96612,x96613,x96614),x96615)),x96616))+~P1(f295(f295(f207(f911(x96611,a897)),x96613),x96616)) % 192.26/192.35 [10345]~P83(x103451)+~P1(f295(f62(x103452),x103456))+E(f295(f295(f295(f66(x103451,x103452,f84(x103451)),f295(f295(f18(x103452,f911(x103453,a897),x103451),f295(f295(f7(x103452,x103451,f911(f911(x103453,a897),x103451)),f295(f295(f8(f911(x103453,x103451),f911(x103451,f911(f911(x103453,a897),x103451)),x103452),f66(x103451,x103453,f84(x103451))),x103454)),f81(x103451))),x103455)),f81(x103451)),x103456),f295(f295(f295(f66(x103451,f910(x103452,x103453),f84(x103451)),f295(f228(x103452,x103453,x103451),x103454)),f81(x103451)),f295(f295(f226(x103452,x103453),x103456),x103455)))+P1(f295(f295(f297(x103452),f605(x103454,x103455,x103453,x103456,x103452,x103451)),x103456)) % 192.26/192.35 [10374]~P83(x103741)+~P1(f295(f62(x103742),x103746))+E(f295(f295(f295(f66(x103741,x103742,f84(x103741)),f295(f295(f18(x103742,f911(x103743,a897),x103741),f295(f295(f7(x103742,x103741,f911(f911(x103743,a897),x103741)),f295(f295(f8(f911(x103743,x103741),f911(x103741,f911(f911(x103743,a897),x103741)),x103742),f66(x103741,x103743,f84(x103741))),x103744)),f81(x103741))),x103745)),f81(x103741)),x103746),f295(f295(f295(f66(x103741,f910(x103742,x103743),f84(x103741)),f295(f228(x103742,x103743,x103741),x103744)),f81(x103741)),f295(f295(f226(x103742,x103743),x103746),x103745)))+~P1(f295(f62(x103743),f295(x103745,f605(x103744,x103745,x103743,x103746,x103742,x103741)))) % 192.26/192.35 [8131]~P19(x81312,x81315,x81316,x81311)+~P1(f295(f62(x81312),x81314))+~P1(f295(f62(x81312),x81313))+E(f295(x81311,f295(f295(f117(f911(x81312,a897)),x81313),x81314)),f295(f295(f74(x81315,x81315,x81315),f295(x81311,x81313)),f295(x81311,x81314))) % 192.26/192.35 [8635]~P6(x86351)+P1(f295(f295(f207(x86351),f295(x86352,x86353)),x86354))+~P1(f295(f295(f297(x86355),x86353),x86356))+~P1(f295(f295(f207(x86351),f295(f295(f44(x86355,x86351),x86356),x86352)),x86354)) % 192.26/192.35 [9087]~P24(x90872,x90871,x90873,x90876)+E(f295(f295(f108(f911(x90871,a897)),f295(f276(x90872,x90871,x90873),x90874)),f295(f276(x90872,x90871,x90873),x90875)),f295(f276(x90872,x90871,x90873),f295(f295(f108(f911(x90872,a897)),x90874),x90875)))+~P1(f295(f295(f207(f911(x90872,a897)),x90875),x90876))+~P1(f295(f295(f207(f911(x90872,a897)),x90874),x90876)) % 192.26/192.35 [9088]~P24(x90882,x90881,x90883,x90886)+E(f295(f295(f23(f911(x90881,a897)),f295(f276(x90882,x90881,x90883),x90884)),f295(f276(x90882,x90881,x90883),x90885)),f295(f276(x90882,x90881,x90883),f295(f295(f23(f911(x90882,a897)),x90884),x90885)))+~P1(f295(f295(f207(f911(x90882,a897)),x90885),x90886))+~P1(f295(f295(f207(f911(x90882,a897)),x90884),x90886)) % 192.26/192.35 [9120]~P1(f295(x91201,x91203))+~P1(f295(f295(f295(f295(a184,x91202),x91203),x91204),x91206))+~P1(f295(f295(f295(f295(a184,f32(x91201,x91202)),x91206),x91204),x91205))+P1(f295(f295(f295(f295(a184,f32(x91201,x91202)),x91203),x91204),x91205)) % 192.26/192.35 [9348]E(x93481,x93482)+~P60(x93483,x93484,x93485)+~P1(f295(f295(f297(f910(x93483,x93484)),f295(f295(f217(x93483,x93484),x93486),x93482)),x93485))+~P1(f295(f295(f297(f910(x93483,x93484)),f295(f295(f217(x93483,x93484),x93486),x93481)),x93485)) % 192.26/192.35 [10021]~P77(x100212)+~E(f377(x100211,x100213,x100215,x100216,x100214,x100212),f378(x100211,x100213,x100215,x100216,x100214,x100212))+~P1(f295(f62(x100214),x100216))+E(f295(f295(f6(x100211,x100212),x100213),f295(f276(x100214,x100211,x100215),x100216)),f295(f295(f6(x100214,x100212),f295(f295(f74(x100211,x100212,x100214),x100213),x100215)),x100216)) % 192.26/192.35 [10065]~P77(x100656)+E(f295(x100651,f377(x100652,x100653,x100651,x100654,x100655,x100656)),f295(x100651,f378(x100652,x100653,x100651,x100654,x100655,x100656)))+~P1(f295(f62(x100655),x100654))+E(f295(f295(f6(x100652,x100656),x100653),f295(f276(x100655,x100652,x100651),x100654)),f295(f295(f6(x100655,x100656),f295(f295(f74(x100652,x100656,x100655),x100653),x100651)),x100654)) % 192.26/192.35 [10109]~P81(x101091)+~E(f295(x101093,f581(x101094,x101096,x101093,x101095,x101092,x101091)),f295(x101096,f581(x101094,x101096,x101093,x101095,x101092,x101091)))+~P1(f295(f62(x101092),x101095))+E(f295(f295(f295(f66(x101091,x101092,f84(x101091)),x101093),x101094),x101095),f295(f295(f295(f66(x101091,x101092,f84(x101091)),x101096),x101094),x101095)) % 192.26/192.35 [10111]~P77(x101112)+~E(f295(x101113,f295(x101115,f378(x101111,x101113,x101115,x101116,x101114,x101112))),f2(x101112))+~P1(f295(f62(x101114),x101116))+E(f295(f295(f6(x101111,x101112),x101113),f295(f276(x101114,x101111,x101115),x101116)),f295(f295(f6(x101114,x101112),f295(f295(f74(x101111,x101112,x101114),x101113),x101115)),x101116)) % 192.26/192.35 [10175]~P81(x101751)+~P1(f295(f62(x101752),x101755))+E(f295(f295(f295(f66(x101751,x101752,f84(x101751)),x101753),x101754),x101755),f295(f295(f295(f66(x101751,x101752,f84(x101751)),x101756),x101754),x101755))+P1(f295(f295(f297(x101752),f581(x101754,x101753,x101756,x101755,x101752,x101751)),x101755)) % 192.26/192.35 [10176]~P77(x101762)+~P1(f295(f62(x101764),x101766))+E(f295(f295(f6(x101761,x101762),x101763),f295(f276(x101764,x101761,x101765),x101766)),f295(f295(f6(x101764,x101762),f295(f295(f74(x101761,x101762,x101764),x101763),x101765)),x101766))+P1(f295(f295(f297(x101764),f378(x101761,x101763,x101765,x101766,x101764,x101762)),x101766)) % 192.26/192.35 [10177]~P77(x101772)+~P1(f295(f62(x101774),x101776))+E(f295(f295(f6(x101771,x101772),x101773),f295(f276(x101774,x101771,x101775),x101776)),f295(f295(f6(x101774,x101772),f295(f295(f74(x101771,x101772,x101774),x101773),x101775)),x101776))+P1(f295(f295(f297(x101774),f377(x101771,x101773,x101775,x101776,x101774,x101772)),x101776)) % 192.26/192.35 [8874]~P81(x88741)+~P1(f295(f62(x88742),x88746))+P1(f295(f295(f297(x88742),x88745),x88746))+E(f295(f295(f295(f66(x88741,x88742,f84(x88741)),x88743),x88744),f295(f295(f275(x88742),x88745),x88746)),f295(f295(f84(x88741),f295(x88743,x88745)),f295(f295(f295(f66(x88741,x88742,f84(x88741)),x88743),x88744),x88746))) % 192.26/192.35 [8929]~P9(x89291,x89296,x89293)+~P10(x89291,f911(x89292,a897),x89293,x89295)+~P1(f295(f295(f297(x89291),x89294),x89296))+E(f295(f295(f44(x89291,f911(x89292,a897)),f295(f252(x89291,x89291,x89293),f295(f295(f275(x89291),x89294),f176(f911(x89291,a897))))),x89295),f295(x89295,x89294)) % 192.26/192.35 [9062]~P15(x90623,x90624,x90621)+~P1(f295(f62(x90623),x90626))+~P1(f295(f295(f297(x90623),x90622),x90626))+E(f295(f295(x90621,x90622),f295(f295(f65(x90623,x90624,x90621),x90625),f295(f295(f23(f911(x90623,a897)),x90626),f295(f295(f275(x90623),x90622),f176(f911(x90623,a897)))))),f295(f295(f65(x90623,x90624,x90621),x90625),x90626)) % 192.26/192.35 [9226]~P18(x92263,x92261,x92266,x92262)+~P1(f295(f62(x92263),x92265))+~P1(f295(f62(x92263),x92264))+E(f295(f295(f74(x92261,x92261,x92261),f295(x92262,f295(f295(f117(f911(x92263,a897)),x92264),x92265))),f295(x92262,f295(f295(f108(f911(x92263,a897)),x92264),x92265))),f295(f295(f74(x92261,x92261,x92261),f295(x92262,x92264)),f295(x92262,x92265))) % 192.26/192.35 [9682]~E(x96823,f295(f295(f148(x96821,x96822),x96825),x96826))+P1(f295(f295(f297(f910(f903(x96821),f903(x96821))),f295(f295(f217(f903(x96821),f903(x96821)),x96822),x96823)),f146(x96821,x96824)))+~P1(f295(f295(f208(a902),x96825),f295(f177(f903(x96821)),x96822)))+~P1(f295(f295(f297(f910(x96821,x96821)),f295(f295(f217(x96821,x96821),f295(f295(f153(x96821),x96822),x96825)),x96826)),x96824)) % 192.26/192.35 [10193]~P77(x101932)+~P1(f295(f62(x101931),x101936))+P1(f295(f295(f297(x101931),f609(x101934,x101935,x101933,x101936,x101931,x101932)),x101936))+E(f295(f295(f6(x101931,x101932),f295(f295(f18(x101931,f911(x101933,a897),x101932),f295(f295(f8(f911(x101933,x101932),f911(f911(x101933,a897),x101932),x101931),f6(x101933,x101932)),x101934)),x101935)),x101936),f295(f295(f6(f910(x101931,x101933),x101932),f295(f228(x101931,x101933,x101932),x101934)),f295(f295(f226(x101931,x101933),x101936),x101935))) % 192.26/192.35 [10194]~P83(x101942)+~P1(f295(f62(x101941),x101946))+P1(f295(f295(f297(x101941),f610(x101944,x101945,x101943,x101946,x101941,x101942)),x101946))+E(f295(f295(f9(x101941,x101942),f295(f295(f18(x101941,f911(x101943,a897),x101942),f295(f295(f8(f911(x101943,x101942),f911(f911(x101943,a897),x101942),x101941),f9(x101943,x101942)),x101944)),x101945)),x101946),f295(f295(f9(f910(x101941,x101943),x101942),f295(f228(x101941,x101943,x101942),x101944)),f295(f295(f226(x101941,x101943),x101946),x101945))) % 192.26/192.35 [10266]~P77(x102662)+~P1(f295(f62(x102661),x102666))+~P1(f295(f62(x102663),f295(x102665,f609(x102664,x102665,x102663,x102666,x102661,x102662))))+E(f295(f295(f6(x102661,x102662),f295(f295(f18(x102661,f911(x102663,a897),x102662),f295(f295(f8(f911(x102663,x102662),f911(f911(x102663,a897),x102662),x102661),f6(x102663,x102662)),x102664)),x102665)),x102666),f295(f295(f6(f910(x102661,x102663),x102662),f295(f228(x102661,x102663,x102662),x102664)),f295(f295(f226(x102661,x102663),x102666),x102665))) % 192.26/192.35 [10267]~P83(x102672)+~P1(f295(f62(x102671),x102676))+~P1(f295(f62(x102673),f295(x102675,f610(x102674,x102675,x102673,x102676,x102671,x102672))))+E(f295(f295(f9(x102671,x102672),f295(f295(f18(x102671,f911(x102673,a897),x102672),f295(f295(f8(f911(x102673,x102672),f911(f911(x102673,a897),x102672),x102671),f9(x102673,x102672)),x102674)),x102675)),x102676),f295(f295(f9(f910(x102671,x102673),x102672),f295(f228(x102671,x102673,x102672),x102674)),f295(f295(f226(x102671,x102673),x102676),x102675))) % 192.26/192.35 [10217]~P83(x102172)+~P1(f295(f62(x102171),x102176))+P1(f295(f295(f297(x102171),x102173),x102176))+E(f295(f295(f9(x102171,x102172),f295(f295(f7(x102171,x102172,x102172),f295(f295(f18(x102171,x102172,f911(x102172,x102172)),f295(f295(f8(a897,f911(x102172,f911(x102172,x102172)),x102171),f103(x102172)),f295(f295(f7(x102171,x102171,a897),a292),x102173))),x102174)),x102175)),x102176),f295(f295(f218(x102172),x102175),f295(f39(x102171),x102176))) % 192.26/192.35 [10220]~P83(x102202)+~P1(f295(f62(x102201),x102206))+~P1(f295(f295(f297(x102201),x102203),x102206))+E(f295(f295(f9(x102201,x102202),f295(f295(f7(x102201,x102202,x102202),f295(f295(f18(x102201,x102202,f911(x102202,x102202)),f295(f295(f8(a897,f911(x102202,f911(x102202,x102202)),x102201),f103(x102202)),f295(f295(f7(x102201,x102201,a897),a292),x102203))),x102204)),x102205)),x102206),f295(f295(f84(x102202),f295(x102204,x102203)),f295(f295(f218(x102202),x102205),f295(f295(f23(a902),f295(f39(x102201),x102206)),f81(a902))))) % 192.26/192.35 [10336]~P1(f295(f62(x103361),x103365))+~P1(f295(f62(x103362),x103363))+P1(f295(f295(f297(x103362),f452(x103366,x103364,x103363,x103362,x103365,x103361)),x103363))+E(f295(f295(f6(x103361,a902),f295(f295(f8(f911(x103362,a897),a902,x103361),f39(x103362)),f295(f295(f8(f911(x103362,a897),f911(x103362,a897),x103361),f212(x103362)),f295(f295(f8(f911(x103362,a897),f911(x103362,a897),x103361),f295(f18(x103362,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103362),a293),f295(f295(f7(x103362,f911(x103362,a897),a897),f297(x103362)),x103363)))),x103364)))),x103365),f295(f295(f84(a902),x103366),f295(f39(x103362),x103363))) % 192.26/192.35 [10337]~P1(f295(f62(x103371),x103375))+~P1(f295(f62(x103372),x103373))+P1(f295(f295(f297(x103372),f425(x103376,x103374,x103373,x103372,x103375,x103371)),x103373))+E(f295(f295(f6(x103371,a902),f295(f295(f8(f911(x103372,a897),a902,x103371),f39(x103372)),f295(f295(f8(f911(x103372,a897),f911(x103372,a897),x103371),f212(x103372)),f295(f295(f8(f911(x103372,a897),f911(x103372,a897),x103371),f295(f18(x103372,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103372),a293),f295(f295(f7(x103372,f911(x103372,a897),a897),f297(x103372)),x103373)))),x103374)))),x103375),f295(f295(f6(x103372,a902),x103376),x103373)) % 192.26/192.35 [10386]~P1(f295(f62(x103862),x103863))+~P1(f295(f62(x103861),x103865))+~E(f295(f39(x103861),f295(f212(x103861),f295(f295(f18(x103861,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103861),a293),f295(f295(f7(x103861,f911(x103861,a897),a897),f297(x103861)),x103865))),f295(f295(f7(x103861,x103862,a897),x103864),f452(x103866,x103864,x103863,x103862,x103865,x103861))))),x103866)+E(f295(f295(f6(x103861,a902),f295(f295(f8(f911(x103862,a897),a902,x103861),f39(x103862)),f295(f295(f8(f911(x103862,a897),f911(x103862,a897),x103861),f212(x103862)),f295(f295(f8(f911(x103862,a897),f911(x103862,a897),x103861),f295(f18(x103862,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103862),a293),f295(f295(f7(x103862,f911(x103862,a897),a897),f297(x103862)),x103863)))),x103864)))),x103865),f295(f295(f84(a902),x103866),f295(f39(x103862),x103863))) % 192.26/192.35 [10389]~P1(f295(f62(x103892),x103893))+~P1(f295(f62(x103891),x103895))+~E(f295(f39(x103891),f295(f212(x103891),f295(f295(f18(x103891,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103891),a293),f295(f295(f7(x103891,f911(x103891,a897),a897),f297(x103891)),x103895))),f295(f295(f7(x103891,x103892,a897),x103894),f425(x103896,x103894,x103893,x103892,x103895,x103891))))),f295(x103896,f425(x103896,x103894,x103893,x103892,x103895,x103891)))+E(f295(f295(f6(x103891,a902),f295(f295(f8(f911(x103892,a897),a902,x103891),f39(x103892)),f295(f295(f8(f911(x103892,a897),f911(x103892,a897),x103891),f212(x103892)),f295(f295(f8(f911(x103892,a897),f911(x103892,a897),x103891),f295(f18(x103892,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103892),a293),f295(f295(f7(x103892,f911(x103892,a897),a897),f297(x103892)),x103893)))),x103894)))),x103895),f295(f295(f6(x103892,a902),x103896),x103893)) % 192.26/192.35 [8872]~P56(x88726,x88727,x88724,x88722,x88721)+~E(x88723,f295(x88724,x88725))+E(f295(x88721,f295(x88722,x88723)),x88723)+~P1(f295(f295(x88724,x88725),x88725)) % 192.26/192.35 [9961]E(x99611,x99612)+~P15(x99613,x99614,x99615)+~P1(f295(f67(x99613,x99614,x99615,x99616,x99617),x99612))+~P1(f295(f67(x99613,x99614,x99615,x99616,x99617),x99611)) % 192.26/192.35 [9758]P1(f295(x97581,x97582))+~P1(f295(f295(f297(x97587),x97582),f295(x97586,x97584)))+~P1(f295(x97581,f853(x97581,x97586,x97585,x97583,x97587)))+~P1(f295(f295(f297(x97583),x97584),x97585)) % 192.26/192.35 [10208]~P15(x102087,x102086,x102081)+E(f295(f295(x102081,x102082),f822(x102082,x102083,x102084,x102085,x102081,x102086,x102087)),x102083)+~P1(f295(f67(x102087,x102086,x102081,x102085,x102084),x102083))+~P1(f295(f295(f297(x102087),x102082),x102084)) % 192.26/192.35 [10302]~P8(x103026,x103025)+~P1(f295(x103021,f295(x103027,x103022)))+~P1(f295(f295(f297(f911(x103024,x103026)),x103027),f236(f911(x103024,x103026),f235(x103024,x103024,x103026,x103026,x103023,x103025))))+P1(f295(x103021,f295(f770(x103022,x103021,x103023,x103024,x103025,x103026),x103022))) % 192.26/192.35 [10311]~P15(x103111,x103112,x103113)+~P1(f295(f67(x103111,x103112,x103113,x103114,x103115),x103117))+P1(f295(f67(x103111,x103112,x103113,x103114,f295(f295(f23(f911(x103111,a897)),x103115),f295(f295(f275(x103111),x103116),f176(f911(x103111,a897))))),f822(x103116,x103117,x103115,x103114,x103113,x103112,x103111)))+~P1(f295(f295(f297(x103111),x103116),x103115)) % 192.26/192.35 [10334]~P43(x103342,x103341,x103344,x103343,x103346)+~E(f459(x103345,x103346,x103343,x103344,x103341,x103342,x103347),x103347)+~P1(f295(x103345,x103347))+P1(f295(f295(f79(f911(x103341,a897),f911(x103342,a897),a897,a897,f79(x103342,x103341,a897,a897,x103343,f36(a897)),f36(a897)),f238(x103342,x103344)),x103345)) % 192.26/192.35 [10346]~P43(x103467,x103466,x103465,x103464,x103463)+E(x103461,f448(x103462,x103463,x103464,x103465,x103466,x103467))+~P1(f295(x103462,x103461))+~P1(f295(f295(f79(f911(x103466,a897),f911(x103467,a897),a897,a897,f79(x103467,x103466,a897,a897,x103464,f36(a897)),f36(a897)),f238(x103467,x103465)),x103462)) % 192.26/192.35 [10376]~P43(x103766,x103765,x103764,x103763,x103762)+~P1(f295(x103761,x103767))+P1(f295(x103761,f459(x103761,x103762,x103763,x103764,x103765,x103766,x103767)))+P1(f295(f295(f79(f911(x103765,a897),f911(x103766,a897),a897,a897,f79(x103766,x103765,a897,a897,x103763,f36(a897)),f36(a897)),f238(x103766,x103764)),x103761)) % 192.26/192.35 [10258]~P43(x102581,x102582,x102586,x102583,x102587)+~P1(f295(x102584,f546(x102584,x102587,x102583,x102586,x102582,x102581)))+~P1(f295(f295(f297(x102581),x102585),f236(x102581,x102586)))+P1(f295(f295(f79(x102581,x102582,a897,a897,x102583,f36(a897)),x102584),x102585)) % 192.26/192.35 [10281]~P43(x102816,x102815,x102814,x102813,x102812)+P1(f295(x102811,f313(x102811,x102812,x102813,x102814,x102815,x102816)))+~P1(f295(f295(f297(x102816),x102817),f236(x102816,x102814)))+~P1(f295(f295(f79(x102816,x102815,a897,a897,x102813,f36(a897)),x102811),x102817)) % 192.26/192.35 [9781]~E(f295(f295(f275(x97811),x97815),x97816),f295(f295(f275(x97811),x97812),x97813))+~P1(f295(f67(x97811,x97811,x97814,x97812,x97813),x97817))+P1(f295(f295(f297(x97811),x97812),x97813))+P1(f295(f63(x97811,x97814,f295(f295(f275(x97811),x97815),x97816)),x97817)) % 192.26/192.35 [9813]~P24(x98132,x98131,x98135,x98134)+~P24(x98131,x98133,x98136,f295(f276(x98132,x98131,x98135),x98134))+E(f295(f295(f295(f74(x98131,x98132,x98133),f80(x98132,x98131,x98134,x98135)),f80(x98131,x98133,f295(f276(x98132,x98131,x98135),x98134),x98136)),x98137),f295(f80(x98132,x98133,x98134,f295(f295(f74(x98131,x98133,x98132),x98136),x98135)),x98137))+~P1(f295(f295(f297(x98133),x98137),f295(f276(x98131,x98133,x98136),f295(f276(x98132,x98131,x98135),x98134)))) % 192.26/192.35 [9814]~P24(x98142,x98141,x98145,x98144)+~P24(x98141,x98143,x98146,f295(f276(x98142,x98141,x98145),x98144))+E(f295(f295(f295(f74(x98141,x98142,x98143),f94(x98142,x98141,x98144,x98145)),f94(x98141,x98143,f295(f276(x98142,x98141,x98145),x98144),x98146)),x98147),f295(f94(x98142,x98143,x98144,f295(f295(f74(x98141,x98143,x98142),x98146),x98145)),x98147))+~P1(f295(f295(f297(x98143),x98147),f295(f276(x98141,x98143,x98146),f295(f276(x98142,x98141,x98145),x98144)))) % 192.26/192.35 [9874]P1(f295(x98741,x98742))+~P1(f295(f295(f297(x98743),x98742),f295(x98744,x98747)))+~P1(f295(f295(f297(x98746),x98747),x98745))+P1(f295(f295(f297(x98743),f853(x98741,x98744,x98745,x98746,x98743)),f295(f295(f44(x98746,f911(x98743,a897)),x98745),x98744))) % 192.26/192.35 [10209]~P15(x102097,x102096,x102091)+E(f295(f295(x102091,x102092),f823(x102093,x102094,x102092,x102095,x102091,x102096,x102097)),x102093)+P1(f295(f295(f297(x102097),x102092),x102094))+~P1(f295(f67(x102097,x102096,x102091,x102095,f295(f295(f275(x102097),x102092),x102094)),x102093)) % 192.26/192.35 [10310]~P15(x103101,x103104,x103105)+P1(f295(f67(x103101,x103104,x103105,x103106,x103103),f823(x103107,x103103,x103102,x103106,x103105,x103104,x103101)))+P1(f295(f295(f297(x103101),x103102),x103103))+~P1(f295(f67(x103101,x103104,x103105,x103106,f295(f295(f275(x103101),x103102),x103103)),x103107)) % 192.26/192.35 [9450]~P81(x94501)+~P24(x94505,x94502,x94506,x94507)+~P1(f295(f62(x94505),x94507))+E(f295(f295(f295(f66(x94501,x94502,f84(x94501)),x94503),x94504),f295(f276(x94505,x94502,x94506),x94507)),f295(f295(f295(f66(x94501,x94505,f84(x94501)),f295(f295(f74(x94502,x94501,x94505),x94503),x94506)),x94504),x94507)) % 192.26/192.35 [9945]E(x99451,f2(a1))+~P1(f295(f50(x99453,x99451),f295(f295(f217(a1,a1),x99455),x99457)))+~P1(f295(f50(x99452,x99451),f295(f295(f217(a1,a1),x99454),x99456)))+P1(f295(f50(f295(f295(f83(a1),x99452),x99453),x99451),f295(f295(f217(a1,a1),f295(f295(f83(a1),f295(f295(f83(a1),x99454),x99455)),f295(f295(f40(a1),f295(f295(f83(a1),x99456),x99457)),x99451))),f46(a1,f295(f295(f83(a1),x99456),x99457),x99451)))) % 192.26/192.35 [9947]~P1(f295(f295(f208(a902),f2(a902)),x99473))+~P1(f295(f49(x99472,x99473),f295(f295(f217(a902,a902),x99475),x99477)))+~P1(f295(f49(x99471,x99473),f295(f295(f217(a902,a902),x99474),x99476)))+P1(f295(f49(f295(f295(f83(a902),x99471),x99472),x99473),f295(f295(f217(a902,a902),f295(f295(f83(a902),f295(f295(f83(a902),x99474),x99475)),f295(f295(f40(a902),f295(f295(f83(a902),x99476),x99477)),x99473))),f46(a902,f295(f295(f83(a902),x99476),x99477),x99473)))) % 192.26/192.35 [10385]~P77(x103852)+~P1(f295(f62(x103853),x103855))+~P1(f295(f62(x103851),x103857))+E(f295(f295(f6(x103851,x103852),f295(f295(f18(x103851,f911(x103853,a897),x103852),f295(f295(f8(f911(x103853,x103852),f911(f911(x103853,a897),x103852),x103851),f6(x103853,x103852)),x103854)),f295(f295(f8(f911(x103853,a897),f911(x103853,a897),x103851),f212(x103853)),f295(f295(f8(f911(x103853,a897),f911(x103853,a897),x103851),f295(f18(x103853,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103853),a293),f295(f295(f7(x103853,f911(x103853,a897),a897),f297(x103853)),x103855)))),x103856)))),x103857),f295(f295(f6(x103853,x103852),f295(f295(f18(x103853,f911(x103851,a897),x103852),f295(f295(f8(f911(x103851,x103852),f911(f911(x103851,a897),x103852),x103853),f6(x103851,x103852)),f295(f7(x103851,x103853,x103852),x103854))),f295(f295(f8(f911(x103851,a897),f911(x103851,a897),x103853),f212(x103851)),f295(f295(f8(f911(x103851,a897),f911(x103851,a897),x103853),f295(f18(x103851,a897,a897),f295(f295(f8(a897,f911(a897,a897),x103851),a293),f295(f295(f7(x103851,f911(x103851,a897),a897),f297(x103851)),x103857)))),f295(f7(x103851,x103853,a897),x103856))))),x103855)) % 192.26/192.35 [10317]~P42(x103171,x103172,x103173,x103174)+P57(x103171,x103172,x103173,x103174,x103175,x103176,x103177,x103178)+~E(f295(x103174,x103175),x103178)+~E(f295(f295(x103173,x103176),x103175),x103177) % 192.26/192.35 [9820]~P21(x98207,x98206,x98201,x98208,x98202,x98204)+E(f295(f295(x98201,f295(x98202,x98203)),f295(x98204,x98205)),f295(x98204,x98205))+~P1(f295(f62(x98206),x98205))+~P1(f295(f295(f297(x98206),x98203),x98205)) % 192.26/192.35 [9825]~P11(x98256,x98251,x98252,x98258,x98253,x98254)+~P9(x98256,x98257,x98258)+P10(x98251,x98252,x98253,f295(x98254,x98255))+~P1(f295(f295(f297(x98256),x98255),x98257)) % 192.26/192.35 [9003]~P18(x90037,x90031,x90038,x90033)+~P1(f295(f62(x90037),x90035))+~P1(f295(f62(x90037),x90034))+E(f295(f295(f74(x90031,x90031,x90032),f295(x90033,x90034)),f295(f295(f74(x90031,x90031,x90032),f295(x90033,x90035)),x90036)),f295(f295(f74(x90031,x90031,x90032),f295(x90033,x90035)),f295(f295(f74(x90031,x90031,x90032),f295(x90033,x90034)),x90036))) % 192.26/192.35 [9458]~P34(x94581,x94582,x94583,x94584,x94587)+P34(x94581,x94582,x94583,f295(f295(f148(x94581,x94584),x94585),x94586),f295(f295(f148(x94582,x94587),x94585),x94588))+~P1(f295(f295(x94583,x94586),x94588))+~P1(f295(f295(f208(a902),x94585),f295(f177(f903(x94581)),x94584))) % 192.26/192.35 [9459]~P34(x94591,x94592,x94593,x94594,x94597)+P34(x94591,x94592,x94593,f295(f295(f148(x94591,x94594),x94595),x94596),f295(f295(f148(x94592,x94597),x94595),x94598))+~P1(f295(f295(x94593,x94596),x94598))+~P1(f295(f295(f208(a902),x94595),f295(f177(f903(x94592)),x94597))) % 192.26/192.35 [9822]~P22(x98227,x98222,x98225,x98228,x98226,x98221)+~P1(f295(f62(x98222),x98224))+E(f295(x98221,f295(f295(f275(x98222),x98223),x98224)),f295(f295(x98225,f295(x98226,x98223)),f295(x98221,x98224)))+P1(f295(f295(f297(x98222),x98223),x98224)) % 192.26/192.35 [9834]~P21(x98346,x98345,x98341,x98347,x98348,x98342)+E(f295(f295(x98341,f295(x98342,x98343)),f295(x98342,x98344)),f295(x98342,x98344))+~P1(f295(f62(x98345),x98344))+~P1(f295(f295(f207(f911(x98345,a897)),x98343),x98344)) % 192.26/192.35 [9413]~P24(x94132,x94132,x94135,x94136)+~P20(x94133,x94132,x94137,x94138,x94131)+~P1(f295(f62(x94132),x94136))+E(f295(f295(x94131,f295(f295(f74(x94132,x94133,x94132),x94134),x94135)),x94136),f295(f295(x94131,x94134),f295(f276(x94132,x94132,x94135),x94136))) % 192.26/192.35 [9439]P1(f295(f295(f297(f910(f903(x94391),f903(x94391))),f295(f295(f217(f903(x94391),f903(x94391)),x94392),x94393)),f146(x94391,x94394)))+~E(x94393,f295(f295(f122(x94391),x94395),f295(f295(f140(x94391),x94396),x94397)))+~E(x94392,f295(f295(f122(x94391),x94395),f295(f295(f140(x94391),x94398),x94397)))+~P1(f295(f295(f297(f910(x94391,x94391)),f295(f295(f217(x94391,x94391),x94398),x94396)),x94394)) % 192.26/192.35 [9828]~P21(x98286,x98282,x98285,x98287,x98288,x98281)+~P1(f295(f62(x98282),x98284))+~P1(f295(f62(x98282),x98283))+E(f295(x98281,f295(f295(f117(f911(x98282,a897)),x98283),x98284)),f295(f295(x98285,f295(x98281,x98283)),f295(x98281,x98284))) % 192.26/192.35 [10423]~P24(x104234,x104232,x104235,x104238)+E(f295(f295(f43(x104231,f911(x104232,a897)),x104233),f295(f295(f8(f911(x104234,a897),f911(x104232,a897),x104231),f276(x104234,x104232,x104235)),x104236)),f295(f276(x104234,x104232,x104235),f295(f295(f43(x104231,f911(x104234,a897)),x104233),x104236)))+~P1(f295(f295(f297(x104231),x104237),x104233))+P1(f295(f295(f297(x104231),f360(x104237,x104236,x104233,x104231,x104238,x104235,x104232,x104234)),x104233)) % 192.26/192.35 [10444]~P24(x104444,x104442,x104445,x104447)+E(f295(f295(f43(x104441,f911(x104442,a897)),x104443),f295(f295(f8(f911(x104444,a897),f911(x104442,a897),x104441),f276(x104444,x104442,x104445)),x104446)),f295(f276(x104444,x104442,x104445),f295(f295(f43(x104441,f911(x104444,a897)),x104443),x104446)))+~P1(f295(f295(f297(x104441),x104448),x104443))+~P1(f295(f295(f207(f911(x104444,a897)),f295(x104446,f360(x104448,x104446,x104443,x104441,x104447,x104445,x104442,x104444))),x104447)) % 192.26/192.35 [9898]~P22(x98987,x98985,x98981,x98988,x98982,x98984)+~P1(f295(f62(x98985),x98986))+~P1(f295(f295(f297(x98985),x98983),x98986))+E(f295(f295(x98981,f295(x98982,x98983)),f295(x98984,f295(f295(f23(f911(x98985,a897)),x98986),f295(f295(f275(x98985),x98983),f176(f911(x98985,a897)))))),f295(x98984,x98986)) % 192.26/192.35 [9905]~P22(x99056,x99053,x99051,x99057,x99058,x99052)+~P1(f295(f62(x99053),x99055))+~P1(f295(f62(x99053),x99054))+E(f295(f295(x99051,f295(x99052,f295(f295(f117(f911(x99053,a897)),x99054),x99055))),f295(x99052,f295(f295(f108(f911(x99053,a897)),x99054),x99055))),f295(f295(x99051,f295(x99052,x99054)),f295(x99052,x99055))) % 192.26/192.35 [9988]P44(x99881,x99882,x99883,x99884,x99885,f295(f295(x99883,x99886),x99887))+~P44(x99881,x99882,x99883,x99884,f295(f295(f23(f911(x99881,a897)),x99885),f295(f295(f275(x99881),x99888),f176(f911(x99881,a897)))),x99889)+~E(f295(f295(x99883,x99886),x99887),f295(f295(x99883,x99888),x99889))+~P1(f295(f295(f297(x99881),x99888),x99885)) % 192.26/192.35 [9930]~P11(x99306,x99307,x99308,x99309,x993010,x99301)+E(f295(f295(x99301,x99302),x99303),f295(f295(x99301,x99304),x99305))+~P1(f295(f295(f297(f910(x99307,x99307)),f295(f295(f217(x99307,x99307),x99303),x99305)),x993010))+~P1(f295(f295(f297(f910(x99306,x99306)),f295(f295(f217(x99306,x99306),x99302),x99304)),x99309)) % 192.26/192.35 [10326]~P43(x103264,x103262,x1032613,x1032612,x103268)+~P43(x103263,x103261,x1032614,x103267,x1032610)+~P43(x103265,x103266,x1032615,x103269,x1032611)+E(f295(f79(f911(x103261,x103262),f911(x103263,x103264),f911(f911(x103265,x103263),f911(x103265,x103264)),f911(f911(x103266,x103261),f911(x103266,x103262)),f79(x103263,x103261,x103262,x103264,x103267,x103268),f79(f911(x103266,x103261),f911(x103265,x103263),f911(x103265,x103264),f911(x103266,x103262),f79(x103265,x103266,x103261,x103263,x103269,x1032610),f79(x103266,x103265,x103264,x103262,x1032611,x1032612))),f74(x103263,x103264,x103265)),f74(x103261,x103262,x103266)) % 192.26/192.35 [10312]~P43(x103127,x103128,x103129,x1031210,x1031211)+~P43(x1031212,x1031213,x1031214,x1031215,x1031216)+~P43(x103123,x103124,x1031217,x103125,x103126)+E(f295(f79(f911(x103121,x103122),f911(x103121,x103122),f911(f911(x103123,x103121),f911(x103123,x103122)),f911(f911(x103124,x103121),f911(x103124,x103122)),f36(f911(x103121,x103122)),f79(f911(x103124,x103121),f911(x103123,x103121),f911(x103123,x103122),f911(x103124,x103122),f79(x103123,x103124,x103121,x103121,x103125,f36(x103121)),f79(x103124,x103123,x103122,x103122,x103126,f36(x103122)))),f74(x103121,x103122,x103123)),f74(x103121,x103122,x103124)) % 192.26/192.35 [9537]~P99(x95372)+E(x95371,f176(f911(x95372,a897)))+~P1(f295(f62(x95372),x95371))+P1(f295(f295(f297(x95372),f10(x95372,x95371)),x95371))+~P1(f295(f295(f297(x95372),f295(f295(f117(x95372),f383(x95371,x95372)),f386(x95371,x95372))),f295(f295(f275(x95372),f383(x95371,x95372)),f295(f295(f275(x95372),f386(x95371,x95372)),f176(f911(x95372,a897)))))) % 192.26/192.35 [9538]~P99(x95382)+E(x95381,f176(f911(x95382,a897)))+~P1(f295(f62(x95382),x95381))+P1(f295(f295(f297(x95382),f11(x95382,x95381)),x95381))+~P1(f295(f295(f297(x95382),f295(f295(f108(x95382),f384(x95381,x95382)),f385(x95381,x95382))),f295(f295(f275(x95382),f384(x95381,x95382)),f295(f295(f275(x95382),f385(x95381,x95382)),f176(f911(x95382,a897)))))) % 192.26/192.35 [9567]~P81(x95672)+E(x95671,f176(f911(x95672,a897)))+~P1(f295(f62(x95672),x95671))+P1(f295(f295(f297(x95672),f295(f64(x95672,f84(x95672)),x95671)),x95671))+~P1(f295(f295(f297(x95672),f295(f295(f84(x95672),f558(x95671,x95672)),f560(x95671,x95672))),f295(f295(f275(x95672),f558(x95671,x95672)),f295(f295(f275(x95672),f560(x95671,x95672)),f176(f911(x95672,a897)))))) % 192.26/192.35 [9573]~P114(x95732)+E(x95731,f176(f911(x95732,a897)))+~P1(f295(f62(x95732),x95731))+P1(f295(f295(f297(x95732),f12(x95732,f205(x95732),x95731)),x95731))+~P1(f295(f295(f297(x95732),f295(f295(f205(x95732),f430(x95731,x95732)),f431(x95731,x95732))),f295(f295(f275(x95732),f430(x95731,x95732)),f295(f295(f275(x95732),f431(x95731,x95732)),f176(f911(x95732,a897)))))) % 192.26/192.35 [9574]~P114(x95742)+E(x95741,f176(f911(x95742,a897)))+~P1(f295(f62(x95742),x95741))+P1(f295(f295(f297(x95742),f13(x95742,f206(x95742),x95741)),x95741))+~P1(f295(f295(f297(x95742),f295(f295(f206(x95742),f442(x95741,x95742)),f443(x95741,x95742))),f295(f295(f275(x95742),f442(x95741,x95742)),f295(f295(f275(x95742),f443(x95741,x95742)),f176(f911(x95742,a897)))))) % 192.26/192.35 [6681]~P91(x66812)+E(x66811,f2(x66812))+~E(f295(f295(f83(x66812),x66813),x66811),f2(x66812))+~P1(f295(f295(f207(x66812),f2(x66812)),x66813))+~P1(f295(f295(f207(x66812),f2(x66812)),x66811)) % 192.26/192.35 [6682]~P91(x66822)+E(x66821,f2(x66822))+~E(f295(f295(f83(x66822),x66821),x66823),f2(x66822))+~P1(f295(f295(f207(x66822),f2(x66822)),x66823))+~P1(f295(f295(f207(x66822),f2(x66822)),x66821)) % 192.26/192.35 [7204]~P114(x72042)+~P12(x72042,x72041)+E(x72041,f120(x72042))+~P1(f295(f295(f297(x72042),x72043),f295(f160(x72042),f708(x72041,x72042))))+P1(f295(f295(f207(x72042),f723(x72041,x72042)),x72043)) % 192.26/192.35 [7375]~P114(x73751)+E(f14(x73751,x73752),x73753)+~P1(f295(f62(x73751),x73752))+~P1(f295(f295(f207(x73751),x73753),f579(x73753,x73752,x73751)))+~P1(f295(f295(f297(x73751),x73753),x73752)) % 192.26/192.35 [7408]~P114(x74081)+~P12(x74081,x74082)+~P12(x74081,x74083)+P12(x74081,f295(f295(f122(x74081),x74082),x74083))+P1(f295(f295(f297(x74081),f704(x74083,x74082,x74081)),f295(f160(x74081),x74082))) % 192.26/192.35 [7409]~P114(x74091)+~P12(x74091,x74092)+~P12(x74091,x74093)+P12(x74091,f295(f295(f122(x74091),x74092),x74093))+P1(f295(f295(f297(x74091),f705(x74093,x74092,x74091)),f295(f160(x74091),x74093))) % 192.26/192.35 [7468]~P114(x74681)+E(f14(x74681,x74682),x74683)+~P1(f295(f62(x74681),x74682))+P1(f295(f295(f297(x74681),f579(x74683,x74682,x74681)),x74682))+~P1(f295(f295(f297(x74681),x74683),x74682)) % 192.26/192.35 [7469]~P114(x74691)+E(f15(x74691,x74692),x74693)+~P1(f295(f62(x74691),x74692))+P1(f295(f295(f297(x74691),f580(x74693,x74692,x74691)),x74692))+~P1(f295(f295(f297(x74691),x74693),x74692)) % 192.26/192.35 [8038]~P114(x80381)+E(f15(x80381,x80382),x80383)+~P1(f295(f62(x80381),x80382))+~P1(f295(f295(f297(x80381),x80383),x80382))+~P1(f295(f295(f207(x80381),f580(x80383,x80382,x80381)),x80383)) % 192.26/192.35 [8364]~P114(x83641)+~P12(x83641,x83642)+~P12(x83641,x83643)+P12(x83641,f295(f295(f122(x83641),x83642),x83643))+~P1(f295(f295(f207(x83641),f704(x83643,x83642,x83641)),f705(x83643,x83642,x83641))) % 192.26/192.35 [9189]~P99(x91892)+E(x91891,f176(f911(x91892,a897)))+~E(f295(f295(f117(x91892),f295(x91893,f394(x91891,x91893,x91892))),f295(x91893,f396(x91891,x91893,x91892))),f295(x91893,f295(f295(f117(x91892),f394(x91891,x91893,x91892)),f396(x91891,x91893,x91892))))+E(f10(x91892,f295(f276(x91892,x91892,x91893),x91891)),f295(x91893,f10(x91892,x91891)))+~P1(f295(f62(x91892),x91891)) % 192.26/192.35 [9190]~P99(x91902)+E(x91901,f176(f911(x91902,a897)))+~E(f295(f295(f108(x91902),f295(x91903,f382(x91901,x91903,x91902))),f295(x91903,f395(x91901,x91903,x91902))),f295(x91903,f295(f295(f108(x91902),f382(x91901,x91903,x91902)),f395(x91901,x91903,x91902))))+E(f11(x91902,f295(f276(x91902,x91902,x91903),x91901)),f295(x91903,f11(x91902,x91901)))+~P1(f295(f62(x91902),x91901)) % 192.26/192.35 [9191]~P114(x91912)+E(x91911,f176(f911(x91912,a897)))+~E(f295(f295(f205(x91912),f295(x91913,f437(x91911,x91913,x91912))),f295(x91913,f447(x91911,x91913,x91912))),f295(x91913,f295(f295(f205(x91912),f437(x91911,x91913,x91912)),f447(x91911,x91913,x91912))))+E(f14(x91912,f295(f276(x91912,x91912,x91913),x91911)),f295(x91913,f14(x91912,x91911)))+~P1(f295(f62(x91912),x91911)) % 192.26/192.35 [9192]~P114(x91922)+E(x91921,f176(f911(x91922,a897)))+~E(f295(f295(f206(x91922),f295(x91923,f438(x91921,x91923,x91922))),f295(x91923,f446(x91921,x91923,x91922))),f295(x91923,f295(f295(f206(x91922),f438(x91921,x91923,x91922)),f446(x91921,x91923,x91922))))+E(f15(x91922,f295(f276(x91922,x91922,x91923),x91921)),f295(x91923,f15(x91922,x91921)))+~P1(f295(f62(x91922),x91921)) % 192.26/192.35 [9257]~P114(x92572)+E(x92571,f176(f911(x92572,a897)))+~E(f295(f295(f205(x92572),f295(x92573,f439(x92571,x92573,x92572))),f295(x92573,f445(x92571,x92573,x92572))),f295(x92573,f295(f295(f205(x92572),f439(x92571,x92573,x92572)),f445(x92571,x92573,x92572))))+E(f12(x92572,f205(x92572),f295(f276(x92572,x92572,x92573),x92571)),f295(x92573,f12(x92572,f205(x92572),x92571)))+~P1(f295(f62(x92572),x92571)) % 192.26/192.35 [9258]~P114(x92582)+E(x92581,f176(f911(x92582,a897)))+~E(f295(f295(f206(x92582),f295(x92583,f440(x92581,x92583,x92582))),f295(x92583,f444(x92581,x92583,x92582))),f295(x92583,f295(f295(f206(x92582),f440(x92581,x92583,x92582)),f444(x92581,x92583,x92582))))+E(f13(x92582,f206(x92582),f295(f276(x92582,x92582,x92583),x92581)),f295(x92583,f13(x92582,f206(x92582),x92581)))+~P1(f295(f62(x92582),x92581)) % 192.26/192.35 [6696]~P81(x66962)+E(x66961,f176(f911(x66962,a897)))+~P1(f295(f62(x66962),x66961))+E(f295(f64(x66962,f84(x66962)),f295(f295(f275(x66962),x66963),x66961)),f295(f295(f84(x66962),x66963),f295(f64(x66962,f84(x66962)),x66961)))+P1(f295(f295(f297(x66962),x66963),x66961)) % 192.26/192.35 [7211]~P99(x72112)+E(f295(f295(f117(x72112),f10(x72112,x72111)),f10(x72112,x72113)),f10(x72112,x72113))+E(x72111,f176(f911(x72112,a897)))+~P1(f295(f62(x72112),x72113))+~P1(f295(f295(f207(f911(x72112,a897)),x72111),x72113)) % 192.26/192.35 [7212]~P99(x72122)+E(f295(f295(f108(x72122),f11(x72122,x72121)),f11(x72122,x72123)),f11(x72122,x72123))+E(x72121,f176(f911(x72122,a897)))+~P1(f295(f62(x72122),x72123))+~P1(f295(f295(f207(f911(x72122,a897)),x72121),x72123)) % 192.26/192.35 [7213]~P114(x72132)+E(f295(f295(f205(x72132),f14(x72132,x72131)),f14(x72132,x72133)),f14(x72132,x72133))+E(x72131,f176(f911(x72132,a897)))+~P1(f295(f62(x72132),x72133))+~P1(f295(f295(f207(f911(x72132,a897)),x72131),x72133)) % 192.26/192.35 [7214]~P114(x72142)+E(f295(f295(f206(x72142),f15(x72142,x72141)),f15(x72142,x72143)),f15(x72142,x72143))+E(x72141,f176(f911(x72142,a897)))+~P1(f295(f62(x72142),x72143))+~P1(f295(f295(f207(f911(x72142,a897)),x72141),x72143)) % 192.26/192.35 [7519]~P114(x75192)+E(x75191,f176(f911(x75192,a897)))+~P1(f295(f62(x75192),x75193))+P1(f295(f295(f207(x75192),f14(x75192,x75193)),f14(x75192,x75191)))+~P1(f295(f295(f207(f911(x75192,a897)),x75191),x75193)) % 192.26/192.35 [7520]~P114(x75202)+E(x75201,f176(f911(x75202,a897)))+~P1(f295(f62(x75202),x75203))+P1(f295(f295(f207(x75202),f15(x75202,x75201)),f15(x75202,x75203)))+~P1(f295(f295(f207(f911(x75202,a897)),x75201),x75203)) % 192.26/192.35 [7574]~P99(x75741)+E(f10(x75741,x75742),x75743)+~P1(f295(f62(x75741),x75742))+~E(f295(f295(f23(f911(x75741,a897)),x75742),f295(f295(f275(x75741),x75743),f176(f911(x75741,a897)))),f176(f911(x75741,a897)))+~P1(f295(f295(f297(x75741),x75743),x75742)) % 192.26/192.35 [7575]~P99(x75751)+E(f11(x75751,x75752),x75753)+~P1(f295(f62(x75751),x75752))+~E(f295(f295(f23(f911(x75751,a897)),x75752),f295(f295(f275(x75751),x75753),f176(f911(x75751,a897)))),f176(f911(x75751,a897)))+~P1(f295(f295(f297(x75751),x75753),x75752)) % 192.26/192.35 [7576]~P114(x75761)+E(f14(x75761,x75762),x75763)+~P1(f295(f62(x75761),x75762))+~E(f295(f295(f23(f911(x75761,a897)),x75762),f295(f295(f275(x75761),x75763),f176(f911(x75761,a897)))),f176(f911(x75761,a897)))+~P1(f295(f295(f297(x75761),x75763),x75762)) % 192.26/192.35 [7577]~P114(x75771)+E(f15(x75771,x75772),x75773)+~P1(f295(f62(x75771),x75772))+~E(f295(f295(f23(f911(x75771,a897)),x75772),f295(f295(f275(x75771),x75773),f176(f911(x75771,a897)))),f176(f911(x75771,a897)))+~P1(f295(f295(f297(x75771),x75773),x75772)) % 192.26/192.35 [7669]~P114(x76691)+E(f12(x76691,f205(x76691),x76692),x76693)+~P1(f295(f62(x76691),x76692))+~E(f295(f295(f23(f911(x76691,a897)),x76692),f295(f295(f275(x76691),x76693),f176(f911(x76691,a897)))),f176(f911(x76691,a897)))+~P1(f295(f295(f297(x76691),x76693),x76692)) % 192.26/192.35 [7670]~P114(x76701)+E(f13(x76701,f206(x76701),x76702),x76703)+~P1(f295(f62(x76701),x76702))+~E(f295(f295(f23(f911(x76701,a897)),x76702),f295(f295(f275(x76701),x76703),f176(f911(x76701,a897)))),f176(f911(x76701,a897)))+~P1(f295(f295(f297(x76701),x76703),x76702)) % 192.26/192.35 [7705]~P110(x77052)+E(x77051,f176(f911(x77052,a897)))+~P1(f295(f62(x77052),x77051))+~P1(f295(f295(f207(x77052),x77053),f547(x77053,x77051,x77052)))+P1(f295(f295(f207(x77052),x77053),f295(f64(x77052,f108(x77052)),x77051))) % 192.26/192.35 [7706]~P114(x77062)+E(x77061,f176(f911(x77062,a897)))+~P1(f295(f62(x77062),x77061))+~P1(f295(f295(f207(x77062),x77063),f552(x77063,x77061,x77062)))+P1(f295(f295(f207(x77062),x77063),f295(f64(x77062,f205(x77062)),x77061))) % 192.26/192.35 [7707]~P114(x77072)+E(x77071,f176(f911(x77072,a897)))+~P1(f295(f62(x77072),x77071))+~P1(f295(f295(f208(x77072),x77073),f553(x77073,x77071,x77072)))+P1(f295(f295(f208(x77072),x77073),f295(f64(x77072,f205(x77072)),x77071))) % 192.26/192.35 [7792]~P110(x77922)+E(x77921,f176(f911(x77922,a897)))+~P1(f295(f62(x77922),x77921))+P1(f295(f295(f297(x77922),f547(x77923,x77921,x77922)),x77921))+P1(f295(f295(f207(x77922),x77923),f295(f64(x77922,f108(x77922)),x77921))) % 192.26/192.35 [7793]~P114(x77932)+E(x77931,f176(f911(x77932,a897)))+~P1(f295(f62(x77932),x77931))+P1(f295(f295(f297(x77932),f552(x77933,x77931,x77932)),x77931))+P1(f295(f295(f207(x77932),x77933),f295(f64(x77932,f205(x77932)),x77931))) % 192.26/192.35 [7794]~P114(x77942)+E(x77941,f176(f911(x77942,a897)))+~P1(f295(f62(x77942),x77941))+P1(f295(f295(f297(x77942),f553(x77943,x77941,x77942)),x77941))+P1(f295(f295(f208(x77942),x77943),f295(f64(x77942,f205(x77942)),x77941))) % 192.26/192.35 [7917]~P114(x79172)+E(x79171,f176(f911(x79172,a897)))+E(f295(f295(f205(x79172),f12(x79172,f205(x79172),x79171)),f12(x79172,f205(x79172),x79173)),f12(x79172,f205(x79172),x79173))+~P1(f295(f62(x79172),x79173))+~P1(f295(f295(f207(f911(x79172,a897)),x79171),x79173)) % 192.26/192.35 [7918]~P114(x79182)+E(x79181,f176(f911(x79182,a897)))+E(f295(f295(f206(x79182),f13(x79182,f206(x79182),x79181)),f13(x79182,f206(x79182),x79183)),f13(x79182,f206(x79182),x79183))+~P1(f295(f62(x79182),x79183))+~P1(f295(f295(f207(f911(x79182,a897)),x79181),x79183)) % 192.26/192.35 [8117]~E(f527(x81171,x81173,x81172),f528(x81171,x81173,x81172))+~E(f295(f39(x81172),f529(x81171,x81173,x81172)),x81171)+E(f295(f295(f84(a902),x81171),f295(f39(f911(x81172,a897)),x81173)),f295(f39(x81172),f41(f911(x81172,a897),x81173)))+~P1(f295(f62(x81172),f41(f911(x81172,a897),x81173)))+~P1(f295(f62(f911(x81172,a897)),x81173)) % 192.26/192.35 [8302]~P114(x83022)+E(x83021,f176(f911(x83022,a897)))+~P1(f295(f62(x83022),x83023))+P1(f295(f295(f207(x83022),f295(f64(x83022,f205(x83022)),x83023)),f295(f64(x83022,f205(x83022)),x83021)))+~P1(f295(f295(f207(f911(x83022,a897)),x83021),x83023)) % 192.26/192.35 [8606]~E(f527(x86061,x86063,x86062),f528(x86061,x86063,x86062))+E(f295(f295(f84(a902),x86061),f295(f39(f911(x86062,a897)),x86063)),f295(f39(x86062),f41(f911(x86062,a897),x86063)))+P1(f295(f295(f297(f911(x86062,a897)),f529(x86061,x86063,x86062)),x86063))+~P1(f295(f62(x86062),f41(f911(x86062,a897),x86063)))+~P1(f295(f62(f911(x86062,a897)),x86063)) % 192.26/192.35 [8632]~E(f295(f39(x86322),f529(x86321,x86323,x86322)),x86321)+E(f295(f295(f84(a902),x86321),f295(f39(f911(x86322,a897)),x86323)),f295(f39(x86322),f41(f911(x86322,a897),x86323)))+P1(f295(f295(f297(f911(x86322,a897)),f528(x86321,x86323,x86322)),x86323))+~P1(f295(f62(x86322),f41(f911(x86322,a897),x86323)))+~P1(f295(f62(f911(x86322,a897)),x86323)) % 192.26/192.35 [8633]~E(f295(f39(x86332),f529(x86331,x86333,x86332)),x86331)+E(f295(f295(f84(a902),x86331),f295(f39(f911(x86332,a897)),x86333)),f295(f39(x86332),f41(f911(x86332,a897),x86333)))+P1(f295(f295(f297(f911(x86332,a897)),f527(x86331,x86333,x86332)),x86333))+~P1(f295(f62(x86332),f41(f911(x86332,a897),x86333)))+~P1(f295(f62(f911(x86332,a897)),x86333)) % 192.26/192.35 [8660]~E(f295(f39(x86602),f529(x86601,x86603,x86602)),x86601)+~E(f295(f295(f108(f911(x86602,a897)),f528(x86601,x86603,x86602)),f527(x86601,x86603,x86602)),f176(f911(x86602,a897)))+E(f295(f295(f84(a902),x86601),f295(f39(f911(x86602,a897)),x86603)),f295(f39(x86602),f41(f911(x86602,a897),x86603)))+~P1(f295(f62(f911(x86602,a897)),x86603))+~P1(f295(f62(x86602),f41(f911(x86602,a897),x86603))) % 192.26/192.35 [8935]E(f295(f295(f84(a902),x89351),f295(f39(f911(x89352,a897)),x89353)),f295(f39(x89352),f41(f911(x89352,a897),x89353)))+P1(f295(f295(f297(f911(x89352,a897)),f529(x89351,x89353,x89352)),x89353))+P1(f295(f295(f297(f911(x89352,a897)),f528(x89351,x89353,x89352)),x89353))+~P1(f295(f62(f911(x89352,a897)),x89353))+~P1(f295(f62(x89352),f41(f911(x89352,a897),x89353))) % 192.26/192.35 [8936]E(f295(f295(f84(a902),x89361),f295(f39(f911(x89362,a897)),x89363)),f295(f39(x89362),f41(f911(x89362,a897),x89363)))+P1(f295(f295(f297(f911(x89362,a897)),f529(x89361,x89363,x89362)),x89363))+P1(f295(f295(f297(f911(x89362,a897)),f527(x89361,x89363,x89362)),x89363))+~P1(f295(f62(f911(x89362,a897)),x89363))+~P1(f295(f62(x89362),f41(f911(x89362,a897),x89363))) % 192.26/192.35 [8960]~E(f295(f295(f108(f911(x89602,a897)),f528(x89601,x89603,x89602)),f527(x89601,x89603,x89602)),f176(f911(x89602,a897)))+E(f295(f295(f84(a902),x89601),f295(f39(f911(x89602,a897)),x89603)),f295(f39(x89602),f41(f911(x89602,a897),x89603)))+~P1(f295(f62(f911(x89602,a897)),x89603))+P1(f295(f295(f297(f911(x89602,a897)),f529(x89601,x89603,x89602)),x89603))+~P1(f295(f62(x89602),f41(f911(x89602,a897),x89603))) % 192.26/192.35 [9233]~P106(x92332)+E(x92331,f176(f911(x92332,a897)))+~E(f295(f295(f84(x92332),f295(x92333,f557(x92331,x92333,x92332))),f295(x92333,f561(x92331,x92333,x92332))),f295(x92333,f295(f295(f84(x92332),f557(x92331,x92333,x92332)),f561(x92331,x92333,x92332))))+~P1(f295(f62(x92332),x92331))+E(f295(f64(x92332,f84(x92332)),f295(f276(x92332,x92332,x92333),x92331)),f295(x92333,f295(f64(x92332,f84(x92332)),x92331))) % 192.26/192.35 [10145]P1(f295(f295(x101451,x101452),x101453))+P1(f295(f295(f208(a1),f598(x101451,x101453,x101452)),f599(x101451,x101453,x101452)))+P1(f295(f295(f207(a1),f599(x101451,x101453,x101452)),f2(a1)))+P1(f295(f295(x101451,f598(x101451,x101453,x101452)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f599(x101451,x101453,x101452))))+~P1(f295(f284(f910(a1,a1),a59),f295(f295(f217(a1,a1),x101452),x101453))) % 192.26/192.35 [10151]P1(f295(f295(x101511,x101512),x101513))+P1(f295(f295(f207(a1),f597(x101511,x101513,x101512)),f2(a1)))+P1(f295(f295(x101511,f596(x101511,x101513,x101512)),f295(f295(f84(a1),f295(f110(a1),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f597(x101511,x101513,x101512))))+P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),f596(x101511,x101513,x101512)),f597(x101511,x101513,x101512))))+~P1(f295(f284(f910(a1,a1),a53),f295(f295(f217(a1,a1),x101512),x101513))) % 192.26/192.35 [8088]~P119(x80881)+~P1(f295(f295(f207(x80881),x80882),f81(x80881)))+~P1(f295(f295(f207(x80881),f2(x80881)),x80882))+~P1(f295(f295(f207(x80881),f2(x80881)),x80883))+P1(f295(f295(f207(x80881),f295(f295(f84(x80881),x80882),x80883)),x80883)) % 192.26/192.35 [8089]~P119(x80891)+~P1(f295(f295(f207(x80891),x80893),f81(x80891)))+~P1(f295(f295(f207(x80891),f2(x80891)),x80893))+~P1(f295(f295(f207(x80891),f2(x80891)),x80892))+P1(f295(f295(f207(x80891),f295(f295(f84(x80891),x80892),x80893)),x80892)) % 192.26/192.35 [8453]~P114(x84532)+E(x84531,f176(f911(x84532,a897)))+~P1(f295(f62(x84532),x84531))+P1(f295(f295(f297(x84532),f554(x84533,x84531,x84532)),x84531))+~P1(f295(f295(f207(x84532),f295(f64(x84532,f205(x84532)),x84531)),x84533)) % 192.26/192.35 [8454]~P114(x84542)+E(x84541,f176(f911(x84542,a897)))+~P1(f295(f62(x84542),x84541))+P1(f295(f295(f297(x84542),f556(x84543,x84541,x84542)),x84541))+~P1(f295(f295(f208(x84542),f295(f64(x84542,f205(x84542)),x84541)),x84543)) % 192.26/192.35 [8455]~P114(x84552)+E(x84551,f176(f911(x84552,a897)))+~P1(f295(f62(x84552),x84551))+P1(f295(f295(f207(x84552),f554(x84553,x84551,x84552)),x84553))+~P1(f295(f295(f207(x84552),f295(f64(x84552,f205(x84552)),x84551)),x84553)) % 192.26/192.35 [8456]~P114(x84562)+E(x84561,f176(f911(x84562,a897)))+~P1(f295(f62(x84562),x84561))+P1(f295(f295(f208(x84562),f556(x84563,x84561,x84562)),x84563))+~P1(f295(f295(f208(x84562),f295(f64(x84562,f205(x84562)),x84561)),x84563)) % 192.26/192.35 [8537]~P1(f295(x85371,x85373))+P1(f295(x85371,f515(x85371,x85372)))+P1(f295(x85371,f505(x85371,x85372)))+~P1(f295(f295(f208(a1),f2(a1)),x85372))+P1(f295(x85371,f295(f295(f23(a1),f505(x85371,x85372)),f295(f295(f84(a1),f516(x85371,x85372)),x85372)))) % 192.26/192.35 [8768]~P1(f295(x87681,x87683))+P1(f295(x87681,f505(x87681,x87682)))+~P1(f295(f295(f208(a1),f2(a1)),x87682))+P1(f295(f295(f297(a1),f515(x87681,x87682)),f269(a1,f81(a1),x87682)))+P1(f295(x87681,f295(f295(f23(a1),f505(x87681,x87682)),f295(f295(f84(a1),f516(x87681,x87682)),x87682)))) % 192.26/192.35 [8985]~P1(f295(x89851,x89853))+~P1(f295(x89851,f505(x89851,x89852)))+P1(f295(x89851,f515(x89851,x89852)))+~P1(f295(f295(f208(a1),f2(a1)),x89852))+~P1(f295(x89851,f295(f295(f23(a1),f505(x89851,x89852)),f295(f295(f84(a1),f516(x89851,x89852)),x89852)))) % 192.26/192.35 [9118]~P1(f295(x91181,x91183))+~P1(f295(x91181,f505(x91181,x91182)))+~P1(f295(f295(f208(a1),f2(a1)),x91182))+P1(f295(f295(f297(a1),f515(x91181,x91182)),f269(a1,f81(a1),x91182)))+~P1(f295(x91181,f295(f295(f23(a1),f505(x91181,x91182)),f295(f295(f84(a1),f516(x91181,x91182)),x91182)))) % 192.26/192.35 [8890]~P99(x88901)+~P1(f295(f62(x88901),x88902))+E(f295(f295(f23(f911(x88901,a897)),x88902),f295(f295(f275(x88901),x88903),f176(f911(x88901,a897)))),f176(f911(x88901,a897)))+~P1(f295(f295(f297(x88901),x88903),x88902))+E(f295(f295(f117(x88901),x88903),f10(x88901,f295(f295(f23(f911(x88901,a897)),x88902),f295(f295(f275(x88901),x88903),f176(f911(x88901,a897)))))),f10(x88901,x88902)) % 192.26/192.35 [8891]~P99(x88911)+~P1(f295(f62(x88911),x88912))+E(f295(f295(f23(f911(x88911,a897)),x88912),f295(f295(f275(x88911),x88913),f176(f911(x88911,a897)))),f176(f911(x88911,a897)))+~P1(f295(f295(f297(x88911),x88913),x88912))+E(f295(f295(f108(x88911),x88913),f11(x88911,f295(f295(f23(f911(x88911,a897)),x88912),f295(f295(f275(x88911),x88913),f176(f911(x88911,a897)))))),f11(x88911,x88912)) % 192.26/192.35 [8892]~P114(x88921)+~P1(f295(f62(x88921),x88922))+E(f295(f295(f23(f911(x88921,a897)),x88922),f295(f295(f275(x88921),x88923),f176(f911(x88921,a897)))),f176(f911(x88921,a897)))+~P1(f295(f295(f297(x88921),x88923),x88922))+E(f295(f295(f205(x88921),x88923),f14(x88921,f295(f295(f23(f911(x88921,a897)),x88922),f295(f295(f275(x88921),x88923),f176(f911(x88921,a897)))))),f14(x88921,x88922)) % 192.26/192.35 [8893]~P114(x88931)+~P1(f295(f62(x88931),x88932))+E(f295(f295(f23(f911(x88931,a897)),x88932),f295(f295(f275(x88931),x88933),f176(f911(x88931,a897)))),f176(f911(x88931,a897)))+~P1(f295(f295(f297(x88931),x88933),x88932))+E(f295(f295(f206(x88931),x88933),f15(x88931,f295(f295(f23(f911(x88931,a897)),x88932),f295(f295(f275(x88931),x88933),f176(f911(x88931,a897)))))),f15(x88931,x88932)) % 192.26/192.35 [8955]~P114(x89551)+~P1(f295(f62(x89551),x89552))+E(f295(f295(f23(f911(x89551,a897)),x89552),f295(f295(f275(x89551),x89553),f176(f911(x89551,a897)))),f176(f911(x89551,a897)))+~P1(f295(f295(f297(x89551),x89553),x89552))+E(f295(f295(f205(x89551),x89553),f12(x89551,f205(x89551),f295(f295(f23(f911(x89551,a897)),x89552),f295(f295(f275(x89551),x89553),f176(f911(x89551,a897)))))),f12(x89551,f205(x89551),x89552)) % 192.26/192.35 [8956]~P114(x89561)+~P1(f295(f62(x89561),x89562))+E(f295(f295(f23(f911(x89561,a897)),x89562),f295(f295(f275(x89561),x89563),f176(f911(x89561,a897)))),f176(f911(x89561,a897)))+~P1(f295(f295(f297(x89561),x89563),x89562))+E(f295(f295(f206(x89561),x89563),f13(x89561,f206(x89561),f295(f295(f23(f911(x89561,a897)),x89562),f295(f295(f275(x89561),x89563),f176(f911(x89561,a897)))))),f13(x89561,f206(x89561),x89562)) % 192.26/192.35 [8971]~P99(x89711)+~P1(f295(f62(x89711),x89713))+~P1(f295(f62(x89711),x89712))+E(f295(f295(f108(f911(x89711,a897)),x89712),x89713),f176(f911(x89711,a897)))+E(f295(f295(f117(x89711),f10(x89711,f295(f295(f117(f911(x89711,a897)),x89712),x89713))),f10(x89711,f295(f295(f108(f911(x89711,a897)),x89712),x89713))),f295(f295(f117(x89711),f10(x89711,x89712)),f10(x89711,x89713))) % 192.26/192.35 [8972]~P99(x89721)+~P1(f295(f62(x89721),x89723))+~P1(f295(f62(x89721),x89722))+E(f295(f295(f108(f911(x89721,a897)),x89722),x89723),f176(f911(x89721,a897)))+E(f295(f295(f108(x89721),f11(x89721,f295(f295(f117(f911(x89721,a897)),x89722),x89723))),f11(x89721,f295(f295(f108(f911(x89721,a897)),x89722),x89723))),f295(f295(f108(x89721),f11(x89721,x89722)),f11(x89721,x89723))) % 192.26/192.35 [8973]~P114(x89731)+~P1(f295(f62(x89731),x89733))+~P1(f295(f62(x89731),x89732))+E(f295(f295(f108(f911(x89731,a897)),x89732),x89733),f176(f911(x89731,a897)))+E(f295(f295(f205(x89731),f14(x89731,f295(f295(f117(f911(x89731,a897)),x89732),x89733))),f14(x89731,f295(f295(f108(f911(x89731,a897)),x89732),x89733))),f295(f295(f205(x89731),f14(x89731,x89732)),f14(x89731,x89733))) % 192.26/192.35 [8974]~P114(x89741)+~P1(f295(f62(x89741),x89743))+~P1(f295(f62(x89741),x89742))+E(f295(f295(f108(f911(x89741,a897)),x89742),x89743),f176(f911(x89741,a897)))+E(f295(f295(f206(x89741),f15(x89741,f295(f295(f117(f911(x89741,a897)),x89742),x89743))),f15(x89741,f295(f295(f108(f911(x89741,a897)),x89742),x89743))),f295(f295(f206(x89741),f15(x89741,x89742)),f15(x89741,x89743))) % 192.26/192.35 [9210]~P114(x92101)+~P1(f295(f62(x92101),x92103))+~P1(f295(f62(x92101),x92102))+E(f295(f295(f108(f911(x92101,a897)),x92102),x92103),f176(f911(x92101,a897)))+E(f295(f295(f205(x92101),f12(x92101,f205(x92101),f295(f295(f117(f911(x92101,a897)),x92102),x92103))),f12(x92101,f205(x92101),f295(f295(f108(f911(x92101,a897)),x92102),x92103))),f295(f295(f205(x92101),f12(x92101,f205(x92101),x92102)),f12(x92101,f205(x92101),x92103))) % 192.26/192.35 [9211]~P114(x92111)+~P1(f295(f62(x92111),x92113))+~P1(f295(f62(x92111),x92112))+E(f295(f295(f108(f911(x92111,a897)),x92112),x92113),f176(f911(x92111,a897)))+E(f295(f295(f206(x92111),f13(x92111,f206(x92111),f295(f295(f117(f911(x92111,a897)),x92112),x92113))),f13(x92111,f206(x92111),f295(f295(f108(f911(x92111,a897)),x92112),x92113))),f295(f295(f206(x92111),f13(x92111,f206(x92111),x92112)),f13(x92111,f206(x92111),x92113))) % 192.26/192.35 [9985]~P131(x99853)+E(x99851,x99852)+~P1(f295(f295(f207(x99853),f2(x99853)),x99852))+~P1(f295(f295(f207(x99853),f2(x99853)),x99851))+~E(f295(f295(f218(x99853),x99851),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)))),f295(f295(f218(x99853),x99852),f295(f110(a902),f295(f295(f83(a1),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104)),f295(f295(f23(a1),f295(f295(f83(a1),a86),a86)),a104))))) % 192.26/192.35 [6495]E(f418(x64951,x64952,x64953),x64954)+E(f295(x64951,x64954),f2(a902))+~E(f295(f295(f6(x64953,a902),x64951),x64952),f81(a902))+~P1(f295(f62(x64953),x64952))+~P1(f295(f295(f297(x64953),x64954),x64952)) % 192.26/192.35 [6559]E(f427(x65591,x65592,x65593),x65594)+E(f295(x65591,x65594),f2(a902))+~E(f295(f295(f6(x65593,a902),x65591),x65592),f295(a119,f2(a902)))+~P1(f295(f62(x65593),x65592))+~P1(f295(f295(f297(x65593),x65594),x65592)) % 192.26/192.35 [6667]~P6(x66671)+~P114(x66671)+P1(f295(f295(f208(x66671),x66672),f41(x66671,x66673)))+~P1(f295(f295(f208(x66671),x66672),x66674))+~P1(f295(f295(f297(x66671),x66674),x66673)) % 192.26/192.35 [6837]~P6(x68371)+~P114(x68371)+~P1(f295(f295(f208(x68371),x68374),x68373))+P1(f295(f295(f208(x68371),f42(x68371,x68372)),x68373))+~P1(f295(f295(f297(x68371),x68374),x68372)) % 192.26/192.35 [7089]~P131(x70893)+E(x70891,x70892)+~E(f295(f295(f218(x70893),x70891),f295(a119,x70894)),f295(f295(f218(x70893),x70892),f295(a119,x70894)))+~P1(f295(f295(f207(x70893),f2(x70893)),x70892))+~P1(f295(f295(f207(x70893),f2(x70893)),x70891)) % 192.26/192.35 [7301]~E(f422(x73012,x73013,x73011,x73014),x73014)+~E(f295(x73012,x73014),f81(a902))+E(f295(f295(f6(x73011,a902),x73012),x73013),f81(a902))+~P1(f295(f62(x73011),x73013))+~P1(f295(f295(f297(x73011),x73014),x73013)) % 192.26/192.35 [7308]~P123(x73084)+~P139(x73084)+E(f295(x73081,f450(x73081,x73082,x73083,x73084)),f2(x73084))+~E(f295(f295(f9(x73083,x73084),x73081),x73082),f2(x73084))+~P1(f295(f62(x73083),x73082)) % 192.26/192.35 [7399]~E(f429(x73992,x73993,x73991,x73994),x73994)+~E(f295(x73992,x73994),f295(a119,f2(a902)))+E(f295(f295(f6(x73991,a902),x73992),x73993),f295(a119,f2(a902)))+~P1(f295(f62(x73991),x73993))+~P1(f295(f295(f297(x73991),x73994),x73993)) % 192.26/192.35 [8129]~E(f295(x81292,x81294),f81(a902))+~E(f295(x81292,f422(x81292,x81293,x81291,x81294)),f2(a902))+E(f295(f295(f6(x81291,a902),x81292),x81293),f81(a902))+~P1(f295(f62(x81291),x81293))+~P1(f295(f295(f297(x81291),x81294),x81293)) % 192.26/192.35 [8177]~E(f295(x81772,x81774),f295(a119,f2(a902)))+~E(f295(x81772,f429(x81772,x81773,x81771,x81774)),f2(a902))+E(f295(f295(f6(x81771,a902),x81772),x81773),f295(a119,f2(a902)))+~P1(f295(f62(x81771),x81773))+~P1(f295(f295(f297(x81771),x81774),x81773)) % 192.26/192.35 [8728]~P114(x87281)+~P12(x87281,x87284)+P12(x87281,x87282)+~E(x87282,f295(f295(f140(x87281),x87283),x87284))+~P1(f295(f295(f207(x87281),x87283),f727(x87282,x87281,x87284,x87283))) % 192.26/192.35 [8772]E(x87721,x87722)+E(f295(f295(f23(a1),f494(x87723,x87722,x87724,x87721)),f495(x87723,x87722,x87724,x87721)),x87721)+~E(f295(f295(f83(a1),x87721),x87724),x87722)+~P1(f295(f295(f208(a1),f2(a1)),x87724))+~P1(f295(f295(f297(a1),x87722),x87723)) % 192.26/192.35 [8773]E(x87731,x87732)+E(f295(f295(f83(a1),f500(x87733,x87732,x87734,x87731)),f501(x87733,x87732,x87734,x87731)),x87731)+~E(f295(f295(f23(a1),x87731),x87734),x87732)+~P1(f295(f295(f208(a1),f2(a1)),x87734))+~P1(f295(f295(f297(a1),x87732),x87733)) % 192.26/192.35 [8969]E(f295(x89691,f811(x89692,x89691,x89693,x89694)),x89692)+P1(f295(f295(f207(a902),x89694),f812(x89692,x89691,x89693,x89694)))+~P1(f295(f295(f207(a1),x89692),f295(x89691,x89693)))+~P1(f295(f295(f208(a902),x89694),x89693))+~P1(f295(f295(f207(a1),f295(x89691,x89694)),x89692)) % 192.26/192.35 [8970]~P114(x89701)+~P12(x89701,x89703)+P12(x89701,x89702)+~E(x89702,f295(f295(f140(x89701),x89704),x89703))+P1(f295(f295(f297(x89701),f727(x89702,x89701,x89703,x89704)),f295(f160(x89701),x89703))) % 192.26/192.35 [8990]~P123(x89904)+~P139(x89904)+~E(f295(f295(f9(x89901,x89904),x89902),x89903),f2(x89904))+~P1(f295(f62(x89901),x89903))+P1(f295(f295(f297(x89901),f450(x89902,x89903,x89901,x89904)),x89903)) % 192.26/192.35 [9030]~E(f295(x90302,x90304),f81(a902))+E(f295(f295(f6(x90301,a902),x90302),x90303),f81(a902))+~P1(f295(f62(x90301),x90303))+~P1(f295(f295(f297(x90301),x90304),x90303))+P1(f295(f295(f297(x90301),f422(x90302,x90303,x90301,x90304)),x90303)) % 192.26/192.35 [9044]E(x90441,x90442)+~E(f295(f295(f83(a1),x90442),x90444),x90441)+~P1(f295(f295(f208(a1),f2(a1)),x90444))+~P1(f295(f295(f297(a1),x90441),x90443))+P1(f295(f295(f297(a1),f494(x90443,x90441,x90444,x90442)),x90443)) % 192.26/192.35 [9045]E(x90451,x90452)+~E(f295(f295(f23(a1),x90452),x90454),x90451)+~P1(f295(f295(f208(a1),f2(a1)),x90454))+~P1(f295(f295(f297(a1),x90451),x90453))+P1(f295(f295(f297(a1),f500(x90453,x90451,x90454,x90452)),x90453)) % 192.26/192.35 [9047]~E(f295(x90472,x90474),f295(a119,f2(a902)))+E(f295(f295(f6(x90471,a902),x90472),x90473),f295(a119,f2(a902)))+~P1(f295(f62(x90471),x90473))+~P1(f295(f295(f297(x90471),x90474),x90473))+P1(f295(f295(f297(x90471),f429(x90472,x90473,x90471,x90474)),x90473)) % 192.26/192.35 [9051]P64(x90512,x90513,x90514,x90511)+E(x90511,f176(f911(x90512,a897)))+~P1(f295(f62(x90512),x90514))+~P1(f295(f62(x90512),x90511))+P1(f295(f295(f297(x90512),f622(x90513,x90511,x90514,x90512)),x90514)) % 192.26/192.35 [9052]P64(x90522,x90523,x90524,x90521)+E(x90521,f176(f911(x90522,a897)))+~P1(f295(f62(x90522),x90524))+~P1(f295(f62(x90522),x90521))+P1(f295(f295(f297(x90522),f623(x90521,x90524,x90523,x90522)),x90524)) % 192.26/192.35 [9053]P64(x90532,x90533,x90534,x90531)+E(x90531,f176(f911(x90532,a897)))+~P1(f295(f62(x90532),x90534))+~P1(f295(f62(x90532),x90531))+P1(f295(f295(f297(x90532),f639(x90531,x90534,x90533,x90532)),x90534)) % 192.26/192.35 [9132]E(x91321,x91322)+~E(f295(f295(f83(a1),x91322),x91324),x91321)+~P1(f295(f295(f208(a1),f2(a1)),x91324))+~P1(f295(f295(f297(a1),x91321),x91323))+P1(f295(f295(f297(a1),f495(x91323,x91321,x91324,x91322)),f269(a1,f81(a1),x91324))) % 192.26/192.35 [9133]E(x91331,x91332)+~E(f295(f295(f23(a1),x91332),x91334),x91331)+~P1(f295(f295(f208(a1),f2(a1)),x91334))+~P1(f295(f295(f297(a1),x91331),x91333))+P1(f295(f295(f297(a1),f501(x91333,x91331,x91334,x91332)),f269(a1,f81(a1),x91334))) % 192.26/192.35 [9214]P1(f295(f295(f207(a902),x92141),f811(x92142,x92143,x92144,x92141)))+~P1(f295(f295(f207(a1),x92142),f295(x92143,x92144)))+P1(f295(f295(f207(a902),x92141),f812(x92142,x92143,x92144,x92141)))+~P1(f295(f295(f208(a902),x92141),x92144))+~P1(f295(f295(f207(a1),f295(x92143,x92141)),x92142)) % 192.26/192.35 [9322]E(f295(x93221,f811(x93222,x93221,x93223,x93224)),x93222)+~P1(f295(f295(f207(a1),x93222),f295(x93221,x93223)))+P1(f295(f295(f208(a902),f812(x93222,x93221,x93223,x93224)),x93223))+~P1(f295(f295(f208(a902),x93224),x93223))+~P1(f295(f295(f207(a1),f295(x93221,x93224)),x93222)) % 192.26/192.35 [9448]~P1(f295(f295(f207(a1),x94482),f295(x94483,x94484)))+P1(f295(f295(f207(a902),x94481),f812(x94482,x94483,x94484,x94481)))+P1(f295(f295(f207(a902),f811(x94482,x94483,x94484,x94481)),x94484))+~P1(f295(f295(f208(a902),x94481),x94484))+~P1(f295(f295(f207(a1),f295(x94483,x94481)),x94482)) % 192.26/192.35 [9449]~P1(f295(f295(f207(a1),x94492),f295(x94493,x94494)))+P1(f295(f295(f207(a902),x94491),f811(x94492,x94493,x94494,x94491)))+P1(f295(f295(f208(a902),f812(x94492,x94493,x94494,x94491)),x94494))+~P1(f295(f295(f208(a902),x94491),x94494))+~P1(f295(f295(f207(a1),f295(x94493,x94491)),x94492)) % 192.26/192.35 [9550]~P1(f295(f295(f207(a1),x95501),f295(x95502,x95503)))+P1(f295(f295(f208(a902),f812(x95501,x95502,x95503,x95504)),x95503))+~P1(f295(f295(f208(a902),x95504),x95503))+~P1(f295(f295(f207(a1),f295(x95502,x95504)),x95501))+P1(f295(f295(f207(a902),f811(x95501,x95502,x95503,x95504)),x95503)) % 192.26/192.35 [9632]E(x96321,f176(f911(x96322,a897)))+~P1(f295(f62(x96322),x96324))+~P1(f295(f62(x96322),x96321))+P1(f295(f295(f297(f910(f911(x96322,a897),f911(x96322,a897))),f295(f295(f217(f911(x96322,a897),f911(x96322,a897)),x96324),x96321)),f287(x96322,x96323)))+P1(f295(f295(f297(x96322),f731(x96323,x96321,x96324,x96322)),x96324)) % 192.26/192.35 [9633]E(x96331,f176(f911(x96332,a897)))+~P1(f295(f62(x96332),x96334))+~P1(f295(f62(x96332),x96331))+P1(f295(f295(f297(f910(f911(x96332,a897),f911(x96332,a897))),f295(f295(f217(f911(x96332,a897),f911(x96332,a897)),x96334),x96331)),f287(x96332,x96333)))+P1(f295(f295(f297(x96332),f799(x96333,x96331,x96334,x96332)),x96334)) % 192.26/192.35 [10354]E(f295(x103541,f811(x103542,x103541,x103543,x103544)),x103542)+~P1(f295(f295(f207(a1),x103542),f295(x103541,x103543)))+~P1(f295(f295(f207(a1),f295(f77(a1),f295(f295(f23(a1),f295(x103541,f295(f295(f83(a902),f812(x103542,x103541,x103543,x103544)),f81(a902)))),f295(x103541,f812(x103542,x103541,x103543,x103544))))),f81(a1)))+~P1(f295(f295(f208(a902),x103544),x103543))+~P1(f295(f295(f207(a1),f295(x103541,x103544)),x103542)) % 192.26/192.35 [10355]~P1(f295(f295(f207(a1),x103552),f295(x103553,x103554)))+P1(f295(f295(f207(a902),x103551),f811(x103552,x103553,x103554,x103551)))+~P1(f295(f295(f207(a1),f295(f77(a1),f295(f295(f23(a1),f295(x103553,f295(f295(f83(a902),f812(x103552,x103553,x103554,x103551)),f81(a902)))),f295(x103553,f812(x103552,x103553,x103554,x103551))))),f81(a1)))+~P1(f295(f295(f208(a902),x103551),x103554))+~P1(f295(f295(f207(a1),f295(x103553,x103551)),x103552)) % 192.26/192.35 [10356]~P1(f295(f295(f207(a1),x103561),f295(x103562,x103563)))+~P1(f295(f295(f207(a1),f295(f77(a1),f295(f295(f23(a1),f295(x103562,f295(f295(f83(a902),f812(x103561,x103562,x103563,x103564)),f81(a902)))),f295(x103562,f812(x103561,x103562,x103563,x103564))))),f81(a1)))+~P1(f295(f295(f208(a902),x103564),x103563))+~P1(f295(f295(f207(a1),f295(x103562,x103564)),x103561))+P1(f295(f295(f207(a902),f811(x103561,x103562,x103563,x103564)),x103563)) % 192.26/192.35 [7361]~P74(x73611)+P1(f295(f295(f208(x73611),x73612),f2(x73611)))+~P1(f295(f295(f207(x73611),x73613),f2(x73611)))+P1(f295(f295(f208(x73611),f2(x73611)),x73612))+P1(f295(f295(f207(x73611),x73613),f295(f295(f256(x73611),x73614),x73612))) % 192.26/192.35 [7362]~P74(x73621)+P1(f295(f295(f208(x73621),x73622),f2(x73621)))+~P1(f295(f295(f208(x73621),x73623),f2(x73621)))+P1(f295(f295(f208(x73621),f2(x73621)),x73622))+P1(f295(f295(f208(x73621),x73623),f295(f295(f256(x73621),x73624),x73622))) % 192.26/192.35 [7611]~P74(x76111)+P1(f295(f295(f207(x76111),x76112),f2(x76111)))+P1(f295(f295(f208(x76111),x76113),f2(x76111)))+P1(f295(f295(f208(x76111),f2(x76111)),x76113))+~P1(f295(f295(f207(x76111),x76112),f295(f295(f256(x76111),x76114),x76113))) % 192.26/192.35 [7612]~P74(x76121)+P1(f295(f295(f208(x76121),x76122),f2(x76121)))+P1(f295(f295(f208(x76121),x76123),f2(x76121)))+P1(f295(f295(f208(x76121),f2(x76121)),x76123))+~P1(f295(f295(f208(x76121),x76122),f295(f295(f256(x76121),x76124),x76123))) % 192.26/192.35 [7725]E(x77251,x77252)+~E(f295(f295(f153(x77253),x77254),x77251),f295(f295(f153(x77253),x77254),x77252))+~P1(f295(f126(x77253),x77254))+~P1(f295(f295(f208(a902),x77252),f295(f177(f903(x77253)),x77254)))+~P1(f295(f295(f208(a902),x77251),f295(f177(f903(x77253)),x77254))) % 192.26/192.35 [8090]~P74(x80901)+~P1(f295(f295(f207(x80901),x80903),f2(x80901)))+P1(f295(f295(f208(x80901),f2(x80901)),x80902))+~P1(f295(f295(f207(x80901),x80904),f295(f295(f84(x80901),x80903),x80902)))+P1(f295(f295(f207(x80901),x80903),f295(f295(f256(x80901),x80904),x80902))) % 192.26/192.35 [8091]~P74(x80911)+~P1(f295(f295(f208(x80911),x80913),f2(x80911)))+P1(f295(f295(f208(x80911),f2(x80911)),x80912))+~P1(f295(f295(f208(x80911),x80914),f295(f295(f84(x80911),x80913),x80912)))+P1(f295(f295(f208(x80911),x80913),f295(f295(f256(x80911),x80914),x80912))) % 192.26/192.35 [8092]~P74(x80921)+~P1(f295(f295(f208(x80921),x80922),f2(x80921)))+P1(f295(f295(f208(x80921),f2(x80921)),x80922))+~P1(f295(f295(f207(x80921),x80924),f295(f295(f84(x80921),x80923),x80922)))+P1(f295(f295(f207(x80921),x80923),f295(f295(f256(x80921),x80924),x80922))) % 192.26/192.35 [8093]~P74(x80931)+~P1(f295(f295(f208(x80931),x80932),f2(x80931)))+P1(f295(f295(f208(x80931),f2(x80931)),x80932))+~P1(f295(f295(f207(x80931),x80934),f295(f295(f256(x80931),x80933),x80932)))+P1(f295(f295(f207(x80931),x80933),f295(f295(f84(x80931),x80934),x80932))) % 192.26/192.35 [8094]~P74(x80941)+~P1(f295(f295(f208(x80941),x80942),f2(x80941)))+P1(f295(f295(f208(x80941),f2(x80941)),x80942))+~P1(f295(f295(f208(x80941),x80944),f295(f295(f84(x80941),x80943),x80942)))+P1(f295(f295(f208(x80941),x80943),f295(f295(f256(x80941),x80944),x80942))) % 192.26/192.35 [8095]~P74(x80951)+~P1(f295(f295(f208(x80951),x80952),f2(x80951)))+P1(f295(f295(f208(x80951),f2(x80951)),x80952))+~P1(f295(f295(f208(x80951),x80954),f295(f295(f256(x80951),x80953),x80952)))+P1(f295(f295(f208(x80951),x80953),f295(f295(f84(x80951),x80954),x80952))) % 192.26/192.35 [8247]~P114(x82471)+~P12(x82471,x82472)+~P1(f295(f295(f207(a902),x82473),x82474))+P1(f295(f295(f207(x82471),f295(f295(f153(x82471),x82472),x82473)),f295(f295(f153(x82471),x82472),x82474)))+~P1(f295(f295(f208(a902),x82474),f295(f177(f903(x82471)),x82472))) % 192.26/192.35 [8294]~P131(x82941)+~P1(f295(f295(f207(x82941),x82942),f81(x82941)))+~P1(f295(f295(f207(x82941),f2(x82941)),x82942))+~P1(f295(f295(f207(a902),x82944),x82943))+P1(f295(f295(f207(x82941),f295(f295(f218(x82941),x82942),x82943)),f295(f295(f218(x82941),x82942),x82944))) % 192.26/192.35 [8295]~P131(x82951)+~P1(f295(f295(f208(x82951),x82952),f81(x82951)))+~P1(f295(f295(f208(x82951),f2(x82951)),x82952))+~P1(f295(f295(f208(a902),x82954),x82953))+P1(f295(f295(f208(x82951),f295(f295(f218(x82951),x82952),x82953)),f295(f295(f218(x82951),x82952),x82954))) % 192.26/192.35 [8296]~P131(x82961)+~P1(f295(f295(f207(x82961),f2(x82961)),x82962))+~P1(f295(f295(f208(a902),f2(a902)),x82963))+~P1(f295(f295(f208(x82961),x82962),x82964))+P1(f295(f295(f208(x82961),f295(f295(f218(x82961),x82962),x82963)),f295(f295(f218(x82961),x82964),x82963))) % 192.26/192.35 [8315]~P114(x83151)+~P12(x83151,f295(f157(x83151),x83152))+~P1(f295(f295(f207(a902),x83154),x83153))+P1(f295(f295(f207(x83151),f295(f295(f153(x83151),x83152),x83153)),f295(f295(f153(x83151),x83152),x83154)))+~P1(f295(f295(f208(a902),x83153),f295(f177(f903(x83151)),x83152))) % 192.26/192.35 [8562]~P74(x85621)+~P1(f295(f295(f207(x85621),x85622),f2(x85621)))+~P1(f295(f295(f207(x85621),x85623),x85624))+~P1(f295(f295(f208(x85621),f2(x85621)),f295(f295(f84(x85621),x85623),x85624)))+P1(f295(f295(f207(x85621),f295(f295(f256(x85621),x85622),x85623)),f295(f295(f256(x85621),x85622),x85624))) % 192.26/192.35 [8563]~P75(x85631)+~P1(f295(f295(f208(x85631),x85632),f2(x85631)))+~P1(f295(f295(f208(x85631),x85633),x85634))+~P1(f295(f295(f208(x85631),f2(x85631)),f295(f295(f84(x85631),x85633),x85634)))+P1(f295(f295(f208(x85631),f295(f295(f256(x85631),x85632),x85633)),f295(f295(f256(x85631),x85632),x85634))) % 192.26/192.35 [8570]~P75(x85701)+~P1(f295(f295(f207(x85701),x85704),x85703))+~P1(f295(f295(f207(x85701),f2(x85701)),x85702))+~P1(f295(f295(f208(x85701),f2(x85701)),f295(f295(f84(x85701),x85703),x85704)))+P1(f295(f295(f207(x85701),f295(f295(f256(x85701),x85702),x85703)),f295(f295(f256(x85701),x85702),x85704))) % 192.26/192.35 [8571]~P75(x85711)+~P1(f295(f295(f208(x85711),x85714),x85713))+~P1(f295(f295(f208(x85711),f2(x85711)),x85712))+~P1(f295(f295(f208(x85711),f2(x85711)),f295(f295(f84(x85711),x85713),x85714)))+P1(f295(f295(f208(x85711),f295(f295(f256(x85711),x85712),x85713)),f295(f295(f256(x85711),x85712),x85714))) % 192.26/192.35 [8676]P1(f295(x86761,x86762))+~P1(f295(f62(x86764),x86762))+P1(f295(x86761,f399(x86761,x86763,x86762,x86764)))+~P1(f295(x86761,f176(f911(x86764,a897))))+~P1(f295(f295(f207(f911(x86764,a897)),x86762),x86763)) % 192.26/192.35 [8684]P1(f295(x86841,x86842))+P1(f295(f62(x86843),f399(x86841,x86844,x86842,x86843)))+~P1(f295(f62(x86843),x86842))+~P1(f295(x86841,f176(f911(x86843,a897))))+~P1(f295(f295(f207(f911(x86843,a897)),x86842),x86844)) % 192.26/192.35 [8962]E(f295(f295(f83(a1),f508(x89621,x89622,x89623,x89624)),f509(x89621,x89622,x89623,x89624)),x89624)+~P1(f295(f295(f208(a1),f2(a1)),x89623))+~P1(f295(f295(f208(a1),x89622),x89624))+~P1(f295(f295(f297(a1),x89622),x89621))+P1(f295(f295(f208(a1),x89622),f295(f295(f23(a1),x89624),x89623))) % 192.26/192.35 [9195]~P1(f295(f295(f208(a1),f2(a1)),x91953))+~P1(f295(f295(f208(a1),x91952),x91954))+~P1(f295(f295(f297(a1),x91952),x91951))+P1(f295(f295(f297(a1),f508(x91951,x91952,x91953,x91954)),x91951))+P1(f295(f295(f208(a1),x91952),f295(f295(f23(a1),x91954),x91953))) % 192.26/192.35 [9209]P1(f295(x92091,x92092))+~P1(f295(f62(x92093),x92092))+P1(f295(f295(f297(x92093),f400(x92091,x92094,x92092,x92093)),x92094))+~P1(f295(x92091,f176(f911(x92093,a897))))+~P1(f295(f295(f207(f911(x92093,a897)),x92092),x92094)) % 192.26/192.35 [9222]E(f295(f295(f83(a1),f496(x92221,x92222,x92223,x92224)),f497(x92221,x92222,x92223,x92224)),x92224)+~P1(f295(f295(f208(a1),f2(a1)),x92223))+~P1(f295(f295(f207(a1),x92222),x92224))+P1(f295(f295(f207(a1),x92222),f295(f295(f23(a1),x92224),x92223)))+~P1(f295(f295(f297(a1),f295(f295(f23(a1),x92222),f81(a1))),x92221)) % 192.26/192.35 [9273]~P1(f295(f295(f208(a1),f2(a1)),x92733))+~P1(f295(f295(f208(a1),x92731),x92732))+~P1(f295(f295(f297(a1),x92731),x92734))+P1(f295(f295(f297(a1),f509(x92734,x92731,x92733,x92732)),f269(a1,f81(a1),x92733)))+P1(f295(f295(f208(a1),x92731),f295(f295(f23(a1),x92732),x92733))) % 192.26/192.35 [9365]~P1(f295(f295(f208(a1),f2(a1)),x93653))+~P1(f295(f295(f207(a1),x93652),x93654))+P1(f295(f295(f297(a1),f496(x93651,x93652,x93653,x93654)),x93651))+P1(f295(f295(f207(a1),x93652),f295(f295(f23(a1),x93654),x93653)))+~P1(f295(f295(f297(a1),f295(f295(f23(a1),x93652),f81(a1))),x93651)) % 192.26/192.35 [9401]~P1(f295(f295(f208(a1),f2(a1)),x94013))+~P1(f295(f295(f207(a1),x94011),x94012))+P1(f295(f295(f297(a1),f497(x94014,x94011,x94013,x94012)),f269(a1,f81(a1),x94013)))+P1(f295(f295(f207(a1),x94011),f295(f295(f23(a1),x94012),x94013)))+~P1(f295(f295(f297(a1),f295(f295(f23(a1),x94011),f81(a1))),x94014)) % 192.26/192.35 [9635]P1(f295(x96351,x96352))+~P1(f295(f295(f297(x96353),f400(x96351,x96354,x96352,x96353)),f399(x96351,x96354,x96352,x96353)))+~P1(f295(f62(x96353),x96352))+~P1(f295(x96351,f176(f911(x96353,a897))))+~P1(f295(f295(f207(f911(x96353,a897)),x96352),x96354)) % 192.26/192.35 [9849]P1(f295(x98491,x98492))+~P1(f295(f62(x98493),x98492))+~P1(f295(x98491,f295(f295(f275(x98493),f400(x98491,x98494,x98492,x98493)),f399(x98491,x98494,x98492,x98493))))+~P1(f295(x98491,f176(f911(x98493,a897))))+~P1(f295(f295(f207(f911(x98493,a897)),x98492),x98494)) % 192.26/192.35 [7862]~P74(x78621)+P1(f295(f295(f208(x78621),x78622),f2(x78621)))+~P1(f295(f295(f207(x78621),f2(x78621)),x78624))+P1(f295(f295(f208(x78621),f2(x78621)),x78622))+P1(f295(f295(f207(x78621),f295(f295(f256(x78621),x78623),x78622)),x78624)) % 192.26/192.35 [7863]~P74(x78631)+P1(f295(f295(f208(x78631),x78632),f2(x78631)))+P1(f295(f295(f208(x78631),f2(x78631)),x78632))+~P1(f295(f295(f208(x78631),f2(x78631)),x78634))+P1(f295(f295(f208(x78631),f295(f295(f256(x78631),x78633),x78632)),x78634)) % 192.26/192.35 [8146]~P1(f295(f295(f207(a1),x81464),f2(a1)))+~E(x81462,f295(f295(f83(a1),f295(f295(f84(a1),x81461),x81463)),x81464))+P1(f295(f295(f208(a1),f2(a1)),x81461))+~P1(f295(f295(f208(a1),x81461),x81464))+P1(f295(f50(x81462,x81461),f295(f295(f217(a1,a1),x81463),x81464))) % 192.26/192.35 [8187]~P1(f295(x81871,x81874))+P1(f295(x81871,f488(x81872,x81871,x81873)))+~P1(f295(f295(f207(a1),f2(a1)),x81872))+~P1(f295(f295(f208(a1),f2(a1)),x81873))+P1(f295(x81871,f295(f295(f23(a1),x81874),f295(f295(f84(a1),x81872),x81873)))) % 192.26/192.35 [8188]~P1(f295(x81881,x81884))+P1(f295(x81881,f491(x81882,x81881,x81883)))+~P1(f295(f295(f207(a1),f2(a1)),x81882))+~P1(f295(f295(f208(a1),f2(a1)),x81883))+P1(f295(x81881,f295(f295(f83(a1),x81884),f295(f295(f84(a1),x81882),x81883)))) % 192.26/192.35 [8189]~P74(x81891)+P1(f295(f295(f208(x81891),x81892),f2(x81891)))+P1(f295(f295(f208(x81891),f2(x81891)),x81892))+P1(f295(f295(f207(x81891),f2(x81891)),x81893))+~P1(f295(f295(f207(x81891),f295(f295(f256(x81891),x81894),x81892)),x81893)) % 192.26/192.35 [8190]~P74(x81901)+P1(f295(f295(f208(x81901),x81902),f2(x81901)))+P1(f295(f295(f208(x81901),f2(x81901)),x81902))+P1(f295(f295(f208(x81901),f2(x81901)),x81903))+~P1(f295(f295(f208(x81901),f295(f295(f256(x81901),x81904),x81902)),x81903)) % 192.26/192.35 [8242]~E(x82421,f295(f295(f83(a1),f295(f295(f84(a1),x82422),x82423)),x82424))+~P1(f295(f295(f207(a1),f2(a1)),x82424))+~P1(f295(f295(f208(a1),f2(a1)),x82422))+~P1(f295(f295(f208(a1),x82424),x82422))+P1(f295(f50(x82421,x82422),f295(f295(f217(a1,a1),x82423),x82424))) % 192.26/192.35 [8354]~P74(x83541)+P1(f295(f295(f208(x83541),x83542),f2(x83541)))+~P1(f295(f295(f207(x83541),f2(x83541)),x83544))+~P1(f295(f295(f207(x83541),x83543),f295(f295(f84(x83541),x83544),x83542)))+P1(f295(f295(f207(x83541),f295(f295(f256(x83541),x83543),x83542)),x83544)) % 192.26/192.35 [8355]~P74(x83551)+P1(f295(f295(f208(x83551),x83552),f2(x83551)))+~P1(f295(f295(f208(x83551),f2(x83551)),x83554))+~P1(f295(f295(f208(x83551),x83553),f295(f295(f84(x83551),x83554),x83552)))+P1(f295(f295(f208(x83551),f295(f295(f256(x83551),x83553),x83552)),x83554)) % 192.26/192.35 [8443]~P74(x84431)+P1(f295(f295(f208(x84431),x84432),f2(x84431)))+~P1(f295(f295(f207(x84431),x84433),f2(x84431)))+P1(f295(f295(f207(x84431),x84433),f295(f295(f256(x84431),x84434),x84432)))+~P1(f295(f295(f207(x84431),f295(f295(f84(x84431),x84433),x84432)),x84434)) % 192.26/192.35 [8444]~P74(x84441)+P1(f295(f295(f208(x84441),x84442),f2(x84441)))+~P1(f295(f295(f208(x84441),x84443),f2(x84441)))+P1(f295(f295(f208(x84441),x84443),f295(f295(f256(x84441),x84444),x84442)))+~P1(f295(f295(f208(x84441),f295(f295(f84(x84441),x84443),x84442)),x84444)) % 192.26/192.35 [8595]~P74(x85951)+~P1(f295(f295(f208(x85951),x85952),f2(x85951)))+P1(f295(f295(f208(x85951),f2(x85951)),x85952))+~P1(f295(f295(f207(x85951),f295(f295(f256(x85951),x85954),x85952)),x85953))+P1(f295(f295(f207(x85951),f295(f295(f84(x85951),x85953),x85952)),x85954)) % 192.26/192.35 [8596]~P74(x85961)+~P1(f295(f295(f208(x85961),x85962),f2(x85961)))+P1(f295(f295(f208(x85961),f2(x85961)),x85962))+~P1(f295(f295(f207(x85961),f295(f295(f84(x85961),x85964),x85962)),x85963))+P1(f295(f295(f207(x85961),f295(f295(f256(x85961),x85963),x85962)),x85964)) % 192.26/192.35 [8597]~P74(x85971)+~P1(f295(f295(f208(x85971),x85972),f2(x85971)))+P1(f295(f295(f208(x85971),f2(x85971)),x85972))+~P1(f295(f295(f208(x85971),f295(f295(f256(x85971),x85974),x85972)),x85973))+P1(f295(f295(f208(x85971),f295(f295(f84(x85971),x85973),x85972)),x85974)) % 192.26/192.35 [8598]~P74(x85981)+~P1(f295(f295(f208(x85981),x85982),f2(x85981)))+P1(f295(f295(f208(x85981),f2(x85981)),x85982))+~P1(f295(f295(f208(x85981),f295(f295(f84(x85981),x85984),x85982)),x85983))+P1(f295(f295(f208(x85981),f295(f295(f256(x85981),x85983),x85982)),x85984)) % 192.26/192.35 [8617]~P74(x86171)+~P1(f295(f295(f207(x86171),f2(x86171)),x86174))+P1(f295(f295(f208(x86171),f2(x86171)),x86172))+~P1(f295(f295(f207(x86171),f295(f295(f84(x86171),x86174),x86172)),x86173))+P1(f295(f295(f207(x86171),f295(f295(f256(x86171),x86173),x86172)),x86174)) % 192.26/192.35 [8618]~P74(x86181)+~P1(f295(f295(f208(x86181),f2(x86181)),x86184))+P1(f295(f295(f208(x86181),f2(x86181)),x86182))+~P1(f295(f295(f208(x86181),f295(f295(f84(x86181),x86184),x86182)),x86183))+P1(f295(f295(f208(x86181),f295(f295(f256(x86181),x86183),x86182)),x86184)) % 192.26/192.35 [8692]~P74(x86921)+~P1(f295(f295(f208(x86921),x86924),f2(x86921)))+~P1(f295(f295(f207(x86921),x86923),f295(f295(f84(x86921),x86922),x86924)))+P1(f295(f295(f207(x86921),x86922),f295(f295(f256(x86921),x86923),x86924)))+~P1(f295(f295(f207(x86921),f295(f295(f84(x86921),x86922),x86924)),x86923)) % 192.26/192.35 [8693]~P74(x86931)+~P1(f295(f295(f207(x86931),x86932),f2(x86931)))+~P1(f295(f295(f207(x86931),x86933),f295(f295(f84(x86931),x86932),x86934)))+P1(f295(f295(f207(x86931),x86932),f295(f295(f256(x86931),x86933),x86934)))+~P1(f295(f295(f207(x86931),f295(f295(f84(x86931),x86932),x86934)),x86933)) % 192.26/192.35 [8694]~P74(x86941)+~P1(f295(f295(f208(x86941),x86944),f2(x86941)))+~P1(f295(f295(f208(x86941),x86943),f295(f295(f84(x86941),x86942),x86944)))+P1(f295(f295(f208(x86941),x86942),f295(f295(f256(x86941),x86943),x86944)))+~P1(f295(f295(f208(x86941),f295(f295(f84(x86941),x86942),x86944)),x86943)) % 192.26/192.35 [8695]~P74(x86951)+~P1(f295(f295(f208(x86951),x86952),f2(x86951)))+~P1(f295(f295(f208(x86951),x86953),f295(f295(f84(x86951),x86952),x86954)))+P1(f295(f295(f208(x86951),x86952),f295(f295(f256(x86951),x86953),x86954)))+~P1(f295(f295(f208(x86951),f295(f295(f84(x86951),x86952),x86954)),x86953)) % 192.26/192.35 [8825]~P74(x88251)+~P1(f295(f295(f208(x88251),x88253),f2(x88251)))+~P1(f295(f295(f207(x88251),x88252),f295(f295(f84(x88251),x88254),x88253)))+~P1(f295(f295(f207(x88251),f295(f295(f84(x88251),x88254),x88253)),x88252))+P1(f295(f295(f207(x88251),f295(f295(f256(x88251),x88252),x88253)),x88254)) % 192.26/192.35 [8826]~P74(x88261)+~P1(f295(f295(f208(x88261),x88263),f2(x88261)))+~P1(f295(f295(f208(x88261),x88262),f295(f295(f84(x88261),x88264),x88263)))+~P1(f295(f295(f208(x88261),f295(f295(f84(x88261),x88264),x88263)),x88262))+P1(f295(f295(f208(x88261),f295(f295(f256(x88261),x88262),x88263)),x88264)) % 192.26/192.35 [8842]~P74(x88421)+~P1(f295(f295(f207(x88421),f2(x88421)),x88424))+~P1(f295(f295(f207(x88421),x88422),f295(f295(f84(x88421),x88424),x88423)))+~P1(f295(f295(f207(x88421),f295(f295(f84(x88421),x88424),x88423)),x88422))+P1(f295(f295(f207(x88421),f295(f295(f256(x88421),x88422),x88423)),x88424)) % 192.26/192.35 [8843]~P74(x88431)+~P1(f295(f295(f208(x88431),f2(x88431)),x88434))+~P1(f295(f295(f208(x88431),x88432),f295(f295(f84(x88431),x88434),x88433)))+~P1(f295(f295(f208(x88431),f295(f295(f84(x88431),x88434),x88433)),x88432))+P1(f295(f295(f208(x88431),f295(f295(f256(x88431),x88432),x88433)),x88434)) % 192.26/192.35 [9035]E(f295(f295(f23(a1),f510(x90351,x90352,x90353,x90354)),f511(x90351,x90352,x90353,x90354)),x90354)+~P1(f295(f295(f208(a1),f2(a1)),x90353))+~P1(f295(f295(f297(a1),x90352),x90351))+~P1(f295(f295(f208(a1),x90354),x90352))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x90354),x90353)),x90352)) % 192.26/192.35 [9112]~P1(f295(x91121,x91122))+~P1(f295(f295(f207(a1),f2(a1)),x91123))+~P1(f295(f295(f208(a1),f2(a1)),x91124))+~P1(f295(x91121,f295(f295(f23(a1),f488(x91123,x91121,x91124)),x91124)))+P1(f295(x91121,f295(f295(f23(a1),x91122),f295(f295(f84(a1),x91123),x91124)))) % 192.26/192.35 [9113]~P1(f295(x91131,x91132))+~P1(f295(f295(f207(a1),f2(a1)),x91133))+~P1(f295(f295(f208(a1),f2(a1)),x91134))+~P1(f295(x91131,f295(f295(f83(a1),f491(x91133,x91131,x91134)),x91134)))+P1(f295(x91131,f295(f295(f83(a1),x91132),f295(f295(f84(a1),x91133),x91134)))) % 192.26/192.35 [9266]~P1(f295(f295(f208(a1),f2(a1)),x92663))+~P1(f295(f295(f297(a1),x92662),x92661))+~P1(f295(f295(f208(a1),x92664),x92662))+P1(f295(f295(f297(a1),f510(x92661,x92662,x92663,x92664)),x92661))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x92664),x92663)),x92662)) % 192.26/192.35 [9286]E(f295(f295(f23(a1),f498(x92861,x92862,x92863,x92864)),f499(x92861,x92862,x92863,x92864)),x92864)+~P1(f295(f295(f208(a1),f2(a1)),x92863))+~P1(f295(f295(f207(a1),x92864),x92862))+~P1(f295(f295(f297(a1),f295(f295(f83(a1),x92862),f81(a1))),x92861))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x92864),x92863)),x92862)) % 192.26/192.35 [9312]~P1(f295(f295(f208(a1),f2(a1)),x93122))+~P1(f295(f295(f297(a1),x93123),x93124))+~P1(f295(f295(f208(a1),x93121),x93123))+P1(f295(f295(f297(a1),f511(x93124,x93123,x93122,x93121)),f269(a1,f81(a1),x93122)))+P1(f295(f295(f208(a1),f295(f295(f83(a1),x93121),x93122)),x93123)) % 192.26/192.35 [9395]~P1(f295(f295(f208(a1),f2(a1)),x93953))+~P1(f295(f295(f207(a1),x93954),x93952))+P1(f295(f295(f297(a1),f498(x93951,x93952,x93953,x93954)),x93951))+~P1(f295(f295(f297(a1),f295(f295(f83(a1),x93952),f81(a1))),x93951))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x93954),x93953)),x93952)) % 192.26/192.35 [9444]~P1(f295(f295(f208(a1),f2(a1)),x94442))+~P1(f295(f295(f207(a1),x94441),x94443))+P1(f295(f295(f297(a1),f499(x94444,x94443,x94442,x94441)),f269(a1,f81(a1),x94442)))+~P1(f295(f295(f297(a1),f295(f295(f83(a1),x94443),f81(a1))),x94444))+P1(f295(f295(f207(a1),f295(f295(f83(a1),x94441),x94442)),x94443)) % 192.26/192.35 [9724]~P36(x97241,x97243)+~P25(x97241,x97244)+P36(x97241,f295(f295(f117(f911(f910(x97241,x97241),a897)),x97242),x97243))+~P1(f295(f295(f207(f911(f910(x97241,x97241),a897)),x97242),f295(f216(f911(f910(x97241,x97241),a897),f911(f910(x97241,x97241),a897)),x97244)))+~P1(f295(f295(f207(f911(f910(x97241,x97241),a897)),x97243),f295(f227(f911(f910(x97241,x97241),a897),f911(f910(x97241,x97241),a897)),x97244))) % 192.26/192.35 [10114]~P17(x101142,x101144,x101143)+E(x101141,f176(f911(x101142,a897)))+~P1(f295(f62(x101142),x101141))+P1(f295(f295(f297(x101142),f295(x101143,x101141)),x101141))+~P1(f295(f295(f297(x101142),f295(f295(x101144,f388(x101141,x101143,x101144,x101142)),f389(x101141,x101143,x101144,x101142))),f295(f295(f275(x101142),f388(x101141,x101143,x101144,x101142)),f295(f295(f275(x101142),f389(x101141,x101143,x101144,x101142)),f176(f911(x101142,a897)))))) % 192.26/192.35 [10042]~P116(x100422)+~P71(x100421)+~P1(f295(f295(f207(f911(x100421,x100422)),x100423),x100424))+P1(f295(f295(f208(f911(x100421,x100422)),x100423),x100424))+~P1(f295(f57(x100421),f295(f295(f8(a897,a897,x100421),a291),f295(f295(f18(x100421,x100422,a897),f295(f295(f8(x100422,f911(x100422,a897),x100421),a292),x100423)),x100424)))) % 192.26/192.35 [9641]~P60(x96411,x96411,x96414)+P1(f295(f295(f297(f910(x96411,x96411)),f295(f295(f217(x96411,x96411),x96412),x96413)),f273(x96411,x96414)))+P1(f295(f295(f297(f910(x96411,x96411)),f295(f295(f217(x96411,x96411),x96413),x96412)),f273(x96411,x96414)))+~P1(f295(f295(f297(f910(x96411,x96411)),f295(f295(f217(x96411,x96411),x96415),x96412)),f273(x96411,x96414)))+~P1(f295(f295(f297(f910(x96411,x96411)),f295(f295(f217(x96411,x96411),x96415),x96413)),f273(x96411,x96414))) % 192.26/192.35 [5788]E(x57881,f2(a902))+~E(f295(f39(x57882),x57885),x57881)+E(f295(f39(x57882),x57883),f295(a119,x57881))+~E(x57883,f295(f295(f275(x57882),x57884),x57885))+P1(f295(f295(f297(x57882),x57884),x57885)) % 192.26/192.35 [5908]~P73(x59082)+E(x59081,f2(x59082))+E(x59083,f2(x59082))+~E(f295(f295(f256(x59082),x59084),x59083),f295(f295(f256(x59082),x59085),x59081))+E(f295(f295(f84(x59082),x59084),x59081),f295(f295(f84(x59082),x59085),x59083)) % 192.26/192.35 [5909]~P73(x59092)+E(x59091,f2(x59092))+E(x59093,f2(x59092))+~E(f295(f295(f84(x59092),x59094),x59093),f295(f295(f84(x59092),x59095),x59091))+E(f295(f295(f256(x59092),x59094),x59091),f295(f295(f256(x59092),x59095),x59093)) % 192.26/192.35 [5978]~E(f295(f39(x59781),x59785),x59783)+~E(x59785,f176(f911(x59781,a897)))+E(f295(f39(x59781),x59782),f295(a119,x59783))+~E(x59782,f295(f295(f275(x59781),x59784),x59785))+P1(f295(f295(f297(x59781),x59784),x59785)) % 192.26/192.35 [6207]~P123(x62072)+~E(f295(x62073,x62075),f2(x62072))+E(f295(f295(f9(x62071,x62072),x62073),x62074),f2(x62072))+~P1(f295(f62(x62071),x62074))+~P1(f295(f295(f297(x62071),x62075),x62074)) % 192.26/192.35 [6572]~P114(x65723)+E(x65721,x65722)+~E(f295(f268(x65723,x65724),x65721),f295(f268(x65723,x65725),x65722))+~P1(f295(f295(f208(x65723),x65725),x65722))+~P1(f295(f295(f208(x65723),x65724),x65721)) % 192.26/192.35 [6573]~P114(x65733)+E(x65731,x65732)+~E(f295(f268(x65733,x65731),x65734),f295(f268(x65733,x65732),x65735))+~P1(f295(f295(f208(x65733),x65732),x65735))+~P1(f295(f295(f208(x65733),x65731),x65734)) % 192.26/192.35 [7629]~P114(x76291)+~P12(x76291,f295(f295(f122(x76291),x76294),x76295))+~P1(f295(f295(f297(x76291),x76293),f295(f160(x76291),x76295)))+~P1(f295(f295(f297(x76291),x76292),f295(f160(x76291),x76294)))+P1(f295(f295(f207(x76291),x76292),x76293)) % 192.26/192.35 [8730]~P116(x87301)+~P1(f295(f295(f208(f911(x87301,a897)),f269(x87301,x87305,x87302)),f269(x87301,x87304,x87303)))+~P1(f295(f295(f207(x87301),x87305),x87302))+P1(f295(f295(f208(x87301),x87302),x87303))+P1(f295(f295(f208(x87301),x87304),x87305)) % 192.26/192.35 [9570]P43(x95704,x95705,x95703,x95701,x95702)+E(f295(x95701,f352(x95702,x95701,x95703)),f295(x95701,f363(x95702,x95701,x95703)))+~E(f295(x95701,f295(x95702,f322(x95702,x95701,x95703))),f322(x95702,x95701,x95703))+P1(f295(f295(x95703,f352(x95702,x95701,x95703)),f363(x95702,x95701,x95703)))+~P1(f295(f295(x95703,f295(x95702,f341(x95702,x95701,x95703))),f295(x95702,f341(x95702,x95701,x95703)))) % 192.26/192.35 [9630]P43(x96301,x96302,x96303,x96304,x96305)+~E(f295(x96304,f295(x96305,f322(x96305,x96304,x96303))),f322(x96305,x96304,x96303))+P1(f295(f295(x96303,f352(x96305,x96304,x96303)),f352(x96305,x96304,x96303)))+P1(f295(f295(x96303,f352(x96305,x96304,x96303)),f363(x96305,x96304,x96303)))+~P1(f295(f295(x96303,f295(x96305,f341(x96305,x96304,x96303))),f295(x96305,f341(x96305,x96304,x96303)))) % 192.26/192.35 [9631]P43(x96311,x96312,x96313,x96314,x96315)+~E(f295(x96314,f295(x96315,f322(x96315,x96314,x96313))),f322(x96315,x96314,x96313))+P1(f295(f295(x96313,f352(x96315,x96314,x96313)),f363(x96315,x96314,x96313)))+P1(f295(f295(x96313,f363(x96315,x96314,x96313)),f363(x96315,x96314,x96313)))+~P1(f295(f295(x96313,f295(x96315,f341(x96315,x96314,x96313))),f295(x96315,f341(x96315,x96314,x96313)))) % 192.26/192.35 [10157]~P16(x101572,x101575,x101573)+E(x101571,f176(f911(x101572,a897)))+~E(f295(f295(x101575,f295(x101574,f564(x101571,x101574,x101573,x101575,x101572))),f295(x101574,f565(x101571,x101574,x101573,x101575,x101572))),f295(x101574,f295(f295(x101575,f564(x101571,x101574,x101573,x101575,x101572)),f565(x101571,x101574,x101573,x101575,x101572))))+E(f295(x101573,f295(f276(x101572,x101572,x101574),x101571)),f295(x101574,f295(x101573,x101571)))+~P1(f295(f62(x101572),x101571)) % 192.26/192.35 [10237]~E(f478(x102371,x102372,x102373,x102374,x102375),x102375)+~P1(f295(x102372,x102375))+~P1(f295(f295(f297(x102374),x102375),f236(x102374,x102373)))+P1(f295(x102371,f489(x102371,x102372,x102373,x102374)))+~P1(f295(f295(f235(x102374,x102374,a897,a897,x102373,a292),x102372),x102371)) % 192.26/192.35 [10238]~E(f502(x102382,x102381,x102383,x102384,x102385),x102385)+~P1(f295(x102382,x102385))+~P1(f295(f295(f297(x102384),x102385),f236(x102384,x102383)))+P1(f295(x102381,f514(x102382,x102381,x102383,x102384)))+~P1(f295(f295(f235(x102384,x102384,a897,a897,x102383,a292),x102381),x102382)) % 192.26/192.35 [10239]~E(f478(x102392,x102393,x102394,x102391,x102395),x102395)+~P1(f295(x102393,x102395))+~P1(f295(f295(f297(x102391),x102395),f236(x102391,x102394)))+P1(f295(f295(f297(x102391),f489(x102392,x102393,x102394,x102391)),f236(x102391,x102394)))+~P1(f295(f295(f235(x102391,x102391,a897,a897,x102394,a292),x102393),x102392)) % 192.26/192.35 [10240]~E(f502(x102402,x102403,x102404,x102401,x102405),x102405)+~P1(f295(x102402,x102405))+~P1(f295(f295(f297(x102401),x102405),f236(x102401,x102404)))+P1(f295(f295(f297(x102401),f514(x102402,x102403,x102404,x102401)),f236(x102401,x102404)))+~P1(f295(f295(f235(x102401,x102401,a897,a897,x102404,a292),x102403),x102402)) % 192.26/192.35 [10243]~P1(f295(x102432,x102435))+~P1(f295(f295(f297(x102434),x102435),f236(x102434,x102433)))+P1(f295(x102431,f489(x102431,x102432,x102433,x102434)))+P1(f295(x102432,f478(x102431,x102432,x102433,x102434,x102435)))+~P1(f295(f295(f235(x102434,x102434,a897,a897,x102433,a292),x102432),x102431)) % 192.26/192.35 [10244]~P1(f295(x102442,x102445))+~P1(f295(f295(f297(x102444),x102445),f236(x102444,x102443)))+P1(f295(x102441,f514(x102442,x102441,x102443,x102444)))+P1(f295(x102442,f502(x102442,x102441,x102443,x102444,x102445)))+~P1(f295(f295(f235(x102444,x102444,a897,a897,x102443,a292),x102441),x102442)) % 192.26/192.35 [10246]~P1(f295(x102461,x102465))+P1(f295(f295(f297(x102464),f489(x102462,x102461,x102463,x102464)),f236(x102464,x102463)))+~P1(f295(f295(f297(x102464),x102465),f236(x102464,x102463)))+P1(f295(x102461,f478(x102462,x102461,x102463,x102464,x102465)))+~P1(f295(f295(f235(x102464,x102464,a897,a897,x102463,a292),x102461),x102462)) % 192.26/192.35 [10247]~P1(f295(x102471,x102475))+P1(f295(f295(f297(x102474),f514(x102471,x102472,x102473,x102474)),f236(x102474,x102473)))+~P1(f295(f295(f297(x102474),x102475),f236(x102474,x102473)))+P1(f295(x102471,f502(x102471,x102472,x102473,x102474,x102475)))+~P1(f295(f295(f235(x102474,x102474,a897,a897,x102473,a292),x102472),x102471)) % 192.26/192.35 [10253]~P1(f295(x102532,x102535))+~P1(f295(f295(f297(x102534),x102535),f236(x102534,x102533)))+P1(f295(f295(f297(x102534),f478(x102531,x102532,x102533,x102534,x102535)),f236(x102534,x102533)))+P1(f295(x102531,f489(x102531,x102532,x102533,x102534)))+~P1(f295(f295(f235(x102534,x102534,a897,a897,x102533,a292),x102532),x102531)) % 192.26/192.35 [10254]~P1(f295(x102542,x102545))+~P1(f295(f295(f297(x102544),x102545),f236(x102544,x102543)))+P1(f295(f295(f297(x102544),f502(x102542,x102541,x102543,x102544,x102545)),f236(x102544,x102543)))+P1(f295(x102541,f514(x102542,x102541,x102543,x102544)))+~P1(f295(f295(f235(x102544,x102544,a897,a897,x102543,a292),x102541),x102542)) % 192.26/192.35 [10256]~P1(f295(x102563,x102565))+~P1(f295(f295(f297(x102561),x102565),f236(x102561,x102564)))+P1(f295(f295(f297(x102561),f489(x102562,x102563,x102564,x102561)),f236(x102561,x102564)))+P1(f295(f295(f297(x102561),f478(x102562,x102563,x102564,x102561,x102565)),f236(x102561,x102564)))+~P1(f295(f295(f235(x102561,x102561,a897,a897,x102564,a292),x102563),x102562)) % 192.26/192.35 [10257]~P1(f295(x102572,x102575))+~P1(f295(f295(f297(x102571),x102575),f236(x102571,x102574)))+P1(f295(f295(f297(x102571),f514(x102572,x102573,x102574,x102571)),f236(x102571,x102574)))+P1(f295(f295(f297(x102571),f502(x102572,x102573,x102574,x102571,x102575)),f236(x102571,x102574)))+~P1(f295(f295(f235(x102571,x102571,a897,a897,x102574,a292),x102573),x102572)) % 192.26/192.35 [6569]~P17(x65692,x65695,x65693)+E(x65691,f176(f911(x65692,a897)))+~P1(f295(f62(x65692),x65691))+E(f295(x65693,f295(f295(f275(x65692),x65694),x65691)),f295(f295(x65695,x65694),f295(x65693,x65691)))+P1(f295(f295(f297(x65692),x65694),x65691)) % 192.26/192.35 [7389]~P16(x73892,x73893,x73894)+E(f295(f295(x73893,f295(x73894,x73891)),f295(x73894,x73895)),f295(x73894,x73895))+E(x73891,f176(f911(x73892,a897)))+~P1(f295(f62(x73892),x73895))+~P1(f295(f295(f207(f911(x73892,a897)),x73891),x73895)) % 192.26/192.35 [7758]~P17(x77584,x77585,x77581)+E(f295(x77581,x77582),x77583)+~P1(f295(f62(x77584),x77582))+~E(f295(f295(f23(f911(x77584,a897)),x77582),f295(f295(f275(x77584),x77583),f176(f911(x77584,a897)))),f176(f911(x77584,a897)))+~P1(f295(f295(f297(x77584),x77583),x77582)) % 192.26/192.35 [8699]E(x86991,x86992)+~P9(x86993,x86994,x86995)+E(f295(f295(f108(f911(x86993,a897)),x86991),x86992),f176(f911(x86993,a897)))+~P1(f295(f295(f297(f911(x86993,a897)),x86992),f295(f295(f61(x86993),x86994),x86995)))+~P1(f295(f295(f297(f911(x86993,a897)),x86991),f295(f295(f61(x86993),x86994),x86995))) % 192.26/192.35 [9525]~P77(x95252)+~E(f295(x95253,f397(x95253,x95254,x95255,x95251,x95252)),f2(x95252))+E(f295(f295(f6(x95251,x95252),x95253),x95254),f295(f295(f6(x95251,x95252),x95253),x95255))+~P1(f295(f62(x95251),x95255))+~P1(f295(f295(f207(f911(x95251,a897)),x95254),x95255)) % 192.26/192.35 [9526]~P77(x95262)+~E(f295(x95263,f398(x95263,x95264,x95265,x95261,x95262)),f2(x95262))+E(f295(f295(f6(x95261,x95262),x95263),x95264),f295(f295(f6(x95261,x95262),x95263),x95265))+~P1(f295(f62(x95261),x95265))+~P1(f295(f295(f207(f911(x95261,a897)),x95264),x95265)) % 192.26/192.35 [9527]~P83(x95272)+~E(f295(x95273,f531(x95273,x95274,x95275,x95271,x95272)),f81(x95272))+E(f295(f295(f9(x95271,x95272),x95273),x95274),f295(f295(f9(x95271,x95272),x95273),x95275))+~P1(f295(f62(x95271),x95275))+~P1(f295(f295(f207(f911(x95271,a897)),x95274),x95275)) % 192.26/192.35 [9528]~P83(x95282)+~E(f295(x95283,f533(x95283,x95284,x95285,x95281,x95282)),f81(x95282))+E(f295(f295(f9(x95281,x95282),x95283),x95284),f295(f295(f9(x95281,x95282),x95283),x95285))+~P1(f295(f62(x95281),x95285))+~P1(f295(f295(f207(f911(x95281,a897)),x95284),x95285)) % 192.26/192.35 [9993]~P91(x99931)+~P1(f295(f62(x99932),x99935))+~P1(f295(f295(f207(x99931),f2(x99931)),f295(x99933,f375(x99933,x99934,x99935,x99932,x99931))))+P1(f295(f295(f207(x99931),f295(f295(f6(x99932,x99931),x99933),x99934)),f295(f295(f6(x99932,x99931),x99933),x99935)))+~P1(f295(f295(f207(f911(x99932,a897)),x99934),x99935)) % 192.26/192.35 [7626]E(x76261,f2(a902))+P1(f295(x76262,x76263))+~E(x76264,f295(f295(f83(a902),f295(f295(f84(a902),x76261),x76263)),x76265))+~P1(f295(f295(f208(a902),x76265),x76261))+~P1(f295(x76262,f295(f295(f40(a902),x76264),x76261))) % 192.26/192.35 [7699]E(x76991,f2(a902))+P1(f295(x76992,x76993))+~P1(f295(x76992,f46(a902,x76994,x76991)))+~E(x76994,f295(f295(f83(a902),f295(f295(f84(a902),x76991),x76995)),x76993))+~P1(f295(f295(f208(a902),x76993),x76991)) % 192.26/192.35 [7991]~P73(x79913)+E(f295(x79911,x79912),f2(x79913))+~P1(f295(f62(x79914),x79915))+E(f295(f295(f9(x79914,x79913),x79911),f295(f295(f23(f911(x79914,a897)),x79915),f295(f295(f275(x79914),x79912),f176(f911(x79914,a897))))),f295(f295(f9(x79914,x79913),x79911),x79915))+P1(f295(f295(f297(x79914),x79912),x79915)) % 192.26/192.35 [8396]~P77(x83961)+~P1(f295(f62(x83962),x83965))+~P1(f295(f62(x83962),x83964))+~E(f295(f295(f108(f911(x83962,a897)),x83964),x83965),f176(f911(x83962,a897)))+E(f295(f295(f83(x83961),f295(f295(f6(x83962,x83961),x83963),x83964)),f295(f295(f6(x83962,x83961),x83963),x83965)),f295(f295(f6(x83962,x83961),x83963),f295(f295(f117(f911(x83962,a897)),x83964),x83965))) % 192.26/192.35 [8398]~P83(x83981)+~P1(f295(f62(x83982),x83985))+~P1(f295(f62(x83982),x83984))+~E(f295(f295(f108(f911(x83982,a897)),x83984),x83985),f176(f911(x83982,a897)))+E(f295(f295(f84(x83981),f295(f295(f9(x83982,x83981),x83983),x83984)),f295(f295(f9(x83982,x83981),x83983),x83985)),f295(f295(f9(x83982,x83981),x83983),f295(f295(f117(f911(x83982,a897)),x83984),x83985))) % 192.26/192.35 [8494]~P73(x84943)+E(f295(x84941,x84942),f2(x84943))+~P1(f295(f62(x84944),x84945))+E(f295(f295(f9(x84944,x84943),x84941),f295(f295(f23(f911(x84944,a897)),x84945),f295(f295(f275(x84944),x84942),f176(f911(x84944,a897))))),f295(f295(f256(x84943),f295(f295(f9(x84944,x84943),x84941),x84945)),f295(x84941,x84942)))+~P1(f295(f295(f297(x84944),x84942),x84945)) % 192.26/192.35 [9245]~P9(x92451,x92455,x92454)+~E(f295(f295(f61(x92451),f295(f295(f275(x92451),x92452),f176(f911(x92451,a897)))),x92454),f295(f295(f61(x92451),f295(f295(f275(x92451),x92453),f176(f911(x92451,a897)))),x92454))+~P1(f295(f295(f297(x92451),x92453),x92455))+~P1(f295(f295(f297(x92451),x92452),x92455))+P1(f295(f295(f297(f910(x92451,x92451)),f295(f295(f217(x92451,x92451),x92452),x92453)),x92454)) % 192.26/192.35 [9265]~P9(x92651,x92655,x92653)+E(f295(f295(f61(x92651),f295(f295(f275(x92651),x92652),f176(f911(x92651,a897)))),x92653),f295(f295(f61(x92651),f295(f295(f275(x92651),x92654),f176(f911(x92651,a897)))),x92653))+~P1(f295(f295(f297(x92651),x92654),x92655))+~P1(f295(f295(f297(x92651),x92652),x92655))+~P1(f295(f295(f297(f910(x92651,x92651)),f295(f295(f217(x92651,x92651),x92652),x92654)),x92653)) % 192.26/192.35 [9549]~P83(x95491)+~P1(f295(f62(x95492),x95495))+~P1(f295(f62(x95492),x95494))+~E(f295(f295(f108(f911(x95492,a897)),x95494),x95495),f176(f911(x95492,a897)))+E(f295(f295(f84(x95491),f295(f295(f295(f66(x95491,x95492,f84(x95491)),x95493),f81(x95491)),x95494)),f295(f295(f295(f66(x95491,x95492,f84(x95491)),x95493),f81(x95491)),x95495)),f295(f295(f295(f66(x95491,x95492,f84(x95491)),x95493),f81(x95491)),f295(f295(f117(f911(x95492,a897)),x95494),x95495))) % 192.26/192.35 [9558]~P77(x95581)+~E(f295(x95583,f411(x95583,x95585,x95584,x95582,x95581)),f2(x95581))+~P1(f295(f62(x95582),x95584))+~P1(f295(f62(x95582),x95585))+E(f295(f295(f83(x95581),f295(f295(f6(x95582,x95581),x95583),x95584)),f295(f295(f6(x95582,x95581),x95583),x95585)),f295(f295(f6(x95582,x95581),x95583),f295(f295(f117(f911(x95582,a897)),x95584),x95585))) % 192.26/192.35 [9559]~P77(x95591)+~E(f295(x95593,f415(x95593,x95595,x95594,x95592,x95591)),f2(x95591))+~P1(f295(f62(x95592),x95594))+~P1(f295(f62(x95592),x95595))+E(f295(f295(f83(x95591),f295(f295(f6(x95592,x95591),x95593),x95594)),f295(f295(f6(x95592,x95591),x95593),x95595)),f295(f295(f6(x95592,x95591),x95593),f295(f295(f117(f911(x95592,a897)),x95594),x95595))) % 192.26/192.35 [9560]~P83(x95601)+~E(f295(x95603,f454(x95603,x95605,x95604,x95602,x95601)),f81(x95601))+~P1(f295(f62(x95602),x95604))+~P1(f295(f62(x95602),x95605))+E(f295(f295(f84(x95601),f295(f295(f9(x95602,x95601),x95603),x95604)),f295(f295(f9(x95602,x95601),x95603),x95605)),f295(f295(f9(x95602,x95601),x95603),f295(f295(f117(f911(x95602,a897)),x95604),x95605))) % 192.26/192.35 [9561]~P83(x95611)+~E(f295(x95613,f455(x95613,x95615,x95614,x95612,x95611)),f81(x95611))+~P1(f295(f62(x95612),x95614))+~P1(f295(f62(x95612),x95615))+E(f295(f295(f84(x95611),f295(f295(f9(x95612,x95611),x95613),x95614)),f295(f295(f9(x95612,x95611),x95613),x95615)),f295(f295(f9(x95612,x95611),x95613),f295(f295(f117(f911(x95612,a897)),x95614),x95615))) % 192.26/192.35 [9765]~P83(x97651)+~E(f295(x97653,f451(x97653,x97655,x97654,x97652,x97651)),f81(x97651))+~P1(f295(f62(x97652),x97654))+~P1(f295(f62(x97652),x97655))+E(f295(f295(f84(x97651),f295(f295(f295(f66(x97651,x97652,f84(x97651)),x97653),f81(x97651)),x97654)),f295(f295(f295(f66(x97651,x97652,f84(x97651)),x97653),f81(x97651)),x97655)),f295(f295(f295(f66(x97651,x97652,f84(x97651)),x97653),f81(x97651)),f295(f295(f117(f911(x97652,a897)),x97654),x97655))) % 192.26/192.35 [9882]~P77(x98822)+E(f295(f295(f6(x98821,x98822),x98823),x98824),f295(f295(f6(x98821,x98822),x98823),x98825))+~P1(f295(f62(x98821),x98825))+~P1(f295(f295(f207(f911(x98821,a897)),x98824),x98825))+P1(f295(f295(f297(x98821),f397(x98823,x98824,x98825,x98821,x98822)),f295(f295(f23(f911(x98821,a897)),x98825),x98824))) % 192.26/192.35 [9883]~P77(x98832)+E(f295(f295(f6(x98831,x98832),x98833),x98834),f295(f295(f6(x98831,x98832),x98833),x98835))+~P1(f295(f62(x98831),x98835))+~P1(f295(f295(f207(f911(x98831,a897)),x98834),x98835))+P1(f295(f295(f297(x98831),f398(x98833,x98834,x98835,x98831,x98832)),f295(f295(f23(f911(x98831,a897)),x98835),x98834))) % 192.26/192.35 [9884]~P83(x98842)+E(f295(f295(f9(x98841,x98842),x98843),x98844),f295(f295(f9(x98841,x98842),x98843),x98845))+~P1(f295(f62(x98841),x98845))+~P1(f295(f295(f207(f911(x98841,a897)),x98844),x98845))+P1(f295(f295(f297(x98841),f531(x98843,x98844,x98845,x98841,x98842)),f295(f295(f23(f911(x98841,a897)),x98845),x98844))) % 192.26/192.35 [9885]~P83(x98852)+E(f295(f295(f9(x98851,x98852),x98853),x98854),f295(f295(f9(x98851,x98852),x98853),x98855))+~P1(f295(f62(x98851),x98855))+~P1(f295(f295(f207(f911(x98851,a897)),x98854),x98855))+P1(f295(f295(f297(x98851),f533(x98853,x98854,x98855,x98851,x98852)),f295(f295(f23(f911(x98851,a897)),x98855),x98854))) % 192.26/192.35 [9901]~P77(x99011)+~P1(f295(f62(x99012),x99014))+~P1(f295(f62(x99012),x99015))+E(f295(f295(f83(x99011),f295(f295(f6(x99012,x99011),x99013),x99014)),f295(f295(f6(x99012,x99011),x99013),x99015)),f295(f295(f6(x99012,x99011),x99013),f295(f295(f117(f911(x99012,a897)),x99014),x99015)))+P1(f295(f295(f297(x99012),f411(x99013,x99015,x99014,x99012,x99011)),f295(f295(f108(f911(x99012,a897)),x99014),x99015))) % 192.26/192.35 [9902]~P77(x99021)+~P1(f295(f62(x99022),x99024))+~P1(f295(f62(x99022),x99025))+E(f295(f295(f83(x99021),f295(f295(f6(x99022,x99021),x99023),x99024)),f295(f295(f6(x99022,x99021),x99023),x99025)),f295(f295(f6(x99022,x99021),x99023),f295(f295(f117(f911(x99022,a897)),x99024),x99025)))+P1(f295(f295(f297(x99022),f415(x99023,x99025,x99024,x99022,x99021)),f295(f295(f108(f911(x99022,a897)),x99024),x99025))) % 192.26/192.35 [9903]~P83(x99031)+~P1(f295(f62(x99032),x99034))+~P1(f295(f62(x99032),x99035))+E(f295(f295(f84(x99031),f295(f295(f9(x99032,x99031),x99033),x99034)),f295(f295(f9(x99032,x99031),x99033),x99035)),f295(f295(f9(x99032,x99031),x99033),f295(f295(f117(f911(x99032,a897)),x99034),x99035)))+P1(f295(f295(f297(x99032),f454(x99033,x99035,x99034,x99032,x99031)),f295(f295(f108(f911(x99032,a897)),x99034),x99035))) % 192.26/192.35 [9904]~P83(x99041)+~P1(f295(f62(x99042),x99044))+~P1(f295(f62(x99042),x99045))+E(f295(f295(f84(x99041),f295(f295(f9(x99042,x99041),x99043),x99044)),f295(f295(f9(x99042,x99041),x99043),x99045)),f295(f295(f9(x99042,x99041),x99043),f295(f295(f117(f911(x99042,a897)),x99044),x99045)))+P1(f295(f295(f297(x99042),f455(x99043,x99045,x99044,x99042,x99041)),f295(f295(f108(f911(x99042,a897)),x99044),x99045))) % 192.26/192.35 [9911]~P91(x99115)+~P1(f295(f62(x99111),x99114))+P1(f295(f295(f207(x99115),f295(f295(f6(x99111,x99115),x99112),x99113)),f295(f295(f6(x99111,x99115),x99112),x99114)))+~P1(f295(f295(f207(f911(x99111,a897)),x99113),x99114))+P1(f295(f295(f297(x99111),f375(x99112,x99113,x99114,x99111,x99115)),f295(f295(f23(f911(x99111,a897)),x99114),x99113))) % 192.26/192.35 [9952]~P83(x99521)+~P1(f295(f62(x99522),x99524))+~P1(f295(f62(x99522),x99525))+E(f295(f295(f84(x99521),f295(f295(f295(f66(x99521,x99522,f84(x99521)),x99523),f81(x99521)),x99524)),f295(f295(f295(f66(x99521,x99522,f84(x99521)),x99523),f81(x99521)),x99525)),f295(f295(f295(f66(x99521,x99522,f84(x99521)),x99523),f81(x99521)),f295(f295(f117(f911(x99522,a897)),x99524),x99525)))+P1(f295(f295(f297(x99522),f451(x99523,x99525,x99524,x99522,x99521)),f295(f295(f108(f911(x99522,a897)),x99524),x99525))) % 192.26/192.35 [8924]~P17(x89241,x89244,x89245)+~P1(f295(f62(x89241),x89242))+E(f295(f295(f23(f911(x89241,a897)),x89242),f295(f295(f275(x89241),x89243),f176(f911(x89241,a897)))),f176(f911(x89241,a897)))+~P1(f295(f295(f297(x89241),x89243),x89242))+E(f295(f295(x89244,x89243),f295(x89245,f295(f295(f23(f911(x89241,a897)),x89242),f295(f295(f275(x89241),x89243),f176(f911(x89241,a897)))))),f295(x89245,x89242)) % 192.26/192.35 [9000]~P17(x90001,x90004,x90005)+~P1(f295(f62(x90001),x90003))+~P1(f295(f62(x90001),x90002))+E(f295(f295(f108(f911(x90001,a897)),x90002),x90003),f176(f911(x90001,a897)))+E(f295(f295(x90004,f295(x90005,f295(f295(f117(f911(x90001,a897)),x90002),x90003))),f295(x90005,f295(f295(f108(f911(x90001,a897)),x90002),x90003))),f295(f295(x90004,f295(x90005,x90002)),f295(x90005,x90003))) % 192.26/192.35 [9563]~P1(f295(f295(f207(a1),x95634),f2(a1)))+~P1(f295(f295(f208(a1),x95633),x95635))+P1(f295(f295(f207(a1),x95631),x95632))+~P1(f295(f295(f208(a1),x95633),x95634))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),f295(f295(f84(a1),x95633),x95632)),x95635)),f295(f295(f83(a1),f295(f295(f84(a1),x95633),x95631)),x95634))) % 192.26/192.35 [9565]~P1(f295(f295(f207(a1),f2(a1)),x95655))+P1(f295(f295(f207(a1),x95651),x95652))+~P1(f295(f295(f208(a1),x95653),x95654))+~P1(f295(f295(f208(a1),x95655),x95654))+~P1(f295(f295(f207(a1),f295(f295(f83(a1),f295(f295(f84(a1),x95654),x95651)),x95655)),f295(f295(f83(a1),f295(f295(f84(a1),x95654),x95652)),x95653))) % 192.26/192.35 [9672]~P73(x96725)+E(f295(x96721,f485(x96721,x96722,x96723,x96724,x96725)),f2(x96725))+~P1(f295(f62(x96724),x96723))+~P1(f295(f62(x96724),x96722))+E(f295(f295(f256(x96725),f295(f295(f84(x96725),f295(f295(f9(x96724,x96725),x96721),x96723)),f295(f295(f9(x96724,x96725),x96721),x96722))),f295(f295(f9(x96724,x96725),x96721),f295(f295(f108(f911(x96724,a897)),x96723),x96722))),f295(f295(f9(x96724,x96725),x96721),f295(f295(f117(f911(x96724,a897)),x96723),x96722))) % 192.26/192.35 [9946]~P73(x99461)+~P1(f295(f62(x99462),x99464))+~P1(f295(f62(x99462),x99465))+E(f295(f295(f256(x99461),f295(f295(f84(x99461),f295(f295(f9(x99462,x99461),x99463),x99464)),f295(f295(f9(x99462,x99461),x99463),x99465))),f295(f295(f9(x99462,x99461),x99463),f295(f295(f108(f911(x99462,a897)),x99464),x99465))),f295(f295(f9(x99462,x99461),x99463),f295(f295(f117(f911(x99462,a897)),x99464),x99465)))+P1(f295(f295(f297(x99462),f485(x99463,x99465,x99464,x99462,x99461)),f295(f295(f108(f911(x99462,a897)),x99464),x99465))) % 192.26/192.35 [9285]E(f295(f295(f122(x92851),x92852),x92853),f295(f295(f122(x92851),x92854),x92855))+~E(f295(f295(f161(x92851),f295(f177(f903(x92851)),x92854)),x92852),x92854)+~E(f295(f295(f161(x92851),f295(f177(f903(x92851)),x92852)),x92854),x92852)+~E(x92855,f295(f295(f122(x92851),f295(f295(f127(x92851),f295(f177(f903(x92851)),x92854)),x92852)),x92853))+~E(f295(f295(f122(x92851),f295(f295(f127(x92851),f295(f177(f903(x92851)),x92852)),x92854)),x92855),x92853) % 192.26/192.35 [9670]~P114(x96702)+E(f295(f295(f137(x96701,x96702,x96703),x96704),f158(x96701,x96704,x96705)),x96705)+~P12(x96702,f295(f295(f143(x96701,x96702),x96703),x96705))+~P1(f295(f295(f297(x96701),x96704),f295(f160(x96701),x96705)))+~E(f295(f130(x96701),f295(f125(x96701,f295(f295(f8(x96702,a897,x96701),f295(a292,f295(x96703,x96704))),x96703)),x96705)),x96704) % 192.26/192.35 [10009]~P81(x100091)+~P1(f295(f67(x100091,x100091,f84(x100091),x100092,x100093),x100095))+~P1(f295(f295(f297(x100091),x100094),x100093))+P1(f295(f295(f297(x100091),x100092),x100093))+P1(f295(f67(x100091,x100091,f84(x100091),x100094,f295(f295(f275(x100091),x100092),f295(f295(f23(f911(x100091,a897)),x100093),f295(f295(f275(x100091),x100094),f176(f911(x100091,a897)))))),x100095)) % 192.26/192.35 [7398]E(x73981,x73982)+~P24(x73984,x73985,x73983,x73986)+~E(f295(x73983,x73981),f295(x73983,x73982))+~P1(f295(f295(f297(x73984),x73982),x73986))+~P1(f295(f295(f297(x73984),x73981),x73986)) % 192.26/192.35 [6661]~P150(x66614)+E(x66611,x66612)+~E(x66615,x66616)+E(x66613,f2(x66614))+~E(f295(f295(f83(x66614),x66615),f295(f295(f84(x66614),x66613),x66611)),f295(f295(f83(x66614),x66616),f295(f295(f84(x66614),x66613),x66612))) % 192.26/192.35 [7679]~P6(x76791)+~P114(x76791)+~P1(f295(f295(f208(x76791),x76792),f295(x76795,x76796)))+~P1(f295(f295(f297(x76793),x76796),x76794))+P1(f295(f295(f208(x76791),x76792),f295(f295(f44(x76793,x76791),x76794),x76795))) % 192.26/192.35 [8366]~P6(x83661)+~P114(x83661)+~P1(f295(f295(f208(x83661),f295(x83664,x83666)),x83665))+~P1(f295(f295(f297(x83662),x83666),x83663))+P1(f295(f295(f208(x83661),f295(f295(f43(x83662,x83661),x83663),x83664)),x83665)) % 192.26/192.35 [8428]~P18(x84282,x84285,x84286,x84281)+~P1(f295(f62(x84282),x84284))+~P1(f295(f62(x84282),x84283))+~E(f295(f295(f108(f911(x84282,a897)),x84283),x84284),f176(f911(x84282,a897)))+E(f295(x84281,f295(f295(f117(f911(x84282,a897)),x84283),x84284)),f295(f295(f74(x84285,x84285,x84285),f295(x84281,x84283)),f295(x84281,x84284))) % 192.26/192.35 [8968]~P43(x89685,x89686,x89681,x89684,x89687)+~E(f295(x89684,x89682),f295(x89684,x89683))+~P1(f295(f295(x89681,x89683),x89683))+~P1(f295(f295(x89681,x89682),x89682))+P1(f295(f295(x89681,x89682),x89683)) % 192.26/192.35 [8986]~P56(x89865,x89866,x89861,x89864,x89867)+E(f295(x89861,x89862),f295(x89861,x89863))+~E(f295(x89864,f295(x89861,x89862)),f295(x89864,f295(x89861,x89863)))+~P1(f295(f295(x89861,x89862),x89862))+~P1(f295(f295(x89861,x89863),x89863)) % 192.26/192.35 [8966]E(x89661,x89662)+~P62(x89664,x89665,x89666,x89663,x89667)+~E(f295(x89663,x89661),f295(x89663,x89662))+~P1(f295(f295(f297(x89665),x89662),x89667))+~P1(f295(f295(f297(x89665),x89661),x89667)) % 192.26/192.35 [10298]~P1(f295(x102982,x102984))+~E(x102985,f295(f125(x102981,x102982),x102987))+E(f295(f125(x102981,x102982),x102983),f295(f295(f140(x102981),x102984),x102985))+~E(x102983,f295(f295(f122(x102981),x102986),f295(f295(f140(x102981),x102984),x102987)))+P1(f295(x102982,f791(x102985,x102984,x102983,x102982,x102981,x102986,x102987))) % 192.26/192.35 [10299]~P1(f295(x102994,x102992))+~E(x102993,f295(f125(x102991,x102994),x102997))+E(f295(f295(f140(x102991),x102992),x102993),f295(f125(x102991,x102994),x102995))+~E(x102995,f295(f295(f122(x102991),x102996),f295(f295(f140(x102991),x102992),x102997)))+P1(f295(x102994,f771(x102995,x102994,x102993,x102992,x102991,x102996,x102997))) % 192.26/192.35 [10357]~P1(f295(x103572,x103574))+~E(x103575,f295(f125(x103571,x103572),x103577))+E(f295(f125(x103571,x103572),x103573),f295(f295(f140(x103571),x103574),x103575))+~E(x103573,f295(f295(f122(x103571),x103576),f295(f295(f140(x103571),x103574),x103577)))+P1(f295(f295(f297(x103571),f791(x103575,x103574,x103573,x103572,x103571,x103576,x103577)),f295(f160(x103571),x103576))) % 192.26/192.35 [10358]~P1(f295(x103584,x103582))+~E(x103583,f295(f125(x103581,x103584),x103587))+E(f295(f295(f140(x103581),x103582),x103583),f295(f125(x103581,x103584),x103585))+~E(x103585,f295(f295(f122(x103581),x103586),f295(f295(f140(x103581),x103582),x103587)))+P1(f295(f295(f297(x103581),f771(x103585,x103584,x103583,x103582,x103581,x103586,x103587)),f295(f160(x103581),x103586))) % 192.26/192.35 [10361]~P9(x103611,x103617,x103616)+~P10(x103611,f911(x103615,a897),x103616,x103614)+P1(f295(f295(f297(x103611),f585(x103612,x103613,x103614,x103615,x103616,x103617,x103611)),x103617))+~P1(f295(f295(f297(f911(x103611,a897)),x103613),f295(f295(f61(x103611),x103617),x103616)))+P1(f295(f295(f297(f911(x103615,a897)),f295(f295(f44(x103611,f911(x103615,a897)),x103613),x103614)),x103612)) % 192.26/192.35 [10416]~P9(x104162,x104166,x104167)+~P10(x104162,f911(x104161,a897),x104167,x104164)+~P1(f295(f295(f297(f911(x104162,a897)),x104163),f295(f295(f61(x104162),x104166),x104167)))+~P1(f295(f295(f297(f911(x104161,a897)),f295(x104164,f585(x104165,x104163,x104164,x104161,x104167,x104166,x104162))),x104165))+P1(f295(f295(f297(f911(x104161,a897)),f295(f295(f44(x104162,f911(x104161,a897)),x104163),x104164)),x104165)) % 192.26/192.35 [8160]~P83(x81602)+~P24(x81601,x81605,x81608,x81604)+~E(x81607,f295(f276(x81601,x81605,x81608),x81604))+~E(x81603,f295(f295(f74(x81605,x81602,x81601),x81606),x81608))+E(f295(f295(f9(x81601,x81602),x81603),x81604),f295(f295(f9(x81605,x81602),x81606),x81607)) % 192.26/192.35 [10419]~P83(x104192)+~P24(x104195,x104191,x104198,x104197)+~E(f295(x104196,f532(x104193,x104196,x104194,x104197,x104198,x104191,x104195,x104192)),f295(f295(f295(f74(x104191,x104192,x104195),x104193),x104198),f532(x104193,x104196,x104194,x104197,x104198,x104191,x104195,x104192)))+~E(x104194,f295(f276(x104195,x104191,x104198),x104197))+E(f295(f295(f9(x104191,x104192),x104193),x104194),f295(f295(f9(x104195,x104192),x104196),x104197)) % 192.26/192.35 [10421]~P77(x104212)+~P24(x104211,x104215,x104218,x104214)+~E(x104217,f295(f276(x104211,x104215,x104218),x104214))+E(f295(f295(f6(x104211,x104212),x104213),x104214),f295(f295(f6(x104215,x104212),x104216),x104217))+P1(f295(f295(f297(x104211),f810(x104216,x104213,x104217,x104214,x104218,x104215,x104211,x104212)),x104214)) % 192.26/192.35 [10422]~P83(x104222)+~P24(x104221,x104225,x104228,x104224)+~E(x104227,f295(f276(x104221,x104225,x104228),x104224))+E(f295(f295(f9(x104221,x104222),x104223),x104224),f295(f295(f9(x104225,x104222),x104226),x104227))+P1(f295(f295(f297(x104221),f532(x104226,x104223,x104227,x104224,x104228,x104225,x104221,x104222)),x104224)) % 192.26/192.35 [10426]~P77(x104262)+~P24(x104265,x104261,x104268,x104267)+~E(x104264,f295(f276(x104265,x104261,x104268),x104267))+~E(f295(x104266,f810(x104263,x104266,x104264,x104267,x104268,x104261,x104265,x104262)),f295(x104263,f295(x104268,f810(x104263,x104266,x104264,x104267,x104268,x104261,x104265,x104262))))+E(f295(f295(f6(x104261,x104262),x104263),x104264),f295(f295(f6(x104265,x104262),x104266),x104267)) % 192.26/192.35 [9843]~P22(x98436,x98432,x98435,x98437,x98438,x98431)+~P1(f295(f62(x98432),x98434))+~P1(f295(f62(x98432),x98433))+~E(f295(f295(f108(f911(x98432,a897)),x98433),x98434),f176(f911(x98432,a897)))+E(f295(x98431,f295(f295(f117(f911(x98432,a897)),x98433),x98434)),f295(f295(x98435,f295(x98431,x98433)),f295(x98431,x98434))) % 192.26/192.35 [10287]~P22(x102878,x102872,x102875,x102877,x102876,x102871)+~E(f295(x102876,f566(x102874,x102873,x102871,x102876,x102877,x102875,x102872)),x102877)+~P1(f295(f62(x102872),x102873))+~P1(f295(f62(x102872),x102874))+E(f295(x102871,f295(f295(f117(f911(x102872,a897)),x102873),x102874)),f295(f295(x102875,f295(x102871,x102873)),f295(x102871,x102874))) % 192.26/192.35 [10368]~P22(x103688,x103682,x103685,x103687,x103686,x103681)+~P1(f295(f62(x103682),x103683))+~P1(f295(f62(x103682),x103684))+E(f295(x103681,f295(f295(f117(f911(x103682,a897)),x103683),x103684)),f295(f295(x103685,f295(x103681,x103683)),f295(x103681,x103684)))+P1(f295(f295(f297(x103682),f566(x103684,x103683,x103681,x103686,x103687,x103685,x103682)),f295(f295(f108(f911(x103682,a897)),x103683),x103684))) % 192.26/192.35 [9006]~P43(x90064,x90065,x90061,x90066,x90067)+~P1(f295(f295(x90061,x90069),x90068))+P1(f295(f295(x90061,x90062),x90063))+~P1(f295(f295(x90061,x90063),x90068))+~P1(f295(f295(x90061,x90062),x90069)) % 192.26/192.35 [9007]~P43(x90074,x90075,x90071,x90076,x90077)+P1(f295(f295(x90071,x90072),x90073))+~P1(f295(f295(x90071,x90078),x90073))+~P1(f295(f295(x90071,x90079),x90072))+~P1(f295(f295(x90071,x90079),x90078)) % 192.26/192.35 [9996]~P9(x99964,x99968,x99965)+~P9(x99961,x99969,x99963)+~P11(x99961,x99964,f911(x99962,a897),x99963,x99965,x99967)+P10(x99961,f911(x99962,a897),x99963,f295(f295(f8(f911(x99964,f911(x99962,a897)),f911(x99962,a897),x99961),f295(f44(x99964,f911(x99962,a897)),f295(f252(x99964,x99964,x99965),f295(f295(f275(x99964),x99966),f176(f911(x99964,a897)))))),x99967))+~P1(f295(f295(f297(x99964),x99966),x99968)) % 192.26/192.35 [5591]~P114(x55913)+~P12(x55913,x55911)+E(x55911,f757(x55912,x55913))+~E(f295(f160(x55913),x55911),x55912)+~P1(f295(f62(x55913),x55912))+~P1(f295(f126(x55913),x55911)) % 192.26/192.35 [7388]P14(x73881,x73882)+~E(f295(x73882,f380(x73882)),f295(x73882,f391(x73882)))+~P1(f295(f295(x73882,f380(x73882)),f380(x73882)))+~P1(f295(f295(x73882,f380(x73882)),f391(x73882)))+~P1(f295(f295(x73882,f391(x73882)),f391(x73882)))+~P1(f295(f295(x73882,x73883),x73883)) % 192.26/192.35 [5214]~P151(x52142)+~P121(x52142)+~P134(x52142)+~P139(x52142)+E(x52141,f2(x52142))+~E(f295(f295(f218(x52142),x52141),x52143),f2(x52142)) % 192.26/192.35 [5215]~P151(x52152)+~P121(x52152)+~P134(x52152)+~P139(x52152)+~E(x52151,f2(a902))+~E(f295(f295(f218(x52152),x52153),x52151),f2(x52152)) % 192.26/192.35 [6643]~P91(x66431)+~E(x66433,f2(x66431))+~E(x66432,f2(x66431))+E(f295(f295(f83(x66431),x66432),x66433),f2(x66431))+~P1(f295(f295(f207(x66431),f2(x66431)),x66433))+~P1(f295(f295(f207(x66431),f2(x66431)),x66432)) % 192.26/192.35 [9042]~E(f295(f216(a902,a902),x90423),f2(a902))+~E(x90421,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),x90423)),x90422)),f295(f227(a902,a902),x90423)))+P1(f295(f49(x90421,x90422),x90423))+~P1(f295(f295(f207(a902),f295(f227(a902,a902),x90423)),f2(a902)))+P1(f295(f295(f208(a902),f2(a902)),x90422))+~P1(f295(f295(f208(a902),x90422),f295(f227(a902,a902),x90423))) % 192.26/192.35 [9049]E(x90491,f2(a902))+~E(x90492,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),x90493)),x90491)),f295(f227(a902,a902),x90493)))+P1(f295(f49(x90492,x90491),x90493))+~P1(f295(f295(f208(a902),f2(a902)),x90491))+~P1(f295(f295(f207(a902),f2(a902)),f295(f227(a902,a902),x90493)))+~P1(f295(f295(f208(a902),f295(f227(a902,a902),x90493)),x90491)) % 192.26/192.35 [9069]~E(f295(f216(a902,a902),x90693),f2(a902))+~E(x90691,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),x90693)),x90692)),f295(f227(a902,a902),x90693)))+P1(f295(f49(x90691,x90692),x90693))+~P1(f295(f295(f208(a902),f2(a902)),x90692))+~P1(f295(f295(f207(a902),f2(a902)),f295(f227(a902,a902),x90693)))+~P1(f295(f295(f208(a902),f295(f227(a902,a902),x90693)),x90692)) % 192.26/192.35 [7015]~P99(x70152)+E(x70151,f176(f911(x70152,a897)))+E(x70153,f176(f911(x70152,a897)))+~P1(f295(f62(x70152),x70151))+~P1(f295(f62(x70152),x70153))+E(f10(x70152,f295(f295(f117(f911(x70152,a897)),x70153),x70151)),f295(f295(f117(x70152),f10(x70152,x70153)),f10(x70152,x70151))) % 192.26/192.35 [7016]~P99(x70162)+E(x70161,f176(f911(x70162,a897)))+E(x70163,f176(f911(x70162,a897)))+~P1(f295(f62(x70162),x70161))+~P1(f295(f62(x70162),x70163))+E(f11(x70162,f295(f295(f117(f911(x70162,a897)),x70163),x70161)),f295(f295(f108(x70162),f11(x70162,x70163)),f11(x70162,x70161))) % 192.26/192.35 [7017]~P114(x70172)+E(x70171,f176(f911(x70172,a897)))+E(x70173,f176(f911(x70172,a897)))+~P1(f295(f62(x70172),x70171))+~P1(f295(f62(x70172),x70173))+E(f14(x70172,f295(f295(f117(f911(x70172,a897)),x70173),x70171)),f295(f295(f205(x70172),f14(x70172,x70173)),f14(x70172,x70171))) % 192.26/192.35 [7018]~P114(x70182)+E(x70181,f176(f911(x70182,a897)))+E(x70183,f176(f911(x70182,a897)))+~P1(f295(f62(x70182),x70181))+~P1(f295(f62(x70182),x70183))+E(f15(x70182,f295(f295(f117(f911(x70182,a897)),x70183),x70181)),f295(f295(f206(x70182),f15(x70182,x70183)),f15(x70182,x70181))) % 192.26/192.35 [7656]~P106(x76562)+E(x76561,f176(f911(x76562,a897)))+E(x76563,f176(f911(x76562,a897)))+~P1(f295(f62(x76562),x76561))+~P1(f295(f62(x76562),x76563))+E(f295(f295(f84(x76562),f295(f64(x76562,f84(x76562)),x76563)),f295(f64(x76562,f84(x76562)),x76561)),f295(f64(x76562,f84(x76562)),f295(f295(f117(f911(x76562,a897)),x76563),x76561))) % 192.26/192.35 [7812]~P114(x78122)+E(x78121,f176(f911(x78122,a897)))+E(x78123,f176(f911(x78122,a897)))+~P1(f295(f62(x78122),x78121))+~P1(f295(f62(x78122),x78123))+E(f295(f295(f205(x78122),f12(x78122,f205(x78122),x78123)),f12(x78122,f205(x78122),x78121)),f12(x78122,f205(x78122),f295(f295(f117(f911(x78122,a897)),x78123),x78121))) % 192.26/192.35 [7813]~P114(x78132)+E(x78131,f176(f911(x78132,a897)))+E(x78133,f176(f911(x78132,a897)))+~P1(f295(f62(x78132),x78131))+~P1(f295(f62(x78132),x78133))+E(f295(f295(f206(x78132),f13(x78132,f206(x78132),x78133)),f13(x78132,f206(x78132),x78131)),f13(x78132,f206(x78132),f295(f295(f117(f911(x78132,a897)),x78133),x78131))) % 192.26/192.35 [8866]~P1(f295(x88661,x88663))+P1(f295(x88661,f517(x88661,x88662)))+P1(f295(x88661,f505(x88661,x88662)))+~P1(f295(f295(f208(a1),f2(a1)),x88662))+~P1(f295(f295(f297(a1),x88663),f269(a1,f81(a1),x88662)))+P1(f295(x88661,f295(f295(f23(a1),f505(x88661,x88662)),f295(f295(f84(a1),f516(x88661,x88662)),x88662)))) % 192.26/192.35 [9188]~P1(f295(x91881,x91883))+~P1(f295(x91881,f505(x91881,x91882)))+P1(f295(x91881,f517(x91881,x91882)))+~P1(f295(f295(f208(a1),f2(a1)),x91882))+~P1(f295(f295(f297(a1),x91883),f269(a1,f81(a1),x91882)))+~P1(f295(x91881,f295(f295(f23(a1),f505(x91881,x91882)),f295(f295(f84(a1),f516(x91881,x91882)),x91882)))) % 192.26/192.35 [10449]~P108(x104492)+E(x104491,f176(f911(x104492,a897)))+E(x104493,f176(f911(x104492,a897)))+~P1(f295(f62(x104492),x104491))+~P1(f295(f62(x104492),x104493))+E(f11(x104492,f295(f212(x104492),f295(f295(f8(f911(x104492,a897),a897,x104492),f90(x104492)),f295(f295(f8(f911(x104492,f911(x104492,a897)),f911(x104492,a897),x104492),f295(f8(f911(x104492,a897),a897,x104492),f90(x104492))),f295(f295(f7(x104492,f911(x104492,f911(x104492,a897)),f911(x104492,f911(x104492,a897))),f295(f295(f8(f911(x104492,f911(f911(x104492,a897),f911(x104492,a897))),f911(f911(x104492,f911(x104492,a897)),f911(x104492,f911(x104492,a897))),x104492),f18(x104492,f911(x104492,a897),f911(x104492,a897))),f295(f295(f8(f911(x104492,f911(x104492,f911(a897,a897))),f911(x104492,f911(f911(x104492,a897),f911(x104492,a897))),x104492),f295(f8(f911(x104492,f911(a897,a897)),f911(f911(x104492,a897),f911(x104492,a897)),x104492),f18(x104492,a897,a897))),f295(f295(f8(f911(x104492,f911(x104492,a897)),f911(x104492,f911(x104492,f911(a897,a897))),x104492),f295(f8(f911(x104492,a897),f911(x104492,f911(a897,a897)),x104492),f295(f8(a897,f911(a897,a897),x104492),a293))),f295(f295(f7(x104492,f911(x104492,f911(x104492,x104492)),f911(x104492,f911(x104492,a897))),f295(f295(f8(f911(f911(x104492,x104492),f911(x104492,a897)),f911(f911(x104492,f911(x104492,x104492)),f911(x104492,f911(x104492,a897))),x104492),f8(f911(x104492,x104492),f911(x104492,a897),x104492)),f295(f295(f8(f911(x104492,a897),f911(f911(x104492,x104492),f911(x104492,a897)),x104492),f8(x104492,a897,x104492)),a292))),f117(x104492)))))),f295(f295(f7(x104492,f911(x104492,a897),f911(x104492,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x104492,a897),f911(x104492,a897)),x104492),f8(a897,a897,x104492)),f295(f295(f8(a897,f911(a897,a897),x104492),a293),f295(f295(f7(x104492,f911(x104492,a897),a897),f297(x104492)),x104493)))),f295(f295(f7(x104492,f911(x104492,a897),a897),f297(x104492)),x104491))))))),f295(f295(f117(x104492),f11(x104492,x104493)),f11(x104492,x104491))) % 192.26/192.35 [10450]~P108(x104502)+E(x104501,f176(f911(x104502,a897)))+E(x104503,f176(f911(x104502,a897)))+~P1(f295(f62(x104502),x104501))+~P1(f295(f62(x104502),x104503))+E(f10(x104502,f295(f212(x104502),f295(f295(f8(f911(x104502,a897),a897,x104502),f90(x104502)),f295(f295(f8(f911(x104502,f911(x104502,a897)),f911(x104502,a897),x104502),f295(f8(f911(x104502,a897),a897,x104502),f90(x104502))),f295(f295(f7(x104502,f911(x104502,f911(x104502,a897)),f911(x104502,f911(x104502,a897))),f295(f295(f8(f911(x104502,f911(f911(x104502,a897),f911(x104502,a897))),f911(f911(x104502,f911(x104502,a897)),f911(x104502,f911(x104502,a897))),x104502),f18(x104502,f911(x104502,a897),f911(x104502,a897))),f295(f295(f8(f911(x104502,f911(x104502,f911(a897,a897))),f911(x104502,f911(f911(x104502,a897),f911(x104502,a897))),x104502),f295(f8(f911(x104502,f911(a897,a897)),f911(f911(x104502,a897),f911(x104502,a897)),x104502),f18(x104502,a897,a897))),f295(f295(f8(f911(x104502,f911(x104502,a897)),f911(x104502,f911(x104502,f911(a897,a897))),x104502),f295(f8(f911(x104502,a897),f911(x104502,f911(a897,a897)),x104502),f295(f8(a897,f911(a897,a897),x104502),a293))),f295(f295(f7(x104502,f911(x104502,f911(x104502,x104502)),f911(x104502,f911(x104502,a897))),f295(f295(f8(f911(f911(x104502,x104502),f911(x104502,a897)),f911(f911(x104502,f911(x104502,x104502)),f911(x104502,f911(x104502,a897))),x104502),f8(f911(x104502,x104502),f911(x104502,a897),x104502)),f295(f295(f8(f911(x104502,a897),f911(f911(x104502,x104502),f911(x104502,a897)),x104502),f8(x104502,a897,x104502)),a292))),f108(x104502)))))),f295(f295(f7(x104502,f911(x104502,a897),f911(x104502,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x104502,a897),f911(x104502,a897)),x104502),f8(a897,a897,x104502)),f295(f295(f8(a897,f911(a897,a897),x104502),a293),f295(f295(f7(x104502,f911(x104502,a897),a897),f297(x104502)),x104503)))),f295(f295(f7(x104502,f911(x104502,a897),a897),f297(x104502)),x104501))))))),f295(f295(f108(x104502),f10(x104502,x104503)),f10(x104502,x104501))) % 192.26/192.35 [10451]~P114(x104512)+E(x104511,f176(f911(x104512,a897)))+E(x104513,f176(f911(x104512,a897)))+~P1(f295(f62(x104512),x104511))+~P1(f295(f62(x104512),x104513))+E(f13(x104512,f206(x104512),f295(f212(x104512),f295(f295(f8(f911(x104512,a897),a897,x104512),f90(x104512)),f295(f295(f8(f911(x104512,f911(x104512,a897)),f911(x104512,a897),x104512),f295(f8(f911(x104512,a897),a897,x104512),f90(x104512))),f295(f295(f7(x104512,f911(x104512,f911(x104512,a897)),f911(x104512,f911(x104512,a897))),f295(f295(f8(f911(x104512,f911(f911(x104512,a897),f911(x104512,a897))),f911(f911(x104512,f911(x104512,a897)),f911(x104512,f911(x104512,a897))),x104512),f18(x104512,f911(x104512,a897),f911(x104512,a897))),f295(f295(f8(f911(x104512,f911(x104512,f911(a897,a897))),f911(x104512,f911(f911(x104512,a897),f911(x104512,a897))),x104512),f295(f8(f911(x104512,f911(a897,a897)),f911(f911(x104512,a897),f911(x104512,a897)),x104512),f18(x104512,a897,a897))),f295(f295(f8(f911(x104512,f911(x104512,a897)),f911(x104512,f911(x104512,f911(a897,a897))),x104512),f295(f8(f911(x104512,a897),f911(x104512,f911(a897,a897)),x104512),f295(f8(a897,f911(a897,a897),x104512),a293))),f295(f295(f7(x104512,f911(x104512,f911(x104512,x104512)),f911(x104512,f911(x104512,a897))),f295(f295(f8(f911(f911(x104512,x104512),f911(x104512,a897)),f911(f911(x104512,f911(x104512,x104512)),f911(x104512,f911(x104512,a897))),x104512),f8(f911(x104512,x104512),f911(x104512,a897),x104512)),f295(f295(f8(f911(x104512,a897),f911(f911(x104512,x104512),f911(x104512,a897)),x104512),f8(x104512,a897,x104512)),a292))),f205(x104512)))))),f295(f295(f7(x104512,f911(x104512,a897),f911(x104512,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x104512,a897),f911(x104512,a897)),x104512),f8(a897,a897,x104512)),f295(f295(f8(a897,f911(a897,a897),x104512),a293),f295(f295(f7(x104512,f911(x104512,a897),a897),f297(x104512)),x104513)))),f295(f295(f7(x104512,f911(x104512,a897),a897),f297(x104512)),x104511))))))),f295(f295(f205(x104512),f13(x104512,f206(x104512),x104513)),f13(x104512,f206(x104512),x104511))) % 192.26/192.35 [10452]~P114(x104522)+E(x104521,f176(f911(x104522,a897)))+E(x104523,f176(f911(x104522,a897)))+~P1(f295(f62(x104522),x104521))+~P1(f295(f62(x104522),x104523))+E(f12(x104522,f205(x104522),f295(f212(x104522),f295(f295(f8(f911(x104522,a897),a897,x104522),f90(x104522)),f295(f295(f8(f911(x104522,f911(x104522,a897)),f911(x104522,a897),x104522),f295(f8(f911(x104522,a897),a897,x104522),f90(x104522))),f295(f295(f7(x104522,f911(x104522,f911(x104522,a897)),f911(x104522,f911(x104522,a897))),f295(f295(f8(f911(x104522,f911(f911(x104522,a897),f911(x104522,a897))),f911(f911(x104522,f911(x104522,a897)),f911(x104522,f911(x104522,a897))),x104522),f18(x104522,f911(x104522,a897),f911(x104522,a897))),f295(f295(f8(f911(x104522,f911(x104522,f911(a897,a897))),f911(x104522,f911(f911(x104522,a897),f911(x104522,a897))),x104522),f295(f8(f911(x104522,f911(a897,a897)),f911(f911(x104522,a897),f911(x104522,a897)),x104522),f18(x104522,a897,a897))),f295(f295(f8(f911(x104522,f911(x104522,a897)),f911(x104522,f911(x104522,f911(a897,a897))),x104522),f295(f8(f911(x104522,a897),f911(x104522,f911(a897,a897)),x104522),f295(f8(a897,f911(a897,a897),x104522),a293))),f295(f295(f7(x104522,f911(x104522,f911(x104522,x104522)),f911(x104522,f911(x104522,a897))),f295(f295(f8(f911(f911(x104522,x104522),f911(x104522,a897)),f911(f911(x104522,f911(x104522,x104522)),f911(x104522,f911(x104522,a897))),x104522),f8(f911(x104522,x104522),f911(x104522,a897),x104522)),f295(f295(f8(f911(x104522,a897),f911(f911(x104522,x104522),f911(x104522,a897)),x104522),f8(x104522,a897,x104522)),a292))),f206(x104522)))))),f295(f295(f7(x104522,f911(x104522,a897),f911(x104522,a897)),f295(f295(f8(f911(a897,a897),f911(f911(x104522,a897),f911(x104522,a897)),x104522),f8(a897,a897,x104522)),f295(f295(f8(a897,f911(a897,a897),x104522),a293),f295(f295(f7(x104522,f911(x104522,a897),a897),f297(x104522)),x104523)))),f295(f295(f7(x104522,f911(x104522,a897),a897),f297(x104522)),x104521))))))),f295(f295(f206(x104522),f12(x104522,f205(x104522),x104523)),f12(x104522,f205(x104522),x104521))) % 192.26/192.35 [7344]~P131(x73443)+E(x73441,x73442)+~E(f295(f295(f218(x73443),x73441),x73444),f295(f295(f218(x73443),x73442),x73444))+~P1(f295(f295(f207(x73443),f2(x73443)),x73442))+~P1(f295(f295(f207(x73443),f2(x73443)),x73441))+~P1(f295(f295(f208(a902),f2(a902)),x73444)) % 192.26/192.35 [7617]~P114(x76172)+E(x76171,f176(f911(x76172,a897)))+~P1(f295(f62(x76172),x76171))+~P1(f295(f295(f297(x76172),x76174),x76171))+P1(f295(f295(f207(x76172),x76173),x76174))+~P1(f295(f295(f207(x76172),x76173),f295(f64(x76172,f205(x76172)),x76171))) % 192.26/192.35 [7618]~P110(x76182)+E(x76181,f176(f911(x76182,a897)))+~P1(f295(f62(x76182),x76181))+~P1(f295(f295(f297(x76182),x76184),x76181))+P1(f295(f295(f207(x76182),x76183),x76184))+~P1(f295(f295(f207(x76182),x76183),f295(f64(x76182,f108(x76182)),x76181))) % 192.26/192.35 [7619]~P114(x76192)+E(x76191,f176(f911(x76192,a897)))+~P1(f295(f62(x76192),x76191))+~P1(f295(f295(f297(x76192),x76194),x76191))+P1(f295(f295(f208(x76192),x76193),x76194))+~P1(f295(f295(f208(x76192),x76193),f295(f64(x76192,f205(x76192)),x76191))) % 192.26/192.35 [7523]E(x75231,f2(a1))+E(f295(f295(f40(a1),x75232),x75231),x75233)+~P1(f295(f295(f207(a1),x75234),f2(a1)))+~E(x75232,f295(f295(f83(a1),f295(f295(f84(a1),x75231),x75233)),x75234))+P1(f295(f295(f208(a1),f2(a1)),x75231))+~P1(f295(f295(f208(a1),x75231),x75234)) % 192.26/192.35 [7539]E(f46(a1,x75392,x75391),x75393)+E(x75391,f2(a1))+~P1(f295(f295(f207(a1),x75393),f2(a1)))+~E(x75392,f295(f295(f83(a1),f295(f295(f84(a1),x75391),x75394)),x75393))+P1(f295(f295(f208(a1),f2(a1)),x75391))+~P1(f295(f295(f208(a1),x75391),x75393)) % 192.26/192.35 [7655]E(x76551,f2(a1))+E(f295(f295(f40(a1),x76552),x76551),x76553)+~E(x76552,f295(f295(f83(a1),f295(f295(f84(a1),x76551),x76553)),x76554))+~P1(f295(f295(f207(a1),f2(a1)),x76554))+~P1(f295(f295(f208(a1),f2(a1)),x76551))+~P1(f295(f295(f208(a1),x76554),x76551)) % 192.26/192.35 [7675]E(f46(a1,x76752,x76751),x76753)+E(x76751,f2(a1))+~E(x76752,f295(f295(f83(a1),f295(f295(f84(a1),x76751),x76754)),x76753))+~P1(f295(f295(f207(a1),f2(a1)),x76753))+~P1(f295(f295(f208(a1),f2(a1)),x76751))+~P1(f295(f295(f208(a1),x76753),x76751)) % 192.26/192.35 [7816]~P114(x78162)+E(x78161,f176(f911(x78162,a897)))+~P1(f295(f62(x78162),x78161))+~P1(f295(f295(f207(x78162),x78164),x78163))+~P1(f295(f295(f297(x78162),x78164),x78161))+P1(f295(f295(f207(x78162),f295(f64(x78162,f205(x78162)),x78161)),x78163)) % 192.26/192.35 [7817]~P114(x78172)+E(x78171,f176(f911(x78172,a897)))+~P1(f295(f62(x78172),x78171))+~P1(f295(f295(f208(x78172),x78174),x78173))+~P1(f295(f295(f297(x78172),x78174),x78171))+P1(f295(f295(f208(x78172),f295(f64(x78172,f205(x78172)),x78171)),x78173)) % 192.26/192.35 [8391]~P1(f295(f295(f207(a1),x83914),f2(a1)))+~E(x83911,f295(f295(f83(a1),f295(f295(f84(a1),x83912),x83913)),x83914))+~P1(f295(f295(f207(a1),f2(a1)),x83914))+~P1(f295(f295(f208(a1),x83914),x83912))+~P1(f295(f295(f208(a1),x83912),x83914))+P1(f295(f50(x83911,x83912),f295(f295(f217(a1,a1),x83913),x83914))) % 192.26/192.35 [7492]~P1(f295(x74924,x74922))+~P1(f295(x74924,x74923))+~P1(f295(f295(f297(x74925),x74923),f236(x74925,x74921)))+~P1(f295(f295(f297(x74925),x74922),f236(x74925,x74921)))+P1(f295(f295(x74921,x74922),x74923))+~P1(f295(f238(x74925,x74921),x74924)) % 192.26/192.35 [8559]~P116(x85591)+P1(f295(f295(f208(f911(x85591,a897)),f269(x85591,x85592,x85593)),f269(x85591,x85594,x85595)))+~P1(f295(f295(f207(x85591),x85594),x85592))+~P1(f295(f295(f207(x85591),x85594),x85595))+~P1(f295(f295(f207(x85591),x85593),x85595))+~P1(f295(f295(f208(x85591),x85593),x85595)) % 192.26/192.35 [8560]~P116(x85601)+P1(f295(f295(f208(f911(x85601,a897)),f269(x85601,x85602,x85603)),f269(x85601,x85604,x85605)))+~P1(f295(f295(f207(x85601),x85603),x85605))+~P1(f295(f295(f207(x85601),x85604),x85605))+~P1(f295(f295(f207(x85601),x85604),x85602))+~P1(f295(f295(f208(x85601),x85604),x85602)) % 192.26/192.35 [9440]P64(x94402,x94403,x94404,x94401)+E(x94401,f176(f911(x94402,a897)))+~P1(f295(f62(x94402),x94404))+~P1(f295(f62(x94402),x94401))+~P1(f295(f295(x94403,f622(x94403,x94401,x94404,x94402)),x94405))+~P1(f295(f295(f297(x94402),x94405),x94401)) % 192.26/192.35 [9441]P64(x94412,x94413,x94414,x94411)+E(x94411,f176(f911(x94412,a897)))+~P1(f295(f62(x94412),x94414))+~P1(f295(f62(x94412),x94411))+~P1(f295(f295(x94413,f623(x94411,x94414,x94413,x94412)),x94415))+~P1(f295(f295(f297(x94412),x94415),x94411)) % 192.26/192.35 [9442]P64(x94422,x94423,x94424,x94421)+E(x94421,f176(f911(x94422,a897)))+~P1(f295(f62(x94422),x94424))+~P1(f295(f62(x94422),x94421))+~P1(f295(f295(x94423,f639(x94421,x94424,x94423,x94422)),x94425))+~P1(f295(f295(f297(x94422),x94425),x94421)) % 192.26/192.35 [9582]~E(x95823,x95825)+~P77(x95821)+~P83(x95821)+~P40(x95823)+E(f295(f295(f6(a1,x95821),x95822),x95823),f295(f295(f6(a1,x95821),x95824),x95825))+P1(f295(f295(f207(a1),f2(a1)),f542(x95822,x95824,x95823,x95825,x95821))) % 192.26/192.35 [9583]~E(x95833,x95835)+~P77(x95831)+~P83(x95831)+~P40(x95833)+E(f295(f295(f9(a1,x95831),x95832),x95833),f295(f295(f9(a1,x95831),x95834),x95835))+P1(f295(f295(f207(a1),f2(a1)),f538(x95832,x95834,x95833,x95835,x95831))) % 192.26/192.35 [9748]~E(x97485,x97483)+~P77(x97481)+~P83(x97481)+~P40(x97485)+~E(f295(x97482,f542(x97484,x97482,x97485,x97483,x97481)),f295(x97484,f542(x97484,x97482,x97485,x97483,x97481)))+E(f295(f295(f6(a1,x97481),x97482),x97483),f295(f295(f6(a1,x97481),x97484),x97485)) % 192.26/192.35 [9749]~E(x97495,x97493)+~P77(x97491)+~P83(x97491)+~P40(x97495)+~E(f295(x97492,f538(x97494,x97492,x97495,x97493,x97491)),f295(x97494,f538(x97494,x97492,x97495,x97493,x97491)))+E(f295(f295(f9(a1,x97491),x97492),x97493),f295(f295(f9(a1,x97491),x97494),x97495)) % 192.26/192.35 [9840]~P87(x98403)+E(f295(x98401,x98402),f2(x98403))+~E(f295(f295(f6(x98404,x98403),x98401),x98405),f2(x98403))+~P1(f295(f62(x98404),x98405))+P1(f295(f295(f297(x98404),f387(x98402,x98401,x98405,x98404,x98403)),x98405))+~P1(f295(f295(f297(x98404),x98402),x98405)) % 192.26/192.35 [9968]~P87(x99683)+E(f295(x99681,x99682),f2(x99683))+~E(f295(f295(f6(x99684,x99683),x99681),x99685),f2(x99683))+~P1(f295(f62(x99684),x99685))+~P1(f295(f295(f297(x99684),x99682),x99685))+~P1(f295(f295(f207(x99683),f2(x99683)),f295(x99681,f387(x99682,x99681,x99685,x99684,x99683)))) % 192.26/192.35 [8476]~P143(x84761)+~P1(f295(f295(f207(x84761),x84763),x84765))+~P1(f295(f295(f207(x84761),x84762),x84764))+~P1(f295(f295(f207(x84761),f2(x84761)),x84763))+~P1(f295(f295(f207(x84761),f2(x84761)),x84764))+P1(f295(f295(f207(x84761),f295(f295(f84(x84761),x84762),x84763)),f295(f295(f84(x84761),x84764),x84765))) % 192.26/192.35 [8477]~P143(x84771)+~P1(f295(f295(f207(x84771),x84773),x84775))+~P1(f295(f295(f207(x84771),x84772),x84774))+~P1(f295(f295(f207(x84771),f2(x84771)),x84773))+~P1(f295(f295(f207(x84771),f2(x84771)),x84772))+P1(f295(f295(f207(x84771),f295(f295(f84(x84771),x84772),x84773)),f295(f295(f84(x84771),x84774),x84775))) % 192.26/192.35 [8478]~P75(x84781)+~P1(f295(f295(f208(x84781),f2(x84781)),x84785))+~P1(f295(f295(f207(x84781),x84785),x84783))+~P1(f295(f295(f207(x84781),x84782),x84784))+~P1(f295(f295(f207(x84781),f2(x84781)),x84782))+P1(f295(f295(f207(x84781),f295(f295(f256(x84781),x84782),x84783)),f295(f295(f256(x84781),x84784),x84785))) % 192.26/192.35 [8479]~P135(x84791)+~P1(f295(f295(f207(x84791),x84793),x84795))+~P1(f295(f295(f207(x84791),f2(x84791)),x84792))+~P1(f295(f295(f208(x84791),x84792),x84794))+~P1(f295(f295(f208(x84791),f2(x84791)),x84793))+P1(f295(f295(f208(x84791),f295(f295(f84(x84791),x84792),x84793)),f295(f295(f84(x84791),x84794),x84795))) % 192.26/192.35 [8480]~P135(x84801)+~P1(f295(f295(f207(x84801),x84802),x84804))+~P1(f295(f295(f207(x84801),f2(x84801)),x84803))+~P1(f295(f295(f208(x84801),x84803),x84805))+~P1(f295(f295(f208(x84801),f2(x84801)),x84802))+P1(f295(f295(f208(x84801),f295(f295(f84(x84801),x84802),x84803)),f295(f295(f84(x84801),x84804),x84805))) % 192.26/192.35 [8481]~P135(x84811)+~P1(f295(f295(f207(x84811),f2(x84811)),x84813))+~P1(f295(f295(f207(x84811),f2(x84811)),x84812))+~P1(f295(f295(f208(x84811),x84813),x84815))+~P1(f295(f295(f208(x84811),x84812),x84814))+P1(f295(f295(f208(x84811),f295(f295(f84(x84811),x84812),x84813)),f295(f295(f84(x84811),x84814),x84815))) % 192.26/192.35 [8482]~P135(x84821)+~P1(f295(f295(f207(x84821),f2(x84821)),x84823))+~P1(f295(f295(f208(x84821),x84823),x84825))+~P1(f295(f295(f208(x84821),x84822),x84824))+~P1(f295(f295(f208(x84821),f2(x84821)),x84824))+P1(f295(f295(f208(x84821),f295(f295(f84(x84821),x84822),x84823)),f295(f295(f84(x84821),x84824),x84825))) % 192.26/192.35 [8483]~P75(x84831)+~P1(f295(f295(f207(x84831),x84835),x84833))+~P1(f295(f295(f207(x84831),f2(x84831)),x84832))+~P1(f295(f295(f208(x84831),x84832),x84834))+~P1(f295(f295(f208(x84831),f2(x84831)),x84835))+P1(f295(f295(f208(x84831),f295(f295(f256(x84831),x84832),x84833)),f295(f295(f256(x84831),x84834),x84835))) % 192.26/192.35 [8484]~P75(x84841)+~P1(f295(f295(f207(x84841),x84842),x84844))+~P1(f295(f295(f208(x84841),x84845),x84843))+~P1(f295(f295(f208(x84841),f2(x84841)),x84845))+~P1(f295(f295(f208(x84841),f2(x84841)),x84842))+P1(f295(f295(f208(x84841),f295(f295(f256(x84841),x84842),x84843)),f295(f295(f256(x84841),x84844),x84845))) % 192.26/192.35 [9886]~P77(x98865)+~P94(x98865)+E(x98861,f176(f911(x98862,a897)))+~P1(f295(f62(x98862),x98861))+P1(f295(f295(f297(x98862),f401(x98863,x98864,x98861,x98862,x98865)),x98861))+P1(f295(f295(f208(x98865),f295(f295(f6(x98862,x98865),x98864),x98861)),f295(f295(f6(x98862,x98865),x98863),x98861))) % 192.26/192.35 [9994]~P77(x99941)+~P92(x99941)+~P1(f295(f62(x99942),x99945))+~P1(f295(f295(f207(x99941),f2(x99941)),f295(x99943,f376(x99943,x99944,x99945,x99942,x99941))))+P1(f295(f295(f207(x99941),f295(f295(f6(x99942,x99941),x99943),x99944)),f295(f295(f6(x99942,x99941),x99943),x99945)))+~P1(f295(f295(f207(f911(x99942,a897)),x99944),x99945)) % 192.26/192.35 [10162]~P77(x101623)+~P94(x101623)+E(x101621,f176(f911(x101622,a897)))+~P1(f295(f62(x101622),x101621))+~P1(f295(f295(f208(x101623),f295(x101624,f401(x101625,x101624,x101621,x101622,x101623))),f295(x101625,f401(x101625,x101624,x101621,x101622,x101623))))+P1(f295(f295(f208(x101623),f295(f295(f6(x101622,x101623),x101624),x101621)),f295(f295(f6(x101622,x101623),x101625),x101621))) % 192.26/192.35 [7198]~P16(x71982,x71985,x71984)+E(x71981,f176(f911(x71982,a897)))+E(x71983,f176(f911(x71982,a897)))+~P1(f295(f62(x71982),x71981))+~P1(f295(f62(x71982),x71983))+E(f295(x71984,f295(f295(f117(f911(x71982,a897)),x71983),x71981)),f295(f295(x71985,f295(x71984,x71983)),f295(x71984,x71981))) % 192.26/192.35 [7783]~P153(x77831,x77834,x77833)+P1(f295(x77831,x77832))+~P1(f295(f295(f208(a1),x77834),f2(a1)))+~P1(f295(f295(f207(a1),x77835),f2(a1)))+~E(x77833,f295(f295(f83(a1),f295(f295(f84(a1),x77834),x77832)),x77835))+~P1(f295(f295(f208(a1),x77834),x77835)) % 192.26/192.35 [7784]~P152(x77841,x77844,x77843)+P1(f295(x77841,x77842))+~P1(f295(f295(f208(a1),x77844),f2(a1)))+~P1(f295(f295(f207(a1),x77842),f2(a1)))+~E(x77843,f295(f295(f83(a1),f295(f295(f84(a1),x77844),x77845)),x77842))+~P1(f295(f295(f208(a1),x77844),x77842)) % 192.26/192.35 [7825]~P153(x78251,x78254,x78253)+P1(f295(x78251,x78252))+~E(x78253,f295(f295(f83(a1),f295(f295(f84(a1),x78254),x78252)),x78255))+~P1(f295(f295(f207(a1),f2(a1)),x78255))+~P1(f295(f295(f208(a1),f2(a1)),x78254))+~P1(f295(f295(f208(a1),x78255),x78254)) % 192.26/192.35 [7826]~P152(x78261,x78264,x78263)+P1(f295(x78261,x78262))+~E(x78263,f295(f295(f83(a1),f295(f295(f84(a1),x78264),x78265)),x78262))+~P1(f295(f295(f207(a1),f2(a1)),x78262))+~P1(f295(f295(f208(a1),f2(a1)),x78264))+~P1(f295(f295(f208(a1),x78262),x78264)) % 192.26/192.35 [8780]P1(f295(f295(x87801,x87802),x87803))+~P1(f295(f295(x87801,f295(f295(f40(a1),x87804),x87805)),f46(a1,x87804,x87805)))+~P1(f295(f295(f208(a1),x87805),f2(a1)))+~P1(f295(f295(f207(a1),x87803),f2(a1)))+~E(x87804,f295(f295(f83(a1),f295(f295(f84(a1),x87805),x87802)),x87803))+~P1(f295(f295(f208(a1),x87805),x87803)) % 192.26/192.35 [8793]P1(f295(f295(x87931,x87932),x87933))+~P1(f295(f295(x87931,f295(f295(f40(a1),x87934),x87935)),f46(a1,x87934,x87935)))+~E(x87934,f295(f295(f83(a1),f295(f295(f84(a1),x87935),x87932)),x87933))+~P1(f295(f295(f207(a1),f2(a1)),x87933))+~P1(f295(f295(f208(a1),f2(a1)),x87935))+~P1(f295(f295(f208(a1),x87933),x87935)) % 192.26/192.35 [9057]E(x90571,x90572)+~P61(x90573,x90575,x90574)+~P1(f295(f295(f297(x90573),x90572),x90575))+~P1(f295(f295(f297(x90573),x90571),x90575))+P1(f295(f295(f297(f910(x90573,x90573)),f295(f295(f217(x90573,x90573),x90571),x90572)),x90574))+P1(f295(f295(f297(f910(x90573,x90573)),f295(f295(f217(x90573,x90573),x90572),x90571)),x90574)) % 192.26/192.35 [9912]~P77(x99125)+~P92(x99125)+~P1(f295(f62(x99121),x99124))+P1(f295(f295(f207(x99125),f295(f295(f6(x99121,x99125),x99122),x99123)),f295(f295(f6(x99121,x99125),x99122),x99124)))+~P1(f295(f295(f207(f911(x99121,a897)),x99123),x99124))+P1(f295(f295(f297(x99121),f376(x99122,x99123,x99124,x99121,x99125)),f295(f295(f23(f911(x99121,a897)),x99124),x99123))) % 192.26/192.35 [10001]E(x100011,f176(f911(x100012,a897)))+~P1(f295(f62(x100012),x100013))+~P1(f295(f62(x100012),x100011))+P1(f295(f295(f297(f910(f911(x100012,a897),f911(x100012,a897))),f295(f295(f217(f911(x100012,a897),f911(x100012,a897)),x100013),x100011)),f287(x100012,x100014)))+~P1(f295(f295(f297(x100012),x100015),x100011))+~P1(f295(f295(f297(f910(x100012,x100012)),f295(f295(f217(x100012,x100012),f731(x100014,x100011,x100013,x100012)),x100015)),x100014)) % 192.26/192.35 [10002]E(x100021,f176(f911(x100022,a897)))+~P1(f295(f62(x100022),x100023))+~P1(f295(f62(x100022),x100021))+P1(f295(f295(f297(f910(f911(x100022,a897),f911(x100022,a897))),f295(f295(f217(f911(x100022,a897),f911(x100022,a897)),x100023),x100021)),f287(x100022,x100024)))+~P1(f295(f295(f297(x100022),x100025),x100021))+~P1(f295(f295(f297(f910(x100022,x100022)),f295(f295(f217(x100022,x100022),f799(x100024,x100021,x100023,x100022)),x100025)),x100024)) % 192.26/192.35 [10170]~P87(x101701)+~E(f295(f295(f6(x101705,x101701),x101702),x101706),x101704)+~P1(f295(f62(x101705),x101706))+P1(f295(f295(f297(x101705),f390(x101703,x101704,x101702,x101706,x101705,x101701)),x101706))+P1(f295(f295(f207(x101701),f295(x101702,x101703)),x101704))+~P1(f295(f295(f297(x101705),x101703),x101706)) % 192.26/192.35 [10224]~P87(x102241)+~E(f295(f295(f6(x102245,x102241),x102242),x102246),x102244)+~P1(f295(f62(x102245),x102246))+~P1(f295(f295(f297(x102245),x102243),x102246))+~P1(f295(f295(f207(x102241),f2(x102241)),f295(x102242,f390(x102243,x102244,x102242,x102246,x102245,x102241))))+P1(f295(f295(f207(x102241),f295(x102242,x102243)),x102244)) % 192.26/192.35 [10403]~E(x104035,x104038)+~E(x104034,x104037)+~P113(x104031)+~P77(x104032)+E(f295(f295(f6(x104031,x104032),x104033),f295(f268(x104031,x104034),x104035)),f295(f295(f6(x104031,x104032),x104036),f295(f268(x104031,x104037),x104038)))+P1(f295(f295(f207(x104031),x104034),f813(x104033,x104036,x104035,x104038,x104034,x104037,x104031,x104032))) % 192.26/192.35 [10418]~E(x104187,x104184)+~E(x104188,x104185)+~P113(x104181)+~P77(x104182)+~E(f295(x104183,f813(x104186,x104183,x104188,x104185,x104187,x104184,x104181,x104182)),f295(x104186,f813(x104186,x104183,x104188,x104185,x104187,x104184,x104181,x104182)))+E(f295(f295(f6(x104181,x104182),x104183),f295(f268(x104181,x104184),x104185)),f295(f295(f6(x104181,x104182),x104186),f295(f268(x104181,x104187),x104188))) % 192.26/192.35 [10420]~E(x104204,x104207)+~E(x104205,x104208)+~P113(x104201)+~P77(x104202)+E(f295(f295(f6(x104201,x104202),x104203),f295(f268(x104201,x104204),x104205)),f295(f295(f6(x104201,x104202),x104206),f295(f268(x104201,x104207),x104208)))+P1(f295(f295(f208(x104201),f813(x104203,x104206,x104205,x104208,x104204,x104207,x104201,x104202)),x104205)) % 192.26/192.35 [10007]~P9(x100075,x100079,x100076)+~P9(x100071,x1000710,x100073)+~P11(x100071,x100075,f911(x100072,a897),x100073,x100076,x100078)+~P1(f295(f295(f297(x100075),x100077),x100079))+~P1(f295(f295(f297(x100071),x100074),x1000710))+E(f295(f295(f44(x100071,f911(x100072,a897)),f295(f252(x100071,x100071,x100073),f295(f295(f275(x100071),x100074),f176(f911(x100071,a897))))),f295(f295(f8(f911(x100075,f911(x100072,a897)),f911(x100072,a897),x100071),f295(f44(x100075,f911(x100072,a897)),f295(f252(x100075,x100075,x100076),f295(f295(f275(x100075),x100077),f176(f911(x100075,a897)))))),x100078)),f295(f295(x100078,x100074),x100077)) % 192.26/192.35 [5759]~P114(x57593)+~P12(x57593,x57592)+~P12(x57593,x57591)+E(x57591,x57592)+~E(f295(f160(x57593),x57591),f295(f160(x57593),x57592))+~P1(f295(f126(x57593),x57592))+~P1(f295(f126(x57593),x57591)) % 192.26/192.35 [5091]~P151(x50912)+~P121(x50912)+~P134(x50912)+~P139(x50912)+~E(x50913,f2(x50912))+E(x50911,f2(a902))+E(f295(f295(f218(x50912),x50913),x50911),f2(x50912)) % 192.26/192.35 [9319]E(x93191,f2(a902))+~E(x93192,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),x93193)),x93191)),f295(f227(a902,a902),x93193)))+P1(f295(f49(x93192,x93191),x93193))+~P1(f295(f295(f207(a902),f295(f227(a902,a902),x93193)),f2(a902)))+~P1(f295(f295(f207(a902),f2(a902)),f295(f227(a902,a902),x93193)))+~P1(f295(f295(f208(a902),x93191),f295(f227(a902,a902),x93193)))+~P1(f295(f295(f208(a902),f295(f227(a902,a902),x93193)),x93191)) % 192.26/192.35 [9328]~E(f295(f216(a902,a902),x93283),f2(a902))+~E(x93281,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),x93283)),x93282)),f295(f227(a902,a902),x93283)))+P1(f295(f49(x93281,x93282),x93283))+~P1(f295(f295(f207(a902),f295(f227(a902,a902),x93283)),f2(a902)))+~P1(f295(f295(f207(a902),f2(a902)),f295(f227(a902,a902),x93283)))+~P1(f295(f295(f208(a902),x93282),f295(f227(a902,a902),x93283)))+~P1(f295(f295(f208(a902),f295(f227(a902,a902),x93283)),x93282)) % 192.26/192.35 [8141]~P81(x81412)+E(x81411,f176(f911(x81412,a897)))+E(x81413,f176(f911(x81412,a897)))+~P1(f295(f62(x81412),x81411))+~P1(f295(f62(x81412),x81413))+~E(f295(f295(f108(f911(x81412,a897)),x81413),x81411),f176(f911(x81412,a897)))+E(f295(f295(f84(x81412),f295(f64(x81412,f84(x81412)),x81413)),f295(f64(x81412,f84(x81412)),x81411)),f295(f64(x81412,f84(x81412)),f295(f295(f117(f911(x81412,a897)),x81413),x81411))) % 192.26/192.35 [7923]E(x79231,f2(a1))+E(f295(f295(f40(a1),x79232),x79231),x79233)+~P1(f295(f295(f207(a1),x79234),f2(a1)))+~E(x79232,f295(f295(f83(a1),f295(f295(f84(a1),x79231),x79233)),x79234))+~P1(f295(f295(f207(a1),f2(a1)),x79234))+~P1(f295(f295(f208(a1),x79234),x79231))+~P1(f295(f295(f208(a1),x79231),x79234)) % 192.26/192.35 [7929]E(f46(a1,x79292,x79291),x79293)+E(x79291,f2(a1))+~P1(f295(f295(f207(a1),x79293),f2(a1)))+~E(x79292,f295(f295(f83(a1),f295(f295(f84(a1),x79291),x79294)),x79293))+~P1(f295(f295(f207(a1),f2(a1)),x79293))+~P1(f295(f295(f208(a1),x79293),x79291))+~P1(f295(f295(f208(a1),x79291),x79293)) % 192.26/192.35 [9754]P43(x97541,x97542,x97543,x97544,x97545)+~E(f295(x97544,f352(x97545,x97544,x97543)),f295(x97544,f363(x97545,x97544,x97543)))+~E(f295(x97544,f295(x97545,f322(x97545,x97544,x97543))),f322(x97545,x97544,x97543))+~P1(f295(f295(x97543,f352(x97545,x97544,x97543)),f352(x97545,x97544,x97543)))+~P1(f295(f295(x97543,f352(x97545,x97544,x97543)),f363(x97545,x97544,x97543)))+~P1(f295(f295(x97543,f363(x97545,x97544,x97543)),f363(x97545,x97544,x97543)))+~P1(f295(f295(x97543,f295(x97545,f341(x97545,x97544,x97543))),f295(x97545,f341(x97545,x97544,x97543)))) % 192.26/192.35 [7833]~P17(x78332,x78335,x78334)+E(x78331,f176(f911(x78332,a897)))+E(x78333,f176(f911(x78332,a897)))+~P1(f295(f62(x78332),x78331))+~P1(f295(f62(x78332),x78333))+~E(f295(f295(f108(f911(x78332,a897)),x78333),x78331),f176(f911(x78332,a897)))+E(f295(x78334,f295(f295(f117(f911(x78332,a897)),x78333),x78331)),f295(f295(x78335,f295(x78334,x78333)),f295(x78334,x78331))) % 192.26/192.35 [10235]E(x102351,f489(x102352,x102353,x102354,x102355))+~E(f478(x102352,x102353,x102354,x102355,x102356),x102356)+~P1(f295(x102353,x102356))+~P1(f295(x102352,x102351))+~P1(f295(f295(f297(x102355),x102356),f236(x102355,x102354)))+~P1(f295(f295(f297(x102355),x102351),f236(x102355,x102354)))+~P1(f295(f295(f235(x102355,x102355,a897,a897,x102354,a292),x102353),x102352)) % 192.26/192.35 [10236]E(x102361,f514(x102362,x102363,x102364,x102365))+~E(f502(x102362,x102363,x102364,x102365,x102366),x102366)+~P1(f295(x102362,x102366))+~P1(f295(x102363,x102361))+~P1(f295(f295(f297(x102365),x102366),f236(x102365,x102364)))+~P1(f295(f295(f297(x102365),x102361),f236(x102365,x102364)))+~P1(f295(f295(f235(x102365,x102365,a897,a897,x102364,a292),x102363),x102362)) % 192.26/192.35 [10241]E(x102411,f489(x102412,x102413,x102414,x102415))+~P1(f295(x102413,x102416))+~P1(f295(x102412,x102411))+~P1(f295(f295(f297(x102415),x102416),f236(x102415,x102414)))+~P1(f295(f295(f297(x102415),x102411),f236(x102415,x102414)))+P1(f295(x102413,f478(x102412,x102413,x102414,x102415,x102416)))+~P1(f295(f295(f235(x102415,x102415,a897,a897,x102414,a292),x102413),x102412)) % 192.26/192.35 [10242]E(x102421,f514(x102422,x102423,x102424,x102425))+~P1(f295(x102422,x102426))+~P1(f295(x102423,x102421))+~P1(f295(f295(f297(x102425),x102426),f236(x102425,x102424)))+~P1(f295(f295(f297(x102425),x102421),f236(x102425,x102424)))+P1(f295(x102422,f502(x102422,x102423,x102424,x102425,x102426)))+~P1(f295(f295(f235(x102425,x102425,a897,a897,x102424,a292),x102423),x102422)) % 192.26/192.35 [10250]E(x102501,f489(x102502,x102503,x102504,x102505))+~P1(f295(x102503,x102506))+~P1(f295(x102502,x102501))+~P1(f295(f295(f297(x102505),x102506),f236(x102505,x102504)))+~P1(f295(f295(f297(x102505),x102501),f236(x102505,x102504)))+P1(f295(f295(f297(x102505),f478(x102502,x102503,x102504,x102505,x102506)),f236(x102505,x102504)))+~P1(f295(f295(f235(x102505,x102505,a897,a897,x102504,a292),x102503),x102502)) % 192.26/192.35 [10251]E(x102511,f514(x102512,x102513,x102514,x102515))+~P1(f295(x102512,x102516))+~P1(f295(x102513,x102511))+~P1(f295(f295(f297(x102515),x102516),f236(x102515,x102514)))+~P1(f295(f295(f297(x102515),x102511),f236(x102515,x102514)))+P1(f295(f295(f297(x102515),f502(x102512,x102513,x102514,x102515,x102516)),f236(x102515,x102514)))+~P1(f295(f295(f235(x102515,x102515,a897,a897,x102514,a292),x102513),x102512)) % 192.26/192.35 [9554]~P24(x95543,x95541,x95545,x95544)+~P24(x95541,x95543,x95546,x95542)+E(f295(f39(x95541),x95542),f295(f39(x95543),x95544))+~P1(f295(f62(x95543),x95544))+~P1(f295(f62(x95541),x95542))+~P1(f295(f295(f207(f911(x95543,a897)),f295(f276(x95541,x95543,x95546),x95542)),x95544))+~P1(f295(f295(f207(f911(x95541,a897)),f295(f276(x95543,x95541,x95545),x95544)),x95542)) % 192.26/192.35 [9505]~P1(f295(f295(f208(a1),f295(f295(f83(a1),f295(f295(f84(a1),x95055),x95051)),x95056)),f2(a1)))+~E(f295(f295(f83(a1),f295(f295(f84(a1),x95053),x95052)),x95054),f295(f295(f83(a1),f295(f295(f84(a1),x95055),x95051)),x95056))+~P1(f295(f295(f207(a1),f2(a1)),x95056))+~P1(f295(f295(f208(a1),f2(a1)),x95055))+~P1(f295(f295(f207(a1),x95055),x95053))+~P1(f295(f295(f208(a1),x95054),x95053))+P1(f295(f295(f207(a1),x95051),x95052)) % 192.26/192.35 [9272]~E(f295(f295(f83(a1),f295(f295(f84(a1),x92723),x92721)),x92724),f295(f295(f83(a1),f295(f295(f84(a1),x92725),x92722)),x92726))+~P1(f295(f295(f207(a1),f2(a1)),x92724))+~P1(f295(f295(f208(a1),f2(a1)),x92725))+~P1(f295(f295(f207(a1),x92725),x92723))+~P1(f295(f295(f208(a1),x92726),x92725))+P1(f295(f295(f207(a1),x92721),x92722))+~P1(f295(f295(f207(a1),f2(a1)),f295(f295(f83(a1),f295(f295(f84(a1),x92725),x92722)),x92726))) % 192.26/192.35 [9445]~P137(x94451)+~E(f295(f295(f83(x94451),x94452),x94454),f81(x94451))+~P1(f295(f295(f207(x94451),x94455),x94456))+~P1(f295(f295(f207(x94451),x94453),x94456))+~P1(f295(f295(f207(x94451),f2(x94451)),x94454))+~P1(f295(f295(f207(x94451),f2(x94451)),x94452))+P1(f295(f295(f207(x94451),f295(f295(f83(x94451),f295(f295(f84(x94451),x94452),x94453)),f295(f295(f84(x94451),x94454),x94455))),x94456)) % 192.26/192.35 [9446]~P138(x94461)+~E(f295(f295(f83(x94461),x94462),x94464),f81(x94461))+~P1(f295(f295(f207(x94461),f2(x94461)),x94464))+~P1(f295(f295(f207(x94461),f2(x94461)),x94462))+~P1(f295(f295(f208(x94461),x94465),x94466))+~P1(f295(f295(f208(x94461),x94463),x94466))+P1(f295(f295(f208(x94461),f295(f295(f83(x94461),f295(f295(f84(x94461),x94462),x94463)),f295(f295(f84(x94461),x94464),x94465))),x94466)) % 192.26/192.35 [10301]~P9(x103017,x103016,x103015)+E(x103011,x103012)+~P10(x103017,f911(x103014,a897),x103015,x103013)+E(f295(x103013,f593(x103011,x103012,x103013,x103014,x103015,x103016,x103017)),f295(x103013,f594(x103011,x103012,x103013,x103014,x103015,x103016,x103017)))+~E(f295(f295(f44(x103017,f911(x103014,a897)),x103011),x103013),f295(f295(f44(x103017,f911(x103014,a897)),x103012),x103013))+~P1(f295(f295(f297(f911(x103017,a897)),x103012),f295(f295(f61(x103017),x103016),x103015)))+~P1(f295(f295(f297(f911(x103017,a897)),x103011),f295(f295(f61(x103017),x103016),x103015))) % 192.26/192.35 [10359]~P9(x103593,x103597,x103596)+E(x103591,x103592)+~P10(x103593,f911(x103595,a897),x103596,x103594)+~E(f295(f295(f44(x103593,f911(x103595,a897)),x103591),x103594),f295(f295(f44(x103593,f911(x103595,a897)),x103592),x103594))+P1(f295(f295(f297(x103593),f594(x103591,x103592,x103594,x103595,x103596,x103597,x103593)),x103597))+~P1(f295(f295(f297(f911(x103593,a897)),x103592),f295(f295(f61(x103593),x103597),x103596)))+~P1(f295(f295(f297(f911(x103593,a897)),x103591),f295(f295(f61(x103593),x103597),x103596))) % 192.26/192.35 [10360]~P9(x103603,x103607,x103606)+E(x103601,x103602)+~P10(x103603,f911(x103605,a897),x103606,x103604)+~E(f295(f295(f44(x103603,f911(x103605,a897)),x103601),x103604),f295(f295(f44(x103603,f911(x103605,a897)),x103602),x103604))+P1(f295(f295(f297(x103603),f593(x103601,x103602,x103604,x103605,x103606,x103607,x103603)),x103607))+~P1(f295(f295(f297(f911(x103603,a897)),x103602),f295(f295(f61(x103603),x103607),x103606)))+~P1(f295(f295(f297(f911(x103603,a897)),x103601),f295(f295(f61(x103603),x103607),x103606))) % 192.26/192.35 [10434]E(x104341,x104342)+~P9(x104343,x104346,x104347)+~P10(x104343,f911(x104344,a897),x104347,x104345)+~E(f295(f295(f44(x104343,f911(x104344,a897)),x104341),x104345),f295(f295(f44(x104343,f911(x104344,a897)),x104342),x104345))+~P1(f295(f295(f297(f910(x104343,x104343)),f295(f295(f217(x104343,x104343),f594(x104341,x104342,x104345,x104344,x104347,x104346,x104343)),f593(x104341,x104342,x104345,x104344,x104347,x104346,x104343))),x104347))+~P1(f295(f295(f297(f911(x104343,a897)),x104342),f295(f295(f61(x104343),x104346),x104347)))+~P1(f295(f295(f297(f911(x104343,a897)),x104341),f295(f295(f61(x104343),x104346),x104347))) % 192.26/192.35 [9271]~P9(x92711,x92717,x92714)+~E(x92715,x92716)+~P1(f295(f295(f297(x92711),x92713),x92716))+~P1(f295(f295(f297(x92711),x92712),x92715))+~P1(f295(f295(f297(f911(x92711,a897)),x92716),f295(f295(f61(x92711),x92717),x92714)))+~P1(f295(f295(f297(f911(x92711,a897)),x92715),f295(f295(f61(x92711),x92717),x92714)))+P1(f295(f295(f297(f910(x92711,x92711)),f295(f295(f217(x92711,x92711),x92712),x92713)),x92714)) % 192.26/192.35 [9398]E(x93981,x93982)+~P9(x93983,x93984,x93985)+~P1(f295(f295(f297(x93983),x93986),x93982))+~P1(f295(f295(f297(x93983),x93987),x93981))+~P1(f295(f295(f297(f911(x93983,a897)),x93982),f295(f295(f61(x93983),x93984),x93985)))+~P1(f295(f295(f297(f911(x93983,a897)),x93981),f295(f295(f61(x93983),x93984),x93985)))+~P1(f295(f295(f297(f910(x93983,x93983)),f295(f295(f217(x93983,x93983),x93987),x93986)),x93985)) % 192.26/192.35 [10460]~P9(x104609,x104608,x104607)+~P9(x104601,x1046011,x1046010)+~P11(x104601,x104609,f911(x104606,a897),x1046010,x104607,x104605)+P1(f295(f295(f297(x104601),f586(x104602,x104603,x104604,x104605,x104606,x104607,x104608,x104609,x1046010,x1046011,x104601)),x1046011))+~P1(f295(f295(f297(f911(x104609,a897)),x104603),f295(f295(f61(x104609),x104608),x104607)))+~P1(f295(f295(f297(f911(x104601,a897)),x104604),f295(f295(f61(x104601),x1046011),x1046010)))+P1(f295(f295(f297(f911(x104606,a897)),f295(f295(f44(x104601,f911(x104606,a897)),x104604),f295(f295(f8(f911(x104609,f911(x104606,a897)),f911(x104606,a897),x104601),f295(f44(x104609,f911(x104606,a897)),x104603)),x104605))),x104602)) % 192.26/192.35 [10461]~P9(x1046111,x1046110,x104619)+~P9(x104611,x104618,x104617)+~P11(x1046111,x104611,f911(x104616,a897),x104619,x104617,x104615)+P1(f295(f295(f297(x104611),f587(x104612,x104613,x104614,x104615,x104616,x104617,x104618,x104611,x104619,x1046110,x1046111)),x104618))+~P1(f295(f295(f297(f911(x1046111,a897)),x104614),f295(f295(f61(x1046111),x1046110),x104619)))+~P1(f295(f295(f297(f911(x104611,a897)),x104613),f295(f295(f61(x104611),x104618),x104617)))+P1(f295(f295(f297(f911(x104616,a897)),f295(f295(f44(x1046111,f911(x104616,a897)),x104614),f295(f295(f8(f911(x104611,f911(x104616,a897)),f911(x104616,a897),x1046111),f295(f44(x104611,f911(x104616,a897)),x104613)),x104615))),x104612)) % 192.26/192.35 [10462]~P9(x104622,x104628,x104629)+~P9(x104624,x1046210,x1046211)+~P11(x104622,x104624,f911(x104621,a897),x104629,x1046211,x104626)+~P1(f295(f295(f297(f911(x104622,a897)),x104623),f295(f295(f61(x104622),x104628),x104629)))+~P1(f295(f295(f297(f911(x104624,a897)),x104625),f295(f295(f61(x104624),x1046210),x1046211)))+~P1(f295(f295(f297(f911(x104621,a897)),f295(f295(x104626,f586(x104627,x104625,x104623,x104626,x104621,x1046211,x1046210,x104624,x104629,x104628,x104622)),f587(x104627,x104625,x104623,x104626,x104621,x1046211,x1046210,x104624,x104629,x104628,x104622))),x104627))+P1(f295(f295(f297(f911(x104621,a897)),f295(f295(f44(x104622,f911(x104621,a897)),x104623),f295(f295(f8(f911(x104624,f911(x104621,a897)),f911(x104621,a897),x104622),f295(f44(x104624,f911(x104621,a897)),x104625)),x104626))),x104627)) % 192.26/192.35 [9304]E(x93041,x93042)+~P114(x93044)+~P24(x93043,x93044,x93045,f295(f295(f117(f911(x93043,a897)),f295(f160(x93043),x93041)),f295(f160(x93043),x93042)))+~E(f295(f160(x93043),x93041),f295(f160(x93043),x93042))+~P12(x93044,f295(f295(f143(x93043,x93044),x93045),x93042))+~P12(x93044,f295(f295(f143(x93043,x93044),x93045),x93041))+~P1(f295(f126(x93044),f295(f295(f143(x93043,x93044),x93045),x93042)))+~P1(f295(f126(x93044),f295(f295(f143(x93043,x93044),x93045),x93041))) % 192.26/192.35 %EqnAxiom % 192.26/192.35 [1]E(x11,x11) % 192.26/192.35 [2]E(x22,x21)+~E(x21,x22) % 192.26/192.35 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 192.26/192.35 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 192.26/192.35 [5]~E(x51,x52)+E(f107(x51),f107(x52)) % 192.26/192.35 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 192.26/192.35 [7]~E(x71,x72)+E(f31(x71),f31(x72)) % 192.26/192.35 [8]~E(x81,x82)+E(f295(x81,x83),f295(x82,x83)) % 192.26/192.35 [9]~E(x91,x92)+E(f295(x93,x91),f295(x93,x92)) % 192.26/192.35 [10]~E(x101,x102)+E(f87(x101),f87(x102)) % 192.26/192.35 [11]~E(x111,x112)+E(f910(x111,x113),f910(x112,x113)) % 192.26/192.35 [12]~E(x121,x122)+E(f910(x123,x121),f910(x123,x122)) % 192.26/192.35 [13]~E(x131,x132)+E(f911(x131,x133),f911(x132,x133)) % 192.26/192.35 [14]~E(x141,x142)+E(f911(x143,x141),f911(x143,x142)) % 192.26/192.35 [15]~E(x151,x152)+E(f217(x151,x153),f217(x152,x153)) % 192.26/192.35 [16]~E(x161,x162)+E(f217(x163,x161),f217(x163,x162)) % 192.26/192.35 [17]~E(x171,x172)+E(f176(x171),f176(x172)) % 192.26/192.35 [18]~E(x181,x182)+E(f587(x181,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812),f587(x182,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812)) % 192.26/192.35 [19]~E(x191,x192)+E(f587(x193,x191,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912),f587(x193,x192,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912)) % 192.26/192.35 [20]~E(x201,x202)+E(f587(x203,x204,x201,x205,x206,x207,x208,x209,x2010,x2011,x2012),f587(x203,x204,x202,x205,x206,x207,x208,x209,x2010,x2011,x2012)) % 192.26/192.35 [21]~E(x211,x212)+E(f587(x213,x214,x215,x211,x216,x217,x218,x219,x2110,x2111,x2112),f587(x213,x214,x215,x212,x216,x217,x218,x219,x2110,x2111,x2112)) % 192.26/192.35 [22]~E(x221,x222)+E(f587(x223,x224,x225,x226,x221,x227,x228,x229,x2210,x2211,x2212),f587(x223,x224,x225,x226,x222,x227,x228,x229,x2210,x2211,x2212)) % 192.26/192.35 [23]~E(x231,x232)+E(f587(x233,x234,x235,x236,x237,x231,x238,x239,x2310,x2311,x2312),f587(x233,x234,x235,x236,x237,x232,x238,x239,x2310,x2311,x2312)) % 192.26/192.35 [24]~E(x241,x242)+E(f587(x243,x244,x245,x246,x247,x248,x241,x249,x2410,x2411,x2412),f587(x243,x244,x245,x246,x247,x248,x242,x249,x2410,x2411,x2412)) % 192.26/192.35 [25]~E(x251,x252)+E(f587(x253,x254,x255,x256,x257,x258,x259,x251,x2510,x2511,x2512),f587(x253,x254,x255,x256,x257,x258,x259,x252,x2510,x2511,x2512)) % 192.26/192.35 [26]~E(x261,x262)+E(f587(x263,x264,x265,x266,x267,x268,x269,x2610,x261,x2611,x2612),f587(x263,x264,x265,x266,x267,x268,x269,x2610,x262,x2611,x2612)) % 192.26/192.35 [27]~E(x271,x272)+E(f587(x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x271,x2712),f587(x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x272,x2712)) % 192.26/192.35 [28]~E(x281,x282)+E(f587(x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812,x281),f587(x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812,x282)) % 192.26/192.35 [29]~E(x291,x292)+E(f108(x291),f108(x292)) % 192.26/192.35 [30]~E(x301,x302)+E(f205(x301),f205(x302)) % 192.26/192.35 [31]~E(x311,x312)+E(f117(x311),f117(x312)) % 192.26/192.35 [32]~E(x321,x322)+E(f206(x321),f206(x322)) % 192.26/192.35 [33]~E(x331,x332)+E(f109(x331),f109(x332)) % 192.26/192.35 [34]~E(x341,x342)+E(f36(x341),f36(x342)) % 192.26/192.35 [35]~E(x351,x352)+E(f297(x351),f297(x352)) % 192.26/192.35 [36]~E(x361,x362)+E(f81(x361),f81(x362)) % 192.26/192.35 [37]~E(x371,x372)+E(f586(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f586(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 192.26/192.35 [38]~E(x381,x382)+E(f586(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f586(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 192.26/192.35 [39]~E(x391,x392)+E(f586(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f586(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 192.26/192.35 [40]~E(x401,x402)+E(f586(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f586(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012)) % 192.26/192.35 [41]~E(x411,x412)+E(f586(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f586(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112)) % 192.26/192.35 [42]~E(x421,x422)+E(f586(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f586(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212)) % 192.26/192.35 [43]~E(x431,x432)+E(f586(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f586(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312)) % 192.26/192.35 [44]~E(x441,x442)+E(f586(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f586(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412)) % 192.26/192.35 [45]~E(x451,x452)+E(f586(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f586(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512)) % 192.26/192.35 [46]~E(x461,x462)+E(f586(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f586(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612)) % 192.26/192.35 [47]~E(x471,x472)+E(f586(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f586(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472)) % 192.26/192.35 [48]~E(x481,x482)+E(f4(x481),f4(x482)) % 192.26/192.35 [49]~E(x491,x492)+E(f903(x491),f903(x492)) % 192.26/192.35 [50]~E(x501,x502)+E(f83(x501),f83(x502)) % 192.26/192.35 [51]~E(x511,x512)+E(f118(x511),f118(x512)) % 192.26/192.35 [52]~E(x521,x522)+E(f177(x521),f177(x522)) % 192.26/192.35 [53]~E(x531,x532)+E(f901(x531),f901(x532)) % 192.26/192.35 [54]~E(x541,x542)+E(f907(x541),f907(x542)) % 192.26/192.35 [55]~E(x551,x552)+E(f153(x551),f153(x552)) % 192.26/192.35 [56]~E(x561,x562)+E(f904(x561),f904(x562)) % 192.26/192.35 [57]~E(x571,x572)+E(f26(x571),f26(x572)) % 192.26/192.35 [58]~E(x581,x582)+E(f273(x581,x583),f273(x582,x583)) % 192.26/192.35 [59]~E(x591,x592)+E(f273(x593,x591),f273(x593,x592)) % 192.26/192.35 [60]~E(x601,x602)+E(f8(x601,x603,x604),f8(x602,x603,x604)) % 192.26/192.35 [61]~E(x611,x612)+E(f8(x613,x611,x614),f8(x613,x612,x614)) % 192.26/192.35 [62]~E(x621,x622)+E(f8(x623,x624,x621),f8(x623,x624,x622)) % 192.26/192.35 [63]~E(x631,x632)+E(f82(x631),f82(x632)) % 192.26/192.35 [64]~E(x641,x642)+E(f110(x641),f110(x642)) % 192.26/192.35 [65]~E(x651,x652)+E(f46(x651,x653,x654),f46(x652,x653,x654)) % 192.26/192.35 [66]~E(x661,x662)+E(f46(x663,x661,x664),f46(x663,x662,x664)) % 192.26/192.35 [67]~E(x671,x672)+E(f46(x673,x674,x671),f46(x673,x674,x672)) % 192.26/192.35 [68]~E(x681,x682)+E(f40(x681),f40(x682)) % 192.26/192.35 [69]~E(x691,x692)+E(f137(x691,x693,x694),f137(x692,x693,x694)) % 192.26/192.35 [70]~E(x701,x702)+E(f137(x703,x701,x704),f137(x703,x702,x704)) % 192.26/192.35 [71]~E(x711,x712)+E(f137(x713,x714,x711),f137(x713,x714,x712)) % 192.26/192.35 [72]~E(x721,x722)+E(f207(x721),f207(x722)) % 192.26/192.35 [73]~E(x731,x732)+E(f208(x731),f208(x732)) % 192.26/192.35 [74]~E(x741,x742)+E(f140(x741),f140(x742)) % 192.26/192.35 [75]~E(x751,x752)+E(f61(x751),f61(x752)) % 192.26/192.35 [76]~E(x761,x762)+E(f363(x761,x763,x764),f363(x762,x763,x764)) % 192.26/192.35 [77]~E(x771,x772)+E(f363(x773,x771,x774),f363(x773,x772,x774)) % 192.26/192.35 [78]~E(x781,x782)+E(f363(x783,x784,x781),f363(x783,x784,x782)) % 192.26/192.35 [79]~E(x791,x792)+E(f18(x791,x793,x794),f18(x792,x793,x794)) % 192.26/192.35 [80]~E(x801,x802)+E(f18(x803,x801,x804),f18(x803,x802,x804)) % 192.26/192.35 [81]~E(x811,x812)+E(f18(x813,x814,x811),f18(x813,x814,x812)) % 192.26/192.35 [82]~E(x821,x822)+E(f35(x821,x823,x824,x825,x826,x827,x828,x829,x8210,x8211),f35(x822,x823,x824,x825,x826,x827,x828,x829,x8210,x8211)) % 192.26/192.35 [83]~E(x831,x832)+E(f35(x833,x831,x834,x835,x836,x837,x838,x839,x8310,x8311),f35(x833,x832,x834,x835,x836,x837,x838,x839,x8310,x8311)) % 192.26/192.35 [84]~E(x841,x842)+E(f35(x843,x844,x841,x845,x846,x847,x848,x849,x8410,x8411),f35(x843,x844,x842,x845,x846,x847,x848,x849,x8410,x8411)) % 192.26/192.35 [85]~E(x851,x852)+E(f35(x853,x854,x855,x851,x856,x857,x858,x859,x8510,x8511),f35(x853,x854,x855,x852,x856,x857,x858,x859,x8510,x8511)) % 192.26/192.35 [86]~E(x861,x862)+E(f35(x863,x864,x865,x866,x861,x867,x868,x869,x8610,x8611),f35(x863,x864,x865,x866,x862,x867,x868,x869,x8610,x8611)) % 192.26/192.35 [87]~E(x871,x872)+E(f35(x873,x874,x875,x876,x877,x871,x878,x879,x8710,x8711),f35(x873,x874,x875,x876,x877,x872,x878,x879,x8710,x8711)) % 192.26/192.35 [88]~E(x881,x882)+E(f35(x883,x884,x885,x886,x887,x888,x881,x889,x8810,x8811),f35(x883,x884,x885,x886,x887,x888,x882,x889,x8810,x8811)) % 192.26/192.35 [89]~E(x891,x892)+E(f35(x893,x894,x895,x896,x897,x898,x899,x891,x8910,x8911),f35(x893,x894,x895,x896,x897,x898,x899,x892,x8910,x8911)) % 192.26/192.35 [90]~E(x901,x902)+E(f35(x903,x904,x905,x906,x907,x908,x909,x9010,x901,x9011),f35(x903,x904,x905,x906,x907,x908,x909,x9010,x902,x9011)) % 192.26/192.35 [91]~E(x911,x912)+E(f35(x913,x914,x915,x916,x917,x918,x919,x9110,x9111,x911),f35(x913,x914,x915,x916,x917,x918,x919,x9110,x9111,x912)) % 192.26/192.35 [92]~E(x921,x922)+E(f5(x921),f5(x922)) % 192.26/192.35 [93]~E(x931,x932)+E(f62(x931),f62(x932)) % 192.26/192.35 [94]~E(x941,x942)+E(f218(x941),f218(x942)) % 192.26/192.35 [95]~E(x951,x952)+E(f304(x951,x953,x954,x955),f304(x952,x953,x954,x955)) % 192.26/192.35 [96]~E(x961,x962)+E(f304(x963,x961,x964,x965),f304(x963,x962,x964,x965)) % 192.26/192.35 [97]~E(x971,x972)+E(f304(x973,x974,x971,x975),f304(x973,x974,x972,x975)) % 192.26/192.35 [98]~E(x981,x982)+E(f304(x983,x984,x985,x981),f304(x983,x984,x985,x982)) % 192.26/192.35 [99]~E(x991,x992)+E(f695(x991,x993,x994,x995),f695(x992,x993,x994,x995)) % 192.26/192.35 [100]~E(x1001,x1002)+E(f695(x1003,x1001,x1004,x1005),f695(x1003,x1002,x1004,x1005)) % 192.26/192.35 [101]~E(x1011,x1012)+E(f695(x1013,x1014,x1011,x1015),f695(x1013,x1014,x1012,x1015)) % 192.26/192.35 [102]~E(x1021,x1022)+E(f695(x1023,x1024,x1025,x1021),f695(x1023,x1024,x1025,x1022)) % 192.26/192.35 [103]~E(x1031,x1032)+E(f274(x1031),f274(x1032)) % 192.26/192.35 [104]~E(x1041,x1042)+E(f39(x1041),f39(x1042)) % 192.26/192.35 [105]~E(x1051,x1052)+E(f146(x1051,x1053),f146(x1052,x1053)) % 192.26/192.35 [106]~E(x1061,x1062)+E(f146(x1063,x1061),f146(x1063,x1062)) % 192.26/192.35 [107]~E(x1071,x1072)+E(f275(x1071),f275(x1072)) % 192.26/192.35 [108]~E(x1081,x1082)+E(f43(x1081,x1083),f43(x1082,x1083)) % 192.26/192.35 [109]~E(x1091,x1092)+E(f43(x1093,x1091),f43(x1093,x1092)) % 192.26/192.35 [110]~E(x1101,x1102)+E(f28(x1101,x1103,x1104),f28(x1102,x1103,x1104)) % 192.26/192.35 [111]~E(x1111,x1112)+E(f28(x1113,x1111,x1114),f28(x1113,x1112,x1114)) % 192.26/192.35 [112]~E(x1121,x1122)+E(f28(x1123,x1124,x1121),f28(x1123,x1124,x1122)) % 192.26/192.35 [113]~E(x1131,x1132)+E(f7(x1131,x1133,x1134),f7(x1132,x1133,x1134)) % 192.26/192.35 [114]~E(x1141,x1142)+E(f7(x1143,x1141,x1144),f7(x1143,x1142,x1144)) % 192.26/192.35 [115]~E(x1151,x1152)+E(f7(x1153,x1154,x1151),f7(x1153,x1154,x1152)) % 192.26/192.35 [116]~E(x1161,x1162)+E(f12(x1161,x1163,x1164),f12(x1162,x1163,x1164)) % 192.26/192.35 [117]~E(x1171,x1172)+E(f12(x1173,x1171,x1174),f12(x1173,x1172,x1174)) % 192.26/192.35 [118]~E(x1181,x1182)+E(f12(x1183,x1184,x1181),f12(x1183,x1184,x1182)) % 192.26/192.35 [119]~E(x1191,x1192)+E(f84(x1191),f84(x1192)) % 192.26/192.35 [120]~E(x1201,x1202)+E(f418(x1201,x1203,x1204),f418(x1202,x1203,x1204)) % 192.26/192.35 [121]~E(x1211,x1212)+E(f418(x1213,x1211,x1214),f418(x1213,x1212,x1214)) % 192.26/192.35 [122]~E(x1221,x1222)+E(f418(x1223,x1224,x1221),f418(x1223,x1224,x1222)) % 192.26/192.35 [123]~E(x1231,x1232)+E(f250(x1231),f250(x1232)) % 192.26/192.35 [124]~E(x1241,x1242)+E(f122(x1241),f122(x1242)) % 192.26/192.35 [125]~E(x1251,x1252)+E(f852(x1251,x1253,x1254,x1255),f852(x1252,x1253,x1254,x1255)) % 192.26/192.35 [126]~E(x1261,x1262)+E(f852(x1263,x1261,x1264,x1265),f852(x1263,x1262,x1264,x1265)) % 192.26/192.35 [127]~E(x1271,x1272)+E(f852(x1273,x1274,x1271,x1275),f852(x1273,x1274,x1272,x1275)) % 192.26/192.35 [128]~E(x1281,x1282)+E(f852(x1283,x1284,x1285,x1281),f852(x1283,x1284,x1285,x1282)) % 192.26/192.35 [129]~E(x1291,x1292)+E(f453(x1291,x1293,x1294),f453(x1292,x1293,x1294)) % 192.26/192.35 [130]~E(x1301,x1302)+E(f453(x1303,x1301,x1304),f453(x1303,x1302,x1304)) % 192.26/192.35 [131]~E(x1311,x1312)+E(f453(x1313,x1314,x1311),f453(x1313,x1314,x1312)) % 192.26/192.35 [132]~E(x1321,x1322)+E(f44(x1321,x1323),f44(x1322,x1323)) % 192.26/192.35 [133]~E(x1331,x1332)+E(f44(x1333,x1331),f44(x1333,x1332)) % 192.26/192.35 [134]~E(x1341,x1342)+E(f41(x1341,x1343),f41(x1342,x1343)) % 192.26/192.35 [135]~E(x1351,x1352)+E(f41(x1353,x1351),f41(x1353,x1352)) % 192.26/192.35 [136]~E(x1361,x1362)+E(f80(x1361,x1363,x1364,x1365),f80(x1362,x1363,x1364,x1365)) % 192.26/192.35 [137]~E(x1371,x1372)+E(f80(x1373,x1371,x1374,x1375),f80(x1373,x1372,x1374,x1375)) % 192.26/192.35 [138]~E(x1381,x1382)+E(f80(x1383,x1384,x1381,x1385),f80(x1383,x1384,x1382,x1385)) % 192.26/192.35 [139]~E(x1391,x1392)+E(f80(x1393,x1394,x1395,x1391),f80(x1393,x1394,x1395,x1392)) % 192.26/192.35 [140]~E(x1401,x1402)+E(f120(x1401),f120(x1402)) % 192.26/192.35 [141]~E(x1411,x1412)+E(f268(x1411,x1413),f268(x1412,x1413)) % 192.26/192.35 [142]~E(x1421,x1422)+E(f268(x1423,x1421),f268(x1423,x1422)) % 192.26/192.35 [143]~E(x1431,x1432)+E(f149(x1431,x1433),f149(x1432,x1433)) % 192.26/192.35 [144]~E(x1441,x1442)+E(f149(x1443,x1441),f149(x1443,x1442)) % 192.26/192.35 [145]~E(x1451,x1452)+E(f10(x1451,x1453),f10(x1452,x1453)) % 192.26/192.35 [146]~E(x1461,x1462)+E(f10(x1463,x1461),f10(x1463,x1462)) % 192.26/192.35 [147]~E(x1471,x1472)+E(f229(x1471,x1473,x1474,x1475,x1476,x1477),f229(x1472,x1473,x1474,x1475,x1476,x1477)) % 192.26/192.35 [148]~E(x1481,x1482)+E(f229(x1483,x1481,x1484,x1485,x1486,x1487),f229(x1483,x1482,x1484,x1485,x1486,x1487)) % 192.26/192.35 [149]~E(x1491,x1492)+E(f229(x1493,x1494,x1491,x1495,x1496,x1497),f229(x1493,x1494,x1492,x1495,x1496,x1497)) % 192.26/192.35 [150]~E(x1501,x1502)+E(f229(x1503,x1504,x1505,x1501,x1506,x1507),f229(x1503,x1504,x1505,x1502,x1506,x1507)) % 192.26/192.35 [151]~E(x1511,x1512)+E(f229(x1513,x1514,x1515,x1516,x1511,x1517),f229(x1513,x1514,x1515,x1516,x1512,x1517)) % 192.26/192.35 [152]~E(x1521,x1522)+E(f229(x1523,x1524,x1525,x1526,x1527,x1521),f229(x1523,x1524,x1525,x1526,x1527,x1522)) % 192.26/192.35 [153]~E(x1531,x1532)+E(f382(x1531,x1533,x1534),f382(x1532,x1533,x1534)) % 192.26/192.35 [154]~E(x1541,x1542)+E(f382(x1543,x1541,x1544),f382(x1543,x1542,x1544)) % 192.26/192.35 [155]~E(x1551,x1552)+E(f382(x1553,x1554,x1551),f382(x1553,x1554,x1552)) % 192.26/192.35 [156]~E(x1561,x1562)+E(f276(x1561,x1563,x1564),f276(x1562,x1563,x1564)) % 192.26/192.35 [157]~E(x1571,x1572)+E(f276(x1573,x1571,x1574),f276(x1573,x1572,x1574)) % 192.26/192.35 [158]~E(x1581,x1582)+E(f276(x1583,x1584,x1581),f276(x1583,x1584,x1582)) % 192.26/192.35 [159]~E(x1591,x1592)+E(f529(x1591,x1593,x1594),f529(x1592,x1593,x1594)) % 192.26/192.35 [160]~E(x1601,x1602)+E(f529(x1603,x1601,x1604),f529(x1603,x1602,x1604)) % 192.26/192.35 [161]~E(x1611,x1612)+E(f529(x1613,x1614,x1611),f529(x1613,x1614,x1612)) % 192.26/192.35 [162]~E(x1621,x1622)+E(f160(x1621),f160(x1622)) % 192.26/192.35 [163]~E(x1631,x1632)+E(f256(x1631),f256(x1632)) % 192.26/192.35 [164]~E(x1641,x1642)+E(f131(x1641,x1643,x1644,x1645),f131(x1642,x1643,x1644,x1645)) % 192.26/192.35 [165]~E(x1651,x1652)+E(f131(x1653,x1651,x1654,x1655),f131(x1653,x1652,x1654,x1655)) % 192.26/192.35 [166]~E(x1661,x1662)+E(f131(x1663,x1664,x1661,x1665),f131(x1663,x1664,x1662,x1665)) % 192.26/192.35 [167]~E(x1671,x1672)+E(f131(x1673,x1674,x1675,x1671),f131(x1673,x1674,x1675,x1672)) % 192.26/192.35 [168]~E(x1681,x1682)+E(f112(x1681),f112(x1682)) % 192.26/192.35 [169]~E(x1691,x1692)+E(f113(x1691),f113(x1692)) % 192.26/192.35 [170]~E(x1701,x1702)+E(f296(x1701),f296(x1702)) % 192.26/192.35 [171]~E(x1711,x1712)+E(f214(x1711),f214(x1712)) % 192.26/192.35 [172]~E(x1721,x1722)+E(f216(x1721,x1723),f216(x1722,x1723)) % 192.26/192.35 [173]~E(x1731,x1732)+E(f216(x1733,x1731),f216(x1733,x1732)) % 192.26/192.35 [174]~E(x1741,x1742)+E(f158(x1741,x1743,x1744),f158(x1742,x1743,x1744)) % 192.26/192.35 [175]~E(x1751,x1752)+E(f158(x1753,x1751,x1754),f158(x1753,x1752,x1754)) % 192.26/192.35 [176]~E(x1761,x1762)+E(f158(x1763,x1764,x1761),f158(x1763,x1764,x1762)) % 192.26/192.35 [177]~E(x1771,x1772)+E(f34(x1771,x1773,x1774,x1775,x1776,x1777,x1778,x1779,x17710,x17711),f34(x1772,x1773,x1774,x1775,x1776,x1777,x1778,x1779,x17710,x17711)) % 192.26/192.35 [178]~E(x1781,x1782)+E(f34(x1783,x1781,x1784,x1785,x1786,x1787,x1788,x1789,x17810,x17811),f34(x1783,x1782,x1784,x1785,x1786,x1787,x1788,x1789,x17810,x17811)) % 192.26/192.35 [179]~E(x1791,x1792)+E(f34(x1793,x1794,x1791,x1795,x1796,x1797,x1798,x1799,x17910,x17911),f34(x1793,x1794,x1792,x1795,x1796,x1797,x1798,x1799,x17910,x17911)) % 192.26/192.35 [180]~E(x1801,x1802)+E(f34(x1803,x1804,x1805,x1801,x1806,x1807,x1808,x1809,x18010,x18011),f34(x1803,x1804,x1805,x1802,x1806,x1807,x1808,x1809,x18010,x18011)) % 192.26/192.35 [181]~E(x1811,x1812)+E(f34(x1813,x1814,x1815,x1816,x1811,x1817,x1818,x1819,x18110,x18111),f34(x1813,x1814,x1815,x1816,x1812,x1817,x1818,x1819,x18110,x18111)) % 192.26/192.35 [182]~E(x1821,x1822)+E(f34(x1823,x1824,x1825,x1826,x1827,x1821,x1828,x1829,x18210,x18211),f34(x1823,x1824,x1825,x1826,x1827,x1822,x1828,x1829,x18210,x18211)) % 192.26/192.35 [183]~E(x1831,x1832)+E(f34(x1833,x1834,x1835,x1836,x1837,x1838,x1831,x1839,x18310,x18311),f34(x1833,x1834,x1835,x1836,x1837,x1838,x1832,x1839,x18310,x18311)) % 192.26/192.35 [184]~E(x1841,x1842)+E(f34(x1843,x1844,x1845,x1846,x1847,x1848,x1849,x1841,x18410,x18411),f34(x1843,x1844,x1845,x1846,x1847,x1848,x1849,x1842,x18410,x18411)) % 192.26/192.35 [185]~E(x1851,x1852)+E(f34(x1853,x1854,x1855,x1856,x1857,x1858,x1859,x18510,x1851,x18511),f34(x1853,x1854,x1855,x1856,x1857,x1858,x1859,x18510,x1852,x18511)) % 192.26/192.35 [186]~E(x1861,x1862)+E(f34(x1863,x1864,x1865,x1866,x1867,x1868,x1869,x18610,x18611,x1861),f34(x1863,x1864,x1865,x1866,x1867,x1868,x1869,x18610,x18611,x1862)) % 192.26/192.35 [187]~E(x1871,x1872)+E(f228(x1871,x1873,x1874),f228(x1872,x1873,x1874)) % 192.26/192.35 [188]~E(x1881,x1882)+E(f228(x1883,x1881,x1884),f228(x1883,x1882,x1884)) % 192.26/192.35 [189]~E(x1891,x1892)+E(f228(x1893,x1894,x1891),f228(x1893,x1894,x1892)) % 192.26/192.35 [190]~E(x1901,x1902)+E(f15(x1901,x1903),f15(x1902,x1903)) % 192.26/192.35 [191]~E(x1911,x1912)+E(f15(x1913,x1911),f15(x1913,x1912)) % 192.26/192.35 [192]~E(x1921,x1922)+E(f182(x1921),f182(x1922)) % 192.26/192.35 [193]~E(x1931,x1932)+E(f669(x1931,x1933,x1934,x1935),f669(x1932,x1933,x1934,x1935)) % 192.26/192.35 [194]~E(x1941,x1942)+E(f669(x1943,x1941,x1944,x1945),f669(x1943,x1942,x1944,x1945)) % 192.26/192.35 [195]~E(x1951,x1952)+E(f669(x1953,x1954,x1951,x1955),f669(x1953,x1954,x1952,x1955)) % 192.26/192.35 [196]~E(x1961,x1962)+E(f669(x1963,x1964,x1965,x1961),f669(x1963,x1964,x1965,x1962)) % 192.26/192.35 [197]~E(x1971,x1972)+E(f912(x1971,x1973),f912(x1972,x1973)) % 192.26/192.35 [198]~E(x1981,x1982)+E(f912(x1983,x1981),f912(x1983,x1982)) % 192.26/192.35 [199]~E(x1991,x1992)+E(f29(x1991,x1993,x1994),f29(x1992,x1993,x1994)) % 192.26/192.35 [200]~E(x2001,x2002)+E(f29(x2003,x2001,x2004),f29(x2003,x2002,x2004)) % 192.26/192.35 [201]~E(x2011,x2012)+E(f29(x2013,x2014,x2011),f29(x2013,x2014,x2012)) % 192.26/192.35 [202]~E(x2021,x2022)+E(f655(x2021,x2023,x2024,x2025,x2026),f655(x2022,x2023,x2024,x2025,x2026)) % 192.26/192.35 [203]~E(x2031,x2032)+E(f655(x2033,x2031,x2034,x2035,x2036),f655(x2033,x2032,x2034,x2035,x2036)) % 192.26/192.35 [204]~E(x2041,x2042)+E(f655(x2043,x2044,x2041,x2045,x2046),f655(x2043,x2044,x2042,x2045,x2046)) % 192.26/192.35 [205]~E(x2051,x2052)+E(f655(x2053,x2054,x2055,x2051,x2056),f655(x2053,x2054,x2055,x2052,x2056)) % 192.26/192.35 [206]~E(x2061,x2062)+E(f655(x2063,x2064,x2065,x2066,x2061),f655(x2063,x2064,x2065,x2066,x2062)) % 192.26/192.35 [207]~E(x2071,x2072)+E(f380(x2071),f380(x2072)) % 192.26/192.35 [208]~E(x2081,x2082)+E(f341(x2081,x2083,x2084),f341(x2082,x2083,x2084)) % 192.26/192.35 [209]~E(x2091,x2092)+E(f341(x2093,x2091,x2094),f341(x2093,x2092,x2094)) % 192.26/192.35 [210]~E(x2101,x2102)+E(f341(x2103,x2104,x2101),f341(x2103,x2104,x2102)) % 192.26/192.35 [211]~E(x2111,x2112)+E(f212(x2111),f212(x2112)) % 192.26/192.35 [212]~E(x2121,x2122)+E(f143(x2121,x2123),f143(x2122,x2123)) % 192.26/192.35 [213]~E(x2131,x2132)+E(f143(x2133,x2131),f143(x2133,x2132)) % 192.26/192.35 [214]~E(x2141,x2142)+E(f252(x2141,x2143,x2144),f252(x2142,x2143,x2144)) % 192.26/192.35 [215]~E(x2151,x2152)+E(f252(x2153,x2151,x2154),f252(x2153,x2152,x2154)) % 192.26/192.35 [216]~E(x2161,x2162)+E(f252(x2163,x2164,x2161),f252(x2163,x2164,x2162)) % 192.26/192.35 [217]~E(x2171,x2172)+E(f235(x2171,x2173,x2174,x2175,x2176,x2177),f235(x2172,x2173,x2174,x2175,x2176,x2177)) % 192.26/192.35 [218]~E(x2181,x2182)+E(f235(x2183,x2181,x2184,x2185,x2186,x2187),f235(x2183,x2182,x2184,x2185,x2186,x2187)) % 192.26/192.35 [219]~E(x2191,x2192)+E(f235(x2193,x2194,x2191,x2195,x2196,x2197),f235(x2193,x2194,x2192,x2195,x2196,x2197)) % 192.26/192.35 [220]~E(x2201,x2202)+E(f235(x2203,x2204,x2205,x2201,x2206,x2207),f235(x2203,x2204,x2205,x2202,x2206,x2207)) % 192.26/192.35 [221]~E(x2211,x2212)+E(f235(x2213,x2214,x2215,x2216,x2211,x2217),f235(x2213,x2214,x2215,x2216,x2212,x2217)) % 192.26/192.35 [222]~E(x2221,x2222)+E(f235(x2223,x2224,x2225,x2226,x2227,x2221),f235(x2223,x2224,x2225,x2226,x2227,x2222)) % 192.26/192.35 [223]~E(x2231,x2232)+E(f168(x2231,x2233),f168(x2232,x2233)) % 192.26/192.35 [224]~E(x2241,x2242)+E(f168(x2243,x2241),f168(x2243,x2242)) % 192.26/192.35 [225]~E(x2251,x2252)+E(f536(x2251,x2253,x2254),f536(x2252,x2253,x2254)) % 192.26/192.35 [226]~E(x2261,x2262)+E(f536(x2263,x2261,x2264),f536(x2263,x2262,x2264)) % 192.26/192.35 [227]~E(x2271,x2272)+E(f536(x2273,x2274,x2271),f536(x2273,x2274,x2272)) % 192.26/192.35 [228]~E(x2281,x2282)+E(f6(x2281,x2283),f6(x2282,x2283)) % 192.26/192.35 [229]~E(x2291,x2292)+E(f6(x2293,x2291),f6(x2293,x2292)) % 192.26/192.35 [230]~E(x2301,x2302)+E(f387(x2301,x2303,x2304,x2305,x2306),f387(x2302,x2303,x2304,x2305,x2306)) % 192.26/192.35 [231]~E(x2311,x2312)+E(f387(x2313,x2311,x2314,x2315,x2316),f387(x2313,x2312,x2314,x2315,x2316)) % 192.26/192.35 [232]~E(x2321,x2322)+E(f387(x2323,x2324,x2321,x2325,x2326),f387(x2323,x2324,x2322,x2325,x2326)) % 192.26/192.35 [233]~E(x2331,x2332)+E(f387(x2333,x2334,x2335,x2331,x2336),f387(x2333,x2334,x2335,x2332,x2336)) % 192.26/192.35 [234]~E(x2341,x2342)+E(f387(x2343,x2344,x2345,x2346,x2341),f387(x2343,x2344,x2345,x2346,x2342)) % 192.26/192.35 [235]~E(x2351,x2352)+E(f77(x2351),f77(x2352)) % 192.26/192.35 [236]~E(x2361,x2362)+E(f91(x2361),f91(x2362)) % 192.26/192.35 [237]~E(x2371,x2372)+E(f136(x2371,x2373),f136(x2372,x2373)) % 192.26/192.35 [238]~E(x2381,x2382)+E(f136(x2383,x2381),f136(x2383,x2382)) % 192.26/192.35 [239]~E(x2391,x2392)+E(f48(x2391,x2393),f48(x2392,x2393)) % 192.26/192.35 [240]~E(x2401,x2402)+E(f48(x2403,x2401),f48(x2403,x2402)) % 192.26/192.35 [241]~E(x2411,x2412)+E(f671(x2411,x2413,x2414,x2415),f671(x2412,x2413,x2414,x2415)) % 192.26/192.35 [242]~E(x2421,x2422)+E(f671(x2423,x2421,x2424,x2425),f671(x2423,x2422,x2424,x2425)) % 192.26/192.35 [243]~E(x2431,x2432)+E(f671(x2433,x2434,x2431,x2435),f671(x2433,x2434,x2432,x2435)) % 192.26/192.35 [244]~E(x2441,x2442)+E(f671(x2443,x2444,x2445,x2441),f671(x2443,x2444,x2445,x2442)) % 192.26/192.35 [245]~E(x2451,x2452)+E(f430(x2451,x2453),f430(x2452,x2453)) % 192.26/192.35 [246]~E(x2461,x2462)+E(f430(x2463,x2461),f430(x2463,x2462)) % 192.26/192.35 [247]~E(x2471,x2472)+E(f284(x2471,x2473),f284(x2472,x2473)) % 192.26/192.35 [248]~E(x2481,x2482)+E(f284(x2483,x2481),f284(x2483,x2482)) % 192.26/192.35 [249]~E(x2491,x2492)+E(f498(x2491,x2493,x2494,x2495),f498(x2492,x2493,x2494,x2495)) % 192.26/192.35 [250]~E(x2501,x2502)+E(f498(x2503,x2501,x2504,x2505),f498(x2503,x2502,x2504,x2505)) % 192.26/192.35 [251]~E(x2511,x2512)+E(f498(x2513,x2514,x2511,x2515),f498(x2513,x2514,x2512,x2515)) % 192.26/192.35 [252]~E(x2521,x2522)+E(f498(x2523,x2524,x2525,x2521),f498(x2523,x2524,x2525,x2522)) % 192.26/192.35 [253]~E(x2531,x2532)+E(f161(x2531),f161(x2532)) % 192.26/192.35 [254]~E(x2541,x2542)+E(f269(x2541,x2543,x2544),f269(x2542,x2543,x2544)) % 192.26/192.35 [255]~E(x2551,x2552)+E(f269(x2553,x2551,x2554),f269(x2553,x2552,x2554)) % 192.26/192.35 [256]~E(x2561,x2562)+E(f269(x2563,x2564,x2561),f269(x2563,x2564,x2562)) % 192.26/192.35 [257]~E(x2571,x2572)+E(f685(x2571,x2573),f685(x2572,x2573)) % 192.26/192.35 [258]~E(x2581,x2582)+E(f685(x2583,x2581),f685(x2583,x2582)) % 192.26/192.35 [259]~E(x2591,x2592)+E(f57(x2591),f57(x2592)) % 192.26/192.35 [260]~E(x2601,x2602)+E(f227(x2601,x2603),f227(x2602,x2603)) % 192.26/192.35 [261]~E(x2611,x2612)+E(f227(x2613,x2611),f227(x2613,x2612)) % 192.26/192.35 [262]~E(x2621,x2622)+E(f245(x2621,x2623,x2624),f245(x2622,x2623,x2624)) % 192.26/192.35 [263]~E(x2631,x2632)+E(f245(x2633,x2631,x2634),f245(x2633,x2632,x2634)) % 192.26/192.35 [264]~E(x2641,x2642)+E(f245(x2643,x2644,x2641),f245(x2643,x2644,x2642)) % 192.26/192.35 [265]~E(x2651,x2652)+E(f133(x2651,x2653),f133(x2652,x2653)) % 192.26/192.35 [266]~E(x2661,x2662)+E(f133(x2663,x2661),f133(x2663,x2662)) % 192.26/192.35 [267]~E(x2671,x2672)+E(f272(x2671,x2673,x2674),f272(x2672,x2673,x2674)) % 192.26/192.35 [268]~E(x2681,x2682)+E(f272(x2683,x2681,x2684),f272(x2683,x2682,x2684)) % 192.26/192.35 [269]~E(x2691,x2692)+E(f272(x2693,x2694,x2691),f272(x2693,x2694,x2692)) % 192.26/192.35 [270]~E(x2701,x2702)+E(f74(x2701,x2703,x2704),f74(x2702,x2703,x2704)) % 192.26/192.35 [271]~E(x2711,x2712)+E(f74(x2713,x2711,x2714),f74(x2713,x2712,x2714)) % 192.26/192.35 [272]~E(x2721,x2722)+E(f74(x2723,x2724,x2721),f74(x2723,x2724,x2722)) % 192.26/192.35 [273]~E(x2731,x2732)+E(f724(x2731,x2733),f724(x2732,x2733)) % 192.26/192.35 [274]~E(x2741,x2742)+E(f724(x2743,x2741),f724(x2743,x2742)) % 192.26/192.35 [275]~E(x2751,x2752)+E(f505(x2751,x2753),f505(x2752,x2753)) % 192.26/192.35 [276]~E(x2761,x2762)+E(f505(x2763,x2761),f505(x2763,x2762)) % 192.26/192.35 [277]~E(x2771,x2772)+E(f871(x2771,x2773,x2774,x2775),f871(x2772,x2773,x2774,x2775)) % 192.26/192.35 [278]~E(x2781,x2782)+E(f871(x2783,x2781,x2784,x2785),f871(x2783,x2782,x2784,x2785)) % 192.26/192.35 [279]~E(x2791,x2792)+E(f871(x2793,x2794,x2791,x2795),f871(x2793,x2794,x2792,x2795)) % 192.26/192.35 [280]~E(x2801,x2802)+E(f871(x2803,x2804,x2805,x2801),f871(x2803,x2804,x2805,x2802)) % 192.26/192.35 [281]~E(x2811,x2812)+E(f240(x2811,x2813),f240(x2812,x2813)) % 192.26/192.35 [282]~E(x2821,x2822)+E(f240(x2823,x2821),f240(x2823,x2822)) % 192.26/192.35 [283]~E(x2831,x2832)+E(f285(x2831,x2833),f285(x2832,x2833)) % 192.26/192.35 [284]~E(x2841,x2842)+E(f285(x2843,x2841),f285(x2843,x2842)) % 192.26/192.35 [285]~E(x2851,x2852)+E(f769(x2851,x2853,x2854,x2855,x2856),f769(x2852,x2853,x2854,x2855,x2856)) % 192.26/192.35 [286]~E(x2861,x2862)+E(f769(x2863,x2861,x2864,x2865,x2866),f769(x2863,x2862,x2864,x2865,x2866)) % 192.26/192.35 [287]~E(x2871,x2872)+E(f769(x2873,x2874,x2871,x2875,x2876),f769(x2873,x2874,x2872,x2875,x2876)) % 192.26/192.35 [288]~E(x2881,x2882)+E(f769(x2883,x2884,x2885,x2881,x2886),f769(x2883,x2884,x2885,x2882,x2886)) % 192.26/192.35 [289]~E(x2891,x2892)+E(f769(x2893,x2894,x2895,x2896,x2891),f769(x2893,x2894,x2895,x2896,x2892)) % 192.26/192.35 [290]~E(x2901,x2902)+E(f649(x2901,x2903,x2904,x2905,x2906),f649(x2902,x2903,x2904,x2905,x2906)) % 192.26/192.35 [291]~E(x2911,x2912)+E(f649(x2913,x2911,x2914,x2915,x2916),f649(x2913,x2912,x2914,x2915,x2916)) % 192.26/192.35 [292]~E(x2921,x2922)+E(f649(x2923,x2924,x2921,x2925,x2926),f649(x2923,x2924,x2922,x2925,x2926)) % 192.26/192.35 [293]~E(x2931,x2932)+E(f649(x2933,x2934,x2935,x2931,x2936),f649(x2933,x2934,x2935,x2932,x2936)) % 192.26/192.35 [294]~E(x2941,x2942)+E(f649(x2943,x2944,x2945,x2946,x2941),f649(x2943,x2944,x2945,x2946,x2942)) % 192.26/192.35 [295]~E(x2951,x2952)+E(f138(x2951,x2953,x2954,x2955,x2956),f138(x2952,x2953,x2954,x2955,x2956)) % 192.26/192.35 [296]~E(x2961,x2962)+E(f138(x2963,x2961,x2964,x2965,x2966),f138(x2963,x2962,x2964,x2965,x2966)) % 192.26/192.35 [297]~E(x2971,x2972)+E(f138(x2973,x2974,x2971,x2975,x2976),f138(x2973,x2974,x2972,x2975,x2976)) % 192.26/192.35 [298]~E(x2981,x2982)+E(f138(x2983,x2984,x2985,x2981,x2986),f138(x2983,x2984,x2985,x2982,x2986)) % 192.26/192.35 [299]~E(x2991,x2992)+E(f138(x2993,x2994,x2995,x2996,x2991),f138(x2993,x2994,x2995,x2996,x2992)) % 192.26/192.35 [300]~E(x3001,x3002)+E(f16(x3001,x3003),f16(x3002,x3003)) % 192.26/192.35 [301]~E(x3011,x3012)+E(f16(x3013,x3011),f16(x3013,x3012)) % 192.26/192.35 [302]~E(x3021,x3022)+E(f121(x3021,x3023),f121(x3022,x3023)) % 192.26/192.35 [303]~E(x3031,x3032)+E(f121(x3033,x3031),f121(x3033,x3032)) % 192.26/192.35 [304]~E(x3041,x3042)+E(f157(x3041),f157(x3042)) % 192.26/192.35 [305]~E(x3051,x3052)+E(f154(x3051),f154(x3052)) % 192.26/192.35 [306]~E(x3061,x3062)+E(f141(x3061,x3063),f141(x3062,x3063)) % 192.26/192.35 [307]~E(x3071,x3072)+E(f141(x3073,x3071),f141(x3073,x3072)) % 192.26/192.35 [308]~E(x3081,x3082)+E(f308(x3081,x3083,x3084,x3085),f308(x3082,x3083,x3084,x3085)) % 192.26/192.35 [309]~E(x3091,x3092)+E(f308(x3093,x3091,x3094,x3095),f308(x3093,x3092,x3094,x3095)) % 192.26/192.35 [310]~E(x3101,x3102)+E(f308(x3103,x3104,x3101,x3105),f308(x3103,x3104,x3102,x3105)) % 192.26/192.35 [311]~E(x3111,x3112)+E(f308(x3113,x3114,x3115,x3111),f308(x3113,x3114,x3115,x3112)) % 192.26/192.35 [312]~E(x3121,x3122)+E(f159(x3121),f159(x3122)) % 192.26/192.35 [313]~E(x3131,x3132)+E(f374(x3131,x3133,x3134,x3135),f374(x3132,x3133,x3134,x3135)) % 192.26/192.35 [314]~E(x3141,x3142)+E(f374(x3143,x3141,x3144,x3145),f374(x3143,x3142,x3144,x3145)) % 192.26/192.35 [315]~E(x3151,x3152)+E(f374(x3153,x3154,x3151,x3155),f374(x3153,x3154,x3152,x3155)) % 192.26/192.35 [316]~E(x3161,x3162)+E(f374(x3163,x3164,x3165,x3161),f374(x3163,x3164,x3165,x3162)) % 192.26/192.35 [317]~E(x3171,x3172)+E(f50(x3171,x3173),f50(x3172,x3173)) % 192.26/192.35 [318]~E(x3181,x3182)+E(f50(x3183,x3181),f50(x3183,x3182)) % 192.26/192.35 [319]~E(x3191,x3192)+E(f11(x3191,x3193),f11(x3192,x3193)) % 192.26/192.35 [320]~E(x3201,x3202)+E(f11(x3203,x3201),f11(x3203,x3202)) % 192.26/192.35 [321]~E(x3211,x3212)+E(f27(x3211,x3213),f27(x3212,x3213)) % 192.26/192.35 [322]~E(x3221,x3222)+E(f27(x3223,x3221),f27(x3223,x3222)) % 192.26/192.35 [323]~E(x3231,x3232)+E(f236(x3231,x3233),f236(x3232,x3233)) % 192.26/192.35 [324]~E(x3241,x3242)+E(f236(x3243,x3241),f236(x3243,x3242)) % 192.26/192.35 [325]~E(x3251,x3252)+E(f253(x3251,x3253),f253(x3252,x3253)) % 192.26/192.35 [326]~E(x3261,x3262)+E(f253(x3263,x3261),f253(x3263,x3262)) % 192.26/192.35 [327]~E(x3271,x3272)+E(f98(x3271,x3273,x3274,x3275),f98(x3272,x3273,x3274,x3275)) % 192.26/192.35 [328]~E(x3281,x3282)+E(f98(x3283,x3281,x3284,x3285),f98(x3283,x3282,x3284,x3285)) % 192.26/192.35 [329]~E(x3291,x3292)+E(f98(x3293,x3294,x3291,x3295),f98(x3293,x3294,x3292,x3295)) % 192.26/192.35 [330]~E(x3301,x3302)+E(f98(x3303,x3304,x3305,x3301),f98(x3303,x3304,x3305,x3302)) % 192.26/192.35 [331]~E(x3311,x3312)+E(f156(x3311),f156(x3312)) % 192.26/192.35 [332]~E(x3321,x3322)+E(f734(x3321,x3323,x3324,x3325,x3326),f734(x3322,x3323,x3324,x3325,x3326)) % 192.26/192.35 [333]~E(x3331,x3332)+E(f734(x3333,x3331,x3334,x3335,x3336),f734(x3333,x3332,x3334,x3335,x3336)) % 192.26/192.35 [334]~E(x3341,x3342)+E(f734(x3343,x3344,x3341,x3345,x3346),f734(x3343,x3344,x3342,x3345,x3346)) % 192.26/192.35 [335]~E(x3351,x3352)+E(f734(x3353,x3354,x3355,x3351,x3356),f734(x3353,x3354,x3355,x3352,x3356)) % 192.26/192.35 [336]~E(x3361,x3362)+E(f734(x3363,x3364,x3365,x3366,x3361),f734(x3363,x3364,x3365,x3366,x3362)) % 192.26/192.35 [337]~E(x3371,x3372)+E(f66(x3371,x3373,x3374),f66(x3372,x3373,x3374)) % 192.26/192.35 [338]~E(x3381,x3382)+E(f66(x3383,x3381,x3384),f66(x3383,x3382,x3384)) % 192.26/192.35 [339]~E(x3391,x3392)+E(f66(x3393,x3394,x3391),f66(x3393,x3394,x3392)) % 192.26/192.35 [340]~E(x3401,x3402)+E(f94(x3401,x3403,x3404,x3405),f94(x3402,x3403,x3404,x3405)) % 192.26/192.35 [341]~E(x3411,x3412)+E(f94(x3413,x3411,x3414,x3415),f94(x3413,x3412,x3414,x3415)) % 192.26/192.35 [342]~E(x3421,x3422)+E(f94(x3423,x3424,x3421,x3425),f94(x3423,x3424,x3422,x3425)) % 192.26/192.35 [343]~E(x3431,x3432)+E(f94(x3433,x3434,x3435,x3431),f94(x3433,x3434,x3435,x3432)) % 192.26/192.35 [344]~E(x3441,x3442)+E(f598(x3441,x3443,x3444),f598(x3442,x3443,x3444)) % 192.26/192.35 [345]~E(x3451,x3452)+E(f598(x3453,x3451,x3454),f598(x3453,x3452,x3454)) % 192.26/192.35 [346]~E(x3461,x3462)+E(f598(x3463,x3464,x3461),f598(x3463,x3464,x3462)) % 192.26/192.35 [347]~E(x3471,x3472)+E(f278(x3471,x3473,x3474),f278(x3472,x3473,x3474)) % 192.26/192.35 [348]~E(x3481,x3482)+E(f278(x3483,x3481,x3484),f278(x3483,x3482,x3484)) % 192.26/192.35 [349]~E(x3491,x3492)+E(f278(x3493,x3494,x3491),f278(x3493,x3494,x3492)) % 192.26/192.35 [350]~E(x3501,x3502)+E(f130(x3501),f130(x3502)) % 192.26/192.35 [351]~E(x3511,x3512)+E(f126(x3511),f126(x3512)) % 192.26/192.35 [352]~E(x3521,x3522)+E(f287(x3521,x3523),f287(x3522,x3523)) % 192.26/192.35 [353]~E(x3531,x3532)+E(f287(x3533,x3531),f287(x3533,x3532)) % 192.26/192.35 [354]~E(x3541,x3542)+E(f93(x3541,x3543),f93(x3542,x3543)) % 192.26/192.35 [355]~E(x3551,x3552)+E(f93(x3553,x3551),f93(x3553,x3552)) % 192.26/192.35 [356]~E(x3561,x3562)+E(f322(x3561,x3563,x3564),f322(x3562,x3563,x3564)) % 192.26/192.35 [357]~E(x3571,x3572)+E(f322(x3573,x3571,x3574),f322(x3573,x3572,x3574)) % 192.26/192.35 [358]~E(x3581,x3582)+E(f322(x3583,x3584,x3581),f322(x3583,x3584,x3582)) % 192.26/192.35 [359]~E(x3591,x3592)+E(f541(x3591,x3593,x3594,x3595,x3596),f541(x3592,x3593,x3594,x3595,x3596)) % 192.26/192.35 [360]~E(x3601,x3602)+E(f541(x3603,x3601,x3604,x3605,x3606),f541(x3603,x3602,x3604,x3605,x3606)) % 192.26/192.35 [361]~E(x3611,x3612)+E(f541(x3613,x3614,x3611,x3615,x3616),f541(x3613,x3614,x3612,x3615,x3616)) % 192.26/192.35 [362]~E(x3621,x3622)+E(f541(x3623,x3624,x3625,x3621,x3626),f541(x3623,x3624,x3625,x3622,x3626)) % 192.26/192.35 [363]~E(x3631,x3632)+E(f541(x3633,x3634,x3635,x3636,x3631),f541(x3633,x3634,x3635,x3636,x3632)) % 192.26/192.35 [364]~E(x3641,x3642)+E(f593(x3641,x3643,x3644,x3645,x3646,x3647,x3648),f593(x3642,x3643,x3644,x3645,x3646,x3647,x3648)) % 192.26/192.35 [365]~E(x3651,x3652)+E(f593(x3653,x3651,x3654,x3655,x3656,x3657,x3658),f593(x3653,x3652,x3654,x3655,x3656,x3657,x3658)) % 192.26/192.35 [366]~E(x3661,x3662)+E(f593(x3663,x3664,x3661,x3665,x3666,x3667,x3668),f593(x3663,x3664,x3662,x3665,x3666,x3667,x3668)) % 192.26/192.35 [367]~E(x3671,x3672)+E(f593(x3673,x3674,x3675,x3671,x3676,x3677,x3678),f593(x3673,x3674,x3675,x3672,x3676,x3677,x3678)) % 192.26/192.35 [368]~E(x3681,x3682)+E(f593(x3683,x3684,x3685,x3686,x3681,x3687,x3688),f593(x3683,x3684,x3685,x3686,x3682,x3687,x3688)) % 192.26/192.35 [369]~E(x3691,x3692)+E(f593(x3693,x3694,x3695,x3696,x3697,x3691,x3698),f593(x3693,x3694,x3695,x3696,x3697,x3692,x3698)) % 192.26/192.35 [370]~E(x3701,x3702)+E(f593(x3703,x3704,x3705,x3706,x3707,x3708,x3701),f593(x3703,x3704,x3705,x3706,x3707,x3708,x3702)) % 192.26/192.35 [371]~E(x3711,x3712)+E(f33(x3711,x3713),f33(x3712,x3713)) % 192.26/192.35 [372]~E(x3721,x3722)+E(f33(x3723,x3721),f33(x3723,x3722)) % 192.26/192.35 [373]~E(x3731,x3732)+E(f257(x3731,x3733),f257(x3732,x3733)) % 192.26/192.35 [374]~E(x3741,x3742)+E(f257(x3743,x3741),f257(x3743,x3742)) % 192.26/192.35 [375]~E(x3751,x3752)+E(f652(x3751,x3753,x3754,x3755,x3756),f652(x3752,x3753,x3754,x3755,x3756)) % 192.26/192.35 [376]~E(x3761,x3762)+E(f652(x3763,x3761,x3764,x3765,x3766),f652(x3763,x3762,x3764,x3765,x3766)) % 192.26/192.35 [377]~E(x3771,x3772)+E(f652(x3773,x3774,x3771,x3775,x3776),f652(x3773,x3774,x3772,x3775,x3776)) % 192.26/192.35 [378]~E(x3781,x3782)+E(f652(x3783,x3784,x3785,x3781,x3786),f652(x3783,x3784,x3785,x3782,x3786)) % 192.26/192.35 [379]~E(x3791,x3792)+E(f652(x3793,x3794,x3795,x3796,x3791),f652(x3793,x3794,x3795,x3796,x3792)) % 192.26/192.35 [380]~E(x3801,x3802)+E(f148(x3801,x3803),f148(x3802,x3803)) % 192.26/192.35 [381]~E(x3811,x3812)+E(f148(x3813,x3811),f148(x3813,x3812)) % 192.26/192.35 [382]~E(x3821,x3822)+E(f517(x3821,x3823),f517(x3822,x3823)) % 192.26/192.35 [383]~E(x3831,x3832)+E(f517(x3833,x3831),f517(x3833,x3832)) % 192.26/192.35 [384]~E(x3841,x3842)+E(f848(x3841,x3843,x3844),f848(x3842,x3843,x3844)) % 192.26/192.35 [385]~E(x3851,x3852)+E(f848(x3853,x3851,x3854),f848(x3853,x3852,x3854)) % 192.26/192.35 [386]~E(x3861,x3862)+E(f848(x3863,x3864,x3861),f848(x3863,x3864,x3862)) % 192.26/192.35 [387]~E(x3871,x3872)+E(f164(x3871,x3873,x3874),f164(x3872,x3873,x3874)) % 192.26/192.35 [388]~E(x3881,x3882)+E(f164(x3883,x3881,x3884),f164(x3883,x3882,x3884)) % 192.26/192.35 [389]~E(x3891,x3892)+E(f164(x3893,x3894,x3891),f164(x3893,x3894,x3892)) % 192.26/192.35 [390]~E(x3901,x3902)+E(f14(x3901,x3903),f14(x3902,x3903)) % 192.26/192.35 [391]~E(x3911,x3912)+E(f14(x3913,x3911),f14(x3913,x3912)) % 192.26/192.35 [392]~E(x3921,x3922)+E(f32(x3921,x3923),f32(x3922,x3923)) % 192.26/192.35 [393]~E(x3931,x3932)+E(f32(x3933,x3931),f32(x3933,x3932)) % 192.26/192.35 [394]~E(x3941,x3942)+E(f289(x3941,x3943),f289(x3942,x3943)) % 192.26/192.35 [395]~E(x3951,x3952)+E(f289(x3953,x3951),f289(x3953,x3952)) % 192.26/192.35 [396]~E(x3961,x3962)+E(f170(x3961,x3963),f170(x3962,x3963)) % 192.26/192.35 [397]~E(x3971,x3972)+E(f170(x3973,x3971),f170(x3973,x3972)) % 192.26/192.35 [398]~E(x3981,x3982)+E(f101(x3981,x3983,x3984,x3985),f101(x3982,x3983,x3984,x3985)) % 192.26/192.35 [399]~E(x3991,x3992)+E(f101(x3993,x3991,x3994,x3995),f101(x3993,x3992,x3994,x3995)) % 192.26/192.35 [400]~E(x4001,x4002)+E(f101(x4003,x4004,x4001,x4005),f101(x4003,x4004,x4002,x4005)) % 192.26/192.35 [401]~E(x4011,x4012)+E(f101(x4013,x4014,x4015,x4011),f101(x4013,x4014,x4015,x4012)) % 192.26/192.35 [402]~E(x4021,x4022)+E(f581(x4021,x4023,x4024,x4025,x4026,x4027),f581(x4022,x4023,x4024,x4025,x4026,x4027)) % 192.26/192.35 [403]~E(x4031,x4032)+E(f581(x4033,x4031,x4034,x4035,x4036,x4037),f581(x4033,x4032,x4034,x4035,x4036,x4037)) % 192.26/192.35 [404]~E(x4041,x4042)+E(f581(x4043,x4044,x4041,x4045,x4046,x4047),f581(x4043,x4044,x4042,x4045,x4046,x4047)) % 192.26/192.35 [405]~E(x4051,x4052)+E(f581(x4053,x4054,x4055,x4051,x4056,x4057),f581(x4053,x4054,x4055,x4052,x4056,x4057)) % 192.26/192.35 [406]~E(x4061,x4062)+E(f581(x4063,x4064,x4065,x4066,x4061,x4067),f581(x4063,x4064,x4065,x4066,x4062,x4067)) % 192.26/192.35 [407]~E(x4071,x4072)+E(f581(x4073,x4074,x4075,x4076,x4077,x4071),f581(x4073,x4074,x4075,x4076,x4077,x4072)) % 192.26/192.35 [408]~E(x4081,x4082)+E(f728(x4081,x4083),f728(x4082,x4083)) % 192.26/192.35 [409]~E(x4091,x4092)+E(f728(x4093,x4091),f728(x4093,x4092)) % 192.26/192.35 [410]~E(x4101,x4102)+E(f429(x4101,x4103,x4104,x4105),f429(x4102,x4103,x4104,x4105)) % 192.26/192.35 [411]~E(x4111,x4112)+E(f429(x4113,x4111,x4114,x4115),f429(x4113,x4112,x4114,x4115)) % 192.26/192.35 [412]~E(x4121,x4122)+E(f429(x4123,x4124,x4121,x4125),f429(x4123,x4124,x4122,x4125)) % 192.26/192.35 [413]~E(x4131,x4132)+E(f429(x4133,x4134,x4135,x4131),f429(x4133,x4134,x4135,x4132)) % 192.26/192.35 [414]~E(x4141,x4142)+E(f255(x4141,x4143,x4144),f255(x4142,x4143,x4144)) % 192.26/192.35 [415]~E(x4151,x4152)+E(f255(x4153,x4151,x4154),f255(x4153,x4152,x4154)) % 192.26/192.35 [416]~E(x4161,x4162)+E(f255(x4163,x4164,x4161),f255(x4163,x4164,x4162)) % 192.26/192.35 [417]~E(x4171,x4172)+E(f79(x4171,x4173,x4174,x4175,x4176,x4177),f79(x4172,x4173,x4174,x4175,x4176,x4177)) % 192.26/192.35 [418]~E(x4181,x4182)+E(f79(x4183,x4181,x4184,x4185,x4186,x4187),f79(x4183,x4182,x4184,x4185,x4186,x4187)) % 192.26/192.35 [419]~E(x4191,x4192)+E(f79(x4193,x4194,x4191,x4195,x4196,x4197),f79(x4193,x4194,x4192,x4195,x4196,x4197)) % 192.26/192.35 [420]~E(x4201,x4202)+E(f79(x4203,x4204,x4205,x4201,x4206,x4207),f79(x4203,x4204,x4205,x4202,x4206,x4207)) % 192.26/192.35 [421]~E(x4211,x4212)+E(f79(x4213,x4214,x4215,x4216,x4211,x4217),f79(x4213,x4214,x4215,x4216,x4212,x4217)) % 192.26/192.35 [422]~E(x4221,x4222)+E(f79(x4223,x4224,x4225,x4226,x4227,x4221),f79(x4223,x4224,x4225,x4226,x4227,x4222)) % 192.26/192.35 [423]~E(x4231,x4232)+E(f30(x4231,x4233,x4234),f30(x4232,x4233,x4234)) % 192.26/192.35 [424]~E(x4241,x4242)+E(f30(x4243,x4241,x4244),f30(x4243,x4242,x4244)) % 192.26/192.35 [425]~E(x4251,x4252)+E(f30(x4253,x4254,x4251),f30(x4253,x4254,x4252)) % 192.26/192.35 [426]~E(x4261,x4262)+E(f364(x4261,x4263,x4264,x4265,x4266),f364(x4262,x4263,x4264,x4265,x4266)) % 192.26/192.35 [427]~E(x4271,x4272)+E(f364(x4273,x4271,x4274,x4275,x4276),f364(x4273,x4272,x4274,x4275,x4276)) % 192.26/192.35 [428]~E(x4281,x4282)+E(f364(x4283,x4284,x4281,x4285,x4286),f364(x4283,x4284,x4282,x4285,x4286)) % 192.26/192.35 [429]~E(x4291,x4292)+E(f364(x4293,x4294,x4295,x4291,x4296),f364(x4293,x4294,x4295,x4292,x4296)) % 192.26/192.35 [430]~E(x4301,x4302)+E(f364(x4303,x4304,x4305,x4306,x4301),f364(x4303,x4304,x4305,x4306,x4302)) % 192.26/192.35 [431]~E(x4311,x4312)+E(f230(x4311,x4313,x4314,x4315),f230(x4312,x4313,x4314,x4315)) % 192.26/192.35 [432]~E(x4321,x4322)+E(f230(x4323,x4321,x4324,x4325),f230(x4323,x4322,x4324,x4325)) % 192.26/192.35 [433]~E(x4331,x4332)+E(f230(x4333,x4334,x4331,x4335),f230(x4333,x4334,x4332,x4335)) % 192.26/192.35 [434]~E(x4341,x4342)+E(f230(x4343,x4344,x4345,x4341),f230(x4343,x4344,x4345,x4342)) % 192.26/192.35 [435]~E(x4351,x4352)+E(f90(x4351),f90(x4352)) % 192.26/192.35 [436]~E(x4361,x4362)+E(f539(x4361,x4363,x4364,x4365,x4366,x4367),f539(x4362,x4363,x4364,x4365,x4366,x4367)) % 192.26/192.35 [437]~E(x4371,x4372)+E(f539(x4373,x4371,x4374,x4375,x4376,x4377),f539(x4373,x4372,x4374,x4375,x4376,x4377)) % 192.26/192.35 [438]~E(x4381,x4382)+E(f539(x4383,x4384,x4381,x4385,x4386,x4387),f539(x4383,x4384,x4382,x4385,x4386,x4387)) % 192.26/192.35 [439]~E(x4391,x4392)+E(f539(x4393,x4394,x4395,x4391,x4396,x4397),f539(x4393,x4394,x4395,x4392,x4396,x4397)) % 192.26/192.35 [440]~E(x4401,x4402)+E(f539(x4403,x4404,x4405,x4406,x4401,x4407),f539(x4403,x4404,x4405,x4406,x4402,x4407)) % 192.26/192.35 [441]~E(x4411,x4412)+E(f539(x4413,x4414,x4415,x4416,x4417,x4411),f539(x4413,x4414,x4415,x4416,x4417,x4412)) % 192.26/192.35 [442]~E(x4421,x4422)+E(f125(x4421,x4423),f125(x4422,x4423)) % 192.26/192.35 [443]~E(x4431,x4432)+E(f125(x4433,x4431),f125(x4433,x4432)) % 192.26/192.35 [444]~E(x4441,x4442)+E(f557(x4441,x4443,x4444),f557(x4442,x4443,x4444)) % 192.26/192.35 [445]~E(x4451,x4452)+E(f557(x4453,x4451,x4454),f557(x4453,x4452,x4454)) % 192.26/192.35 [446]~E(x4461,x4462)+E(f557(x4463,x4464,x4461),f557(x4463,x4464,x4462)) % 192.26/192.35 [447]~E(x4471,x4472)+E(f103(x4471),f103(x4472)) % 192.26/192.35 [448]~E(x4481,x4482)+E(f648(x4481,x4483,x4484,x4485,x4486),f648(x4482,x4483,x4484,x4485,x4486)) % 192.26/192.35 [449]~E(x4491,x4492)+E(f648(x4493,x4491,x4494,x4495,x4496),f648(x4493,x4492,x4494,x4495,x4496)) % 192.26/192.35 [450]~E(x4501,x4502)+E(f648(x4503,x4504,x4501,x4505,x4506),f648(x4503,x4504,x4502,x4505,x4506)) % 192.26/192.35 [451]~E(x4511,x4512)+E(f648(x4513,x4514,x4515,x4511,x4516),f648(x4513,x4514,x4515,x4512,x4516)) % 192.26/192.35 [452]~E(x4521,x4522)+E(f648(x4523,x4524,x4525,x4526,x4521),f648(x4523,x4524,x4525,x4526,x4522)) % 192.26/192.35 [453]~E(x4531,x4532)+E(f88(x4531,x4533),f88(x4532,x4533)) % 192.26/192.35 [454]~E(x4541,x4542)+E(f88(x4543,x4541),f88(x4543,x4542)) % 192.26/192.35 [455]~E(x4551,x4552)+E(f810(x4551,x4553,x4554,x4555,x4556,x4557,x4558,x4559),f810(x4552,x4553,x4554,x4555,x4556,x4557,x4558,x4559)) % 192.26/192.35 [456]~E(x4561,x4562)+E(f810(x4563,x4561,x4564,x4565,x4566,x4567,x4568,x4569),f810(x4563,x4562,x4564,x4565,x4566,x4567,x4568,x4569)) % 192.26/192.35 [457]~E(x4571,x4572)+E(f810(x4573,x4574,x4571,x4575,x4576,x4577,x4578,x4579),f810(x4573,x4574,x4572,x4575,x4576,x4577,x4578,x4579)) % 192.26/192.35 [458]~E(x4581,x4582)+E(f810(x4583,x4584,x4585,x4581,x4586,x4587,x4588,x4589),f810(x4583,x4584,x4585,x4582,x4586,x4587,x4588,x4589)) % 192.26/192.35 [459]~E(x4591,x4592)+E(f810(x4593,x4594,x4595,x4596,x4591,x4597,x4598,x4599),f810(x4593,x4594,x4595,x4596,x4592,x4597,x4598,x4599)) % 192.26/192.35 [460]~E(x4601,x4602)+E(f810(x4603,x4604,x4605,x4606,x4607,x4601,x4608,x4609),f810(x4603,x4604,x4605,x4606,x4607,x4602,x4608,x4609)) % 192.26/192.35 [461]~E(x4611,x4612)+E(f810(x4613,x4614,x4615,x4616,x4617,x4618,x4611,x4619),f810(x4613,x4614,x4615,x4616,x4617,x4618,x4612,x4619)) % 192.26/192.35 [462]~E(x4621,x4622)+E(f810(x4623,x4624,x4625,x4626,x4627,x4628,x4629,x4621),f810(x4623,x4624,x4625,x4626,x4627,x4628,x4629,x4622)) % 192.26/192.35 [463]~E(x4631,x4632)+E(f128(x4631,x4633),f128(x4632,x4633)) % 192.26/192.35 [464]~E(x4641,x4642)+E(f128(x4643,x4641),f128(x4643,x4642)) % 192.26/192.35 [465]~E(x4651,x4652)+E(f165(x4651,x4653),f165(x4652,x4653)) % 192.26/192.35 [466]~E(x4661,x4662)+E(f165(x4663,x4661),f165(x4663,x4662)) % 192.26/192.35 [467]~E(x4671,x4672)+E(f142(x4671,x4673),f142(x4672,x4673)) % 192.26/192.35 [468]~E(x4681,x4682)+E(f142(x4683,x4681),f142(x4683,x4682)) % 192.26/192.35 [469]~E(x4691,x4692)+E(f213(x4691,x4693),f213(x4692,x4693)) % 192.26/192.35 [470]~E(x4701,x4702)+E(f213(x4703,x4701),f213(x4703,x4702)) % 192.26/192.35 [471]~E(x4711,x4712)+E(f65(x4711,x4713,x4714),f65(x4712,x4713,x4714)) % 192.26/192.35 [472]~E(x4721,x4722)+E(f65(x4723,x4721,x4724),f65(x4723,x4722,x4724)) % 192.26/192.35 [473]~E(x4731,x4732)+E(f65(x4733,x4734,x4731),f65(x4733,x4734,x4732)) % 192.26/192.35 [474]~E(x4741,x4742)+E(f432(x4741),f432(x4742)) % 192.26/192.35 [475]~E(x4751,x4752)+E(f226(x4751,x4753),f226(x4752,x4753)) % 192.26/192.35 [476]~E(x4761,x4762)+E(f226(x4763,x4761),f226(x4763,x4762)) % 192.26/192.35 [477]~E(x4771,x4772)+E(f270(x4771),f270(x4772)) % 192.26/192.35 [478]~E(x4781,x4782)+E(f196(x4781),f196(x4782)) % 192.26/192.35 [479]~E(x4791,x4792)+E(f49(x4791,x4793),f49(x4792,x4793)) % 192.26/192.35 [480]~E(x4801,x4802)+E(f49(x4803,x4801),f49(x4803,x4802)) % 192.26/192.35 [481]~E(x4811,x4812)+E(f150(x4811,x4813),f150(x4812,x4813)) % 192.26/192.35 [482]~E(x4821,x4822)+E(f150(x4823,x4821),f150(x4823,x4822)) % 192.26/192.35 [483]~E(x4831,x4832)+E(f389(x4831,x4833,x4834,x4835),f389(x4832,x4833,x4834,x4835)) % 192.26/192.35 [484]~E(x4841,x4842)+E(f389(x4843,x4841,x4844,x4845),f389(x4843,x4842,x4844,x4845)) % 192.26/192.35 [485]~E(x4851,x4852)+E(f389(x4853,x4854,x4851,x4855),f389(x4853,x4854,x4852,x4855)) % 192.26/192.35 [486]~E(x4861,x4862)+E(f389(x4863,x4864,x4865,x4861),f389(x4863,x4864,x4865,x4862)) % 192.26/192.35 [487]~E(x4871,x4872)+E(f841(x4871,x4873,x4874),f841(x4872,x4873,x4874)) % 192.26/192.35 [488]~E(x4881,x4882)+E(f841(x4883,x4881,x4884),f841(x4883,x4882,x4884)) % 192.26/192.35 [489]~E(x4891,x4892)+E(f841(x4893,x4894,x4891),f841(x4893,x4894,x4892)) % 192.26/192.35 [490]~E(x4901,x4902)+E(f502(x4901,x4903,x4904,x4905,x4906),f502(x4902,x4903,x4904,x4905,x4906)) % 192.26/192.35 [491]~E(x4911,x4912)+E(f502(x4913,x4911,x4914,x4915,x4916),f502(x4913,x4912,x4914,x4915,x4916)) % 192.26/192.35 [492]~E(x4921,x4922)+E(f502(x4923,x4924,x4921,x4925,x4926),f502(x4923,x4924,x4922,x4925,x4926)) % 192.26/192.35 [493]~E(x4931,x4932)+E(f502(x4933,x4934,x4935,x4931,x4936),f502(x4933,x4934,x4935,x4932,x4936)) % 192.26/192.35 [494]~E(x4941,x4942)+E(f502(x4943,x4944,x4945,x4946,x4941),f502(x4943,x4944,x4945,x4946,x4942)) % 192.26/192.35 [495]~E(x4951,x4952)+E(f162(x4951,x4953,x4954),f162(x4952,x4953,x4954)) % 192.26/192.35 [496]~E(x4961,x4962)+E(f162(x4963,x4961,x4964),f162(x4963,x4962,x4964)) % 192.26/192.35 [497]~E(x4971,x4972)+E(f162(x4973,x4974,x4971),f162(x4973,x4974,x4972)) % 192.26/192.35 [498]~E(x4981,x4982)+E(f13(x4981,x4983,x4984),f13(x4982,x4983,x4984)) % 192.26/192.35 [499]~E(x4991,x4992)+E(f13(x4993,x4991,x4994),f13(x4993,x4992,x4994)) % 192.26/192.35 [500]~E(x5001,x5002)+E(f13(x5003,x5004,x5001),f13(x5003,x5004,x5002)) % 192.26/192.35 [501]~E(x5011,x5012)+E(f67(x5011,x5013,x5014,x5015,x5016),f67(x5012,x5013,x5014,x5015,x5016)) % 192.26/192.35 [502]~E(x5021,x5022)+E(f67(x5023,x5021,x5024,x5025,x5026),f67(x5023,x5022,x5024,x5025,x5026)) % 192.26/192.35 [503]~E(x5031,x5032)+E(f67(x5033,x5034,x5031,x5035,x5036),f67(x5033,x5034,x5032,x5035,x5036)) % 192.26/192.35 [504]~E(x5041,x5042)+E(f67(x5043,x5044,x5045,x5041,x5046),f67(x5043,x5044,x5045,x5042,x5046)) % 192.26/192.35 [505]~E(x5051,x5052)+E(f67(x5053,x5054,x5055,x5056,x5051),f67(x5053,x5054,x5055,x5056,x5052)) % 192.26/192.35 [506]~E(x5061,x5062)+E(f759(x5061,x5063,x5064,x5065,x5066,x5067),f759(x5062,x5063,x5064,x5065,x5066,x5067)) % 192.26/192.35 [507]~E(x5071,x5072)+E(f759(x5073,x5071,x5074,x5075,x5076,x5077),f759(x5073,x5072,x5074,x5075,x5076,x5077)) % 192.26/192.35 [508]~E(x5081,x5082)+E(f759(x5083,x5084,x5081,x5085,x5086,x5087),f759(x5083,x5084,x5082,x5085,x5086,x5087)) % 192.26/192.35 [509]~E(x5091,x5092)+E(f759(x5093,x5094,x5095,x5091,x5096,x5097),f759(x5093,x5094,x5095,x5092,x5096,x5097)) % 192.26/192.35 [510]~E(x5101,x5102)+E(f759(x5103,x5104,x5105,x5106,x5101,x5107),f759(x5103,x5104,x5105,x5106,x5102,x5107)) % 192.26/192.35 [511]~E(x5111,x5112)+E(f759(x5113,x5114,x5115,x5116,x5117,x5111),f759(x5113,x5114,x5115,x5116,x5117,x5112)) % 192.26/192.35 [512]~E(x5121,x5122)+E(f127(x5121),f127(x5122)) % 192.26/192.35 [513]~E(x5131,x5132)+E(f874(x5131,x5133,x5134,x5135,x5136),f874(x5132,x5133,x5134,x5135,x5136)) % 192.26/192.35 [514]~E(x5141,x5142)+E(f874(x5143,x5141,x5144,x5145,x5146),f874(x5143,x5142,x5144,x5145,x5146)) % 192.26/192.35 [515]~E(x5151,x5152)+E(f874(x5153,x5154,x5151,x5155,x5156),f874(x5153,x5154,x5152,x5155,x5156)) % 192.26/192.35 [516]~E(x5161,x5162)+E(f874(x5163,x5164,x5165,x5161,x5166),f874(x5163,x5164,x5165,x5162,x5166)) % 192.26/192.35 [517]~E(x5171,x5172)+E(f874(x5173,x5174,x5175,x5176,x5171),f874(x5173,x5174,x5175,x5176,x5172)) % 192.26/192.35 [518]~E(x5181,x5182)+E(f47(x5181,x5183),f47(x5182,x5183)) % 192.26/192.35 [519]~E(x5191,x5192)+E(f47(x5193,x5191),f47(x5193,x5192)) % 192.26/192.35 [520]~E(x5201,x5202)+E(f56(x5201,x5203,x5204),f56(x5202,x5203,x5204)) % 192.26/192.35 [521]~E(x5211,x5212)+E(f56(x5213,x5211,x5214),f56(x5213,x5212,x5214)) % 192.26/192.35 [522]~E(x5221,x5222)+E(f56(x5223,x5224,x5221),f56(x5223,x5224,x5222)) % 192.26/192.35 [523]~E(x5231,x5232)+E(f254(x5231,x5233),f254(x5232,x5233)) % 192.26/192.35 [524]~E(x5241,x5242)+E(f254(x5243,x5241),f254(x5243,x5242)) % 192.26/192.35 [525]~E(x5251,x5252)+E(f166(x5251,x5253),f166(x5252,x5253)) % 192.26/192.35 [526]~E(x5261,x5262)+E(f166(x5263,x5261),f166(x5263,x5262)) % 192.26/192.35 [527]~E(x5271,x5272)+E(f9(x5271,x5273),f9(x5272,x5273)) % 192.26/192.35 [528]~E(x5281,x5282)+E(f9(x5283,x5281),f9(x5283,x5282)) % 192.26/192.35 [529]~E(x5291,x5292)+E(f267(x5291),f267(x5292)) % 192.26/192.35 [530]~E(x5301,x5302)+E(f55(x5301,x5303),f55(x5302,x5303)) % 192.26/192.35 [531]~E(x5311,x5312)+E(f55(x5313,x5311),f55(x5313,x5312)) % 192.26/192.35 [532]~E(x5321,x5322)+E(f283(x5321),f283(x5322)) % 192.26/192.35 [533]~E(x5331,x5332)+E(f42(x5331,x5333),f42(x5332,x5333)) % 192.26/192.35 [534]~E(x5341,x5342)+E(f42(x5343,x5341),f42(x5343,x5342)) % 192.26/192.35 [535]~E(x5351,x5352)+E(f467(x5351,x5353,x5354),f467(x5352,x5353,x5354)) % 192.26/192.35 [536]~E(x5361,x5362)+E(f467(x5363,x5361,x5364),f467(x5363,x5362,x5364)) % 192.26/192.35 [537]~E(x5371,x5372)+E(f467(x5373,x5374,x5371),f467(x5373,x5374,x5372)) % 192.26/192.35 [538]~E(x5381,x5382)+E(f488(x5381,x5383,x5384),f488(x5382,x5383,x5384)) % 192.26/192.35 [539]~E(x5391,x5392)+E(f488(x5393,x5391,x5394),f488(x5393,x5392,x5394)) % 192.26/192.35 [540]~E(x5401,x5402)+E(f488(x5403,x5404,x5401),f488(x5403,x5404,x5402)) % 192.26/192.35 [541]~E(x5411,x5412)+E(f592(x5411,x5413,x5414,x5415),f592(x5412,x5413,x5414,x5415)) % 192.26/192.35 [542]~E(x5421,x5422)+E(f592(x5423,x5421,x5424,x5425),f592(x5423,x5422,x5424,x5425)) % 192.26/192.35 [543]~E(x5431,x5432)+E(f592(x5433,x5434,x5431,x5435),f592(x5433,x5434,x5432,x5435)) % 192.26/192.35 [544]~E(x5441,x5442)+E(f592(x5443,x5444,x5445,x5441),f592(x5443,x5444,x5445,x5442)) % 192.26/192.35 [545]~E(x5451,x5452)+E(f332(x5451,x5453),f332(x5452,x5453)) % 192.26/192.35 [546]~E(x5461,x5462)+E(f332(x5463,x5461),f332(x5463,x5462)) % 192.26/192.35 [547]~E(x5471,x5472)+E(f89(x5471,x5473),f89(x5472,x5473)) % 192.26/192.35 [548]~E(x5481,x5482)+E(f89(x5483,x5481),f89(x5483,x5482)) % 192.26/192.35 [549]~E(x5491,x5492)+E(f288(x5491,x5493,x5494,x5495),f288(x5492,x5493,x5494,x5495)) % 192.26/192.35 [550]~E(x5501,x5502)+E(f288(x5503,x5501,x5504,x5505),f288(x5503,x5502,x5504,x5505)) % 192.26/192.35 [551]~E(x5511,x5512)+E(f288(x5513,x5514,x5511,x5515),f288(x5513,x5514,x5512,x5515)) % 192.26/192.35 [552]~E(x5521,x5522)+E(f288(x5523,x5524,x5525,x5521),f288(x5523,x5524,x5525,x5522)) % 192.26/192.35 [553]~E(x5531,x5532)+E(f891(x5531,x5533,x5534,x5535,x5536),f891(x5532,x5533,x5534,x5535,x5536)) % 192.26/192.35 [554]~E(x5541,x5542)+E(f891(x5543,x5541,x5544,x5545,x5546),f891(x5543,x5542,x5544,x5545,x5546)) % 192.26/192.35 [555]~E(x5551,x5552)+E(f891(x5553,x5554,x5551,x5555,x5556),f891(x5553,x5554,x5552,x5555,x5556)) % 192.26/192.35 [556]~E(x5561,x5562)+E(f891(x5563,x5564,x5565,x5561,x5566),f891(x5563,x5564,x5565,x5562,x5566)) % 192.26/192.35 [557]~E(x5571,x5572)+E(f891(x5573,x5574,x5575,x5576,x5571),f891(x5573,x5574,x5575,x5576,x5572)) % 192.26/192.35 [558]~E(x5581,x5582)+E(f249(x5581),f249(x5582)) % 192.26/192.35 [559]~E(x5591,x5592)+E(f738(x5591),f738(x5592)) % 192.26/192.35 [560]~E(x5601,x5602)+E(f661(x5601,x5603,x5604),f661(x5602,x5603,x5604)) % 192.26/192.35 [561]~E(x5611,x5612)+E(f661(x5613,x5611,x5614),f661(x5613,x5612,x5614)) % 192.26/192.35 [562]~E(x5621,x5622)+E(f661(x5623,x5624,x5621),f661(x5623,x5624,x5622)) % 192.26/192.35 [563]~E(x5631,x5632)+E(f390(x5631,x5633,x5634,x5635,x5636,x5637),f390(x5632,x5633,x5634,x5635,x5636,x5637)) % 192.26/192.35 [564]~E(x5641,x5642)+E(f390(x5643,x5641,x5644,x5645,x5646,x5647),f390(x5643,x5642,x5644,x5645,x5646,x5647)) % 192.26/192.35 [565]~E(x5651,x5652)+E(f390(x5653,x5654,x5651,x5655,x5656,x5657),f390(x5653,x5654,x5652,x5655,x5656,x5657)) % 192.26/192.35 [566]~E(x5661,x5662)+E(f390(x5663,x5664,x5665,x5661,x5666,x5667),f390(x5663,x5664,x5665,x5662,x5666,x5667)) % 192.26/192.35 [567]~E(x5671,x5672)+E(f390(x5673,x5674,x5675,x5676,x5671,x5677),f390(x5673,x5674,x5675,x5676,x5672,x5677)) % 192.26/192.35 [568]~E(x5681,x5682)+E(f390(x5683,x5684,x5685,x5686,x5687,x5681),f390(x5683,x5684,x5685,x5686,x5687,x5682)) % 192.26/192.35 [569]~E(x5691,x5692)+E(f489(x5691,x5693,x5694,x5695),f489(x5692,x5693,x5694,x5695)) % 192.26/192.35 [570]~E(x5701,x5702)+E(f489(x5703,x5701,x5704,x5705),f489(x5703,x5702,x5704,x5705)) % 192.26/192.35 [571]~E(x5711,x5712)+E(f489(x5713,x5714,x5711,x5715),f489(x5713,x5714,x5712,x5715)) % 192.26/192.35 [572]~E(x5721,x5722)+E(f489(x5723,x5724,x5725,x5721),f489(x5723,x5724,x5725,x5722)) % 192.26/192.35 [573]~E(x5731,x5732)+E(f410(x5731,x5733,x5734),f410(x5732,x5733,x5734)) % 192.26/192.35 [574]~E(x5741,x5742)+E(f410(x5743,x5741,x5744),f410(x5743,x5742,x5744)) % 192.26/192.35 [575]~E(x5751,x5752)+E(f410(x5753,x5754,x5751),f410(x5753,x5754,x5752)) % 192.26/192.35 [576]~E(x5761,x5762)+E(f732(x5761,x5763,x5764,x5765),f732(x5762,x5763,x5764,x5765)) % 192.26/192.35 [577]~E(x5771,x5772)+E(f732(x5773,x5771,x5774,x5775),f732(x5773,x5772,x5774,x5775)) % 192.26/192.35 [578]~E(x5781,x5782)+E(f732(x5783,x5784,x5781,x5785),f732(x5783,x5784,x5782,x5785)) % 192.26/192.35 [579]~E(x5791,x5792)+E(f732(x5793,x5794,x5795,x5791),f732(x5793,x5794,x5795,x5792)) % 192.26/192.35 [580]~E(x5801,x5802)+E(f549(x5801,x5803,x5804),f549(x5802,x5803,x5804)) % 192.26/192.35 [581]~E(x5811,x5812)+E(f549(x5813,x5811,x5814),f549(x5813,x5812,x5814)) % 192.26/192.35 [582]~E(x5821,x5822)+E(f549(x5823,x5824,x5821),f549(x5823,x5824,x5822)) % 192.26/192.35 [583]~E(x5831,x5832)+E(f806(x5831,x5833,x5834),f806(x5832,x5833,x5834)) % 192.26/192.35 [584]~E(x5841,x5842)+E(f806(x5843,x5841,x5844),f806(x5843,x5842,x5844)) % 192.26/192.35 [585]~E(x5851,x5852)+E(f806(x5853,x5854,x5851),f806(x5853,x5854,x5852)) % 192.26/192.35 [586]~E(x5861,x5862)+E(f259(x5861,x5863,x5864),f259(x5862,x5863,x5864)) % 192.26/192.35 [587]~E(x5871,x5872)+E(f259(x5873,x5871,x5874),f259(x5873,x5872,x5874)) % 192.26/192.35 [588]~E(x5881,x5882)+E(f259(x5883,x5884,x5881),f259(x5883,x5884,x5882)) % 192.26/192.35 [589]~E(x5891,x5892)+E(f849(x5891,x5893,x5894),f849(x5892,x5893,x5894)) % 192.26/192.35 [590]~E(x5901,x5902)+E(f849(x5903,x5901,x5904),f849(x5903,x5902,x5904)) % 192.26/192.35 [591]~E(x5911,x5912)+E(f849(x5913,x5914,x5911),f849(x5913,x5914,x5912)) % 192.26/192.35 [592]~E(x5921,x5922)+E(f222(x5921,x5923,x5924,x5925,x5926),f222(x5922,x5923,x5924,x5925,x5926)) % 192.26/192.35 [593]~E(x5931,x5932)+E(f222(x5933,x5931,x5934,x5935,x5936),f222(x5933,x5932,x5934,x5935,x5936)) % 192.26/192.35 [594]~E(x5941,x5942)+E(f222(x5943,x5944,x5941,x5945,x5946),f222(x5943,x5944,x5942,x5945,x5946)) % 192.26/192.35 [595]~E(x5951,x5952)+E(f222(x5953,x5954,x5955,x5951,x5956),f222(x5953,x5954,x5955,x5952,x5956)) % 192.26/192.35 [596]~E(x5961,x5962)+E(f222(x5963,x5964,x5965,x5966,x5961),f222(x5963,x5964,x5965,x5966,x5962)) % 192.26/192.35 [597]~E(x5971,x5972)+E(f789(x5971,x5973,x5974,x5975),f789(x5972,x5973,x5974,x5975)) % 192.26/192.35 [598]~E(x5981,x5982)+E(f789(x5983,x5981,x5984,x5985),f789(x5983,x5982,x5984,x5985)) % 192.26/192.35 [599]~E(x5991,x5992)+E(f789(x5993,x5994,x5991,x5995),f789(x5993,x5994,x5992,x5995)) % 192.26/192.35 [600]~E(x6001,x6002)+E(f789(x6003,x6004,x6005,x6001),f789(x6003,x6004,x6005,x6002)) % 192.26/192.35 [601]~E(x6011,x6012)+E(f116(x6011),f116(x6012)) % 192.26/192.35 [602]~E(x6021,x6022)+E(f51(x6021,x6023),f51(x6022,x6023)) % 192.26/192.35 [603]~E(x6031,x6032)+E(f51(x6033,x6031),f51(x6033,x6032)) % 192.26/192.35 [604]~E(x6041,x6042)+E(f147(x6041,x6043),f147(x6042,x6043)) % 192.26/192.35 [605]~E(x6051,x6052)+E(f147(x6053,x6051),f147(x6053,x6052)) % 192.26/192.35 [606]~E(x6061,x6062)+E(f248(x6061),f248(x6062)) % 192.26/192.35 [607]~E(x6071,x6072)+E(f550(x6071,x6073,x6074),f550(x6072,x6073,x6074)) % 192.26/192.35 [608]~E(x6081,x6082)+E(f550(x6083,x6081,x6084),f550(x6083,x6082,x6084)) % 192.26/192.35 [609]~E(x6091,x6092)+E(f550(x6093,x6094,x6091),f550(x6093,x6094,x6092)) % 192.26/192.35 [610]~E(x6101,x6102)+E(f850(x6101,x6103,x6104),f850(x6102,x6103,x6104)) % 192.26/192.35 [611]~E(x6111,x6112)+E(f850(x6113,x6111,x6114),f850(x6113,x6112,x6114)) % 192.26/192.35 [612]~E(x6121,x6122)+E(f850(x6123,x6124,x6121),f850(x6123,x6124,x6122)) % 192.26/192.35 [613]~E(x6131,x6132)+E(f367(x6131,x6133,x6134,x6135),f367(x6132,x6133,x6134,x6135)) % 192.26/192.35 [614]~E(x6141,x6142)+E(f367(x6143,x6141,x6144,x6145),f367(x6143,x6142,x6144,x6145)) % 192.26/192.35 [615]~E(x6151,x6152)+E(f367(x6153,x6154,x6151,x6155),f367(x6153,x6154,x6152,x6155)) % 192.26/192.35 [616]~E(x6161,x6162)+E(f367(x6163,x6164,x6165,x6161),f367(x6163,x6164,x6165,x6162)) % 192.26/192.35 [617]~E(x6171,x6172)+E(f76(x6171,x6173,x6174,x6175,x6176),f76(x6172,x6173,x6174,x6175,x6176)) % 192.26/192.35 [618]~E(x6181,x6182)+E(f76(x6183,x6181,x6184,x6185,x6186),f76(x6183,x6182,x6184,x6185,x6186)) % 192.26/192.35 [619]~E(x6191,x6192)+E(f76(x6193,x6194,x6191,x6195,x6196),f76(x6193,x6194,x6192,x6195,x6196)) % 192.26/192.35 [620]~E(x6201,x6202)+E(f76(x6203,x6204,x6205,x6201,x6206),f76(x6203,x6204,x6205,x6202,x6206)) % 192.26/192.35 [621]~E(x6211,x6212)+E(f76(x6213,x6214,x6215,x6216,x6211),f76(x6213,x6214,x6215,x6216,x6212)) % 192.26/192.35 [622]~E(x6221,x6222)+E(f564(x6221,x6223,x6224,x6225,x6226),f564(x6222,x6223,x6224,x6225,x6226)) % 192.26/192.35 [623]~E(x6231,x6232)+E(f564(x6233,x6231,x6234,x6235,x6236),f564(x6233,x6232,x6234,x6235,x6236)) % 192.26/192.35 [624]~E(x6241,x6242)+E(f564(x6243,x6244,x6241,x6245,x6246),f564(x6243,x6244,x6242,x6245,x6246)) % 192.26/192.35 [625]~E(x6251,x6252)+E(f564(x6253,x6254,x6255,x6251,x6256),f564(x6253,x6254,x6255,x6252,x6256)) % 192.26/192.35 [626]~E(x6261,x6262)+E(f564(x6263,x6264,x6265,x6266,x6261),f564(x6263,x6264,x6265,x6266,x6262)) % 192.26/192.35 [627]~E(x6271,x6272)+E(f326(x6271,x6273),f326(x6272,x6273)) % 192.26/192.35 [628]~E(x6281,x6282)+E(f326(x6283,x6281),f326(x6283,x6282)) % 192.26/192.35 [629]~E(x6291,x6292)+E(f839(x6291,x6293,x6294),f839(x6292,x6293,x6294)) % 192.26/192.35 [630]~E(x6301,x6302)+E(f839(x6303,x6301,x6304),f839(x6303,x6302,x6304)) % 192.26/192.35 [631]~E(x6311,x6312)+E(f839(x6313,x6314,x6311),f839(x6313,x6314,x6312)) % 192.26/192.35 [632]~E(x6321,x6322)+E(f64(x6321,x6323),f64(x6322,x6323)) % 192.26/192.35 [633]~E(x6331,x6332)+E(f64(x6333,x6331),f64(x6333,x6332)) % 192.26/192.35 [634]~E(x6341,x6342)+E(f672(x6341,x6343,x6344),f672(x6342,x6343,x6344)) % 192.26/192.35 [635]~E(x6351,x6352)+E(f672(x6353,x6351,x6354),f672(x6353,x6352,x6354)) % 192.26/192.35 [636]~E(x6361,x6362)+E(f672(x6363,x6364,x6361),f672(x6363,x6364,x6362)) % 192.26/192.35 [637]~E(x6371,x6372)+E(f438(x6371,x6373,x6374),f438(x6372,x6373,x6374)) % 192.26/192.35 [638]~E(x6381,x6382)+E(f438(x6383,x6381,x6384),f438(x6383,x6382,x6384)) % 192.26/192.35 [639]~E(x6391,x6392)+E(f438(x6393,x6394,x6391),f438(x6393,x6394,x6392)) % 192.26/192.35 [640]~E(x6401,x6402)+E(f471(x6401,x6403,x6404),f471(x6402,x6403,x6404)) % 192.26/192.35 [641]~E(x6411,x6412)+E(f471(x6413,x6411,x6414),f471(x6413,x6412,x6414)) % 192.26/192.35 [642]~E(x6421,x6422)+E(f471(x6423,x6424,x6421),f471(x6423,x6424,x6422)) % 192.26/192.35 [643]~E(x6431,x6432)+E(f552(x6431,x6433,x6434),f552(x6432,x6433,x6434)) % 192.26/192.35 [644]~E(x6441,x6442)+E(f552(x6443,x6441,x6444),f552(x6443,x6442,x6444)) % 192.26/192.35 [645]~E(x6451,x6452)+E(f552(x6453,x6454,x6451),f552(x6453,x6454,x6452)) % 192.26/192.35 [646]~E(x6461,x6462)+E(f630(x6461,x6463,x6464,x6465,x6466,x6467,x6468,x6469),f630(x6462,x6463,x6464,x6465,x6466,x6467,x6468,x6469)) % 192.26/192.35 [647]~E(x6471,x6472)+E(f630(x6473,x6471,x6474,x6475,x6476,x6477,x6478,x6479),f630(x6473,x6472,x6474,x6475,x6476,x6477,x6478,x6479)) % 192.26/192.35 [648]~E(x6481,x6482)+E(f630(x6483,x6484,x6481,x6485,x6486,x6487,x6488,x6489),f630(x6483,x6484,x6482,x6485,x6486,x6487,x6488,x6489)) % 192.26/192.35 [649]~E(x6491,x6492)+E(f630(x6493,x6494,x6495,x6491,x6496,x6497,x6498,x6499),f630(x6493,x6494,x6495,x6492,x6496,x6497,x6498,x6499)) % 192.26/192.35 [650]~E(x6501,x6502)+E(f630(x6503,x6504,x6505,x6506,x6501,x6507,x6508,x6509),f630(x6503,x6504,x6505,x6506,x6502,x6507,x6508,x6509)) % 192.26/192.35 [651]~E(x6511,x6512)+E(f630(x6513,x6514,x6515,x6516,x6517,x6511,x6518,x6519),f630(x6513,x6514,x6515,x6516,x6517,x6512,x6518,x6519)) % 192.26/192.35 [652]~E(x6521,x6522)+E(f630(x6523,x6524,x6525,x6526,x6527,x6528,x6521,x6529),f630(x6523,x6524,x6525,x6526,x6527,x6528,x6522,x6529)) % 192.26/192.35 [653]~E(x6531,x6532)+E(f630(x6533,x6534,x6535,x6536,x6537,x6538,x6539,x6531),f630(x6533,x6534,x6535,x6536,x6537,x6538,x6539,x6532)) % 192.26/192.35 [654]~E(x6541,x6542)+E(f198(x6541,x6543),f198(x6542,x6543)) % 192.26/192.35 [655]~E(x6551,x6552)+E(f198(x6553,x6551),f198(x6553,x6552)) % 192.26/192.35 [656]~E(x6561,x6562)+E(f85(x6561,x6563),f85(x6562,x6563)) % 192.26/192.35 [657]~E(x6571,x6572)+E(f85(x6573,x6571),f85(x6573,x6572)) % 192.26/192.35 [658]~E(x6581,x6582)+E(f870(x6581,x6583,x6584,x6585),f870(x6582,x6583,x6584,x6585)) % 192.26/192.35 [659]~E(x6591,x6592)+E(f870(x6593,x6591,x6594,x6595),f870(x6593,x6592,x6594,x6595)) % 192.26/192.35 [660]~E(x6601,x6602)+E(f870(x6603,x6604,x6601,x6605),f870(x6603,x6604,x6602,x6605)) % 192.26/192.35 [661]~E(x6611,x6612)+E(f870(x6613,x6614,x6615,x6611),f870(x6613,x6614,x6615,x6612)) % 192.26/192.35 [662]~E(x6621,x6622)+E(f840(x6621,x6623,x6624),f840(x6622,x6623,x6624)) % 192.26/192.35 [663]~E(x6631,x6632)+E(f840(x6633,x6631,x6634),f840(x6633,x6632,x6634)) % 192.26/192.35 [664]~E(x6641,x6642)+E(f840(x6643,x6644,x6641),f840(x6643,x6644,x6642)) % 192.26/192.35 [665]~E(x6651,x6652)+E(f215(x6651,x6653),f215(x6652,x6653)) % 192.26/192.35 [666]~E(x6661,x6662)+E(f215(x6663,x6661),f215(x6663,x6662)) % 192.26/192.35 [667]~E(x6671,x6672)+E(f635(x6671,x6673,x6674),f635(x6672,x6673,x6674)) % 192.26/192.35 [668]~E(x6681,x6682)+E(f635(x6683,x6681,x6684),f635(x6683,x6682,x6684)) % 192.26/192.35 [669]~E(x6691,x6692)+E(f635(x6693,x6694,x6691),f635(x6693,x6694,x6692)) % 192.26/192.35 [670]~E(x6701,x6702)+E(f282(x6701,x6703,x6704,x6705),f282(x6702,x6703,x6704,x6705)) % 192.26/192.35 [671]~E(x6711,x6712)+E(f282(x6713,x6711,x6714,x6715),f282(x6713,x6712,x6714,x6715)) % 192.26/192.35 [672]~E(x6721,x6722)+E(f282(x6723,x6724,x6721,x6725),f282(x6723,x6724,x6722,x6725)) % 192.26/192.35 [673]~E(x6731,x6732)+E(f282(x6733,x6734,x6735,x6731),f282(x6733,x6734,x6735,x6732)) % 192.26/192.35 [674]~E(x6741,x6742)+E(f717(x6741,x6743),f717(x6742,x6743)) % 192.26/192.35 [675]~E(x6751,x6752)+E(f717(x6753,x6751),f717(x6753,x6752)) % 192.26/192.35 [676]~E(x6761,x6762)+E(f691(x6761,x6763,x6764),f691(x6762,x6763,x6764)) % 192.26/192.35 [677]~E(x6771,x6772)+E(f691(x6773,x6771,x6774),f691(x6773,x6772,x6774)) % 192.26/192.35 [678]~E(x6781,x6782)+E(f691(x6783,x6784,x6781),f691(x6783,x6784,x6782)) % 192.26/192.35 [679]~E(x6791,x6792)+E(f847(x6791,x6793,x6794),f847(x6792,x6793,x6794)) % 192.26/192.35 [680]~E(x6801,x6802)+E(f847(x6803,x6801,x6804),f847(x6803,x6802,x6804)) % 192.26/192.35 [681]~E(x6811,x6812)+E(f847(x6813,x6814,x6811),f847(x6813,x6814,x6812)) % 192.26/192.35 [682]~E(x6821,x6822)+E(f239(x6821,x6823),f239(x6822,x6823)) % 192.26/192.35 [683]~E(x6831,x6832)+E(f239(x6833,x6831),f239(x6833,x6832)) % 192.26/192.35 [684]~E(x6841,x6842)+E(f456(x6841),f456(x6842)) % 192.26/192.35 [685]~E(x6851,x6852)+E(f178(x6851,x6853,x6854,x6855),f178(x6852,x6853,x6854,x6855)) % 192.26/192.35 [686]~E(x6861,x6862)+E(f178(x6863,x6861,x6864,x6865),f178(x6863,x6862,x6864,x6865)) % 192.26/192.35 [687]~E(x6871,x6872)+E(f178(x6873,x6874,x6871,x6875),f178(x6873,x6874,x6872,x6875)) % 192.26/192.35 [688]~E(x6881,x6882)+E(f178(x6883,x6884,x6885,x6881),f178(x6883,x6884,x6885,x6882)) % 192.26/192.35 [689]~E(x6891,x6892)+E(f763(x6891,x6893),f763(x6892,x6893)) % 192.26/192.35 [690]~E(x6901,x6902)+E(f763(x6903,x6901),f763(x6903,x6902)) % 192.26/192.35 [691]~E(x6911,x6912)+E(f706(x6911,x6913),f706(x6912,x6913)) % 192.26/192.35 [692]~E(x6921,x6922)+E(f706(x6923,x6921),f706(x6923,x6922)) % 192.26/192.35 [693]~E(x6931,x6932)+E(f172(x6931,x6933,x6934,x6935),f172(x6932,x6933,x6934,x6935)) % 192.26/192.35 [694]~E(x6941,x6942)+E(f172(x6943,x6941,x6944,x6945),f172(x6943,x6942,x6944,x6945)) % 192.26/192.35 [695]~E(x6951,x6952)+E(f172(x6953,x6954,x6951,x6955),f172(x6953,x6954,x6952,x6955)) % 192.26/192.35 [696]~E(x6961,x6962)+E(f172(x6963,x6964,x6965,x6961),f172(x6963,x6964,x6965,x6962)) % 192.26/192.35 [697]~E(x6971,x6972)+E(f478(x6971,x6973,x6974,x6975,x6976),f478(x6972,x6973,x6974,x6975,x6976)) % 192.26/192.35 [698]~E(x6981,x6982)+E(f478(x6983,x6981,x6984,x6985,x6986),f478(x6983,x6982,x6984,x6985,x6986)) % 192.26/192.35 [699]~E(x6991,x6992)+E(f478(x6993,x6994,x6991,x6995,x6996),f478(x6993,x6994,x6992,x6995,x6996)) % 192.26/192.35 [700]~E(x7001,x7002)+E(f478(x7003,x7004,x7005,x7001,x7006),f478(x7003,x7004,x7005,x7002,x7006)) % 192.26/192.35 [701]~E(x7011,x7012)+E(f478(x7013,x7014,x7015,x7016,x7011),f478(x7013,x7014,x7015,x7016,x7012)) % 192.26/192.35 [702]~E(x7021,x7022)+E(f134(x7021,x7023),f134(x7022,x7023)) % 192.26/192.35 [703]~E(x7031,x7032)+E(f134(x7033,x7031),f134(x7033,x7032)) % 192.26/192.35 [704]~E(x7041,x7042)+E(f238(x7041,x7043),f238(x7042,x7043)) % 192.26/192.35 [705]~E(x7051,x7052)+E(f238(x7053,x7051),f238(x7053,x7052)) % 192.26/192.35 [706]~E(x7061,x7062)+E(f63(x7061,x7063,x7064),f63(x7062,x7063,x7064)) % 192.26/192.35 [707]~E(x7071,x7072)+E(f63(x7073,x7071,x7074),f63(x7073,x7072,x7074)) % 192.26/192.35 [708]~E(x7081,x7082)+E(f63(x7083,x7084,x7081),f63(x7083,x7084,x7082)) % 192.26/192.35 [709]~E(x7091,x7092)+E(f544(x7091,x7093,x7094),f544(x7092,x7093,x7094)) % 192.26/192.35 [710]~E(x7101,x7102)+E(f544(x7103,x7101,x7104),f544(x7103,x7102,x7104)) % 192.26/192.35 [711]~E(x7111,x7112)+E(f544(x7113,x7114,x7111),f544(x7113,x7114,x7112)) % 192.26/192.35 [712]~E(x7121,x7122)+E(f310(x7121,x7123,x7124,x7125,x7126,x7127),f310(x7122,x7123,x7124,x7125,x7126,x7127)) % 192.26/192.35 [713]~E(x7131,x7132)+E(f310(x7133,x7131,x7134,x7135,x7136,x7137),f310(x7133,x7132,x7134,x7135,x7136,x7137)) % 192.26/192.35 [714]~E(x7141,x7142)+E(f310(x7143,x7144,x7141,x7145,x7146,x7147),f310(x7143,x7144,x7142,x7145,x7146,x7147)) % 192.26/192.35 [715]~E(x7151,x7152)+E(f310(x7153,x7154,x7155,x7151,x7156,x7157),f310(x7153,x7154,x7155,x7152,x7156,x7157)) % 192.26/192.35 [716]~E(x7161,x7162)+E(f310(x7163,x7164,x7165,x7166,x7161,x7167),f310(x7163,x7164,x7165,x7166,x7162,x7167)) % 192.26/192.35 [717]~E(x7171,x7172)+E(f310(x7173,x7174,x7175,x7176,x7177,x7171),f310(x7173,x7174,x7175,x7176,x7177,x7172)) % 192.26/192.35 [718]~E(x7181,x7182)+E(f405(x7181,x7183,x7184,x7185,x7186),f405(x7182,x7183,x7184,x7185,x7186)) % 192.26/192.35 [719]~E(x7191,x7192)+E(f405(x7193,x7191,x7194,x7195,x7196),f405(x7193,x7192,x7194,x7195,x7196)) % 192.26/192.35 [720]~E(x7201,x7202)+E(f405(x7203,x7204,x7201,x7205,x7206),f405(x7203,x7204,x7202,x7205,x7206)) % 192.26/192.35 [721]~E(x7211,x7212)+E(f405(x7213,x7214,x7215,x7211,x7216),f405(x7213,x7214,x7215,x7212,x7216)) % 192.26/192.35 [722]~E(x7221,x7222)+E(f405(x7223,x7224,x7225,x7226,x7221),f405(x7223,x7224,x7225,x7226,x7222)) % 192.26/192.35 [723]~E(x7231,x7232)+E(f650(x7231,x7233,x7234,x7235),f650(x7232,x7233,x7234,x7235)) % 192.26/192.35 [724]~E(x7241,x7242)+E(f650(x7243,x7241,x7244,x7245),f650(x7243,x7242,x7244,x7245)) % 192.26/192.35 [725]~E(x7251,x7252)+E(f650(x7253,x7254,x7251,x7255),f650(x7253,x7254,x7252,x7255)) % 192.26/192.35 [726]~E(x7261,x7262)+E(f650(x7263,x7264,x7265,x7261),f650(x7263,x7264,x7265,x7262)) % 192.26/192.35 [727]~E(x7271,x7272)+E(f750(x7271,x7273),f750(x7272,x7273)) % 192.26/192.35 [728]~E(x7281,x7282)+E(f750(x7283,x7281),f750(x7283,x7282)) % 192.26/192.35 [729]~E(x7291,x7292)+E(f543(x7291,x7293,x7294,x7295,x7296),f543(x7292,x7293,x7294,x7295,x7296)) % 192.26/192.35 [730]~E(x7301,x7302)+E(f543(x7303,x7301,x7304,x7305,x7306),f543(x7303,x7302,x7304,x7305,x7306)) % 192.26/192.35 [731]~E(x7311,x7312)+E(f543(x7313,x7314,x7311,x7315,x7316),f543(x7313,x7314,x7312,x7315,x7316)) % 192.26/192.35 [732]~E(x7321,x7322)+E(f543(x7323,x7324,x7325,x7321,x7326),f543(x7323,x7324,x7325,x7322,x7326)) % 192.26/192.35 [733]~E(x7331,x7332)+E(f543(x7333,x7334,x7335,x7336,x7331),f543(x7333,x7334,x7335,x7336,x7332)) % 192.26/192.35 [734]~E(x7341,x7342)+E(f321(x7341,x7343),f321(x7342,x7343)) % 192.26/192.35 [735]~E(x7351,x7352)+E(f321(x7353,x7351),f321(x7353,x7352)) % 192.26/192.35 [736]~E(x7361,x7362)+E(f186(x7361),f186(x7362)) % 192.26/192.35 [737]~E(x7371,x7372)+E(f527(x7371,x7373,x7374),f527(x7372,x7373,x7374)) % 192.26/192.35 [738]~E(x7381,x7382)+E(f527(x7383,x7381,x7384),f527(x7383,x7382,x7384)) % 192.26/192.35 [739]~E(x7391,x7392)+E(f527(x7393,x7394,x7391),f527(x7393,x7394,x7392)) % 192.26/192.35 [740]~E(x7401,x7402)+E(f271(x7401,x7403,x7404),f271(x7402,x7403,x7404)) % 192.26/192.35 [741]~E(x7411,x7412)+E(f271(x7413,x7411,x7414),f271(x7413,x7412,x7414)) % 192.26/192.35 [742]~E(x7421,x7422)+E(f271(x7423,x7424,x7421),f271(x7423,x7424,x7422)) % 192.26/192.35 [743]~E(x7431,x7432)+E(f890(x7431,x7433,x7434,x7435,x7436),f890(x7432,x7433,x7434,x7435,x7436)) % 192.26/192.35 [744]~E(x7441,x7442)+E(f890(x7443,x7441,x7444,x7445,x7446),f890(x7443,x7442,x7444,x7445,x7446)) % 192.26/192.35 [745]~E(x7451,x7452)+E(f890(x7453,x7454,x7451,x7455,x7456),f890(x7453,x7454,x7452,x7455,x7456)) % 192.26/192.35 [746]~E(x7461,x7462)+E(f890(x7463,x7464,x7465,x7461,x7466),f890(x7463,x7464,x7465,x7462,x7466)) % 192.26/192.35 [747]~E(x7471,x7472)+E(f890(x7473,x7474,x7475,x7476,x7471),f890(x7473,x7474,x7475,x7476,x7472)) % 192.26/192.35 [748]~E(x7481,x7482)+E(f192(x7481,x7483),f192(x7482,x7483)) % 192.26/192.35 [749]~E(x7491,x7492)+E(f192(x7493,x7491),f192(x7493,x7492)) % 192.26/192.35 [750]~E(x7501,x7502)+E(f365(x7501,x7503,x7504),f365(x7502,x7503,x7504)) % 192.26/192.35 [751]~E(x7511,x7512)+E(f365(x7513,x7511,x7514),f365(x7513,x7512,x7514)) % 192.26/192.35 [752]~E(x7521,x7522)+E(f365(x7523,x7524,x7521),f365(x7523,x7524,x7522)) % 192.26/192.35 [753]~E(x7531,x7532)+E(f561(x7531,x7533,x7534),f561(x7532,x7533,x7534)) % 192.26/192.35 [754]~E(x7541,x7542)+E(f561(x7543,x7541,x7544),f561(x7543,x7542,x7544)) % 192.26/192.35 [755]~E(x7551,x7552)+E(f561(x7553,x7554,x7551),f561(x7553,x7554,x7552)) % 192.26/192.35 [756]~E(x7561,x7562)+E(f597(x7561,x7563,x7564),f597(x7562,x7563,x7564)) % 192.26/192.35 [757]~E(x7571,x7572)+E(f597(x7573,x7571,x7574),f597(x7573,x7572,x7574)) % 192.26/192.35 [758]~E(x7581,x7582)+E(f597(x7583,x7584,x7581),f597(x7583,x7584,x7582)) % 192.26/192.35 [759]~E(x7591,x7592)+E(f626(x7591,x7593,x7594,x7595,x7596),f626(x7592,x7593,x7594,x7595,x7596)) % 192.26/192.35 [760]~E(x7601,x7602)+E(f626(x7603,x7601,x7604,x7605,x7606),f626(x7603,x7602,x7604,x7605,x7606)) % 192.26/192.35 [761]~E(x7611,x7612)+E(f626(x7613,x7614,x7611,x7615,x7616),f626(x7613,x7614,x7612,x7615,x7616)) % 192.26/192.35 [762]~E(x7621,x7622)+E(f626(x7623,x7624,x7625,x7621,x7626),f626(x7623,x7624,x7625,x7622,x7626)) % 192.26/192.35 [763]~E(x7631,x7632)+E(f626(x7633,x7634,x7635,x7636,x7631),f626(x7633,x7634,x7635,x7636,x7632)) % 192.26/192.35 [764]~E(x7641,x7642)+E(f394(x7641,x7643,x7644),f394(x7642,x7643,x7644)) % 192.26/192.35 [765]~E(x7651,x7652)+E(f394(x7653,x7651,x7654),f394(x7653,x7652,x7654)) % 192.26/192.35 [766]~E(x7661,x7662)+E(f394(x7663,x7664,x7661),f394(x7663,x7664,x7662)) % 192.26/192.35 [767]~E(x7671,x7672)+E(f570(x7671,x7673),f570(x7672,x7673)) % 192.26/192.35 [768]~E(x7681,x7682)+E(f570(x7683,x7681),f570(x7683,x7682)) % 192.26/192.35 [769]~E(x7691,x7692)+E(f858(x7691,x7693,x7694,x7695,x7696),f858(x7692,x7693,x7694,x7695,x7696)) % 192.26/192.35 [770]~E(x7701,x7702)+E(f858(x7703,x7701,x7704,x7705,x7706),f858(x7703,x7702,x7704,x7705,x7706)) % 192.26/192.35 [771]~E(x7711,x7712)+E(f858(x7713,x7714,x7711,x7715,x7716),f858(x7713,x7714,x7712,x7715,x7716)) % 192.26/192.35 [772]~E(x7721,x7722)+E(f858(x7723,x7724,x7725,x7721,x7726),f858(x7723,x7724,x7725,x7722,x7726)) % 192.26/192.35 [773]~E(x7731,x7732)+E(f858(x7733,x7734,x7735,x7736,x7731),f858(x7733,x7734,x7735,x7736,x7732)) % 192.26/192.35 [774]~E(x7741,x7742)+E(f251(x7741,x7743),f251(x7742,x7743)) % 192.26/192.35 [775]~E(x7751,x7752)+E(f251(x7753,x7751),f251(x7753,x7752)) % 192.26/192.35 [776]~E(x7761,x7762)+E(f513(x7761,x7763,x7764,x7765),f513(x7762,x7763,x7764,x7765)) % 192.26/192.35 [777]~E(x7771,x7772)+E(f513(x7773,x7771,x7774,x7775),f513(x7773,x7772,x7774,x7775)) % 192.26/192.35 [778]~E(x7781,x7782)+E(f513(x7783,x7784,x7781,x7785),f513(x7783,x7784,x7782,x7785)) % 192.26/192.35 [779]~E(x7791,x7792)+E(f513(x7793,x7794,x7795,x7791),f513(x7793,x7794,x7795,x7792)) % 192.26/192.35 [780]~E(x7801,x7802)+E(f779(x7801,x7803),f779(x7802,x7803)) % 192.26/192.35 [781]~E(x7811,x7812)+E(f779(x7813,x7811),f779(x7813,x7812)) % 192.26/192.35 [782]~E(x7821,x7822)+E(f887(x7821,x7823,x7824,x7825,x7826),f887(x7822,x7823,x7824,x7825,x7826)) % 192.26/192.35 [783]~E(x7831,x7832)+E(f887(x7833,x7831,x7834,x7835,x7836),f887(x7833,x7832,x7834,x7835,x7836)) % 192.26/192.35 [784]~E(x7841,x7842)+E(f887(x7843,x7844,x7841,x7845,x7846),f887(x7843,x7844,x7842,x7845,x7846)) % 192.26/192.35 [785]~E(x7851,x7852)+E(f887(x7853,x7854,x7855,x7851,x7856),f887(x7853,x7854,x7855,x7852,x7856)) % 192.26/192.35 [786]~E(x7861,x7862)+E(f887(x7863,x7864,x7865,x7866,x7861),f887(x7863,x7864,x7865,x7866,x7862)) % 192.26/192.35 [787]~E(x7871,x7872)+E(f664(x7871,x7873,x7874,x7875),f664(x7872,x7873,x7874,x7875)) % 192.26/192.35 [788]~E(x7881,x7882)+E(f664(x7883,x7881,x7884,x7885),f664(x7883,x7882,x7884,x7885)) % 192.26/192.35 [789]~E(x7891,x7892)+E(f664(x7893,x7894,x7891,x7895),f664(x7893,x7894,x7892,x7895)) % 192.26/192.35 [790]~E(x7901,x7902)+E(f664(x7903,x7904,x7905,x7901),f664(x7903,x7904,x7905,x7902)) % 192.26/192.35 [791]~E(x7911,x7912)+E(f391(x7911),f391(x7912)) % 192.26/192.35 [792]~E(x7921,x7922)+E(f78(x7921,x7923,x7924,x7925,x7926),f78(x7922,x7923,x7924,x7925,x7926)) % 192.26/192.35 [793]~E(x7931,x7932)+E(f78(x7933,x7931,x7934,x7935,x7936),f78(x7933,x7932,x7934,x7935,x7936)) % 192.26/192.35 [794]~E(x7941,x7942)+E(f78(x7943,x7944,x7941,x7945,x7946),f78(x7943,x7944,x7942,x7945,x7946)) % 192.26/192.35 [795]~E(x7951,x7952)+E(f78(x7953,x7954,x7955,x7951,x7956),f78(x7953,x7954,x7955,x7952,x7956)) % 192.26/192.35 [796]~E(x7961,x7962)+E(f78(x7963,x7964,x7965,x7966,x7961),f78(x7963,x7964,x7965,x7966,x7962)) % 192.26/192.35 [797]~E(x7971,x7972)+E(f705(x7971,x7973,x7974),f705(x7972,x7973,x7974)) % 192.26/192.35 [798]~E(x7981,x7982)+E(f705(x7983,x7981,x7984),f705(x7983,x7982,x7984)) % 192.26/192.35 [799]~E(x7991,x7992)+E(f705(x7993,x7994,x7991),f705(x7993,x7994,x7992)) % 192.26/192.35 [800]~E(x8001,x8002)+E(f829(x8001,x8003),f829(x8002,x8003)) % 192.26/192.35 [801]~E(x8011,x8012)+E(f829(x8013,x8011),f829(x8013,x8012)) % 192.26/192.35 [802]~E(x8021,x8022)+E(f384(x8021,x8023),f384(x8022,x8023)) % 192.26/192.35 [803]~E(x8031,x8032)+E(f384(x8033,x8031),f384(x8033,x8032)) % 192.26/192.35 [804]~E(x8041,x8042)+E(f823(x8041,x8043,x8044,x8045,x8046,x8047,x8048),f823(x8042,x8043,x8044,x8045,x8046,x8047,x8048)) % 192.26/192.35 [805]~E(x8051,x8052)+E(f823(x8053,x8051,x8054,x8055,x8056,x8057,x8058),f823(x8053,x8052,x8054,x8055,x8056,x8057,x8058)) % 192.26/192.35 [806]~E(x8061,x8062)+E(f823(x8063,x8064,x8061,x8065,x8066,x8067,x8068),f823(x8063,x8064,x8062,x8065,x8066,x8067,x8068)) % 192.26/192.35 [807]~E(x8071,x8072)+E(f823(x8073,x8074,x8075,x8071,x8076,x8077,x8078),f823(x8073,x8074,x8075,x8072,x8076,x8077,x8078)) % 192.26/192.35 [808]~E(x8081,x8082)+E(f823(x8083,x8084,x8085,x8086,x8081,x8087,x8088),f823(x8083,x8084,x8085,x8086,x8082,x8087,x8088)) % 192.26/192.35 [809]~E(x8091,x8092)+E(f823(x8093,x8094,x8095,x8096,x8097,x8091,x8098),f823(x8093,x8094,x8095,x8096,x8097,x8092,x8098)) % 192.26/192.35 [810]~E(x8101,x8102)+E(f823(x8103,x8104,x8105,x8106,x8107,x8108,x8101),f823(x8103,x8104,x8105,x8106,x8107,x8108,x8102)) % 192.26/192.35 [811]~E(x8111,x8112)+E(f680(x8111,x8113,x8114),f680(x8112,x8113,x8114)) % 192.26/192.35 [812]~E(x8121,x8122)+E(f680(x8123,x8121,x8124),f680(x8123,x8122,x8124)) % 192.26/192.35 [813]~E(x8131,x8132)+E(f680(x8133,x8134,x8131),f680(x8133,x8134,x8132)) % 192.26/192.35 [814]~E(x8141,x8142)+E(f625(x8141,x8143,x8144,x8145,x8146),f625(x8142,x8143,x8144,x8145,x8146)) % 192.26/192.35 [815]~E(x8151,x8152)+E(f625(x8153,x8151,x8154,x8155,x8156),f625(x8153,x8152,x8154,x8155,x8156)) % 192.26/192.35 [816]~E(x8161,x8162)+E(f625(x8163,x8164,x8161,x8165,x8166),f625(x8163,x8164,x8162,x8165,x8166)) % 192.26/192.35 [817]~E(x8171,x8172)+E(f625(x8173,x8174,x8175,x8171,x8176),f625(x8173,x8174,x8175,x8172,x8176)) % 192.26/192.35 [818]~E(x8181,x8182)+E(f625(x8183,x8184,x8185,x8186,x8181),f625(x8183,x8184,x8185,x8186,x8182)) % 192.26/192.35 [819]~E(x8191,x8192)+E(f637(x8191,x8193,x8194),f637(x8192,x8193,x8194)) % 192.26/192.35 [820]~E(x8201,x8202)+E(f637(x8203,x8201,x8204),f637(x8203,x8202,x8204)) % 192.26/192.35 [821]~E(x8211,x8212)+E(f637(x8213,x8214,x8211),f637(x8213,x8214,x8212)) % 192.26/192.35 [822]~E(x8221,x8222)+E(f742(x8221,x8223),f742(x8222,x8223)) % 192.26/192.35 [823]~E(x8231,x8232)+E(f742(x8233,x8231),f742(x8233,x8232)) % 192.26/192.35 [824]~E(x8241,x8242)+E(f425(x8241,x8243,x8244,x8245,x8246,x8247),f425(x8242,x8243,x8244,x8245,x8246,x8247)) % 192.26/192.35 [825]~E(x8251,x8252)+E(f425(x8253,x8251,x8254,x8255,x8256,x8257),f425(x8253,x8252,x8254,x8255,x8256,x8257)) % 192.26/192.35 [826]~E(x8261,x8262)+E(f425(x8263,x8264,x8261,x8265,x8266,x8267),f425(x8263,x8264,x8262,x8265,x8266,x8267)) % 192.26/192.35 [827]~E(x8271,x8272)+E(f425(x8273,x8274,x8275,x8271,x8276,x8277),f425(x8273,x8274,x8275,x8272,x8276,x8277)) % 192.26/192.35 [828]~E(x8281,x8282)+E(f425(x8283,x8284,x8285,x8286,x8281,x8287),f425(x8283,x8284,x8285,x8286,x8282,x8287)) % 192.26/192.35 [829]~E(x8291,x8292)+E(f425(x8293,x8294,x8295,x8296,x8297,x8291),f425(x8293,x8294,x8295,x8296,x8297,x8292)) % 192.26/192.35 [830]~E(x8301,x8302)+E(f201(x8301,x8303,x8304),f201(x8302,x8303,x8304)) % 192.26/192.35 [831]~E(x8311,x8312)+E(f201(x8313,x8311,x8314),f201(x8313,x8312,x8314)) % 192.26/192.35 [832]~E(x8321,x8322)+E(f201(x8323,x8324,x8321),f201(x8323,x8324,x8322)) % 192.26/192.35 [833]~E(x8331,x8332)+E(f441(x8331,x8333),f441(x8332,x8333)) % 192.26/192.35 [834]~E(x8341,x8342)+E(f441(x8343,x8341),f441(x8343,x8342)) % 192.26/192.35 [835]~E(x8351,x8352)+E(f203(x8351,x8353,x8354,x8355),f203(x8352,x8353,x8354,x8355)) % 192.26/192.35 [836]~E(x8361,x8362)+E(f203(x8363,x8361,x8364,x8365),f203(x8363,x8362,x8364,x8365)) % 192.26/192.35 [837]~E(x8371,x8372)+E(f203(x8373,x8374,x8371,x8375),f203(x8373,x8374,x8372,x8375)) % 192.26/192.35 [838]~E(x8381,x8382)+E(f203(x8383,x8384,x8385,x8381),f203(x8383,x8384,x8385,x8382)) % 192.26/192.35 [839]~E(x8391,x8392)+E(f427(x8391,x8393,x8394),f427(x8392,x8393,x8394)) % 192.26/192.35 [840]~E(x8401,x8402)+E(f427(x8403,x8401,x8404),f427(x8403,x8402,x8404)) % 192.26/192.35 [841]~E(x8411,x8412)+E(f427(x8413,x8414,x8411),f427(x8413,x8414,x8412)) % 192.26/192.35 [842]~E(x8421,x8422)+E(f189(x8421),f189(x8422)) % 192.26/192.35 [843]~E(x8431,x8432)+E(f237(x8431,x8433,x8434,x8435),f237(x8432,x8433,x8434,x8435)) % 192.26/192.35 [844]~E(x8441,x8442)+E(f237(x8443,x8441,x8444,x8445),f237(x8443,x8442,x8444,x8445)) % 192.26/192.35 [845]~E(x8451,x8452)+E(f237(x8453,x8454,x8451,x8455),f237(x8453,x8454,x8452,x8455)) % 192.26/192.35 [846]~E(x8461,x8462)+E(f237(x8463,x8464,x8465,x8461),f237(x8463,x8464,x8465,x8462)) % 192.26/192.35 [847]~E(x8471,x8472)+E(f670(x8471,x8473,x8474),f670(x8472,x8473,x8474)) % 192.26/192.35 [848]~E(x8481,x8482)+E(f670(x8483,x8481,x8484),f670(x8483,x8482,x8484)) % 192.26/192.35 [849]~E(x8491,x8492)+E(f670(x8493,x8494,x8491),f670(x8493,x8494,x8492)) % 192.26/192.35 [850]~E(x8501,x8502)+E(f350(x8501,x8503,x8504,x8505),f350(x8502,x8503,x8504,x8505)) % 192.26/192.35 [851]~E(x8511,x8512)+E(f350(x8513,x8511,x8514,x8515),f350(x8513,x8512,x8514,x8515)) % 192.26/192.35 [852]~E(x8521,x8522)+E(f350(x8523,x8524,x8521,x8525),f350(x8523,x8524,x8522,x8525)) % 192.26/192.35 [853]~E(x8531,x8532)+E(f350(x8533,x8534,x8535,x8531),f350(x8533,x8534,x8535,x8532)) % 192.26/192.35 [854]~E(x8541,x8542)+E(f720(x8541,x8543,x8544,x8545),f720(x8542,x8543,x8544,x8545)) % 192.26/192.35 [855]~E(x8551,x8552)+E(f720(x8553,x8551,x8554,x8555),f720(x8553,x8552,x8554,x8555)) % 192.26/192.35 [856]~E(x8561,x8562)+E(f720(x8563,x8564,x8561,x8565),f720(x8563,x8564,x8562,x8565)) % 192.26/192.35 [857]~E(x8571,x8572)+E(f720(x8573,x8574,x8575,x8571),f720(x8573,x8574,x8575,x8572)) % 192.26/192.35 [858]~E(x8581,x8582)+E(f173(x8581),f173(x8582)) % 192.26/192.35 [859]~E(x8591,x8592)+E(f243(x8591,x8593),f243(x8592,x8593)) % 192.26/192.35 [860]~E(x8601,x8602)+E(f243(x8603,x8601),f243(x8603,x8602)) % 192.26/192.35 [861]~E(x8611,x8612)+E(f244(x8611,x8613,x8614,x8615),f244(x8612,x8613,x8614,x8615)) % 192.26/192.35 [862]~E(x8621,x8622)+E(f244(x8623,x8621,x8624,x8625),f244(x8623,x8622,x8624,x8625)) % 192.26/192.35 [863]~E(x8631,x8632)+E(f244(x8633,x8634,x8631,x8635),f244(x8633,x8634,x8632,x8635)) % 192.26/192.35 [864]~E(x8641,x8642)+E(f244(x8643,x8644,x8645,x8641),f244(x8643,x8644,x8645,x8642)) % 192.26/192.35 [865]~E(x8651,x8652)+E(f377(x8651,x8653,x8654,x8655,x8656,x8657),f377(x8652,x8653,x8654,x8655,x8656,x8657)) % 192.26/192.35 [866]~E(x8661,x8662)+E(f377(x8663,x8661,x8664,x8665,x8666,x8667),f377(x8663,x8662,x8664,x8665,x8666,x8667)) % 192.26/192.35 [867]~E(x8671,x8672)+E(f377(x8673,x8674,x8671,x8675,x8676,x8677),f377(x8673,x8674,x8672,x8675,x8676,x8677)) % 192.26/192.35 [868]~E(x8681,x8682)+E(f377(x8683,x8684,x8685,x8681,x8686,x8687),f377(x8683,x8684,x8685,x8682,x8686,x8687)) % 192.26/192.35 [869]~E(x8691,x8692)+E(f377(x8693,x8694,x8695,x8696,x8691,x8697),f377(x8693,x8694,x8695,x8696,x8692,x8697)) % 192.26/192.35 [870]~E(x8701,x8702)+E(f377(x8703,x8704,x8705,x8706,x8707,x8701),f377(x8703,x8704,x8705,x8706,x8707,x8702)) % 192.26/192.35 [871]~E(x8711,x8712)+E(f888(x8711,x8713,x8714,x8715,x8716,x8717),f888(x8712,x8713,x8714,x8715,x8716,x8717)) % 192.26/192.35 [872]~E(x8721,x8722)+E(f888(x8723,x8721,x8724,x8725,x8726,x8727),f888(x8723,x8722,x8724,x8725,x8726,x8727)) % 192.26/192.35 [873]~E(x8731,x8732)+E(f888(x8733,x8734,x8731,x8735,x8736,x8737),f888(x8733,x8734,x8732,x8735,x8736,x8737)) % 192.26/192.35 [874]~E(x8741,x8742)+E(f888(x8743,x8744,x8745,x8741,x8746,x8747),f888(x8743,x8744,x8745,x8742,x8746,x8747)) % 192.26/192.35 [875]~E(x8751,x8752)+E(f888(x8753,x8754,x8755,x8756,x8751,x8757),f888(x8753,x8754,x8755,x8756,x8752,x8757)) % 192.26/192.35 [876]~E(x8761,x8762)+E(f888(x8763,x8764,x8765,x8766,x8767,x8761),f888(x8763,x8764,x8765,x8766,x8767,x8762)) % 192.26/192.35 [877]~E(x8771,x8772)+E(f183(x8771,x8773),f183(x8772,x8773)) % 192.26/192.35 [878]~E(x8781,x8782)+E(f183(x8783,x8781),f183(x8783,x8782)) % 192.26/192.35 [879]~E(x8791,x8792)+E(f378(x8791,x8793,x8794,x8795,x8796,x8797),f378(x8792,x8793,x8794,x8795,x8796,x8797)) % 192.26/192.35 [880]~E(x8801,x8802)+E(f378(x8803,x8801,x8804,x8805,x8806,x8807),f378(x8803,x8802,x8804,x8805,x8806,x8807)) % 192.26/192.35 [881]~E(x8811,x8812)+E(f378(x8813,x8814,x8811,x8815,x8816,x8817),f378(x8813,x8814,x8812,x8815,x8816,x8817)) % 192.26/192.35 [882]~E(x8821,x8822)+E(f378(x8823,x8824,x8825,x8821,x8826,x8827),f378(x8823,x8824,x8825,x8822,x8826,x8827)) % 192.26/192.35 [883]~E(x8831,x8832)+E(f378(x8833,x8834,x8835,x8836,x8831,x8837),f378(x8833,x8834,x8835,x8836,x8832,x8837)) % 192.26/192.35 [884]~E(x8841,x8842)+E(f378(x8843,x8844,x8845,x8846,x8847,x8841),f378(x8843,x8844,x8845,x8846,x8847,x8842)) % 192.26/192.35 [885]~E(x8851,x8852)+E(f894(x8851,x8853,x8854),f894(x8852,x8853,x8854)) % 192.26/192.35 [886]~E(x8861,x8862)+E(f894(x8863,x8861,x8864),f894(x8863,x8862,x8864)) % 192.26/192.35 [887]~E(x8871,x8872)+E(f894(x8873,x8874,x8871),f894(x8873,x8874,x8872)) % 192.26/192.35 [888]~E(x8881,x8882)+E(f439(x8881,x8883,x8884),f439(x8882,x8883,x8884)) % 192.26/192.35 [889]~E(x8891,x8892)+E(f439(x8893,x8891,x8894),f439(x8893,x8892,x8894)) % 192.26/192.35 [890]~E(x8901,x8902)+E(f439(x8903,x8904,x8901),f439(x8903,x8904,x8902)) % 192.26/192.35 [891]~E(x8911,x8912)+E(f225(x8911,x8913,x8914),f225(x8912,x8913,x8914)) % 192.26/192.35 [892]~E(x8921,x8922)+E(f225(x8923,x8921,x8924),f225(x8923,x8922,x8924)) % 192.26/192.35 [893]~E(x8931,x8932)+E(f225(x8933,x8934,x8931),f225(x8933,x8934,x8932)) % 192.26/192.35 [894]~E(x8941,x8942)+E(f736(x8941,x8943,x8944,x8945,x8946,x8947,x8948,x8949),f736(x8942,x8943,x8944,x8945,x8946,x8947,x8948,x8949)) % 192.26/192.35 [895]~E(x8951,x8952)+E(f736(x8953,x8951,x8954,x8955,x8956,x8957,x8958,x8959),f736(x8953,x8952,x8954,x8955,x8956,x8957,x8958,x8959)) % 192.26/192.35 [896]~E(x8961,x8962)+E(f736(x8963,x8964,x8961,x8965,x8966,x8967,x8968,x8969),f736(x8963,x8964,x8962,x8965,x8966,x8967,x8968,x8969)) % 192.26/192.35 [897]~E(x8971,x8972)+E(f736(x8973,x8974,x8975,x8971,x8976,x8977,x8978,x8979),f736(x8973,x8974,x8975,x8972,x8976,x8977,x8978,x8979)) % 192.26/192.35 [898]~E(x8981,x8982)+E(f736(x8983,x8984,x8985,x8986,x8981,x8987,x8988,x8989),f736(x8983,x8984,x8985,x8986,x8982,x8987,x8988,x8989)) % 192.26/192.35 [899]~E(x8991,x8992)+E(f736(x8993,x8994,x8995,x8996,x8997,x8991,x8998,x8999),f736(x8993,x8994,x8995,x8996,x8997,x8992,x8998,x8999)) % 192.26/192.35 [900]~E(x9001,x9002)+E(f736(x9003,x9004,x9005,x9006,x9007,x9008,x9001,x9009),f736(x9003,x9004,x9005,x9006,x9007,x9008,x9002,x9009)) % 192.26/192.35 [901]~E(x9011,x9012)+E(f736(x9013,x9014,x9015,x9016,x9017,x9018,x9019,x9011),f736(x9013,x9014,x9015,x9016,x9017,x9018,x9019,x9012)) % 192.26/192.35 [902]~E(x9021,x9022)+E(f675(x9021,x9023,x9024,x9025),f675(x9022,x9023,x9024,x9025)) % 192.26/192.35 [903]~E(x9031,x9032)+E(f675(x9033,x9031,x9034,x9035),f675(x9033,x9032,x9034,x9035)) % 192.26/192.35 [904]~E(x9041,x9042)+E(f675(x9043,x9044,x9041,x9045),f675(x9043,x9044,x9042,x9045)) % 192.26/192.35 [905]~E(x9051,x9052)+E(f675(x9053,x9054,x9055,x9051),f675(x9053,x9054,x9055,x9052)) % 192.26/192.35 [906]~E(x9061,x9062)+E(f45(x9061),f45(x9062)) % 192.26/192.35 [907]~E(x9071,x9072)+E(f719(x9071,x9073,x9074,x9075,x9076),f719(x9072,x9073,x9074,x9075,x9076)) % 192.26/192.35 [908]~E(x9081,x9082)+E(f719(x9083,x9081,x9084,x9085,x9086),f719(x9083,x9082,x9084,x9085,x9086)) % 192.26/192.35 [909]~E(x9091,x9092)+E(f719(x9093,x9094,x9091,x9095,x9096),f719(x9093,x9094,x9092,x9095,x9096)) % 192.26/192.35 [910]~E(x9101,x9102)+E(f719(x9103,x9104,x9105,x9101,x9106),f719(x9103,x9104,x9105,x9102,x9106)) % 192.26/192.35 [911]~E(x9111,x9112)+E(f719(x9113,x9114,x9115,x9116,x9111),f719(x9113,x9114,x9115,x9116,x9112)) % 192.26/192.35 [912]~E(x9121,x9122)+E(f348(x9121,x9123,x9124),f348(x9122,x9123,x9124)) % 192.26/192.35 [913]~E(x9131,x9132)+E(f348(x9133,x9131,x9134),f348(x9133,x9132,x9134)) % 192.26/192.35 [914]~E(x9141,x9142)+E(f348(x9143,x9144,x9141),f348(x9143,x9144,x9142)) % 192.26/192.35 [915]~E(x9151,x9152)+E(f316(x9151,x9153,x9154),f316(x9152,x9153,x9154)) % 192.26/192.35 [916]~E(x9161,x9162)+E(f316(x9163,x9161,x9164),f316(x9163,x9162,x9164)) % 192.26/192.35 [917]~E(x9171,x9172)+E(f316(x9173,x9174,x9171),f316(x9173,x9174,x9172)) % 192.26/192.35 [918]~E(x9181,x9182)+E(f411(x9181,x9183,x9184,x9185,x9186),f411(x9182,x9183,x9184,x9185,x9186)) % 192.26/192.35 [919]~E(x9191,x9192)+E(f411(x9193,x9191,x9194,x9195,x9196),f411(x9193,x9192,x9194,x9195,x9196)) % 192.26/192.35 [920]~E(x9201,x9202)+E(f411(x9203,x9204,x9201,x9205,x9206),f411(x9203,x9204,x9202,x9205,x9206)) % 192.26/192.35 [921]~E(x9211,x9212)+E(f411(x9213,x9214,x9215,x9211,x9216),f411(x9213,x9214,x9215,x9212,x9216)) % 192.26/192.35 [922]~E(x9221,x9222)+E(f411(x9223,x9224,x9225,x9226,x9221),f411(x9223,x9224,x9225,x9226,x9222)) % 192.26/192.35 [923]~E(x9231,x9232)+E(f721(x9231,x9233,x9234,x9235,x9236),f721(x9232,x9233,x9234,x9235,x9236)) % 192.26/192.35 [924]~E(x9241,x9242)+E(f721(x9243,x9241,x9244,x9245,x9246),f721(x9243,x9242,x9244,x9245,x9246)) % 192.26/192.35 [925]~E(x9251,x9252)+E(f721(x9253,x9254,x9251,x9255,x9256),f721(x9253,x9254,x9252,x9255,x9256)) % 192.26/192.35 [926]~E(x9261,x9262)+E(f721(x9263,x9264,x9265,x9261,x9266),f721(x9263,x9264,x9265,x9262,x9266)) % 192.26/192.35 [927]~E(x9271,x9272)+E(f721(x9273,x9274,x9275,x9276,x9271),f721(x9273,x9274,x9275,x9276,x9272)) % 192.26/192.35 [928]~E(x9281,x9282)+E(f342(x9281,x9283,x9284,x9285,x9286),f342(x9282,x9283,x9284,x9285,x9286)) % 192.26/192.35 [929]~E(x9291,x9292)+E(f342(x9293,x9291,x9294,x9295,x9296),f342(x9293,x9292,x9294,x9295,x9296)) % 192.26/192.35 [930]~E(x9301,x9302)+E(f342(x9303,x9304,x9301,x9305,x9306),f342(x9303,x9304,x9302,x9305,x9306)) % 192.26/192.35 [931]~E(x9311,x9312)+E(f342(x9313,x9314,x9315,x9311,x9316),f342(x9313,x9314,x9315,x9312,x9316)) % 192.26/192.35 [932]~E(x9321,x9322)+E(f342(x9323,x9324,x9325,x9326,x9321),f342(x9323,x9324,x9325,x9326,x9322)) % 192.26/192.35 [933]~E(x9331,x9332)+E(f262(x9331,x9333,x9334,x9335),f262(x9332,x9333,x9334,x9335)) % 192.26/192.35 [934]~E(x9341,x9342)+E(f262(x9343,x9341,x9344,x9345),f262(x9343,x9342,x9344,x9345)) % 192.26/192.35 [935]~E(x9351,x9352)+E(f262(x9353,x9354,x9351,x9355),f262(x9353,x9354,x9352,x9355)) % 192.26/192.35 [936]~E(x9361,x9362)+E(f262(x9363,x9364,x9365,x9361),f262(x9363,x9364,x9365,x9362)) % 192.26/192.35 [937]~E(x9371,x9372)+E(f770(x9371,x9373,x9374,x9375,x9376,x9377),f770(x9372,x9373,x9374,x9375,x9376,x9377)) % 192.26/192.35 [938]~E(x9381,x9382)+E(f770(x9383,x9381,x9384,x9385,x9386,x9387),f770(x9383,x9382,x9384,x9385,x9386,x9387)) % 192.26/192.35 [939]~E(x9391,x9392)+E(f770(x9393,x9394,x9391,x9395,x9396,x9397),f770(x9393,x9394,x9392,x9395,x9396,x9397)) % 192.26/192.35 [940]~E(x9401,x9402)+E(f770(x9403,x9404,x9405,x9401,x9406,x9407),f770(x9403,x9404,x9405,x9402,x9406,x9407)) % 192.26/192.35 [941]~E(x9411,x9412)+E(f770(x9413,x9414,x9415,x9416,x9411,x9417),f770(x9413,x9414,x9415,x9416,x9412,x9417)) % 192.26/192.35 [942]~E(x9421,x9422)+E(f770(x9423,x9424,x9425,x9426,x9427,x9421),f770(x9423,x9424,x9425,x9426,x9427,x9422)) % 192.26/192.35 [943]~E(x9431,x9432)+E(f690(x9431,x9433,x9434,x9435),f690(x9432,x9433,x9434,x9435)) % 192.26/192.35 [944]~E(x9441,x9442)+E(f690(x9443,x9441,x9444,x9445),f690(x9443,x9442,x9444,x9445)) % 192.26/192.35 [945]~E(x9451,x9452)+E(f690(x9453,x9454,x9451,x9455),f690(x9453,x9454,x9452,x9455)) % 192.26/192.35 [946]~E(x9461,x9462)+E(f690(x9463,x9464,x9465,x9461),f690(x9463,x9464,x9465,x9462)) % 192.26/192.35 [947]~E(x9471,x9472)+E(f500(x9471,x9473,x9474,x9475),f500(x9472,x9473,x9474,x9475)) % 192.26/192.35 [948]~E(x9481,x9482)+E(f500(x9483,x9481,x9484,x9485),f500(x9483,x9482,x9484,x9485)) % 192.26/192.35 [949]~E(x9491,x9492)+E(f500(x9493,x9494,x9491,x9495),f500(x9493,x9494,x9492,x9495)) % 192.26/192.35 [950]~E(x9501,x9502)+E(f500(x9503,x9504,x9505,x9501),f500(x9503,x9504,x9505,x9502)) % 192.26/192.35 [951]~E(x9511,x9512)+E(f408(x9511,x9513,x9514),f408(x9512,x9513,x9514)) % 192.26/192.35 [952]~E(x9521,x9522)+E(f408(x9523,x9521,x9524),f408(x9523,x9522,x9524)) % 192.26/192.35 [953]~E(x9531,x9532)+E(f408(x9533,x9534,x9531),f408(x9533,x9534,x9532)) % 192.26/192.35 [954]~E(x9541,x9542)+E(f756(x9541,x9543),f756(x9542,x9543)) % 192.26/192.35 [955]~E(x9551,x9552)+E(f756(x9553,x9551),f756(x9553,x9552)) % 192.26/192.35 [956]~E(x9561,x9562)+E(f828(x9561,x9563,x9564),f828(x9562,x9563,x9564)) % 192.26/192.35 [957]~E(x9571,x9572)+E(f828(x9573,x9571,x9574),f828(x9573,x9572,x9574)) % 192.26/192.35 [958]~E(x9581,x9582)+E(f828(x9583,x9584,x9581),f828(x9583,x9584,x9582)) % 192.26/192.35 [959]~E(x9591,x9592)+E(f793(x9591,x9593,x9594,x9595),f793(x9592,x9593,x9594,x9595)) % 192.26/192.35 [960]~E(x9601,x9602)+E(f793(x9603,x9601,x9604,x9605),f793(x9603,x9602,x9604,x9605)) % 192.26/192.35 [961]~E(x9611,x9612)+E(f793(x9613,x9614,x9611,x9615),f793(x9613,x9614,x9612,x9615)) % 192.26/192.35 [962]~E(x9621,x9622)+E(f793(x9623,x9624,x9625,x9621),f793(x9623,x9624,x9625,x9622)) % 192.26/192.35 [963]~E(x9631,x9632)+E(f620(x9631,x9633,x9634),f620(x9632,x9633,x9634)) % 192.26/192.35 [964]~E(x9641,x9642)+E(f620(x9643,x9641,x9644),f620(x9643,x9642,x9644)) % 192.26/192.35 [965]~E(x9651,x9652)+E(f620(x9653,x9654,x9651),f620(x9653,x9654,x9652)) % 192.26/192.35 [966]~E(x9661,x9662)+E(f603(x9661,x9663,x9664),f603(x9662,x9663,x9664)) % 192.26/192.35 [967]~E(x9671,x9672)+E(f603(x9673,x9671,x9674),f603(x9673,x9672,x9674)) % 192.26/192.35 [968]~E(x9681,x9682)+E(f603(x9683,x9684,x9681),f603(x9683,x9684,x9682)) % 192.26/192.35 [969]~E(x9691,x9692)+E(f360(x9691,x9693,x9694,x9695,x9696,x9697,x9698,x9699),f360(x9692,x9693,x9694,x9695,x9696,x9697,x9698,x9699)) % 192.26/192.35 [970]~E(x9701,x9702)+E(f360(x9703,x9701,x9704,x9705,x9706,x9707,x9708,x9709),f360(x9703,x9702,x9704,x9705,x9706,x9707,x9708,x9709)) % 192.26/192.35 [971]~E(x9711,x9712)+E(f360(x9713,x9714,x9711,x9715,x9716,x9717,x9718,x9719),f360(x9713,x9714,x9712,x9715,x9716,x9717,x9718,x9719)) % 192.26/192.35 [972]~E(x9721,x9722)+E(f360(x9723,x9724,x9725,x9721,x9726,x9727,x9728,x9729),f360(x9723,x9724,x9725,x9722,x9726,x9727,x9728,x9729)) % 192.26/192.35 [973]~E(x9731,x9732)+E(f360(x9733,x9734,x9735,x9736,x9731,x9737,x9738,x9739),f360(x9733,x9734,x9735,x9736,x9732,x9737,x9738,x9739)) % 192.26/192.35 [974]~E(x9741,x9742)+E(f360(x9743,x9744,x9745,x9746,x9747,x9741,x9748,x9749),f360(x9743,x9744,x9745,x9746,x9747,x9742,x9748,x9749)) % 192.26/192.35 [975]~E(x9751,x9752)+E(f360(x9753,x9754,x9755,x9756,x9757,x9758,x9751,x9759),f360(x9753,x9754,x9755,x9756,x9757,x9758,x9752,x9759)) % 192.26/192.35 [976]~E(x9761,x9762)+E(f360(x9763,x9764,x9765,x9766,x9767,x9768,x9769,x9761),f360(x9763,x9764,x9765,x9766,x9767,x9768,x9769,x9762)) % 192.26/192.35 [977]~E(x9771,x9772)+E(f572(x9771,x9773),f572(x9772,x9773)) % 192.26/192.35 [978]~E(x9781,x9782)+E(f572(x9783,x9781),f572(x9783,x9782)) % 192.26/192.35 [979]~E(x9791,x9792)+E(f621(x9791,x9793,x9794,x9795),f621(x9792,x9793,x9794,x9795)) % 192.26/192.35 [980]~E(x9801,x9802)+E(f621(x9803,x9801,x9804,x9805),f621(x9803,x9802,x9804,x9805)) % 192.26/192.35 [981]~E(x9811,x9812)+E(f621(x9813,x9814,x9811,x9815),f621(x9813,x9814,x9812,x9815)) % 192.26/192.35 [982]~E(x9821,x9822)+E(f621(x9823,x9824,x9825,x9821),f621(x9823,x9824,x9825,x9822)) % 192.26/192.35 [983]~E(x9831,x9832)+E(f369(x9831,x9833,x9834,x9835),f369(x9832,x9833,x9834,x9835)) % 192.26/192.35 [984]~E(x9841,x9842)+E(f369(x9843,x9841,x9844,x9845),f369(x9843,x9842,x9844,x9845)) % 192.26/192.35 [985]~E(x9851,x9852)+E(f369(x9853,x9854,x9851,x9855),f369(x9853,x9854,x9852,x9855)) % 192.26/192.35 [986]~E(x9861,x9862)+E(f369(x9863,x9864,x9865,x9861),f369(x9863,x9864,x9865,x9862)) % 192.26/192.35 [987]~E(x9871,x9872)+E(f562(x9871,x9873,x9874,x9875),f562(x9872,x9873,x9874,x9875)) % 192.26/192.35 [988]~E(x9881,x9882)+E(f562(x9883,x9881,x9884,x9885),f562(x9883,x9882,x9884,x9885)) % 192.26/192.35 [989]~E(x9891,x9892)+E(f562(x9893,x9894,x9891,x9895),f562(x9893,x9894,x9892,x9895)) % 192.26/192.35 [990]~E(x9901,x9902)+E(f562(x9903,x9904,x9905,x9901),f562(x9903,x9904,x9905,x9902)) % 192.26/192.35 [991]~E(x9911,x9912)+E(f145(x9911,x9913,x9914,x9915),f145(x9912,x9913,x9914,x9915)) % 192.26/192.35 [992]~E(x9921,x9922)+E(f145(x9923,x9921,x9924,x9925),f145(x9923,x9922,x9924,x9925)) % 192.26/192.35 [993]~E(x9931,x9932)+E(f145(x9933,x9934,x9931,x9935),f145(x9933,x9934,x9932,x9935)) % 192.26/192.35 [994]~E(x9941,x9942)+E(f145(x9943,x9944,x9945,x9941),f145(x9943,x9944,x9945,x9942)) % 192.26/192.35 [995]~E(x9951,x9952)+E(f353(x9951,x9953,x9954,x9955,x9956),f353(x9952,x9953,x9954,x9955,x9956)) % 192.26/192.35 [996]~E(x9961,x9962)+E(f353(x9963,x9961,x9964,x9965,x9966),f353(x9963,x9962,x9964,x9965,x9966)) % 192.26/192.35 [997]~E(x9971,x9972)+E(f353(x9973,x9974,x9971,x9975,x9976),f353(x9973,x9974,x9972,x9975,x9976)) % 192.26/192.35 [998]~E(x9981,x9982)+E(f353(x9983,x9984,x9985,x9981,x9986),f353(x9983,x9984,x9985,x9982,x9986)) % 192.26/192.35 [999]~E(x9991,x9992)+E(f353(x9993,x9994,x9995,x9996,x9991),f353(x9993,x9994,x9995,x9996,x9992)) % 192.26/192.35 [1000]~E(x10001,x10002)+E(f388(x10001,x10003,x10004,x10005),f388(x10002,x10003,x10004,x10005)) % 192.26/192.35 [1001]~E(x10011,x10012)+E(f388(x10013,x10011,x10014,x10015),f388(x10013,x10012,x10014,x10015)) % 192.26/192.35 [1002]~E(x10021,x10022)+E(f388(x10023,x10024,x10021,x10025),f388(x10023,x10024,x10022,x10025)) % 192.26/192.35 [1003]~E(x10031,x10032)+E(f388(x10033,x10034,x10035,x10031),f388(x10033,x10034,x10035,x10032)) % 192.26/192.35 [1004]~E(x10041,x10042)+E(f317(x10041,x10043,x10044),f317(x10042,x10043,x10044)) % 192.26/192.35 [1005]~E(x10051,x10052)+E(f317(x10053,x10051,x10054),f317(x10053,x10052,x10054)) % 192.26/192.35 [1006]~E(x10061,x10062)+E(f317(x10063,x10064,x10061),f317(x10063,x10064,x10062)) % 192.26/192.35 [1007]~E(x10071,x10072)+E(f352(x10071,x10073,x10074),f352(x10072,x10073,x10074)) % 192.26/192.35 [1008]~E(x10081,x10082)+E(f352(x10083,x10081,x10084),f352(x10083,x10082,x10084)) % 192.26/192.35 [1009]~E(x10091,x10092)+E(f352(x10093,x10094,x10091),f352(x10093,x10094,x10092)) % 192.26/192.35 [1010]~E(x10101,x10102)+E(f781(x10101,x10103,x10104),f781(x10102,x10103,x10104)) % 192.26/192.35 [1011]~E(x10111,x10112)+E(f781(x10113,x10111,x10114),f781(x10113,x10112,x10114)) % 192.26/192.35 [1012]~E(x10121,x10122)+E(f781(x10123,x10124,x10121),f781(x10123,x10124,x10122)) % 192.26/192.35 [1013]~E(x10131,x10132)+E(f454(x10131,x10133,x10134,x10135,x10136),f454(x10132,x10133,x10134,x10135,x10136)) % 192.26/192.35 [1014]~E(x10141,x10142)+E(f454(x10143,x10141,x10144,x10145,x10146),f454(x10143,x10142,x10144,x10145,x10146)) % 192.26/192.35 [1015]~E(x10151,x10152)+E(f454(x10153,x10154,x10151,x10155,x10156),f454(x10153,x10154,x10152,x10155,x10156)) % 192.26/192.35 [1016]~E(x10161,x10162)+E(f454(x10163,x10164,x10165,x10161,x10166),f454(x10163,x10164,x10165,x10162,x10166)) % 192.26/192.35 [1017]~E(x10171,x10172)+E(f454(x10173,x10174,x10175,x10176,x10171),f454(x10173,x10174,x10175,x10176,x10172)) % 192.26/192.35 [1018]~E(x10181,x10182)+E(f893(x10181,x10183,x10184),f893(x10182,x10183,x10184)) % 192.26/192.35 [1019]~E(x10191,x10192)+E(f893(x10193,x10191,x10194),f893(x10193,x10192,x10194)) % 192.26/192.35 [1020]~E(x10201,x10202)+E(f893(x10203,x10204,x10201),f893(x10203,x10204,x10202)) % 192.26/192.35 [1021]~E(x10211,x10212)+E(f463(x10211,x10213,x10214,x10215,x10216),f463(x10212,x10213,x10214,x10215,x10216)) % 192.26/192.35 [1022]~E(x10221,x10222)+E(f463(x10223,x10221,x10224,x10225,x10226),f463(x10223,x10222,x10224,x10225,x10226)) % 192.26/192.35 [1023]~E(x10231,x10232)+E(f463(x10233,x10234,x10231,x10235,x10236),f463(x10233,x10234,x10232,x10235,x10236)) % 192.26/192.35 [1024]~E(x10241,x10242)+E(f463(x10243,x10244,x10245,x10241,x10246),f463(x10243,x10244,x10245,x10242,x10246)) % 192.26/192.35 [1025]~E(x10251,x10252)+E(f463(x10253,x10254,x10255,x10256,x10251),f463(x10253,x10254,x10255,x10256,x10252)) % 192.26/192.35 [1026]~E(x10261,x10262)+E(f565(x10261,x10263,x10264,x10265,x10266),f565(x10262,x10263,x10264,x10265,x10266)) % 192.26/192.35 [1027]~E(x10271,x10272)+E(f565(x10273,x10271,x10274,x10275,x10276),f565(x10273,x10272,x10274,x10275,x10276)) % 192.26/192.35 [1028]~E(x10281,x10282)+E(f565(x10283,x10284,x10281,x10285,x10286),f565(x10283,x10284,x10282,x10285,x10286)) % 192.26/192.35 [1029]~E(x10291,x10292)+E(f565(x10293,x10294,x10295,x10291,x10296),f565(x10293,x10294,x10295,x10292,x10296)) % 192.26/192.35 [1030]~E(x10301,x10302)+E(f565(x10303,x10304,x10305,x10306,x10301),f565(x10303,x10304,x10305,x10306,x10302)) % 192.26/192.35 [1031]~E(x10311,x10312)+E(f886(x10311,x10313,x10314,x10315,x10316,x10317),f886(x10312,x10313,x10314,x10315,x10316,x10317)) % 192.26/192.35 [1032]~E(x10321,x10322)+E(f886(x10323,x10321,x10324,x10325,x10326,x10327),f886(x10323,x10322,x10324,x10325,x10326,x10327)) % 192.26/192.35 [1033]~E(x10331,x10332)+E(f886(x10333,x10334,x10331,x10335,x10336,x10337),f886(x10333,x10334,x10332,x10335,x10336,x10337)) % 192.26/192.35 [1034]~E(x10341,x10342)+E(f886(x10343,x10344,x10345,x10341,x10346,x10347),f886(x10343,x10344,x10345,x10342,x10346,x10347)) % 192.26/192.35 [1035]~E(x10351,x10352)+E(f886(x10353,x10354,x10355,x10356,x10351,x10357),f886(x10353,x10354,x10355,x10356,x10352,x10357)) % 192.26/192.35 [1036]~E(x10361,x10362)+E(f886(x10363,x10364,x10365,x10366,x10367,x10361),f886(x10363,x10364,x10365,x10366,x10367,x10362)) % 192.26/192.35 [1037]~E(x10371,x10372)+E(f209(x10371,x10373),f209(x10372,x10373)) % 192.26/192.35 [1038]~E(x10381,x10382)+E(f209(x10383,x10381),f209(x10383,x10382)) % 192.26/192.35 [1039]~E(x10391,x10392)+E(f604(x10391,x10393,x10394),f604(x10392,x10393,x10394)) % 192.26/192.35 [1040]~E(x10401,x10402)+E(f604(x10403,x10401,x10404),f604(x10403,x10402,x10404)) % 192.26/192.35 [1041]~E(x10411,x10412)+E(f604(x10413,x10414,x10411),f604(x10413,x10414,x10412)) % 192.26/192.35 [1042]~E(x10421,x10422)+E(f775(x10421,x10423),f775(x10422,x10423)) % 192.26/192.35 [1043]~E(x10431,x10432)+E(f775(x10433,x10431),f775(x10433,x10432)) % 192.26/192.35 [1044]~E(x10441,x10442)+E(f482(x10441,x10443),f482(x10442,x10443)) % 192.26/192.35 [1045]~E(x10451,x10452)+E(f482(x10453,x10451),f482(x10453,x10452)) % 192.26/192.35 [1046]~E(x10461,x10462)+E(f667(x10461,x10463,x10464,x10465),f667(x10462,x10463,x10464,x10465)) % 192.26/192.35 [1047]~E(x10471,x10472)+E(f667(x10473,x10471,x10474,x10475),f667(x10473,x10472,x10474,x10475)) % 192.26/192.35 [1048]~E(x10481,x10482)+E(f667(x10483,x10484,x10481,x10485),f667(x10483,x10484,x10482,x10485)) % 192.26/192.35 [1049]~E(x10491,x10492)+E(f667(x10493,x10494,x10495,x10491),f667(x10493,x10494,x10495,x10492)) % 192.26/192.35 [1050]~E(x10501,x10502)+E(f415(x10501,x10503,x10504,x10505,x10506),f415(x10502,x10503,x10504,x10505,x10506)) % 192.26/192.35 [1051]~E(x10511,x10512)+E(f415(x10513,x10511,x10514,x10515,x10516),f415(x10513,x10512,x10514,x10515,x10516)) % 192.26/192.35 [1052]~E(x10521,x10522)+E(f415(x10523,x10524,x10521,x10525,x10526),f415(x10523,x10524,x10522,x10525,x10526)) % 192.26/192.35 [1053]~E(x10531,x10532)+E(f415(x10533,x10534,x10535,x10531,x10536),f415(x10533,x10534,x10535,x10532,x10536)) % 192.26/192.35 [1054]~E(x10541,x10542)+E(f415(x10543,x10544,x10545,x10546,x10541),f415(x10543,x10544,x10545,x10546,x10542)) % 192.26/192.35 [1055]~E(x10551,x10552)+E(f351(x10551,x10553,x10554,x10555),f351(x10552,x10553,x10554,x10555)) % 192.26/192.35 [1056]~E(x10561,x10562)+E(f351(x10563,x10561,x10564,x10565),f351(x10563,x10562,x10564,x10565)) % 192.26/192.35 [1057]~E(x10571,x10572)+E(f351(x10573,x10574,x10571,x10575),f351(x10573,x10574,x10572,x10575)) % 192.26/192.35 [1058]~E(x10581,x10582)+E(f351(x10583,x10584,x10585,x10581),f351(x10583,x10584,x10585,x10582)) % 192.26/192.35 [1059]~E(x10591,x10592)+E(f710(x10591,x10593),f710(x10592,x10593)) % 192.26/192.35 [1060]~E(x10601,x10602)+E(f710(x10603,x10601),f710(x10603,x10602)) % 192.26/192.35 [1061]~E(x10611,x10612)+E(f697(x10611,x10613,x10614,x10615,x10616),f697(x10612,x10613,x10614,x10615,x10616)) % 192.26/192.35 [1062]~E(x10621,x10622)+E(f697(x10623,x10621,x10624,x10625,x10626),f697(x10623,x10622,x10624,x10625,x10626)) % 192.26/192.35 [1063]~E(x10631,x10632)+E(f697(x10633,x10634,x10631,x10635,x10636),f697(x10633,x10634,x10632,x10635,x10636)) % 192.26/192.35 [1064]~E(x10641,x10642)+E(f697(x10643,x10644,x10645,x10641,x10646),f697(x10643,x10644,x10645,x10642,x10646)) % 192.26/192.35 [1065]~E(x10651,x10652)+E(f697(x10653,x10654,x10655,x10656,x10651),f697(x10653,x10654,x10655,x10656,x10652)) % 192.26/192.35 [1066]~E(x10661,x10662)+E(f421(x10661,x10663),f421(x10662,x10663)) % 192.26/192.35 [1067]~E(x10671,x10672)+E(f421(x10673,x10671),f421(x10673,x10672)) % 192.26/192.35 [1068]~E(x10681,x10682)+E(f879(x10681,x10683,x10684),f879(x10682,x10683,x10684)) % 192.26/192.35 [1069]~E(x10691,x10692)+E(f879(x10693,x10691,x10694),f879(x10693,x10692,x10694)) % 192.26/192.35 [1070]~E(x10701,x10702)+E(f879(x10703,x10704,x10701),f879(x10703,x10704,x10702)) % 192.26/192.35 [1071]~E(x10711,x10712)+E(f497(x10711,x10713,x10714,x10715),f497(x10712,x10713,x10714,x10715)) % 192.26/192.35 [1072]~E(x10721,x10722)+E(f497(x10723,x10721,x10724,x10725),f497(x10723,x10722,x10724,x10725)) % 192.26/192.35 [1073]~E(x10731,x10732)+E(f497(x10733,x10734,x10731,x10735),f497(x10733,x10734,x10732,x10735)) % 192.26/192.35 [1074]~E(x10741,x10742)+E(f497(x10743,x10744,x10745,x10741),f497(x10743,x10744,x10745,x10742)) % 192.26/192.35 [1075]~E(x10751,x10752)+E(f776(x10751,x10753,x10754),f776(x10752,x10753,x10754)) % 192.26/192.35 [1076]~E(x10761,x10762)+E(f776(x10763,x10761,x10764),f776(x10763,x10762,x10764)) % 192.26/192.35 [1077]~E(x10771,x10772)+E(f776(x10773,x10774,x10771),f776(x10773,x10774,x10772)) % 192.26/192.35 [1078]~E(x10781,x10782)+E(f355(x10781,x10783,x10784,x10785,x10786),f355(x10782,x10783,x10784,x10785,x10786)) % 192.26/192.35 [1079]~E(x10791,x10792)+E(f355(x10793,x10791,x10794,x10795,x10796),f355(x10793,x10792,x10794,x10795,x10796)) % 192.26/192.35 [1080]~E(x10801,x10802)+E(f355(x10803,x10804,x10801,x10805,x10806),f355(x10803,x10804,x10802,x10805,x10806)) % 192.26/192.35 [1081]~E(x10811,x10812)+E(f355(x10813,x10814,x10815,x10811,x10816),f355(x10813,x10814,x10815,x10812,x10816)) % 192.26/192.35 [1082]~E(x10821,x10822)+E(f355(x10823,x10824,x10825,x10826,x10821),f355(x10823,x10824,x10825,x10826,x10822)) % 192.26/192.35 [1083]~E(x10831,x10832)+E(f414(x10831,x10833,x10834,x10835),f414(x10832,x10833,x10834,x10835)) % 192.26/192.35 [1084]~E(x10841,x10842)+E(f414(x10843,x10841,x10844,x10845),f414(x10843,x10842,x10844,x10845)) % 192.26/192.35 [1085]~E(x10851,x10852)+E(f414(x10853,x10854,x10851,x10855),f414(x10853,x10854,x10852,x10855)) % 192.26/192.35 [1086]~E(x10861,x10862)+E(f414(x10863,x10864,x10865,x10861),f414(x10863,x10864,x10865,x10862)) % 192.26/192.35 [1087]~E(x10871,x10872)+E(f741(x10871,x10873,x10874,x10875,x10876),f741(x10872,x10873,x10874,x10875,x10876)) % 192.26/192.35 [1088]~E(x10881,x10882)+E(f741(x10883,x10881,x10884,x10885,x10886),f741(x10883,x10882,x10884,x10885,x10886)) % 192.26/192.35 [1089]~E(x10891,x10892)+E(f741(x10893,x10894,x10891,x10895,x10896),f741(x10893,x10894,x10892,x10895,x10896)) % 192.26/192.35 [1090]~E(x10901,x10902)+E(f741(x10903,x10904,x10905,x10901,x10906),f741(x10903,x10904,x10905,x10902,x10906)) % 192.26/192.35 [1091]~E(x10911,x10912)+E(f741(x10913,x10914,x10915,x10916,x10911),f741(x10913,x10914,x10915,x10916,x10912)) % 192.26/192.35 [1092]~E(x10921,x10922)+E(f532(x10921,x10923,x10924,x10925,x10926,x10927,x10928,x10929),f532(x10922,x10923,x10924,x10925,x10926,x10927,x10928,x10929)) % 192.26/192.35 [1093]~E(x10931,x10932)+E(f532(x10933,x10931,x10934,x10935,x10936,x10937,x10938,x10939),f532(x10933,x10932,x10934,x10935,x10936,x10937,x10938,x10939)) % 192.26/192.35 [1094]~E(x10941,x10942)+E(f532(x10943,x10944,x10941,x10945,x10946,x10947,x10948,x10949),f532(x10943,x10944,x10942,x10945,x10946,x10947,x10948,x10949)) % 192.26/192.35 [1095]~E(x10951,x10952)+E(f532(x10953,x10954,x10955,x10951,x10956,x10957,x10958,x10959),f532(x10953,x10954,x10955,x10952,x10956,x10957,x10958,x10959)) % 192.26/192.35 [1096]~E(x10961,x10962)+E(f532(x10963,x10964,x10965,x10966,x10961,x10967,x10968,x10969),f532(x10963,x10964,x10965,x10966,x10962,x10967,x10968,x10969)) % 192.26/192.35 [1097]~E(x10971,x10972)+E(f532(x10973,x10974,x10975,x10976,x10977,x10971,x10978,x10979),f532(x10973,x10974,x10975,x10976,x10977,x10972,x10978,x10979)) % 192.26/192.35 [1098]~E(x10981,x10982)+E(f532(x10983,x10984,x10985,x10986,x10987,x10988,x10981,x10989),f532(x10983,x10984,x10985,x10986,x10987,x10988,x10982,x10989)) % 192.26/192.35 [1099]~E(x10991,x10992)+E(f532(x10993,x10994,x10995,x10996,x10997,x10998,x10999,x10991),f532(x10993,x10994,x10995,x10996,x10997,x10998,x10999,x10992)) % 192.26/192.35 [1100]~E(x11001,x11002)+E(f246(x11001,x11003),f246(x11002,x11003)) % 192.26/192.35 [1101]~E(x11011,x11012)+E(f246(x11013,x11011),f246(x11013,x11012)) % 192.26/192.35 [1102]~E(x11021,x11022)+E(f191(x11021,x11023),f191(x11022,x11023)) % 192.26/192.35 [1103]~E(x11031,x11032)+E(f191(x11033,x11031),f191(x11033,x11032)) % 192.26/192.35 [1104]~E(x11041,x11042)+E(f356(x11041,x11043,x11044,x11045),f356(x11042,x11043,x11044,x11045)) % 192.26/192.35 [1105]~E(x11051,x11052)+E(f356(x11053,x11051,x11054,x11055),f356(x11053,x11052,x11054,x11055)) % 192.26/192.35 [1106]~E(x11061,x11062)+E(f356(x11063,x11064,x11061,x11065),f356(x11063,x11064,x11062,x11065)) % 192.26/192.35 [1107]~E(x11071,x11072)+E(f356(x11073,x11074,x11075,x11071),f356(x11073,x11074,x11075,x11072)) % 192.26/192.35 [1108]~E(x11081,x11082)+E(f58(x11081),f58(x11082)) % 192.26/192.35 [1109]~E(x11091,x11092)+E(f397(x11091,x11093,x11094,x11095,x11096),f397(x11092,x11093,x11094,x11095,x11096)) % 192.26/192.35 [1110]~E(x11101,x11102)+E(f397(x11103,x11101,x11104,x11105,x11106),f397(x11103,x11102,x11104,x11105,x11106)) % 192.26/192.35 [1111]~E(x11111,x11112)+E(f397(x11113,x11114,x11111,x11115,x11116),f397(x11113,x11114,x11112,x11115,x11116)) % 192.26/192.35 [1112]~E(x11121,x11122)+E(f397(x11123,x11124,x11125,x11121,x11126),f397(x11123,x11124,x11125,x11122,x11126)) % 192.26/192.35 [1113]~E(x11131,x11132)+E(f397(x11133,x11134,x11135,x11136,x11131),f397(x11133,x11134,x11135,x11136,x11132)) % 192.26/192.35 [1114]~E(x11141,x11142)+E(f730(x11141,x11143),f730(x11142,x11143)) % 192.26/192.35 [1115]~E(x11151,x11152)+E(f730(x11153,x11151),f730(x11153,x11152)) % 192.26/192.35 [1116]~E(x11161,x11162)+E(f472(x11161,x11163,x11164),f472(x11162,x11163,x11164)) % 192.26/192.35 [1117]~E(x11171,x11172)+E(f472(x11173,x11171,x11174),f472(x11173,x11172,x11174)) % 192.26/192.35 [1118]~E(x11181,x11182)+E(f472(x11183,x11184,x11181),f472(x11183,x11184,x11182)) % 192.26/192.35 [1119]~E(x11191,x11192)+E(f722(x11191,x11193,x11194,x11195),f722(x11192,x11193,x11194,x11195)) % 192.26/192.35 [1120]~E(x11201,x11202)+E(f722(x11203,x11201,x11204,x11205),f722(x11203,x11202,x11204,x11205)) % 192.26/192.35 [1121]~E(x11211,x11212)+E(f722(x11213,x11214,x11211,x11215),f722(x11213,x11214,x11212,x11215)) % 192.26/192.35 [1122]~E(x11221,x11222)+E(f722(x11223,x11224,x11225,x11221),f722(x11223,x11224,x11225,x11222)) % 192.26/192.35 [1123]~E(x11231,x11232)+E(f880(x11231,x11233,x11234),f880(x11232,x11233,x11234)) % 192.26/192.35 [1124]~E(x11241,x11242)+E(f880(x11243,x11241,x11244),f880(x11243,x11242,x11244)) % 192.26/192.35 [1125]~E(x11251,x11252)+E(f880(x11253,x11254,x11251),f880(x11253,x11254,x11252)) % 192.26/192.35 [1126]~E(x11261,x11262)+E(f612(x11261,x11263,x11264),f612(x11262,x11263,x11264)) % 192.26/192.35 [1127]~E(x11271,x11272)+E(f612(x11273,x11271,x11274),f612(x11273,x11272,x11274)) % 192.26/192.35 [1128]~E(x11281,x11282)+E(f612(x11283,x11284,x11281),f612(x11283,x11284,x11282)) % 192.26/192.35 [1129]~E(x11291,x11292)+E(f812(x11291,x11293,x11294,x11295),f812(x11292,x11293,x11294,x11295)) % 192.26/192.35 [1130]~E(x11301,x11302)+E(f812(x11303,x11301,x11304,x11305),f812(x11303,x11302,x11304,x11305)) % 192.26/192.35 [1131]~E(x11311,x11312)+E(f812(x11313,x11314,x11311,x11315),f812(x11313,x11314,x11312,x11315)) % 192.26/192.35 [1132]~E(x11321,x11322)+E(f812(x11323,x11324,x11325,x11321),f812(x11323,x11324,x11325,x11322)) % 192.26/192.35 [1133]~E(x11331,x11332)+E(f632(x11331),f632(x11332)) % 192.26/192.35 [1134]~E(x11341,x11342)+E(f623(x11341,x11343,x11344,x11345),f623(x11342,x11343,x11344,x11345)) % 192.26/192.35 [1135]~E(x11351,x11352)+E(f623(x11353,x11351,x11354,x11355),f623(x11353,x11352,x11354,x11355)) % 192.26/192.35 [1136]~E(x11361,x11362)+E(f623(x11363,x11364,x11361,x11365),f623(x11363,x11364,x11362,x11365)) % 192.26/192.35 [1137]~E(x11371,x11372)+E(f623(x11373,x11374,x11375,x11371),f623(x11373,x11374,x11375,x11372)) % 192.26/192.35 [1138]~E(x11381,x11382)+E(f588(x11381,x11383,x11384,x11385,x11386),f588(x11382,x11383,x11384,x11385,x11386)) % 192.26/192.35 [1139]~E(x11391,x11392)+E(f588(x11393,x11391,x11394,x11395,x11396),f588(x11393,x11392,x11394,x11395,x11396)) % 192.26/192.35 [1140]~E(x11401,x11402)+E(f588(x11403,x11404,x11401,x11405,x11406),f588(x11403,x11404,x11402,x11405,x11406)) % 192.26/192.35 [1141]~E(x11411,x11412)+E(f588(x11413,x11414,x11415,x11411,x11416),f588(x11413,x11414,x11415,x11412,x11416)) % 192.26/192.35 [1142]~E(x11421,x11422)+E(f588(x11423,x11424,x11425,x11426,x11421),f588(x11423,x11424,x11425,x11426,x11422)) % 192.26/192.35 [1143]~E(x11431,x11432)+E(f434(x11431,x11433),f434(x11432,x11433)) % 192.26/192.35 [1144]~E(x11441,x11442)+E(f434(x11443,x11441),f434(x11443,x11442)) % 192.26/192.35 [1145]~E(x11451,x11452)+E(f715(x11451,x11453,x11454),f715(x11452,x11453,x11454)) % 192.26/192.35 [1146]~E(x11461,x11462)+E(f715(x11463,x11461,x11464),f715(x11463,x11462,x11464)) % 192.26/192.35 [1147]~E(x11471,x11472)+E(f715(x11473,x11474,x11471),f715(x11473,x11474,x11472)) % 192.26/192.35 [1148]~E(x11481,x11482)+E(f813(x11481,x11483,x11484,x11485,x11486,x11487,x11488,x11489),f813(x11482,x11483,x11484,x11485,x11486,x11487,x11488,x11489)) % 192.26/192.35 [1149]~E(x11491,x11492)+E(f813(x11493,x11491,x11494,x11495,x11496,x11497,x11498,x11499),f813(x11493,x11492,x11494,x11495,x11496,x11497,x11498,x11499)) % 192.26/192.35 [1150]~E(x11501,x11502)+E(f813(x11503,x11504,x11501,x11505,x11506,x11507,x11508,x11509),f813(x11503,x11504,x11502,x11505,x11506,x11507,x11508,x11509)) % 192.26/192.35 [1151]~E(x11511,x11512)+E(f813(x11513,x11514,x11515,x11511,x11516,x11517,x11518,x11519),f813(x11513,x11514,x11515,x11512,x11516,x11517,x11518,x11519)) % 192.26/192.35 [1152]~E(x11521,x11522)+E(f813(x11523,x11524,x11525,x11526,x11521,x11527,x11528,x11529),f813(x11523,x11524,x11525,x11526,x11522,x11527,x11528,x11529)) % 192.26/192.35 [1153]~E(x11531,x11532)+E(f813(x11533,x11534,x11535,x11536,x11537,x11531,x11538,x11539),f813(x11533,x11534,x11535,x11536,x11537,x11532,x11538,x11539)) % 192.26/192.35 [1154]~E(x11541,x11542)+E(f813(x11543,x11544,x11545,x11546,x11547,x11548,x11541,x11549),f813(x11543,x11544,x11545,x11546,x11547,x11548,x11542,x11549)) % 192.26/192.35 [1155]~E(x11551,x11552)+E(f813(x11553,x11554,x11555,x11556,x11557,x11558,x11559,x11551),f813(x11553,x11554,x11555,x11556,x11557,x11558,x11559,x11552)) % 192.26/192.35 [1156]~E(x11561,x11562)+E(f135(x11561,x11563),f135(x11562,x11563)) % 192.26/192.35 [1157]~E(x11571,x11572)+E(f135(x11573,x11571),f135(x11573,x11572)) % 192.26/192.35 [1158]~E(x11581,x11582)+E(f448(x11581,x11583,x11584,x11585,x11586,x11587),f448(x11582,x11583,x11584,x11585,x11586,x11587)) % 192.26/192.35 [1159]~E(x11591,x11592)+E(f448(x11593,x11591,x11594,x11595,x11596,x11597),f448(x11593,x11592,x11594,x11595,x11596,x11597)) % 192.26/192.35 [1160]~E(x11601,x11602)+E(f448(x11603,x11604,x11601,x11605,x11606,x11607),f448(x11603,x11604,x11602,x11605,x11606,x11607)) % 192.26/192.35 [1161]~E(x11611,x11612)+E(f448(x11613,x11614,x11615,x11611,x11616,x11617),f448(x11613,x11614,x11615,x11612,x11616,x11617)) % 192.26/192.35 [1162]~E(x11621,x11622)+E(f448(x11623,x11624,x11625,x11626,x11621,x11627),f448(x11623,x11624,x11625,x11626,x11622,x11627)) % 192.26/192.35 [1163]~E(x11631,x11632)+E(f448(x11633,x11634,x11635,x11636,x11637,x11631),f448(x11633,x11634,x11635,x11636,x11637,x11632)) % 192.26/192.35 [1164]~E(x11641,x11642)+E(f802(x11641,x11643,x11644),f802(x11642,x11643,x11644)) % 192.26/192.35 [1165]~E(x11651,x11652)+E(f802(x11653,x11651,x11654),f802(x11653,x11652,x11654)) % 192.26/192.35 [1166]~E(x11661,x11662)+E(f802(x11663,x11664,x11661),f802(x11663,x11664,x11662)) % 192.26/192.35 [1167]~E(x11671,x11672)+E(f861(x11671,x11673,x11674,x11675),f861(x11672,x11673,x11674,x11675)) % 192.26/192.35 [1168]~E(x11681,x11682)+E(f861(x11683,x11681,x11684,x11685),f861(x11683,x11682,x11684,x11685)) % 192.26/192.35 [1169]~E(x11691,x11692)+E(f861(x11693,x11694,x11691,x11695),f861(x11693,x11694,x11692,x11695)) % 192.26/192.35 [1170]~E(x11701,x11702)+E(f861(x11703,x11704,x11705,x11701),f861(x11703,x11704,x11705,x11702)) % 192.26/192.35 [1171]~E(x11711,x11712)+E(f666(x11711,x11713,x11714),f666(x11712,x11713,x11714)) % 192.26/192.35 [1172]~E(x11721,x11722)+E(f666(x11723,x11721,x11724),f666(x11723,x11722,x11724)) % 192.26/192.35 [1173]~E(x11731,x11732)+E(f666(x11733,x11734,x11731),f666(x11733,x11734,x11732)) % 192.26/192.35 [1174]~E(x11741,x11742)+E(f860(x11741,x11743,x11744,x11745),f860(x11742,x11743,x11744,x11745)) % 192.26/192.35 [1175]~E(x11751,x11752)+E(f860(x11753,x11751,x11754,x11755),f860(x11753,x11752,x11754,x11755)) % 192.26/192.35 [1176]~E(x11761,x11762)+E(f860(x11763,x11764,x11761,x11765),f860(x11763,x11764,x11762,x11765)) % 192.26/192.35 [1177]~E(x11771,x11772)+E(f860(x11773,x11774,x11775,x11771),f860(x11773,x11774,x11775,x11772)) % 192.26/192.35 [1178]~E(x11781,x11782)+E(f787(x11781,x11783,x11784,x11785,x11786),f787(x11782,x11783,x11784,x11785,x11786)) % 192.26/192.35 [1179]~E(x11791,x11792)+E(f787(x11793,x11791,x11794,x11795,x11796),f787(x11793,x11792,x11794,x11795,x11796)) % 192.26/192.35 [1180]~E(x11801,x11802)+E(f787(x11803,x11804,x11801,x11805,x11806),f787(x11803,x11804,x11802,x11805,x11806)) % 192.26/192.35 [1181]~E(x11811,x11812)+E(f787(x11813,x11814,x11815,x11811,x11816),f787(x11813,x11814,x11815,x11812,x11816)) % 192.26/192.35 [1182]~E(x11821,x11822)+E(f787(x11823,x11824,x11825,x11826,x11821),f787(x11823,x11824,x11825,x11826,x11822)) % 192.26/192.35 [1183]~E(x11831,x11832)+E(f703(x11831,x11833,x11834),f703(x11832,x11833,x11834)) % 192.26/192.35 [1184]~E(x11841,x11842)+E(f703(x11843,x11841,x11844),f703(x11843,x11842,x11844)) % 192.26/192.35 [1185]~E(x11851,x11852)+E(f703(x11853,x11854,x11851),f703(x11853,x11854,x11852)) % 192.26/192.35 [1186]~E(x11861,x11862)+E(f869(x11861,x11863,x11864,x11865,x11866,x11867),f869(x11862,x11863,x11864,x11865,x11866,x11867)) % 192.26/192.35 [1187]~E(x11871,x11872)+E(f869(x11873,x11871,x11874,x11875,x11876,x11877),f869(x11873,x11872,x11874,x11875,x11876,x11877)) % 192.26/192.35 [1188]~E(x11881,x11882)+E(f869(x11883,x11884,x11881,x11885,x11886,x11887),f869(x11883,x11884,x11882,x11885,x11886,x11887)) % 192.26/192.35 [1189]~E(x11891,x11892)+E(f869(x11893,x11894,x11895,x11891,x11896,x11897),f869(x11893,x11894,x11895,x11892,x11896,x11897)) % 192.26/192.35 [1190]~E(x11901,x11902)+E(f869(x11903,x11904,x11905,x11906,x11901,x11907),f869(x11903,x11904,x11905,x11906,x11902,x11907)) % 192.26/192.35 [1191]~E(x11911,x11912)+E(f869(x11913,x11914,x11915,x11916,x11917,x11911),f869(x11913,x11914,x11915,x11916,x11917,x11912)) % 192.26/192.35 [1192]~E(x11921,x11922)+E(f885(x11921,x11923,x11924,x11925,x11926),f885(x11922,x11923,x11924,x11925,x11926)) % 192.26/192.35 [1193]~E(x11931,x11932)+E(f885(x11933,x11931,x11934,x11935,x11936),f885(x11933,x11932,x11934,x11935,x11936)) % 192.26/192.35 [1194]~E(x11941,x11942)+E(f885(x11943,x11944,x11941,x11945,x11946),f885(x11943,x11944,x11942,x11945,x11946)) % 192.26/192.35 [1195]~E(x11951,x11952)+E(f885(x11953,x11954,x11955,x11951,x11956),f885(x11953,x11954,x11955,x11952,x11956)) % 192.26/192.35 [1196]~E(x11961,x11962)+E(f885(x11963,x11964,x11965,x11966,x11961),f885(x11963,x11964,x11965,x11966,x11962)) % 192.26/192.35 [1197]~E(x11971,x11972)+E(f855(x11971,x11973,x11974,x11975,x11976),f855(x11972,x11973,x11974,x11975,x11976)) % 192.26/192.35 [1198]~E(x11981,x11982)+E(f855(x11983,x11981,x11984,x11985,x11986),f855(x11983,x11982,x11984,x11985,x11986)) % 192.26/192.35 [1199]~E(x11991,x11992)+E(f855(x11993,x11994,x11991,x11995,x11996),f855(x11993,x11994,x11992,x11995,x11996)) % 192.26/192.35 [1200]~E(x12001,x12002)+E(f855(x12003,x12004,x12005,x12001,x12006),f855(x12003,x12004,x12005,x12002,x12006)) % 192.26/192.35 [1201]~E(x12011,x12012)+E(f855(x12013,x12014,x12015,x12016,x12011),f855(x12013,x12014,x12015,x12016,x12012)) % 192.26/192.35 [1202]~E(x12021,x12022)+E(f629(x12021,x12023,x12024,x12025,x12026),f629(x12022,x12023,x12024,x12025,x12026)) % 192.26/192.35 [1203]~E(x12031,x12032)+E(f629(x12033,x12031,x12034,x12035,x12036),f629(x12033,x12032,x12034,x12035,x12036)) % 192.26/192.35 [1204]~E(x12041,x12042)+E(f629(x12043,x12044,x12041,x12045,x12046),f629(x12043,x12044,x12042,x12045,x12046)) % 192.26/192.35 [1205]~E(x12051,x12052)+E(f629(x12053,x12054,x12055,x12051,x12056),f629(x12053,x12054,x12055,x12052,x12056)) % 192.26/192.35 [1206]~E(x12061,x12062)+E(f629(x12063,x12064,x12065,x12066,x12061),f629(x12063,x12064,x12065,x12066,x12062)) % 192.26/192.35 [1207]~E(x12071,x12072)+E(f129(x12071,x12073,x12074),f129(x12072,x12073,x12074)) % 192.26/192.35 [1208]~E(x12081,x12082)+E(f129(x12083,x12081,x12084),f129(x12083,x12082,x12084)) % 192.26/192.35 [1209]~E(x12091,x12092)+E(f129(x12093,x12094,x12091),f129(x12093,x12094,x12092)) % 192.26/192.35 [1210]~E(x12101,x12102)+E(f451(x12101,x12103,x12104,x12105,x12106),f451(x12102,x12103,x12104,x12105,x12106)) % 192.26/192.35 [1211]~E(x12111,x12112)+E(f451(x12113,x12111,x12114,x12115,x12116),f451(x12113,x12112,x12114,x12115,x12116)) % 192.26/192.35 [1212]~E(x12121,x12122)+E(f451(x12123,x12124,x12121,x12125,x12126),f451(x12123,x12124,x12122,x12125,x12126)) % 192.26/192.35 [1213]~E(x12131,x12132)+E(f451(x12133,x12134,x12135,x12131,x12136),f451(x12133,x12134,x12135,x12132,x12136)) % 192.26/192.35 [1214]~E(x12141,x12142)+E(f451(x12143,x12144,x12145,x12146,x12141),f451(x12143,x12144,x12145,x12146,x12142)) % 192.26/192.35 [1215]~E(x12151,x12152)+E(f69(x12151,x12153,x12154),f69(x12152,x12153,x12154)) % 192.26/192.35 [1216]~E(x12161,x12162)+E(f69(x12163,x12161,x12164),f69(x12163,x12162,x12164)) % 192.26/192.35 [1217]~E(x12171,x12172)+E(f69(x12173,x12174,x12171),f69(x12173,x12174,x12172)) % 192.26/192.35 [1218]~E(x12181,x12182)+E(f309(x12181,x12183,x12184,x12185),f309(x12182,x12183,x12184,x12185)) % 192.26/192.35 [1219]~E(x12191,x12192)+E(f309(x12193,x12191,x12194,x12195),f309(x12193,x12192,x12194,x12195)) % 192.26/192.35 [1220]~E(x12201,x12202)+E(f309(x12203,x12204,x12201,x12205),f309(x12203,x12204,x12202,x12205)) % 192.26/192.35 [1221]~E(x12211,x12212)+E(f309(x12213,x12214,x12215,x12211),f309(x12213,x12214,x12215,x12212)) % 192.26/192.35 [1222]~E(x12221,x12222)+E(f479(x12221),f479(x12222)) % 192.26/192.35 [1223]~E(x12231,x12232)+E(f406(x12231,x12233,x12234,x12235,x12236),f406(x12232,x12233,x12234,x12235,x12236)) % 192.26/192.35 [1224]~E(x12241,x12242)+E(f406(x12243,x12241,x12244,x12245,x12246),f406(x12243,x12242,x12244,x12245,x12246)) % 192.26/192.35 [1225]~E(x12251,x12252)+E(f406(x12253,x12254,x12251,x12255,x12256),f406(x12253,x12254,x12252,x12255,x12256)) % 192.26/192.35 [1226]~E(x12261,x12262)+E(f406(x12263,x12264,x12265,x12261,x12266),f406(x12263,x12264,x12265,x12262,x12266)) % 192.26/192.35 [1227]~E(x12271,x12272)+E(f406(x12273,x12274,x12275,x12276,x12271),f406(x12273,x12274,x12275,x12276,x12272)) % 192.26/192.35 [1228]~E(x12281,x12282)+E(f420(x12281,x12283),f420(x12282,x12283)) % 192.26/192.35 [1229]~E(x12291,x12292)+E(f420(x12293,x12291),f420(x12293,x12292)) % 192.26/192.35 [1230]~E(x12301,x12302)+E(f639(x12301,x12303,x12304,x12305),f639(x12302,x12303,x12304,x12305)) % 192.26/192.35 [1231]~E(x12311,x12312)+E(f639(x12313,x12311,x12314,x12315),f639(x12313,x12312,x12314,x12315)) % 192.26/192.35 [1232]~E(x12321,x12322)+E(f639(x12323,x12324,x12321,x12325),f639(x12323,x12324,x12322,x12325)) % 192.26/192.35 [1233]~E(x12331,x12332)+E(f639(x12333,x12334,x12335,x12331),f639(x12333,x12334,x12335,x12332)) % 192.26/192.35 [1234]~E(x12341,x12342)+E(f799(x12341,x12343,x12344,x12345),f799(x12342,x12343,x12344,x12345)) % 192.26/192.35 [1235]~E(x12351,x12352)+E(f799(x12353,x12351,x12354,x12355),f799(x12353,x12352,x12354,x12355)) % 192.26/192.35 [1236]~E(x12361,x12362)+E(f799(x12363,x12364,x12361,x12365),f799(x12363,x12364,x12362,x12365)) % 192.26/192.35 [1237]~E(x12371,x12372)+E(f799(x12373,x12374,x12375,x12371),f799(x12373,x12374,x12375,x12372)) % 192.26/192.35 [1238]~E(x12381,x12382)+E(f584(x12381,x12383,x12384,x12385),f584(x12382,x12383,x12384,x12385)) % 192.26/192.35 [1239]~E(x12391,x12392)+E(f584(x12393,x12391,x12394,x12395),f584(x12393,x12392,x12394,x12395)) % 192.26/192.35 [1240]~E(x12401,x12402)+E(f584(x12403,x12404,x12401,x12405),f584(x12403,x12404,x12402,x12405)) % 192.26/192.35 [1241]~E(x12411,x12412)+E(f584(x12413,x12414,x12415,x12411),f584(x12413,x12414,x12415,x12412)) % 192.26/192.35 [1242]~E(x12421,x12422)+E(f422(x12421,x12423,x12424,x12425),f422(x12422,x12423,x12424,x12425)) % 192.26/192.35 [1243]~E(x12431,x12432)+E(f422(x12433,x12431,x12434,x12435),f422(x12433,x12432,x12434,x12435)) % 192.26/192.35 [1244]~E(x12441,x12442)+E(f422(x12443,x12444,x12441,x12445),f422(x12443,x12444,x12442,x12445)) % 192.26/192.35 [1245]~E(x12451,x12452)+E(f422(x12453,x12454,x12455,x12451),f422(x12453,x12454,x12455,x12452)) % 192.26/192.35 [1246]~E(x12461,x12462)+E(f19(x12461,x12463,x12464,x12465),f19(x12462,x12463,x12464,x12465)) % 192.26/192.35 [1247]~E(x12471,x12472)+E(f19(x12473,x12471,x12474,x12475),f19(x12473,x12472,x12474,x12475)) % 192.26/192.35 [1248]~E(x12481,x12482)+E(f19(x12483,x12484,x12481,x12485),f19(x12483,x12484,x12482,x12485)) % 192.26/192.35 [1249]~E(x12491,x12492)+E(f19(x12493,x12494,x12495,x12491),f19(x12493,x12494,x12495,x12492)) % 192.26/192.35 [1250]~E(x12501,x12502)+E(f512(x12501,x12503,x12504,x12505),f512(x12502,x12503,x12504,x12505)) % 192.26/192.35 [1251]~E(x12511,x12512)+E(f512(x12513,x12511,x12514,x12515),f512(x12513,x12512,x12514,x12515)) % 192.26/192.35 [1252]~E(x12521,x12522)+E(f512(x12523,x12524,x12521,x12525),f512(x12523,x12524,x12522,x12525)) % 192.26/192.35 [1253]~E(x12531,x12532)+E(f512(x12533,x12534,x12535,x12531),f512(x12533,x12534,x12535,x12532)) % 192.26/192.35 [1254]~E(x12541,x12542)+E(f233(x12541,x12543),f233(x12542,x12543)) % 192.26/192.35 [1255]~E(x12551,x12552)+E(f233(x12553,x12551),f233(x12553,x12552)) % 192.26/192.35 [1256]~E(x12561,x12562)+E(f261(x12561,x12563,x12564),f261(x12562,x12563,x12564)) % 192.26/192.35 [1257]~E(x12571,x12572)+E(f261(x12573,x12571,x12574),f261(x12573,x12572,x12574)) % 192.26/192.35 [1258]~E(x12581,x12582)+E(f261(x12583,x12584,x12581),f261(x12583,x12584,x12582)) % 192.26/192.35 [1259]~E(x12591,x12592)+E(f714(x12591,x12593,x12594),f714(x12592,x12593,x12594)) % 192.26/192.35 [1260]~E(x12601,x12602)+E(f714(x12603,x12601,x12604),f714(x12603,x12602,x12604)) % 192.26/192.35 [1261]~E(x12611,x12612)+E(f714(x12613,x12614,x12611),f714(x12613,x12614,x12612)) % 192.26/192.35 [1262]~E(x12621,x12622)+E(f486(x12621,x12623,x12624),f486(x12622,x12623,x12624)) % 192.26/192.35 [1263]~E(x12631,x12632)+E(f486(x12633,x12631,x12634),f486(x12633,x12632,x12634)) % 192.26/192.35 [1264]~E(x12641,x12642)+E(f486(x12643,x12644,x12641),f486(x12643,x12644,x12642)) % 192.26/192.35 [1265]~E(x12651,x12652)+E(f263(x12651,x12653,x12654,x12655,x12656),f263(x12652,x12653,x12654,x12655,x12656)) % 192.26/192.35 [1266]~E(x12661,x12662)+E(f263(x12663,x12661,x12664,x12665,x12666),f263(x12663,x12662,x12664,x12665,x12666)) % 192.26/192.35 [1267]~E(x12671,x12672)+E(f263(x12673,x12674,x12671,x12675,x12676),f263(x12673,x12674,x12672,x12675,x12676)) % 192.26/192.35 [1268]~E(x12681,x12682)+E(f263(x12683,x12684,x12685,x12681,x12686),f263(x12683,x12684,x12685,x12682,x12686)) % 192.26/192.35 [1269]~E(x12691,x12692)+E(f263(x12693,x12694,x12695,x12696,x12691),f263(x12693,x12694,x12695,x12696,x12692)) % 192.26/192.35 [1270]~E(x12701,x12702)+E(f325(x12701,x12703),f325(x12702,x12703)) % 192.26/192.35 [1271]~E(x12711,x12712)+E(f325(x12713,x12711),f325(x12713,x12712)) % 192.26/192.35 [1272]~E(x12721,x12722)+E(f553(x12721,x12723,x12724),f553(x12722,x12723,x12724)) % 192.26/192.35 [1273]~E(x12731,x12732)+E(f553(x12733,x12731,x12734),f553(x12733,x12732,x12734)) % 192.26/192.35 [1274]~E(x12741,x12742)+E(f553(x12743,x12744,x12741),f553(x12743,x12744,x12742)) % 192.26/192.35 [1275]~E(x12751,x12752)+E(f709(x12751),f709(x12752)) % 192.26/192.35 [1276]~E(x12761,x12762)+E(f358(x12761,x12763,x12764,x12765,x12766,x12767,x12768),f358(x12762,x12763,x12764,x12765,x12766,x12767,x12768)) % 192.26/192.35 [1277]~E(x12771,x12772)+E(f358(x12773,x12771,x12774,x12775,x12776,x12777,x12778),f358(x12773,x12772,x12774,x12775,x12776,x12777,x12778)) % 192.26/192.35 [1278]~E(x12781,x12782)+E(f358(x12783,x12784,x12781,x12785,x12786,x12787,x12788),f358(x12783,x12784,x12782,x12785,x12786,x12787,x12788)) % 192.26/192.35 [1279]~E(x12791,x12792)+E(f358(x12793,x12794,x12795,x12791,x12796,x12797,x12798),f358(x12793,x12794,x12795,x12792,x12796,x12797,x12798)) % 192.26/192.35 [1280]~E(x12801,x12802)+E(f358(x12803,x12804,x12805,x12806,x12801,x12807,x12808),f358(x12803,x12804,x12805,x12806,x12802,x12807,x12808)) % 192.26/192.35 [1281]~E(x12811,x12812)+E(f358(x12813,x12814,x12815,x12816,x12817,x12811,x12818),f358(x12813,x12814,x12815,x12816,x12817,x12812,x12818)) % 192.26/192.35 [1282]~E(x12821,x12822)+E(f358(x12823,x12824,x12825,x12826,x12827,x12828,x12821),f358(x12823,x12824,x12825,x12826,x12827,x12828,x12822)) % 192.26/192.35 [1283]~E(x12831,x12832)+E(f401(x12831,x12833,x12834,x12835,x12836),f401(x12832,x12833,x12834,x12835,x12836)) % 192.26/192.35 [1284]~E(x12841,x12842)+E(f401(x12843,x12841,x12844,x12845,x12846),f401(x12843,x12842,x12844,x12845,x12846)) % 192.26/192.35 [1285]~E(x12851,x12852)+E(f401(x12853,x12854,x12851,x12855,x12856),f401(x12853,x12854,x12852,x12855,x12856)) % 192.26/192.35 [1286]~E(x12861,x12862)+E(f401(x12863,x12864,x12865,x12861,x12866),f401(x12863,x12864,x12865,x12862,x12866)) % 192.26/192.35 [1287]~E(x12871,x12872)+E(f401(x12873,x12874,x12875,x12876,x12871),f401(x12873,x12874,x12875,x12876,x12872)) % 192.26/192.35 [1288]~E(x12881,x12882)+E(f412(x12881,x12883,x12884),f412(x12882,x12883,x12884)) % 192.26/192.35 [1289]~E(x12891,x12892)+E(f412(x12893,x12891,x12894),f412(x12893,x12892,x12894)) % 192.26/192.35 [1290]~E(x12901,x12902)+E(f412(x12903,x12904,x12901),f412(x12903,x12904,x12902)) % 192.26/192.35 [1291]~E(x12911,x12912)+E(f573(x12911,x12913,x12914,x12915),f573(x12912,x12913,x12914,x12915)) % 192.26/192.35 [1292]~E(x12921,x12922)+E(f573(x12923,x12921,x12924,x12925),f573(x12923,x12922,x12924,x12925)) % 192.26/192.35 [1293]~E(x12931,x12932)+E(f573(x12933,x12934,x12931,x12935),f573(x12933,x12934,x12932,x12935)) % 192.26/192.35 [1294]~E(x12941,x12942)+E(f573(x12943,x12944,x12945,x12941),f573(x12943,x12944,x12945,x12942)) % 192.26/192.35 [1295]~E(x12951,x12952)+E(f686(x12951),f686(x12952)) % 192.26/192.35 [1296]~E(x12961,x12962)+E(f786(x12961,x12963,x12964,x12965,x12966),f786(x12962,x12963,x12964,x12965,x12966)) % 192.26/192.35 [1297]~E(x12971,x12972)+E(f786(x12973,x12971,x12974,x12975,x12976),f786(x12973,x12972,x12974,x12975,x12976)) % 192.26/192.35 [1298]~E(x12981,x12982)+E(f786(x12983,x12984,x12981,x12985,x12986),f786(x12983,x12984,x12982,x12985,x12986)) % 192.26/192.35 [1299]~E(x12991,x12992)+E(f786(x12993,x12994,x12995,x12991,x12996),f786(x12993,x12994,x12995,x12992,x12996)) % 192.26/192.35 [1300]~E(x13001,x13002)+E(f786(x13003,x13004,x13005,x13006,x13001),f786(x13003,x13004,x13005,x13006,x13002)) % 192.26/192.35 [1301]~E(x13011,x13012)+E(f247(x13011,x13013,x13014,x13015),f247(x13012,x13013,x13014,x13015)) % 192.26/192.35 [1302]~E(x13021,x13022)+E(f247(x13023,x13021,x13024,x13025),f247(x13023,x13022,x13024,x13025)) % 192.26/192.35 [1303]~E(x13031,x13032)+E(f247(x13033,x13034,x13031,x13035),f247(x13033,x13034,x13032,x13035)) % 192.26/192.35 [1304]~E(x13041,x13042)+E(f247(x13043,x13044,x13045,x13041),f247(x13043,x13044,x13045,x13042)) % 192.26/192.35 [1305]~E(x13051,x13052)+E(f659(x13051,x13053,x13054),f659(x13052,x13053,x13054)) % 192.26/192.35 [1306]~E(x13061,x13062)+E(f659(x13063,x13061,x13064),f659(x13063,x13062,x13064)) % 192.26/192.35 [1307]~E(x13071,x13072)+E(f659(x13073,x13074,x13071),f659(x13073,x13074,x13072)) % 192.26/192.35 [1308]~E(x13081,x13082)+E(f375(x13081,x13083,x13084,x13085,x13086),f375(x13082,x13083,x13084,x13085,x13086)) % 192.26/192.35 [1309]~E(x13091,x13092)+E(f375(x13093,x13091,x13094,x13095,x13096),f375(x13093,x13092,x13094,x13095,x13096)) % 192.26/192.35 [1310]~E(x13101,x13102)+E(f375(x13103,x13104,x13101,x13105,x13106),f375(x13103,x13104,x13102,x13105,x13106)) % 192.26/192.35 [1311]~E(x13111,x13112)+E(f375(x13113,x13114,x13115,x13111,x13116),f375(x13113,x13114,x13115,x13112,x13116)) % 192.26/192.35 [1312]~E(x13121,x13122)+E(f375(x13123,x13124,x13125,x13126,x13121),f375(x13123,x13124,x13125,x13126,x13122)) % 192.26/192.35 [1313]~E(x13131,x13132)+E(f167(x13131),f167(x13132)) % 192.26/192.35 [1314]~E(x13141,x13142)+E(f530(x13141,x13143,x13144,x13145),f530(x13142,x13143,x13144,x13145)) % 192.26/192.35 [1315]~E(x13151,x13152)+E(f530(x13153,x13151,x13154,x13155),f530(x13153,x13152,x13154,x13155)) % 192.26/192.35 [1316]~E(x13161,x13162)+E(f530(x13163,x13164,x13161,x13165),f530(x13163,x13164,x13162,x13165)) % 192.26/192.35 [1317]~E(x13171,x13172)+E(f530(x13173,x13174,x13175,x13171),f530(x13173,x13174,x13175,x13172)) % 192.26/192.35 [1318]~E(x13181,x13182)+E(f754(x13181,x13183,x13184,x13185,x13186),f754(x13182,x13183,x13184,x13185,x13186)) % 192.26/192.35 [1319]~E(x13191,x13192)+E(f754(x13193,x13191,x13194,x13195,x13196),f754(x13193,x13192,x13194,x13195,x13196)) % 192.26/192.35 [1320]~E(x13201,x13202)+E(f754(x13203,x13204,x13201,x13205,x13206),f754(x13203,x13204,x13202,x13205,x13206)) % 192.26/192.35 [1321]~E(x13211,x13212)+E(f754(x13213,x13214,x13215,x13211,x13216),f754(x13213,x13214,x13215,x13212,x13216)) % 192.26/192.35 [1322]~E(x13221,x13222)+E(f754(x13223,x13224,x13225,x13226,x13221),f754(x13223,x13224,x13225,x13226,x13222)) % 192.26/192.35 [1323]~E(x13231,x13232)+E(f450(x13231,x13233,x13234,x13235),f450(x13232,x13233,x13234,x13235)) % 192.26/192.35 [1324]~E(x13241,x13242)+E(f450(x13243,x13241,x13244,x13245),f450(x13243,x13242,x13244,x13245)) % 192.26/192.35 [1325]~E(x13251,x13252)+E(f450(x13253,x13254,x13251,x13255),f450(x13253,x13254,x13252,x13255)) % 192.26/192.35 [1326]~E(x13261,x13262)+E(f450(x13263,x13264,x13265,x13261),f450(x13263,x13264,x13265,x13262)) % 192.26/192.35 [1327]~E(x13271,x13272)+E(f599(x13271,x13273,x13274),f599(x13272,x13273,x13274)) % 192.26/192.35 [1328]~E(x13281,x13282)+E(f599(x13283,x13281,x13284),f599(x13283,x13282,x13284)) % 192.26/192.35 [1329]~E(x13291,x13292)+E(f599(x13293,x13294,x13291),f599(x13293,x13294,x13292)) % 192.26/192.35 [1330]~E(x13301,x13302)+E(f668(x13301,x13303,x13304),f668(x13302,x13303,x13304)) % 192.26/192.35 [1331]~E(x13311,x13312)+E(f668(x13313,x13311,x13314),f668(x13313,x13312,x13314)) % 192.26/192.35 [1332]~E(x13321,x13322)+E(f668(x13323,x13324,x13321),f668(x13323,x13324,x13322)) % 192.26/192.35 [1333]~E(x13331,x13332)+E(f492(x13331,x13333,x13334),f492(x13332,x13333,x13334)) % 192.26/192.35 [1334]~E(x13341,x13342)+E(f492(x13343,x13341,x13344),f492(x13343,x13342,x13344)) % 192.26/192.35 [1335]~E(x13351,x13352)+E(f492(x13353,x13354,x13351),f492(x13353,x13354,x13352)) % 192.26/192.35 [1336]~E(x13361,x13362)+E(f892(x13361,x13363,x13364),f892(x13362,x13363,x13364)) % 192.26/192.35 [1337]~E(x13371,x13372)+E(f892(x13373,x13371,x13374),f892(x13373,x13372,x13374)) % 192.26/192.35 [1338]~E(x13381,x13382)+E(f892(x13383,x13384,x13381),f892(x13383,x13384,x13382)) % 192.26/192.35 [1339]~E(x13391,x13392)+E(f646(x13391,x13393,x13394,x13395),f646(x13392,x13393,x13394,x13395)) % 192.26/192.35 [1340]~E(x13401,x13402)+E(f646(x13403,x13401,x13404,x13405),f646(x13403,x13402,x13404,x13405)) % 192.26/192.35 [1341]~E(x13411,x13412)+E(f646(x13413,x13414,x13411,x13415),f646(x13413,x13414,x13412,x13415)) % 192.26/192.35 [1342]~E(x13421,x13422)+E(f646(x13423,x13424,x13425,x13421),f646(x13423,x13424,x13425,x13422)) % 192.26/192.35 [1343]~E(x13431,x13432)+E(f528(x13431,x13433,x13434),f528(x13432,x13433,x13434)) % 192.26/192.35 [1344]~E(x13441,x13442)+E(f528(x13443,x13441,x13444),f528(x13443,x13442,x13444)) % 192.26/192.35 [1345]~E(x13451,x13452)+E(f528(x13453,x13454,x13451),f528(x13453,x13454,x13452)) % 192.26/192.35 [1346]~E(x13461,x13462)+E(f219(x13461,x13463,x13464),f219(x13462,x13463,x13464)) % 192.26/192.35 [1347]~E(x13471,x13472)+E(f219(x13473,x13471,x13474),f219(x13473,x13472,x13474)) % 192.26/192.35 [1348]~E(x13481,x13482)+E(f219(x13483,x13484,x13481),f219(x13483,x13484,x13482)) % 192.26/192.35 [1349]~E(x13491,x13492)+E(f617(x13491,x13493,x13494,x13495,x13496),f617(x13492,x13493,x13494,x13495,x13496)) % 192.26/192.35 [1350]~E(x13501,x13502)+E(f617(x13503,x13501,x13504,x13505,x13506),f617(x13503,x13502,x13504,x13505,x13506)) % 192.26/192.35 [1351]~E(x13511,x13512)+E(f617(x13513,x13514,x13511,x13515,x13516),f617(x13513,x13514,x13512,x13515,x13516)) % 192.26/192.35 [1352]~E(x13521,x13522)+E(f617(x13523,x13524,x13525,x13521,x13526),f617(x13523,x13524,x13525,x13522,x13526)) % 192.26/192.35 [1353]~E(x13531,x13532)+E(f617(x13533,x13534,x13535,x13536,x13531),f617(x13533,x13534,x13535,x13536,x13532)) % 192.26/192.35 [1354]~E(x13541,x13542)+E(f608(x13541,x13543,x13544,x13545),f608(x13542,x13543,x13544,x13545)) % 192.26/192.35 [1355]~E(x13551,x13552)+E(f608(x13553,x13551,x13554,x13555),f608(x13553,x13552,x13554,x13555)) % 192.26/192.35 [1356]~E(x13561,x13562)+E(f608(x13563,x13564,x13561,x13565),f608(x13563,x13564,x13562,x13565)) % 192.26/192.35 [1357]~E(x13571,x13572)+E(f608(x13573,x13574,x13575,x13571),f608(x13573,x13574,x13575,x13572)) % 192.26/192.35 [1358]~E(x13581,x13582)+E(f846(x13581,x13583,x13584),f846(x13582,x13583,x13584)) % 192.26/192.35 [1359]~E(x13591,x13592)+E(f846(x13593,x13591,x13594),f846(x13593,x13592,x13594)) % 192.26/192.35 [1360]~E(x13601,x13602)+E(f846(x13603,x13604,x13601),f846(x13603,x13604,x13602)) % 192.26/192.35 [1361]~E(x13611,x13612)+E(f346(x13611,x13613,x13614,x13615),f346(x13612,x13613,x13614,x13615)) % 192.26/192.35 [1362]~E(x13621,x13622)+E(f346(x13623,x13621,x13624,x13625),f346(x13623,x13622,x13624,x13625)) % 192.26/192.35 [1363]~E(x13631,x13632)+E(f346(x13633,x13634,x13631,x13635),f346(x13633,x13634,x13632,x13635)) % 192.26/192.35 [1364]~E(x13641,x13642)+E(f346(x13643,x13644,x13645,x13641),f346(x13643,x13644,x13645,x13642)) % 192.26/192.35 [1365]~E(x13651,x13652)+E(f854(x13651,x13653,x13654,x13655,x13656),f854(x13652,x13653,x13654,x13655,x13656)) % 192.26/192.35 [1366]~E(x13661,x13662)+E(f854(x13663,x13661,x13664,x13665,x13666),f854(x13663,x13662,x13664,x13665,x13666)) % 192.26/192.35 [1367]~E(x13671,x13672)+E(f854(x13673,x13674,x13671,x13675,x13676),f854(x13673,x13674,x13672,x13675,x13676)) % 192.26/192.35 [1368]~E(x13681,x13682)+E(f854(x13683,x13684,x13685,x13681,x13686),f854(x13683,x13684,x13685,x13682,x13686)) % 192.26/192.35 [1369]~E(x13691,x13692)+E(f854(x13693,x13694,x13695,x13696,x13691),f854(x13693,x13694,x13695,x13696,x13692)) % 192.26/192.35 [1370]~E(x13701,x13702)+E(f624(x13701,x13703,x13704,x13705,x13706),f624(x13702,x13703,x13704,x13705,x13706)) % 192.26/192.35 [1371]~E(x13711,x13712)+E(f624(x13713,x13711,x13714,x13715,x13716),f624(x13713,x13712,x13714,x13715,x13716)) % 192.26/192.35 [1372]~E(x13721,x13722)+E(f624(x13723,x13724,x13721,x13725,x13726),f624(x13723,x13724,x13722,x13725,x13726)) % 192.26/192.35 [1373]~E(x13731,x13732)+E(f624(x13733,x13734,x13735,x13731,x13736),f624(x13733,x13734,x13735,x13732,x13736)) % 192.26/192.35 [1374]~E(x13741,x13742)+E(f624(x13743,x13744,x13745,x13746,x13741),f624(x13743,x13744,x13745,x13746,x13742)) % 192.26/192.35 [1375]~E(x13751,x13752)+E(f474(x13751),f474(x13752)) % 192.26/192.35 [1376]~E(x13761,x13762)+E(f609(x13761,x13763,x13764,x13765,x13766,x13767),f609(x13762,x13763,x13764,x13765,x13766,x13767)) % 192.26/192.35 [1377]~E(x13771,x13772)+E(f609(x13773,x13771,x13774,x13775,x13776,x13777),f609(x13773,x13772,x13774,x13775,x13776,x13777)) % 192.26/192.35 [1378]~E(x13781,x13782)+E(f609(x13783,x13784,x13781,x13785,x13786,x13787),f609(x13783,x13784,x13782,x13785,x13786,x13787)) % 192.26/192.35 [1379]~E(x13791,x13792)+E(f609(x13793,x13794,x13795,x13791,x13796,x13797),f609(x13793,x13794,x13795,x13792,x13796,x13797)) % 192.26/192.35 [1380]~E(x13801,x13802)+E(f609(x13803,x13804,x13805,x13806,x13801,x13807),f609(x13803,x13804,x13805,x13806,x13802,x13807)) % 192.26/192.35 [1381]~E(x13811,x13812)+E(f609(x13813,x13814,x13815,x13816,x13817,x13811),f609(x13813,x13814,x13815,x13816,x13817,x13812)) % 192.26/192.35 [1382]~E(x13821,x13822)+E(f531(x13821,x13823,x13824,x13825,x13826),f531(x13822,x13823,x13824,x13825,x13826)) % 192.26/192.35 [1383]~E(x13831,x13832)+E(f531(x13833,x13831,x13834,x13835,x13836),f531(x13833,x13832,x13834,x13835,x13836)) % 192.26/192.35 [1384]~E(x13841,x13842)+E(f531(x13843,x13844,x13841,x13845,x13846),f531(x13843,x13844,x13842,x13845,x13846)) % 192.26/192.35 [1385]~E(x13851,x13852)+E(f531(x13853,x13854,x13855,x13851,x13856),f531(x13853,x13854,x13855,x13852,x13856)) % 192.26/192.35 [1386]~E(x13861,x13862)+E(f531(x13863,x13864,x13865,x13866,x13861),f531(x13863,x13864,x13865,x13866,x13862)) % 192.26/192.35 [1387]~E(x13871,x13872)+E(f602(x13871,x13873,x13874),f602(x13872,x13873,x13874)) % 192.26/192.35 [1388]~E(x13881,x13882)+E(f602(x13883,x13881,x13884),f602(x13883,x13882,x13884)) % 192.26/192.35 [1389]~E(x13891,x13892)+E(f602(x13893,x13894,x13891),f602(x13893,x13894,x13892)) % 192.26/192.35 [1390]~E(x13901,x13902)+E(f698(x13901,x13903,x13904,x13905,x13906),f698(x13902,x13903,x13904,x13905,x13906)) % 192.26/192.35 [1391]~E(x13911,x13912)+E(f698(x13913,x13911,x13914,x13915,x13916),f698(x13913,x13912,x13914,x13915,x13916)) % 192.26/192.35 [1392]~E(x13921,x13922)+E(f698(x13923,x13924,x13921,x13925,x13926),f698(x13923,x13924,x13922,x13925,x13926)) % 192.26/192.35 [1393]~E(x13931,x13932)+E(f698(x13933,x13934,x13935,x13931,x13936),f698(x13933,x13934,x13935,x13932,x13936)) % 192.26/192.35 [1394]~E(x13941,x13942)+E(f698(x13943,x13944,x13945,x13946,x13941),f698(x13943,x13944,x13945,x13946,x13942)) % 192.26/192.35 [1395]~E(x13951,x13952)+E(f102(x13951,x13953,x13954,x13955),f102(x13952,x13953,x13954,x13955)) % 192.26/192.35 [1396]~E(x13961,x13962)+E(f102(x13963,x13961,x13964,x13965),f102(x13963,x13962,x13964,x13965)) % 192.26/192.35 [1397]~E(x13971,x13972)+E(f102(x13973,x13974,x13971,x13975),f102(x13973,x13974,x13972,x13975)) % 192.26/192.35 [1398]~E(x13981,x13982)+E(f102(x13983,x13984,x13985,x13981),f102(x13983,x13984,x13985,x13982)) % 192.26/192.35 [1399]~E(x13991,x13992)+E(f231(x13991,x13993,x13994,x13995,x13996),f231(x13992,x13993,x13994,x13995,x13996)) % 192.26/192.35 [1400]~E(x14001,x14002)+E(f231(x14003,x14001,x14004,x14005,x14006),f231(x14003,x14002,x14004,x14005,x14006)) % 192.26/192.35 [1401]~E(x14011,x14012)+E(f231(x14013,x14014,x14011,x14015,x14016),f231(x14013,x14014,x14012,x14015,x14016)) % 192.26/192.35 [1402]~E(x14021,x14022)+E(f231(x14023,x14024,x14025,x14021,x14026),f231(x14023,x14024,x14025,x14022,x14026)) % 192.26/192.35 [1403]~E(x14031,x14032)+E(f231(x14033,x14034,x14035,x14036,x14031),f231(x14033,x14034,x14035,x14036,x14032)) % 192.26/192.35 [1404]~E(x14041,x14042)+E(f232(x14041,x14043,x14044,x14045,x14046),f232(x14042,x14043,x14044,x14045,x14046)) % 192.26/192.35 [1405]~E(x14051,x14052)+E(f232(x14053,x14051,x14054,x14055,x14056),f232(x14053,x14052,x14054,x14055,x14056)) % 192.26/192.35 [1406]~E(x14061,x14062)+E(f232(x14063,x14064,x14061,x14065,x14066),f232(x14063,x14064,x14062,x14065,x14066)) % 192.26/192.35 [1407]~E(x14071,x14072)+E(f232(x14073,x14074,x14075,x14071,x14076),f232(x14073,x14074,x14075,x14072,x14076)) % 192.26/192.35 [1408]~E(x14081,x14082)+E(f232(x14083,x14084,x14085,x14086,x14081),f232(x14083,x14084,x14085,x14086,x14082)) % 192.26/192.35 [1409]~E(x14091,x14092)+E(f704(x14091,x14093,x14094),f704(x14092,x14093,x14094)) % 192.26/192.35 [1410]~E(x14101,x14102)+E(f704(x14103,x14101,x14104),f704(x14103,x14102,x14104)) % 192.26/192.35 [1411]~E(x14111,x14112)+E(f704(x14113,x14114,x14111),f704(x14113,x14114,x14112)) % 192.26/192.35 [1412]~E(x14121,x14122)+E(f144(x14121,x14123,x14124),f144(x14122,x14123,x14124)) % 192.26/192.35 [1413]~E(x14131,x14132)+E(f144(x14133,x14131,x14134),f144(x14133,x14132,x14134)) % 192.26/192.35 [1414]~E(x14141,x14142)+E(f144(x14143,x14144,x14141),f144(x14143,x14144,x14142)) % 192.26/192.35 [1415]~E(x14151,x14152)+E(f435(x14151,x14153),f435(x14152,x14153)) % 192.26/192.35 [1416]~E(x14161,x14162)+E(f435(x14163,x14161),f435(x14163,x14162)) % 192.26/192.35 [1417]~E(x14171,x14172)+E(f568(x14171,x14173),f568(x14172,x14173)) % 192.26/192.35 [1418]~E(x14181,x14182)+E(f568(x14183,x14181),f568(x14183,x14182)) % 192.26/192.35 [1419]~E(x14191,x14192)+E(f678(x14191,x14193),f678(x14192,x14193)) % 192.26/192.35 [1420]~E(x14201,x14202)+E(f678(x14203,x14201),f678(x14203,x14202)) % 192.26/192.35 [1421]~E(x14211,x14212)+E(f653(x14211,x14213,x14214,x14215,x14216),f653(x14212,x14213,x14214,x14215,x14216)) % 192.26/192.35 [1422]~E(x14221,x14222)+E(f653(x14223,x14221,x14224,x14225,x14226),f653(x14223,x14222,x14224,x14225,x14226)) % 192.26/192.35 [1423]~E(x14231,x14232)+E(f653(x14233,x14234,x14231,x14235,x14236),f653(x14233,x14234,x14232,x14235,x14236)) % 192.26/192.35 [1424]~E(x14241,x14242)+E(f653(x14243,x14244,x14245,x14241,x14246),f653(x14243,x14244,x14245,x14242,x14246)) % 192.26/192.35 [1425]~E(x14251,x14252)+E(f653(x14253,x14254,x14255,x14256,x14251),f653(x14253,x14254,x14255,x14256,x14252)) % 192.26/192.35 [1426]~E(x14261,x14262)+E(f864(x14261,x14263,x14264,x14265,x14266),f864(x14262,x14263,x14264,x14265,x14266)) % 192.26/192.35 [1427]~E(x14271,x14272)+E(f864(x14273,x14271,x14274,x14275,x14276),f864(x14273,x14272,x14274,x14275,x14276)) % 192.26/192.35 [1428]~E(x14281,x14282)+E(f864(x14283,x14284,x14281,x14285,x14286),f864(x14283,x14284,x14282,x14285,x14286)) % 192.26/192.35 [1429]~E(x14291,x14292)+E(f864(x14293,x14294,x14295,x14291,x14296),f864(x14293,x14294,x14295,x14292,x14296)) % 192.26/192.35 [1430]~E(x14301,x14302)+E(f864(x14303,x14304,x14305,x14306,x14301),f864(x14303,x14304,x14305,x14306,x14302)) % 192.26/192.35 [1431]~E(x14311,x14312)+E(f485(x14311,x14313,x14314,x14315,x14316),f485(x14312,x14313,x14314,x14315,x14316)) % 192.26/192.35 [1432]~E(x14321,x14322)+E(f485(x14323,x14321,x14324,x14325,x14326),f485(x14323,x14322,x14324,x14325,x14326)) % 192.26/192.35 [1433]~E(x14331,x14332)+E(f485(x14333,x14334,x14331,x14335,x14336),f485(x14333,x14334,x14332,x14335,x14336)) % 192.26/192.35 [1434]~E(x14341,x14342)+E(f485(x14343,x14344,x14345,x14341,x14346),f485(x14343,x14344,x14345,x14342,x14346)) % 192.26/192.35 [1435]~E(x14351,x14352)+E(f485(x14353,x14354,x14355,x14356,x14351),f485(x14353,x14354,x14355,x14356,x14352)) % 192.26/192.35 [1436]~E(x14361,x14362)+E(f673(x14361,x14363,x14364),f673(x14362,x14363,x14364)) % 192.26/192.35 [1437]~E(x14371,x14372)+E(f673(x14373,x14371,x14374),f673(x14373,x14372,x14374)) % 192.26/192.35 [1438]~E(x14381,x14382)+E(f673(x14383,x14384,x14381),f673(x14383,x14384,x14382)) % 192.26/192.35 [1439]~E(x14391,x14392)+E(f658(x14391,x14393,x14394),f658(x14392,x14393,x14394)) % 192.26/192.35 [1440]~E(x14401,x14402)+E(f658(x14403,x14401,x14404),f658(x14403,x14402,x14404)) % 192.26/192.35 [1441]~E(x14411,x14412)+E(f658(x14413,x14414,x14411),f658(x14413,x14414,x14412)) % 192.26/192.35 [1442]~E(x14421,x14422)+E(f335(x14421,x14423,x14424),f335(x14422,x14423,x14424)) % 192.26/192.35 [1443]~E(x14431,x14432)+E(f335(x14433,x14431,x14434),f335(x14433,x14432,x14434)) % 192.26/192.35 [1444]~E(x14441,x14442)+E(f335(x14443,x14444,x14441),f335(x14443,x14444,x14442)) % 192.26/192.35 [1445]~E(x14451,x14452)+E(f674(x14451,x14453),f674(x14452,x14453)) % 192.26/192.35 [1446]~E(x14461,x14462)+E(f674(x14463,x14461),f674(x14463,x14462)) % 192.26/192.35 [1447]~E(x14471,x14472)+E(f340(x14471,x14473,x14474,x14475),f340(x14472,x14473,x14474,x14475)) % 192.26/192.35 [1448]~E(x14481,x14482)+E(f340(x14483,x14481,x14484,x14485),f340(x14483,x14482,x14484,x14485)) % 192.26/192.35 [1449]~E(x14491,x14492)+E(f340(x14493,x14494,x14491,x14495),f340(x14493,x14494,x14492,x14495)) % 192.26/192.35 [1450]~E(x14501,x14502)+E(f340(x14503,x14504,x14505,x14501),f340(x14503,x14504,x14505,x14502)) % 192.26/192.35 [1451]~E(x14511,x14512)+E(f385(x14511,x14513),f385(x14512,x14513)) % 192.26/192.35 [1452]~E(x14521,x14522)+E(f385(x14523,x14521),f385(x14523,x14522)) % 192.26/192.35 [1453]~E(x14531,x14532)+E(f801(x14531,x14533,x14534,x14535),f801(x14532,x14533,x14534,x14535)) % 192.26/192.35 [1454]~E(x14541,x14542)+E(f801(x14543,x14541,x14544,x14545),f801(x14543,x14542,x14544,x14545)) % 192.26/192.35 [1455]~E(x14551,x14552)+E(f801(x14553,x14554,x14551,x14555),f801(x14553,x14554,x14552,x14555)) % 192.26/192.35 [1456]~E(x14561,x14562)+E(f801(x14563,x14564,x14565,x14561),f801(x14563,x14564,x14565,x14562)) % 192.26/192.35 [1457]~E(x14571,x14572)+E(f155(x14571,x14573,x14574),f155(x14572,x14573,x14574)) % 192.26/192.35 [1458]~E(x14581,x14582)+E(f155(x14583,x14581,x14584),f155(x14583,x14582,x14584)) % 192.26/192.35 [1459]~E(x14591,x14592)+E(f155(x14593,x14594,x14591),f155(x14593,x14594,x14592)) % 192.26/192.35 [1460]~E(x14601,x14602)+E(f242(x14601,x14603,x14604),f242(x14602,x14603,x14604)) % 192.26/192.35 [1461]~E(x14611,x14612)+E(f242(x14613,x14611,x14614),f242(x14613,x14612,x14614)) % 192.26/192.35 [1462]~E(x14621,x14622)+E(f242(x14623,x14624,x14621),f242(x14623,x14624,x14622)) % 192.26/192.35 [1463]~E(x14631,x14632)+E(f819(x14631,x14633,x14634,x14635),f819(x14632,x14633,x14634,x14635)) % 192.26/192.35 [1464]~E(x14641,x14642)+E(f819(x14643,x14641,x14644,x14645),f819(x14643,x14642,x14644,x14645)) % 192.26/192.35 [1465]~E(x14651,x14652)+E(f819(x14653,x14654,x14651,x14655),f819(x14653,x14654,x14652,x14655)) % 192.26/192.35 [1466]~E(x14661,x14662)+E(f819(x14663,x14664,x14665,x14661),f819(x14663,x14664,x14665,x14662)) % 192.26/192.35 [1467]~E(x14671,x14672)+E(f795(x14671,x14673,x14674,x14675,x14676),f795(x14672,x14673,x14674,x14675,x14676)) % 192.26/192.35 [1468]~E(x14681,x14682)+E(f795(x14683,x14681,x14684,x14685,x14686),f795(x14683,x14682,x14684,x14685,x14686)) % 192.26/192.35 [1469]~E(x14691,x14692)+E(f795(x14693,x14694,x14691,x14695,x14696),f795(x14693,x14694,x14692,x14695,x14696)) % 192.26/192.35 [1470]~E(x14701,x14702)+E(f795(x14703,x14704,x14705,x14701,x14706),f795(x14703,x14704,x14705,x14702,x14706)) % 192.26/192.35 [1471]~E(x14711,x14712)+E(f795(x14713,x14714,x14715,x14716,x14711),f795(x14713,x14714,x14715,x14716,x14712)) % 192.26/192.35 [1472]~E(x14721,x14722)+E(f784(x14721,x14723,x14724,x14725,x14726),f784(x14722,x14723,x14724,x14725,x14726)) % 192.26/192.35 [1473]~E(x14731,x14732)+E(f784(x14733,x14731,x14734,x14735,x14736),f784(x14733,x14732,x14734,x14735,x14736)) % 192.26/192.35 [1474]~E(x14741,x14742)+E(f784(x14743,x14744,x14741,x14745,x14746),f784(x14743,x14744,x14742,x14745,x14746)) % 192.26/192.35 [1475]~E(x14751,x14752)+E(f784(x14753,x14754,x14755,x14751,x14756),f784(x14753,x14754,x14755,x14752,x14756)) % 192.26/192.35 [1476]~E(x14761,x14762)+E(f784(x14763,x14764,x14765,x14766,x14761),f784(x14763,x14764,x14765,x14766,x14762)) % 192.26/192.35 [1477]~E(x14771,x14772)+E(f433(x14771),f433(x14772)) % 192.26/192.35 [1478]~E(x14781,x14782)+E(f622(x14781,x14783,x14784,x14785),f622(x14782,x14783,x14784,x14785)) % 192.26/192.35 [1479]~E(x14791,x14792)+E(f622(x14793,x14791,x14794,x14795),f622(x14793,x14792,x14794,x14795)) % 192.26/192.35 [1480]~E(x14801,x14802)+E(f622(x14803,x14804,x14801,x14805),f622(x14803,x14804,x14802,x14805)) % 192.26/192.35 [1481]~E(x14811,x14812)+E(f622(x14813,x14814,x14815,x14811),f622(x14813,x14814,x14815,x14812)) % 192.26/192.35 [1482]~E(x14821,x14822)+E(f677(x14821,x14823,x14824,x14825),f677(x14822,x14823,x14824,x14825)) % 192.26/192.35 [1483]~E(x14831,x14832)+E(f677(x14833,x14831,x14834,x14835),f677(x14833,x14832,x14834,x14835)) % 192.26/192.35 [1484]~E(x14841,x14842)+E(f677(x14843,x14844,x14841,x14845),f677(x14843,x14844,x14842,x14845)) % 192.26/192.35 [1485]~E(x14851,x14852)+E(f677(x14853,x14854,x14855,x14851),f677(x14853,x14854,x14855,x14852)) % 192.26/192.35 [1486]~E(x14861,x14862)+E(f757(x14861,x14863),f757(x14862,x14863)) % 192.26/192.35 [1487]~E(x14871,x14872)+E(f757(x14873,x14871),f757(x14873,x14872)) % 192.26/192.35 [1488]~E(x14881,x14882)+E(f640(x14881,x14883,x14884,x14885,x14886),f640(x14882,x14883,x14884,x14885,x14886)) % 192.26/192.35 [1489]~E(x14891,x14892)+E(f640(x14893,x14891,x14894,x14895,x14896),f640(x14893,x14892,x14894,x14895,x14896)) % 192.26/192.35 [1490]~E(x14901,x14902)+E(f640(x14903,x14904,x14901,x14905,x14906),f640(x14903,x14904,x14902,x14905,x14906)) % 192.26/192.35 [1491]~E(x14911,x14912)+E(f640(x14913,x14914,x14915,x14911,x14916),f640(x14913,x14914,x14915,x14912,x14916)) % 192.26/192.35 [1492]~E(x14921,x14922)+E(f640(x14923,x14924,x14925,x14926,x14921),f640(x14923,x14924,x14925,x14926,x14922)) % 192.26/192.35 [1493]~E(x14931,x14932)+E(f210(x14931,x14933),f210(x14932,x14933)) % 192.26/192.35 [1494]~E(x14941,x14942)+E(f210(x14943,x14941),f210(x14943,x14942)) % 192.26/192.35 [1495]~E(x14951,x14952)+E(f692(x14951,x14953,x14954),f692(x14952,x14953,x14954)) % 192.26/192.35 [1496]~E(x14961,x14962)+E(f692(x14963,x14961,x14964),f692(x14963,x14962,x14964)) % 192.26/192.35 [1497]~E(x14971,x14972)+E(f692(x14973,x14974,x14971),f692(x14973,x14974,x14972)) % 192.26/192.35 [1498]~E(x14981,x14982)+E(f372(x14981,x14983),f372(x14982,x14983)) % 192.26/192.35 [1499]~E(x14991,x14992)+E(f372(x14993,x14991),f372(x14993,x14992)) % 192.26/192.35 [1500]~E(x15001,x15002)+E(f580(x15001,x15003,x15004),f580(x15002,x15003,x15004)) % 192.26/192.35 [1501]~E(x15011,x15012)+E(f580(x15013,x15011,x15014),f580(x15013,x15012,x15014)) % 192.26/192.35 [1502]~E(x15021,x15022)+E(f580(x15023,x15024,x15021),f580(x15023,x15024,x15022)) % 192.26/192.35 [1503]~E(x15031,x15032)+E(f596(x15031,x15033,x15034),f596(x15032,x15033,x15034)) % 192.26/192.35 [1504]~E(x15041,x15042)+E(f596(x15043,x15041,x15044),f596(x15043,x15042,x15044)) % 192.26/192.35 [1505]~E(x15051,x15052)+E(f596(x15053,x15054,x15051),f596(x15053,x15054,x15052)) % 192.26/192.35 [1506]~E(x15061,x15062)+E(f582(x15061,x15063,x15064,x15065),f582(x15062,x15063,x15064,x15065)) % 192.26/192.35 [1507]~E(x15071,x15072)+E(f582(x15073,x15071,x15074,x15075),f582(x15073,x15072,x15074,x15075)) % 192.26/192.35 [1508]~E(x15081,x15082)+E(f582(x15083,x15084,x15081,x15085),f582(x15083,x15084,x15082,x15085)) % 192.26/192.35 [1509]~E(x15091,x15092)+E(f582(x15093,x15094,x15095,x15091),f582(x15093,x15094,x15095,x15092)) % 192.26/192.35 [1510]~E(x15101,x15102)+E(f123(x15101),f123(x15102)) % 192.26/192.35 [1511]~E(x15111,x15112)+E(f772(x15111,x15113,x15114),f772(x15112,x15113,x15114)) % 192.26/192.35 [1512]~E(x15121,x15122)+E(f772(x15123,x15121,x15124),f772(x15123,x15122,x15124)) % 192.26/192.35 [1513]~E(x15131,x15132)+E(f772(x15133,x15134,x15131),f772(x15133,x15134,x15132)) % 192.26/192.35 [1514]~E(x15141,x15142)+E(f782(x15141,x15143,x15144),f782(x15142,x15143,x15144)) % 192.26/192.35 [1515]~E(x15151,x15152)+E(f782(x15153,x15151,x15154),f782(x15153,x15152,x15154)) % 192.26/192.35 [1516]~E(x15161,x15162)+E(f782(x15163,x15164,x15161),f782(x15163,x15164,x15162)) % 192.26/192.35 [1517]~E(x15171,x15172)+E(f443(x15171,x15173),f443(x15172,x15173)) % 192.26/192.35 [1518]~E(x15181,x15182)+E(f443(x15183,x15181),f443(x15183,x15182)) % 192.26/192.35 [1519]~E(x15191,x15192)+E(f99(x15191,x15193,x15194),f99(x15192,x15193,x15194)) % 192.26/192.35 [1520]~E(x15201,x15202)+E(f99(x15203,x15201,x15204),f99(x15203,x15202,x15204)) % 192.26/192.35 [1521]~E(x15211,x15212)+E(f99(x15213,x15214,x15211),f99(x15213,x15214,x15212)) % 192.26/192.35 [1522]~E(x15221,x15222)+E(f97(x15221,x15223,x15224,x15225),f97(x15222,x15223,x15224,x15225)) % 192.26/192.35 [1523]~E(x15231,x15232)+E(f97(x15233,x15231,x15234,x15235),f97(x15233,x15232,x15234,x15235)) % 192.26/192.35 [1524]~E(x15241,x15242)+E(f97(x15243,x15244,x15241,x15245),f97(x15243,x15244,x15242,x15245)) % 192.26/192.35 [1525]~E(x15251,x15252)+E(f97(x15253,x15254,x15255,x15251),f97(x15253,x15254,x15255,x15252)) % 192.26/192.35 [1526]~E(x15261,x15262)+E(f338(x15261,x15263,x15264),f338(x15262,x15263,x15264)) % 192.26/192.35 [1527]~E(x15271,x15272)+E(f338(x15273,x15271,x15274),f338(x15273,x15272,x15274)) % 192.26/192.35 [1528]~E(x15281,x15282)+E(f338(x15283,x15284,x15281),f338(x15283,x15284,x15282)) % 192.26/192.35 [1529]~E(x15291,x15292)+E(f490(x15291,x15293,x15294),f490(x15292,x15293,x15294)) % 192.26/192.35 [1530]~E(x15301,x15302)+E(f490(x15303,x15301,x15304),f490(x15303,x15302,x15304)) % 192.26/192.35 [1531]~E(x15311,x15312)+E(f490(x15313,x15314,x15311),f490(x15313,x15314,x15312)) % 192.26/192.35 [1532]~E(x15321,x15322)+E(f790(x15321,x15323,x15324,x15325,x15326),f790(x15322,x15323,x15324,x15325,x15326)) % 192.26/192.35 [1533]~E(x15331,x15332)+E(f790(x15333,x15331,x15334,x15335,x15336),f790(x15333,x15332,x15334,x15335,x15336)) % 192.26/192.35 [1534]~E(x15341,x15342)+E(f790(x15343,x15344,x15341,x15345,x15346),f790(x15343,x15344,x15342,x15345,x15346)) % 192.26/192.35 [1535]~E(x15351,x15352)+E(f790(x15353,x15354,x15355,x15351,x15356),f790(x15353,x15354,x15355,x15352,x15356)) % 192.26/192.35 [1536]~E(x15361,x15362)+E(f790(x15363,x15364,x15365,x15366,x15361),f790(x15363,x15364,x15365,x15366,x15362)) % 192.26/192.35 [1537]~E(x15371,x15372)+E(f694(x15371,x15373,x15374,x15375,x15376),f694(x15372,x15373,x15374,x15375,x15376)) % 192.26/192.35 [1538]~E(x15381,x15382)+E(f694(x15383,x15381,x15384,x15385,x15386),f694(x15383,x15382,x15384,x15385,x15386)) % 192.26/192.35 [1539]~E(x15391,x15392)+E(f694(x15393,x15394,x15391,x15395,x15396),f694(x15393,x15394,x15392,x15395,x15396)) % 192.26/192.35 [1540]~E(x15401,x15402)+E(f694(x15403,x15404,x15405,x15401,x15406),f694(x15403,x15404,x15405,x15402,x15406)) % 192.26/192.35 [1541]~E(x15411,x15412)+E(f694(x15413,x15414,x15415,x15416,x15411),f694(x15413,x15414,x15415,x15416,x15412)) % 192.26/192.35 [1542]~E(x15421,x15422)+E(f484(x15421,x15423,x15424),f484(x15422,x15423,x15424)) % 192.26/192.35 [1543]~E(x15431,x15432)+E(f484(x15433,x15431,x15434),f484(x15433,x15432,x15434)) % 192.26/192.35 [1544]~E(x15441,x15442)+E(f484(x15443,x15444,x15441),f484(x15443,x15444,x15442)) % 192.26/192.35 [1545]~E(x15451,x15452)+E(f627(x15451,x15453,x15454,x15455,x15456),f627(x15452,x15453,x15454,x15455,x15456)) % 192.26/192.35 [1546]~E(x15461,x15462)+E(f627(x15463,x15461,x15464,x15465,x15466),f627(x15463,x15462,x15464,x15465,x15466)) % 192.26/192.35 [1547]~E(x15471,x15472)+E(f627(x15473,x15474,x15471,x15475,x15476),f627(x15473,x15474,x15472,x15475,x15476)) % 192.26/192.35 [1548]~E(x15481,x15482)+E(f627(x15483,x15484,x15485,x15481,x15486),f627(x15483,x15484,x15485,x15482,x15486)) % 192.26/192.35 [1549]~E(x15491,x15492)+E(f627(x15493,x15494,x15495,x15496,x15491),f627(x15493,x15494,x15495,x15496,x15492)) % 192.26/192.35 [1550]~E(x15501,x15502)+E(f404(x15501,x15503,x15504,x15505,x15506),f404(x15502,x15503,x15504,x15505,x15506)) % 192.26/192.35 [1551]~E(x15511,x15512)+E(f404(x15513,x15511,x15514,x15515,x15516),f404(x15513,x15512,x15514,x15515,x15516)) % 192.26/192.35 [1552]~E(x15521,x15522)+E(f404(x15523,x15524,x15521,x15525,x15526),f404(x15523,x15524,x15522,x15525,x15526)) % 192.26/192.35 [1553]~E(x15531,x15532)+E(f404(x15533,x15534,x15535,x15531,x15536),f404(x15533,x15534,x15535,x15532,x15536)) % 192.26/192.35 [1554]~E(x15541,x15542)+E(f404(x15543,x15544,x15545,x15546,x15541),f404(x15543,x15544,x15545,x15546,x15542)) % 192.26/192.35 [1555]~E(x15551,x15552)+E(f423(x15551,x15553,x15554,x15555),f423(x15552,x15553,x15554,x15555)) % 192.26/192.35 [1556]~E(x15561,x15562)+E(f423(x15563,x15561,x15564,x15565),f423(x15563,x15562,x15564,x15565)) % 192.26/192.35 [1557]~E(x15571,x15572)+E(f423(x15573,x15574,x15571,x15575),f423(x15573,x15574,x15572,x15575)) % 192.26/192.35 [1558]~E(x15581,x15582)+E(f423(x15583,x15584,x15585,x15581),f423(x15583,x15584,x15585,x15582)) % 192.26/192.35 [1559]~E(x15591,x15592)+E(f895(x15591,x15593,x15594,x15595,x15596,x15597,x15598,x15599),f895(x15592,x15593,x15594,x15595,x15596,x15597,x15598,x15599)) % 192.26/192.35 [1560]~E(x15601,x15602)+E(f895(x15603,x15601,x15604,x15605,x15606,x15607,x15608,x15609),f895(x15603,x15602,x15604,x15605,x15606,x15607,x15608,x15609)) % 192.26/192.35 [1561]~E(x15611,x15612)+E(f895(x15613,x15614,x15611,x15615,x15616,x15617,x15618,x15619),f895(x15613,x15614,x15612,x15615,x15616,x15617,x15618,x15619)) % 192.26/192.35 [1562]~E(x15621,x15622)+E(f895(x15623,x15624,x15625,x15621,x15626,x15627,x15628,x15629),f895(x15623,x15624,x15625,x15622,x15626,x15627,x15628,x15629)) % 192.26/192.35 [1563]~E(x15631,x15632)+E(f895(x15633,x15634,x15635,x15636,x15631,x15637,x15638,x15639),f895(x15633,x15634,x15635,x15636,x15632,x15637,x15638,x15639)) % 192.26/192.35 [1564]~E(x15641,x15642)+E(f895(x15643,x15644,x15645,x15646,x15647,x15641,x15648,x15649),f895(x15643,x15644,x15645,x15646,x15647,x15642,x15648,x15649)) % 192.26/192.35 [1565]~E(x15651,x15652)+E(f895(x15653,x15654,x15655,x15656,x15657,x15658,x15651,x15659),f895(x15653,x15654,x15655,x15656,x15657,x15658,x15652,x15659)) % 192.26/192.35 [1566]~E(x15661,x15662)+E(f895(x15663,x15664,x15665,x15666,x15667,x15668,x15669,x15661),f895(x15663,x15664,x15665,x15666,x15667,x15668,x15669,x15662)) % 192.26/192.35 [1567]~E(x15671,x15672)+E(f525(x15671,x15673),f525(x15672,x15673)) % 192.26/192.35 [1568]~E(x15681,x15682)+E(f525(x15683,x15681),f525(x15683,x15682)) % 192.26/192.35 [1569]~E(x15691,x15692)+E(f811(x15691,x15693,x15694,x15695),f811(x15692,x15693,x15694,x15695)) % 192.26/192.35 [1570]~E(x15701,x15702)+E(f811(x15703,x15701,x15704,x15705),f811(x15703,x15702,x15704,x15705)) % 192.26/192.35 [1571]~E(x15711,x15712)+E(f811(x15713,x15714,x15711,x15715),f811(x15713,x15714,x15712,x15715)) % 192.26/192.35 [1572]~E(x15721,x15722)+E(f811(x15723,x15724,x15725,x15721),f811(x15723,x15724,x15725,x15722)) % 192.26/192.35 [1573]~E(x15731,x15732)+E(f470(x15731,x15733,x15734,x15735),f470(x15732,x15733,x15734,x15735)) % 192.26/192.35 [1574]~E(x15741,x15742)+E(f470(x15743,x15741,x15744,x15745),f470(x15743,x15742,x15744,x15745)) % 192.26/192.35 [1575]~E(x15751,x15752)+E(f470(x15753,x15754,x15751,x15755),f470(x15753,x15754,x15752,x15755)) % 192.26/192.35 [1576]~E(x15761,x15762)+E(f470(x15763,x15764,x15765,x15761),f470(x15763,x15764,x15765,x15762)) % 192.26/192.35 [1577]~E(x15771,x15772)+E(f548(x15771,x15773,x15774),f548(x15772,x15773,x15774)) % 192.26/192.35 [1578]~E(x15781,x15782)+E(f548(x15783,x15781,x15784),f548(x15783,x15782,x15784)) % 192.26/192.35 [1579]~E(x15791,x15792)+E(f548(x15793,x15794,x15791),f548(x15793,x15794,x15792)) % 192.26/192.35 [1580]~E(x15801,x15802)+E(f366(x15801,x15803,x15804,x15805,x15806,x15807),f366(x15802,x15803,x15804,x15805,x15806,x15807)) % 192.26/192.35 [1581]~E(x15811,x15812)+E(f366(x15813,x15811,x15814,x15815,x15816,x15817),f366(x15813,x15812,x15814,x15815,x15816,x15817)) % 192.26/192.35 [1582]~E(x15821,x15822)+E(f366(x15823,x15824,x15821,x15825,x15826,x15827),f366(x15823,x15824,x15822,x15825,x15826,x15827)) % 192.26/192.35 [1583]~E(x15831,x15832)+E(f366(x15833,x15834,x15835,x15831,x15836,x15837),f366(x15833,x15834,x15835,x15832,x15836,x15837)) % 192.26/192.35 [1584]~E(x15841,x15842)+E(f366(x15843,x15844,x15845,x15846,x15841,x15847),f366(x15843,x15844,x15845,x15846,x15842,x15847)) % 192.26/192.35 [1585]~E(x15851,x15852)+E(f366(x15853,x15854,x15855,x15856,x15857,x15851),f366(x15853,x15854,x15855,x15856,x15857,x15852)) % 192.26/192.35 [1586]~E(x15861,x15862)+E(f682(x15861,x15863,x15864,x15865),f682(x15862,x15863,x15864,x15865)) % 192.26/192.35 [1587]~E(x15871,x15872)+E(f682(x15873,x15871,x15874,x15875),f682(x15873,x15872,x15874,x15875)) % 192.26/192.35 [1588]~E(x15881,x15882)+E(f682(x15883,x15884,x15881,x15885),f682(x15883,x15884,x15882,x15885)) % 192.26/192.35 [1589]~E(x15891,x15892)+E(f682(x15893,x15894,x15895,x15891),f682(x15893,x15894,x15895,x15892)) % 192.26/192.35 [1590]~E(x15901,x15902)+E(f545(x15901,x15903,x15904),f545(x15902,x15903,x15904)) % 192.26/192.35 [1591]~E(x15911,x15912)+E(f545(x15913,x15911,x15914),f545(x15913,x15912,x15914)) % 192.26/192.35 [1592]~E(x15921,x15922)+E(f545(x15923,x15924,x15921),f545(x15923,x15924,x15922)) % 192.26/192.35 [1593]~E(x15931,x15932)+E(f594(x15931,x15933,x15934,x15935,x15936,x15937,x15938),f594(x15932,x15933,x15934,x15935,x15936,x15937,x15938)) % 192.26/192.35 [1594]~E(x15941,x15942)+E(f594(x15943,x15941,x15944,x15945,x15946,x15947,x15948),f594(x15943,x15942,x15944,x15945,x15946,x15947,x15948)) % 192.26/192.35 [1595]~E(x15951,x15952)+E(f594(x15953,x15954,x15951,x15955,x15956,x15957,x15958),f594(x15953,x15954,x15952,x15955,x15956,x15957,x15958)) % 192.26/192.35 [1596]~E(x15961,x15962)+E(f594(x15963,x15964,x15965,x15961,x15966,x15967,x15968),f594(x15963,x15964,x15965,x15962,x15966,x15967,x15968)) % 192.26/192.35 [1597]~E(x15971,x15972)+E(f594(x15973,x15974,x15975,x15976,x15971,x15977,x15978),f594(x15973,x15974,x15975,x15976,x15972,x15977,x15978)) % 192.26/192.35 [1598]~E(x15981,x15982)+E(f594(x15983,x15984,x15985,x15986,x15987,x15981,x15988),f594(x15983,x15984,x15985,x15986,x15987,x15982,x15988)) % 192.26/192.35 [1599]~E(x15991,x15992)+E(f594(x15993,x15994,x15995,x15996,x15997,x15998,x15991),f594(x15993,x15994,x15995,x15996,x15997,x15998,x15992)) % 192.26/192.35 [1600]~E(x16001,x16002)+E(f519(x16001,x16003,x16004,x16005),f519(x16002,x16003,x16004,x16005)) % 192.26/192.35 [1601]~E(x16011,x16012)+E(f519(x16013,x16011,x16014,x16015),f519(x16013,x16012,x16014,x16015)) % 192.26/192.35 [1602]~E(x16021,x16022)+E(f519(x16023,x16024,x16021,x16025),f519(x16023,x16024,x16022,x16025)) % 192.26/192.35 [1603]~E(x16031,x16032)+E(f519(x16033,x16034,x16035,x16031),f519(x16033,x16034,x16035,x16032)) % 192.26/192.35 [1604]~E(x16041,x16042)+E(f339(x16041,x16043,x16044,x16045),f339(x16042,x16043,x16044,x16045)) % 192.26/192.35 [1605]~E(x16051,x16052)+E(f339(x16053,x16051,x16054,x16055),f339(x16053,x16052,x16054,x16055)) % 192.26/192.35 [1606]~E(x16061,x16062)+E(f339(x16063,x16064,x16061,x16065),f339(x16063,x16064,x16062,x16065)) % 192.26/192.35 [1607]~E(x16071,x16072)+E(f339(x16073,x16074,x16075,x16071),f339(x16073,x16074,x16075,x16072)) % 192.26/192.35 [1608]~E(x16081,x16082)+E(f381(x16081,x16083),f381(x16082,x16083)) % 192.26/192.35 [1609]~E(x16091,x16092)+E(f381(x16093,x16091),f381(x16093,x16092)) % 192.26/192.35 [1610]~E(x16101,x16102)+E(f618(x16101,x16103,x16104,x16105,x16106),f618(x16102,x16103,x16104,x16105,x16106)) % 192.26/192.35 [1611]~E(x16111,x16112)+E(f618(x16113,x16111,x16114,x16115,x16116),f618(x16113,x16112,x16114,x16115,x16116)) % 192.26/192.35 [1612]~E(x16121,x16122)+E(f618(x16123,x16124,x16121,x16125,x16126),f618(x16123,x16124,x16122,x16125,x16126)) % 192.26/192.35 [1613]~E(x16131,x16132)+E(f618(x16133,x16134,x16135,x16131,x16136),f618(x16133,x16134,x16135,x16132,x16136)) % 192.26/192.35 [1614]~E(x16141,x16142)+E(f618(x16143,x16144,x16145,x16146,x16141),f618(x16143,x16144,x16145,x16146,x16142)) % 192.26/192.35 [1615]~E(x16151,x16152)+E(f354(x16151,x16153,x16154,x16155,x16156),f354(x16152,x16153,x16154,x16155,x16156)) % 192.26/192.35 [1616]~E(x16161,x16162)+E(f354(x16163,x16161,x16164,x16165,x16166),f354(x16163,x16162,x16164,x16165,x16166)) % 192.26/192.35 [1617]~E(x16171,x16172)+E(f354(x16173,x16174,x16171,x16175,x16176),f354(x16173,x16174,x16172,x16175,x16176)) % 192.26/192.35 [1618]~E(x16181,x16182)+E(f354(x16183,x16184,x16185,x16181,x16186),f354(x16183,x16184,x16185,x16182,x16186)) % 192.26/192.35 [1619]~E(x16191,x16192)+E(f354(x16193,x16194,x16195,x16196,x16191),f354(x16193,x16194,x16195,x16196,x16192)) % 192.26/192.35 [1620]~E(x16201,x16202)+E(f361(x16201,x16203,x16204,x16205),f361(x16202,x16203,x16204,x16205)) % 192.26/192.35 [1621]~E(x16211,x16212)+E(f361(x16213,x16211,x16214,x16215),f361(x16213,x16212,x16214,x16215)) % 192.26/192.35 [1622]~E(x16221,x16222)+E(f361(x16223,x16224,x16221,x16225),f361(x16223,x16224,x16222,x16225)) % 192.26/192.35 [1623]~E(x16231,x16232)+E(f361(x16233,x16234,x16235,x16231),f361(x16233,x16234,x16235,x16232)) % 192.26/192.35 [1624]~E(x16241,x16242)+E(f516(x16241,x16243),f516(x16242,x16243)) % 192.26/192.35 [1625]~E(x16251,x16252)+E(f516(x16253,x16251),f516(x16253,x16252)) % 192.26/192.35 [1626]~E(x16261,x16262)+E(f496(x16261,x16263,x16264,x16265),f496(x16262,x16263,x16264,x16265)) % 192.26/192.35 [1627]~E(x16271,x16272)+E(f496(x16273,x16271,x16274,x16275),f496(x16273,x16272,x16274,x16275)) % 192.26/192.35 [1628]~E(x16281,x16282)+E(f496(x16283,x16284,x16281,x16285),f496(x16283,x16284,x16282,x16285)) % 192.26/192.35 [1629]~E(x16291,x16292)+E(f496(x16293,x16294,x16295,x16291),f496(x16293,x16294,x16295,x16292)) % 192.26/192.35 [1630]~E(x16301,x16302)+E(f17(x16301,x16303,x16304,x16305),f17(x16302,x16303,x16304,x16305)) % 192.26/192.35 [1631]~E(x16311,x16312)+E(f17(x16313,x16311,x16314,x16315),f17(x16313,x16312,x16314,x16315)) % 192.26/192.35 [1632]~E(x16321,x16322)+E(f17(x16323,x16324,x16321,x16325),f17(x16323,x16324,x16322,x16325)) % 192.26/192.35 [1633]~E(x16331,x16332)+E(f17(x16333,x16334,x16335,x16331),f17(x16333,x16334,x16335,x16332)) % 192.26/192.35 [1634]~E(x16341,x16342)+E(f882(x16341,x16343,x16344,x16345),f882(x16342,x16343,x16344,x16345)) % 192.26/192.35 [1635]~E(x16351,x16352)+E(f882(x16353,x16351,x16354,x16355),f882(x16353,x16352,x16354,x16355)) % 192.26/192.35 [1636]~E(x16361,x16362)+E(f882(x16363,x16364,x16361,x16365),f882(x16363,x16364,x16362,x16365)) % 192.26/192.35 [1637]~E(x16371,x16372)+E(f882(x16373,x16374,x16375,x16371),f882(x16373,x16374,x16375,x16372)) % 192.26/192.35 [1638]~E(x16381,x16382)+E(f701(x16381,x16383,x16384),f701(x16382,x16383,x16384)) % 192.26/192.35 [1639]~E(x16391,x16392)+E(f701(x16393,x16391,x16394),f701(x16393,x16392,x16394)) % 192.26/192.35 [1640]~E(x16401,x16402)+E(f701(x16403,x16404,x16401),f701(x16403,x16404,x16402)) % 192.26/192.35 [1641]~E(x16411,x16412)+E(f607(x16411,x16413,x16414),f607(x16412,x16413,x16414)) % 192.26/192.35 [1642]~E(x16421,x16422)+E(f607(x16423,x16421,x16424),f607(x16423,x16422,x16424)) % 192.26/192.35 [1643]~E(x16431,x16432)+E(f607(x16433,x16434,x16431),f607(x16433,x16434,x16432)) % 192.26/192.35 [1644]~E(x16441,x16442)+E(f265(x16441,x16443,x16444,x16445),f265(x16442,x16443,x16444,x16445)) % 192.26/192.35 [1645]~E(x16451,x16452)+E(f265(x16453,x16451,x16454,x16455),f265(x16453,x16452,x16454,x16455)) % 192.26/192.35 [1646]~E(x16461,x16462)+E(f265(x16463,x16464,x16461,x16465),f265(x16463,x16464,x16462,x16465)) % 192.26/192.35 [1647]~E(x16471,x16472)+E(f265(x16473,x16474,x16475,x16471),f265(x16473,x16474,x16475,x16472)) % 192.26/192.35 [1648]~E(x16481,x16482)+E(f409(x16481,x16483,x16484),f409(x16482,x16483,x16484)) % 192.26/192.35 [1649]~E(x16491,x16492)+E(f409(x16493,x16491,x16494),f409(x16493,x16492,x16494)) % 192.26/192.35 [1650]~E(x16501,x16502)+E(f409(x16503,x16504,x16501),f409(x16503,x16504,x16502)) % 192.26/192.35 [1651]~E(x16511,x16512)+E(f865(x16511,x16513,x16514,x16515,x16516),f865(x16512,x16513,x16514,x16515,x16516)) % 192.26/192.35 [1652]~E(x16521,x16522)+E(f865(x16523,x16521,x16524,x16525,x16526),f865(x16523,x16522,x16524,x16525,x16526)) % 192.26/192.35 [1653]~E(x16531,x16532)+E(f865(x16533,x16534,x16531,x16535,x16536),f865(x16533,x16534,x16532,x16535,x16536)) % 192.26/192.35 [1654]~E(x16541,x16542)+E(f865(x16543,x16544,x16545,x16541,x16546),f865(x16543,x16544,x16545,x16542,x16546)) % 192.26/192.35 [1655]~E(x16551,x16552)+E(f865(x16553,x16554,x16555,x16556,x16551),f865(x16553,x16554,x16555,x16556,x16552)) % 192.26/192.35 [1656]~E(x16561,x16562)+E(f696(x16561,x16563,x16564,x16565,x16566),f696(x16562,x16563,x16564,x16565,x16566)) % 192.26/192.35 [1657]~E(x16571,x16572)+E(f696(x16573,x16571,x16574,x16575,x16576),f696(x16573,x16572,x16574,x16575,x16576)) % 192.26/192.35 [1658]~E(x16581,x16582)+E(f696(x16583,x16584,x16581,x16585,x16586),f696(x16583,x16584,x16582,x16585,x16586)) % 192.26/192.35 [1659]~E(x16591,x16592)+E(f696(x16593,x16594,x16595,x16591,x16596),f696(x16593,x16594,x16595,x16592,x16596)) % 192.26/192.35 [1660]~E(x16601,x16602)+E(f696(x16603,x16604,x16605,x16606,x16601),f696(x16603,x16604,x16605,x16606,x16602)) % 192.26/192.35 [1661]~E(x16611,x16612)+E(f558(x16611,x16613),f558(x16612,x16613)) % 192.26/192.35 [1662]~E(x16621,x16622)+E(f558(x16623,x16621),f558(x16623,x16622)) % 192.26/192.35 [1663]~E(x16631,x16632)+E(f683(x16631,x16633,x16634,x16635),f683(x16632,x16633,x16634,x16635)) % 192.26/192.35 [1664]~E(x16641,x16642)+E(f683(x16643,x16641,x16644,x16645),f683(x16643,x16642,x16644,x16645)) % 192.26/192.35 [1665]~E(x16651,x16652)+E(f683(x16653,x16654,x16651,x16655),f683(x16653,x16654,x16652,x16655)) % 192.26/192.35 [1666]~E(x16661,x16662)+E(f683(x16663,x16664,x16665,x16661),f683(x16663,x16664,x16665,x16662)) % 192.26/192.35 [1667]~E(x16671,x16672)+E(f729(x16671,x16673),f729(x16672,x16673)) % 192.26/192.35 [1668]~E(x16681,x16682)+E(f729(x16683,x16681),f729(x16683,x16682)) % 192.26/192.35 [1669]~E(x16691,x16692)+E(f224(x16691,x16693,x16694),f224(x16692,x16693,x16694)) % 192.26/192.35 [1670]~E(x16701,x16702)+E(f224(x16703,x16701,x16704),f224(x16703,x16702,x16704)) % 192.26/192.35 [1671]~E(x16711,x16712)+E(f224(x16713,x16714,x16711),f224(x16713,x16714,x16712)) % 192.26/192.35 [1672]~E(x16721,x16722)+E(f436(x16721,x16723),f436(x16722,x16723)) % 192.26/192.35 [1673]~E(x16731,x16732)+E(f436(x16733,x16731),f436(x16733,x16732)) % 192.26/192.35 [1674]~E(x16741,x16742)+E(f780(x16741,x16743,x16744),f780(x16742,x16743,x16744)) % 192.26/192.35 [1675]~E(x16751,x16752)+E(f780(x16753,x16751,x16754),f780(x16753,x16752,x16754)) % 192.26/192.35 [1676]~E(x16761,x16762)+E(f780(x16763,x16764,x16761),f780(x16763,x16764,x16762)) % 192.26/192.35 [1677]~E(x16771,x16772)+E(f299(x16771,x16773),f299(x16772,x16773)) % 192.26/192.35 [1678]~E(x16781,x16782)+E(f299(x16783,x16781),f299(x16783,x16782)) % 192.26/192.35 [1679]~E(x16791,x16792)+E(f752(x16791,x16793),f752(x16792,x16793)) % 192.26/192.35 [1680]~E(x16801,x16802)+E(f752(x16803,x16801),f752(x16803,x16802)) % 192.26/192.35 [1681]~E(x16811,x16812)+E(f822(x16811,x16813,x16814,x16815,x16816,x16817,x16818),f822(x16812,x16813,x16814,x16815,x16816,x16817,x16818)) % 192.26/192.35 [1682]~E(x16821,x16822)+E(f822(x16823,x16821,x16824,x16825,x16826,x16827,x16828),f822(x16823,x16822,x16824,x16825,x16826,x16827,x16828)) % 192.26/192.35 [1683]~E(x16831,x16832)+E(f822(x16833,x16834,x16831,x16835,x16836,x16837,x16838),f822(x16833,x16834,x16832,x16835,x16836,x16837,x16838)) % 192.26/192.35 [1684]~E(x16841,x16842)+E(f822(x16843,x16844,x16845,x16841,x16846,x16847,x16848),f822(x16843,x16844,x16845,x16842,x16846,x16847,x16848)) % 192.26/192.35 [1685]~E(x16851,x16852)+E(f822(x16853,x16854,x16855,x16856,x16851,x16857,x16858),f822(x16853,x16854,x16855,x16856,x16852,x16857,x16858)) % 192.26/192.35 [1686]~E(x16861,x16862)+E(f822(x16863,x16864,x16865,x16866,x16867,x16861,x16868),f822(x16863,x16864,x16865,x16866,x16867,x16862,x16868)) % 192.26/192.35 [1687]~E(x16871,x16872)+E(f822(x16873,x16874,x16875,x16876,x16877,x16878,x16871),f822(x16873,x16874,x16875,x16876,x16877,x16878,x16872)) % 192.26/192.35 [1688]~E(x16881,x16882)+E(f327(x16881),f327(x16882)) % 192.26/192.35 [1689]~E(x16891,x16892)+E(f171(x16891,x16893,x16894),f171(x16892,x16893,x16894)) % 192.26/192.35 [1690]~E(x16901,x16902)+E(f171(x16903,x16901,x16904),f171(x16903,x16902,x16904)) % 192.26/192.35 [1691]~E(x16911,x16912)+E(f171(x16913,x16914,x16911),f171(x16913,x16914,x16912)) % 192.26/192.35 [1692]~E(x16921,x16922)+E(f633(x16921,x16923),f633(x16922,x16923)) % 192.26/192.35 [1693]~E(x16931,x16932)+E(f633(x16933,x16931),f633(x16933,x16932)) % 192.26/192.35 [1694]~E(x16941,x16942)+E(f314(x16941,x16943,x16944,x16945,x16946,x16947,x16948,x16949),f314(x16942,x16943,x16944,x16945,x16946,x16947,x16948,x16949)) % 192.26/192.35 [1695]~E(x16951,x16952)+E(f314(x16953,x16951,x16954,x16955,x16956,x16957,x16958,x16959),f314(x16953,x16952,x16954,x16955,x16956,x16957,x16958,x16959)) % 192.26/192.35 [1696]~E(x16961,x16962)+E(f314(x16963,x16964,x16961,x16965,x16966,x16967,x16968,x16969),f314(x16963,x16964,x16962,x16965,x16966,x16967,x16968,x16969)) % 192.26/192.35 [1697]~E(x16971,x16972)+E(f314(x16973,x16974,x16975,x16971,x16976,x16977,x16978,x16979),f314(x16973,x16974,x16975,x16972,x16976,x16977,x16978,x16979)) % 192.26/192.35 [1698]~E(x16981,x16982)+E(f314(x16983,x16984,x16985,x16986,x16981,x16987,x16988,x16989),f314(x16983,x16984,x16985,x16986,x16982,x16987,x16988,x16989)) % 192.26/192.35 [1699]~E(x16991,x16992)+E(f314(x16993,x16994,x16995,x16996,x16997,x16991,x16998,x16999),f314(x16993,x16994,x16995,x16996,x16997,x16992,x16998,x16999)) % 192.26/192.35 [1700]~E(x17001,x17002)+E(f314(x17003,x17004,x17005,x17006,x17007,x17008,x17001,x17009),f314(x17003,x17004,x17005,x17006,x17007,x17008,x17002,x17009)) % 192.26/192.35 [1701]~E(x17011,x17012)+E(f314(x17013,x17014,x17015,x17016,x17017,x17018,x17019,x17011),f314(x17013,x17014,x17015,x17016,x17017,x17018,x17019,x17012)) % 192.26/192.35 [1702]~E(x17021,x17022)+E(f357(x17021,x17023,x17024,x17025),f357(x17022,x17023,x17024,x17025)) % 192.26/192.35 [1703]~E(x17031,x17032)+E(f357(x17033,x17031,x17034,x17035),f357(x17033,x17032,x17034,x17035)) % 192.26/192.35 [1704]~E(x17041,x17042)+E(f357(x17043,x17044,x17041,x17045),f357(x17043,x17044,x17042,x17045)) % 192.26/192.35 [1705]~E(x17051,x17052)+E(f357(x17053,x17054,x17055,x17051),f357(x17053,x17054,x17055,x17052)) % 192.26/192.35 [1706]~E(x17061,x17062)+E(f835(x17061,x17063,x17064,x17065,x17066,x17067),f835(x17062,x17063,x17064,x17065,x17066,x17067)) % 192.26/192.35 [1707]~E(x17071,x17072)+E(f835(x17073,x17071,x17074,x17075,x17076,x17077),f835(x17073,x17072,x17074,x17075,x17076,x17077)) % 192.26/192.35 [1708]~E(x17081,x17082)+E(f835(x17083,x17084,x17081,x17085,x17086,x17087),f835(x17083,x17084,x17082,x17085,x17086,x17087)) % 192.26/192.35 [1709]~E(x17091,x17092)+E(f835(x17093,x17094,x17095,x17091,x17096,x17097),f835(x17093,x17094,x17095,x17092,x17096,x17097)) % 192.26/192.35 [1710]~E(x17101,x17102)+E(f835(x17103,x17104,x17105,x17106,x17101,x17107),f835(x17103,x17104,x17105,x17106,x17102,x17107)) % 192.26/192.35 [1711]~E(x17111,x17112)+E(f835(x17113,x17114,x17115,x17116,x17117,x17111),f835(x17113,x17114,x17115,x17116,x17117,x17112)) % 192.26/192.35 [1712]~E(x17121,x17122)+E(f567(x17121,x17123,x17124,x17125,x17126,x17127,x17128),f567(x17122,x17123,x17124,x17125,x17126,x17127,x17128)) % 192.26/192.35 [1713]~E(x17131,x17132)+E(f567(x17133,x17131,x17134,x17135,x17136,x17137,x17138),f567(x17133,x17132,x17134,x17135,x17136,x17137,x17138)) % 192.26/192.35 [1714]~E(x17141,x17142)+E(f567(x17143,x17144,x17141,x17145,x17146,x17147,x17148),f567(x17143,x17144,x17142,x17145,x17146,x17147,x17148)) % 192.26/192.35 [1715]~E(x17151,x17152)+E(f567(x17153,x17154,x17155,x17151,x17156,x17157,x17158),f567(x17153,x17154,x17155,x17152,x17156,x17157,x17158)) % 192.26/192.35 [1716]~E(x17161,x17162)+E(f567(x17163,x17164,x17165,x17166,x17161,x17167,x17168),f567(x17163,x17164,x17165,x17166,x17162,x17167,x17168)) % 192.26/192.35 [1717]~E(x17171,x17172)+E(f567(x17173,x17174,x17175,x17176,x17177,x17171,x17178),f567(x17173,x17174,x17175,x17176,x17177,x17172,x17178)) % 192.26/192.35 [1718]~E(x17181,x17182)+E(f567(x17183,x17184,x17185,x17186,x17187,x17188,x17181),f567(x17183,x17184,x17185,x17186,x17187,x17188,x17182)) % 192.26/192.35 [1719]~E(x17191,x17192)+E(f796(x17191,x17193,x17194,x17195,x17196,x17197),f796(x17192,x17193,x17194,x17195,x17196,x17197)) % 192.26/192.35 [1720]~E(x17201,x17202)+E(f796(x17203,x17201,x17204,x17205,x17206,x17207),f796(x17203,x17202,x17204,x17205,x17206,x17207)) % 192.26/192.35 [1721]~E(x17211,x17212)+E(f796(x17213,x17214,x17211,x17215,x17216,x17217),f796(x17213,x17214,x17212,x17215,x17216,x17217)) % 192.26/192.35 [1722]~E(x17221,x17222)+E(f796(x17223,x17224,x17225,x17221,x17226,x17227),f796(x17223,x17224,x17225,x17222,x17226,x17227)) % 192.26/192.35 [1723]~E(x17231,x17232)+E(f796(x17233,x17234,x17235,x17236,x17231,x17237),f796(x17233,x17234,x17235,x17236,x17232,x17237)) % 192.26/192.35 [1724]~E(x17241,x17242)+E(f796(x17243,x17244,x17245,x17246,x17247,x17241),f796(x17243,x17244,x17245,x17246,x17247,x17242)) % 192.26/192.35 [1725]~E(x17251,x17252)+E(f506(x17251,x17253,x17254,x17255),f506(x17252,x17253,x17254,x17255)) % 192.26/192.35 [1726]~E(x17261,x17262)+E(f506(x17263,x17261,x17264,x17265),f506(x17263,x17262,x17264,x17265)) % 192.26/192.35 [1727]~E(x17271,x17272)+E(f506(x17273,x17274,x17271,x17275),f506(x17273,x17274,x17272,x17275)) % 192.26/192.35 [1728]~E(x17281,x17282)+E(f506(x17283,x17284,x17285,x17281),f506(x17283,x17284,x17285,x17282)) % 192.26/192.35 [1729]~E(x17291,x17292)+E(f777(x17291,x17293,x17294,x17295,x17296,x17297),f777(x17292,x17293,x17294,x17295,x17296,x17297)) % 192.26/192.35 [1730]~E(x17301,x17302)+E(f777(x17303,x17301,x17304,x17305,x17306,x17307),f777(x17303,x17302,x17304,x17305,x17306,x17307)) % 192.26/192.35 [1731]~E(x17311,x17312)+E(f777(x17313,x17314,x17311,x17315,x17316,x17317),f777(x17313,x17314,x17312,x17315,x17316,x17317)) % 192.26/192.35 [1732]~E(x17321,x17322)+E(f777(x17323,x17324,x17325,x17321,x17326,x17327),f777(x17323,x17324,x17325,x17322,x17326,x17327)) % 192.26/192.35 [1733]~E(x17331,x17332)+E(f777(x17333,x17334,x17335,x17336,x17331,x17337),f777(x17333,x17334,x17335,x17336,x17332,x17337)) % 192.26/192.35 [1734]~E(x17341,x17342)+E(f777(x17343,x17344,x17345,x17346,x17347,x17341),f777(x17343,x17344,x17345,x17346,x17347,x17342)) % 192.26/192.35 [1735]~E(x17351,x17352)+E(f359(x17351,x17353,x17354,x17355,x17356,x17357,x17358),f359(x17352,x17353,x17354,x17355,x17356,x17357,x17358)) % 192.26/192.35 [1736]~E(x17361,x17362)+E(f359(x17363,x17361,x17364,x17365,x17366,x17367,x17368),f359(x17363,x17362,x17364,x17365,x17366,x17367,x17368)) % 192.26/192.35 [1737]~E(x17371,x17372)+E(f359(x17373,x17374,x17371,x17375,x17376,x17377,x17378),f359(x17373,x17374,x17372,x17375,x17376,x17377,x17378)) % 192.26/192.35 [1738]~E(x17381,x17382)+E(f359(x17383,x17384,x17385,x17381,x17386,x17387,x17388),f359(x17383,x17384,x17385,x17382,x17386,x17387,x17388)) % 192.26/192.35 [1739]~E(x17391,x17392)+E(f359(x17393,x17394,x17395,x17396,x17391,x17397,x17398),f359(x17393,x17394,x17395,x17396,x17392,x17397,x17398)) % 192.26/192.35 [1740]~E(x17401,x17402)+E(f359(x17403,x17404,x17405,x17406,x17407,x17401,x17408),f359(x17403,x17404,x17405,x17406,x17407,x17402,x17408)) % 192.26/192.35 [1741]~E(x17411,x17412)+E(f359(x17413,x17414,x17415,x17416,x17417,x17418,x17411),f359(x17413,x17414,x17415,x17416,x17417,x17418,x17412)) % 192.26/192.35 [1742]~E(x17421,x17422)+E(f555(x17421,x17423,x17424),f555(x17422,x17423,x17424)) % 192.26/192.35 [1743]~E(x17431,x17432)+E(f555(x17433,x17431,x17434),f555(x17433,x17432,x17434)) % 192.26/192.35 [1744]~E(x17441,x17442)+E(f555(x17443,x17444,x17441),f555(x17443,x17444,x17442)) % 192.26/192.35 [1745]~E(x17451,x17452)+E(f494(x17451,x17453,x17454,x17455),f494(x17452,x17453,x17454,x17455)) % 192.26/192.35 [1746]~E(x17461,x17462)+E(f494(x17463,x17461,x17464,x17465),f494(x17463,x17462,x17464,x17465)) % 192.26/192.35 [1747]~E(x17471,x17472)+E(f494(x17473,x17474,x17471,x17475),f494(x17473,x17474,x17472,x17475)) % 192.26/192.35 [1748]~E(x17481,x17482)+E(f494(x17483,x17484,x17485,x17481),f494(x17483,x17484,x17485,x17482)) % 192.26/192.35 [1749]~E(x17491,x17492)+E(f223(x17491,x17493),f223(x17492,x17493)) % 192.26/192.35 [1750]~E(x17501,x17502)+E(f223(x17503,x17501),f223(x17503,x17502)) % 192.26/192.35 [1751]~E(x17511,x17512)+E(f875(x17511,x17513,x17514,x17515,x17516),f875(x17512,x17513,x17514,x17515,x17516)) % 192.26/192.35 [1752]~E(x17521,x17522)+E(f875(x17523,x17521,x17524,x17525,x17526),f875(x17523,x17522,x17524,x17525,x17526)) % 192.26/192.35 [1753]~E(x17531,x17532)+E(f875(x17533,x17534,x17531,x17535,x17536),f875(x17533,x17534,x17532,x17535,x17536)) % 192.26/192.35 [1754]~E(x17541,x17542)+E(f875(x17543,x17544,x17545,x17541,x17546),f875(x17543,x17544,x17545,x17542,x17546)) % 192.26/192.35 [1755]~E(x17551,x17552)+E(f875(x17553,x17554,x17555,x17556,x17551),f875(x17553,x17554,x17555,x17556,x17552)) % 192.26/192.35 [1756]~E(x17561,x17562)+E(f589(x17561,x17563),f589(x17562,x17563)) % 192.26/192.35 [1757]~E(x17571,x17572)+E(f589(x17573,x17571),f589(x17573,x17572)) % 192.26/192.35 [1758]~E(x17581,x17582)+E(f699(x17581,x17583),f699(x17582,x17583)) % 192.26/192.35 [1759]~E(x17591,x17592)+E(f699(x17593,x17591),f699(x17593,x17592)) % 192.26/192.35 [1760]~E(x17601,x17602)+E(f866(x17601,x17603,x17604,x17605),f866(x17602,x17603,x17604,x17605)) % 192.26/192.35 [1761]~E(x17611,x17612)+E(f866(x17613,x17611,x17614,x17615),f866(x17613,x17612,x17614,x17615)) % 192.26/192.35 [1762]~E(x17621,x17622)+E(f866(x17623,x17624,x17621,x17625),f866(x17623,x17624,x17622,x17625)) % 192.26/192.35 [1763]~E(x17631,x17632)+E(f866(x17633,x17634,x17635,x17631),f866(x17633,x17634,x17635,x17632)) % 192.26/192.35 [1764]~E(x17641,x17642)+E(f523(x17641,x17643),f523(x17642,x17643)) % 192.26/192.35 [1765]~E(x17651,x17652)+E(f523(x17653,x17651),f523(x17653,x17652)) % 192.26/192.35 [1766]~E(x17661,x17662)+E(f636(x17661,x17663,x17664),f636(x17662,x17663,x17664)) % 192.26/192.35 [1767]~E(x17671,x17672)+E(f636(x17673,x17671,x17674),f636(x17673,x17672,x17674)) % 192.26/192.35 [1768]~E(x17681,x17682)+E(f636(x17683,x17684,x17681),f636(x17683,x17684,x17682)) % 192.26/192.35 [1769]~E(x17691,x17692)+E(f464(x17691,x17693),f464(x17692,x17693)) % 192.26/192.35 [1770]~E(x17701,x17702)+E(f464(x17703,x17701),f464(x17703,x17702)) % 192.26/192.35 [1771]~E(x17711,x17712)+E(f547(x17711,x17713,x17714),f547(x17712,x17713,x17714)) % 192.26/192.35 [1772]~E(x17721,x17722)+E(f547(x17723,x17721,x17724),f547(x17723,x17722,x17724)) % 192.26/192.35 [1773]~E(x17731,x17732)+E(f547(x17733,x17734,x17731),f547(x17733,x17734,x17732)) % 192.26/192.35 [1774]~E(x17741,x17742)+E(f785(x17741,x17743,x17744,x17745,x17746),f785(x17742,x17743,x17744,x17745,x17746)) % 192.26/192.35 [1775]~E(x17751,x17752)+E(f785(x17753,x17751,x17754,x17755,x17756),f785(x17753,x17752,x17754,x17755,x17756)) % 192.26/192.35 [1776]~E(x17761,x17762)+E(f785(x17763,x17764,x17761,x17765,x17766),f785(x17763,x17764,x17762,x17765,x17766)) % 192.26/192.35 [1777]~E(x17771,x17772)+E(f785(x17773,x17774,x17775,x17771,x17776),f785(x17773,x17774,x17775,x17772,x17776)) % 192.26/192.35 [1778]~E(x17781,x17782)+E(f785(x17783,x17784,x17785,x17786,x17781),f785(x17783,x17784,x17785,x17786,x17782)) % 192.26/192.35 [1779]~E(x17791,x17792)+E(f577(x17791,x17793,x17794),f577(x17792,x17793,x17794)) % 192.26/192.35 [1780]~E(x17801,x17802)+E(f577(x17803,x17801,x17804),f577(x17803,x17802,x17804)) % 192.26/192.35 [1781]~E(x17811,x17812)+E(f577(x17813,x17814,x17811),f577(x17813,x17814,x17812)) % 192.26/192.35 [1782]~E(x17821,x17822)+E(f139(x17821,x17823,x17824,x17825),f139(x17822,x17823,x17824,x17825)) % 192.26/192.35 [1783]~E(x17831,x17832)+E(f139(x17833,x17831,x17834,x17835),f139(x17833,x17832,x17834,x17835)) % 192.26/192.35 [1784]~E(x17841,x17842)+E(f139(x17843,x17844,x17841,x17845),f139(x17843,x17844,x17842,x17845)) % 192.26/192.35 [1785]~E(x17851,x17852)+E(f139(x17853,x17854,x17855,x17851),f139(x17853,x17854,x17855,x17852)) % 192.26/192.35 [1786]~E(x17861,x17862)+E(f881(x17861,x17863,x17864),f881(x17862,x17863,x17864)) % 192.26/192.35 [1787]~E(x17871,x17872)+E(f881(x17873,x17871,x17874),f881(x17873,x17872,x17874)) % 192.26/192.35 [1788]~E(x17881,x17882)+E(f881(x17883,x17884,x17881),f881(x17883,x17884,x17882)) % 192.26/192.35 [1789]~E(x17891,x17892)+E(f266(x17891,x17893,x17894,x17895,x17896),f266(x17892,x17893,x17894,x17895,x17896)) % 192.26/192.35 [1790]~E(x17901,x17902)+E(f266(x17903,x17901,x17904,x17905,x17906),f266(x17903,x17902,x17904,x17905,x17906)) % 192.26/192.35 [1791]~E(x17911,x17912)+E(f266(x17913,x17914,x17911,x17915,x17916),f266(x17913,x17914,x17912,x17915,x17916)) % 192.26/192.35 [1792]~E(x17921,x17922)+E(f266(x17923,x17924,x17925,x17921,x17926),f266(x17923,x17924,x17925,x17922,x17926)) % 192.26/192.35 [1793]~E(x17931,x17932)+E(f266(x17933,x17934,x17935,x17936,x17931),f266(x17933,x17934,x17935,x17936,x17932)) % 192.26/192.35 [1794]~E(x17941,x17942)+E(f493(x17941,x17943,x17944),f493(x17942,x17943,x17944)) % 192.26/192.35 [1795]~E(x17951,x17952)+E(f493(x17953,x17951,x17954),f493(x17953,x17952,x17954)) % 192.26/192.35 [1796]~E(x17961,x17962)+E(f493(x17963,x17964,x17961),f493(x17963,x17964,x17962)) % 192.26/192.35 [1797]~E(x17971,x17972)+E(f634(x17971,x17973,x17974),f634(x17972,x17973,x17974)) % 192.26/192.35 [1798]~E(x17981,x17982)+E(f634(x17983,x17981,x17984),f634(x17983,x17982,x17984)) % 192.26/192.35 [1799]~E(x17991,x17992)+E(f634(x17993,x17994,x17991),f634(x17993,x17994,x17992)) % 192.26/192.35 [1800]~E(x18001,x18002)+E(f370(x18001),f370(x18002)) % 192.26/192.35 [1801]~E(x18011,x18012)+E(f600(x18011,x18013),f600(x18012,x18013)) % 192.26/192.35 [1802]~E(x18021,x18022)+E(f600(x18023,x18021),f600(x18023,x18022)) % 192.26/192.35 [1803]~E(x18031,x18032)+E(f334(x18031,x18033,x18034),f334(x18032,x18033,x18034)) % 192.26/192.35 [1804]~E(x18041,x18042)+E(f334(x18043,x18041,x18044),f334(x18043,x18042,x18044)) % 192.26/192.35 [1805]~E(x18051,x18052)+E(f334(x18053,x18054,x18051),f334(x18053,x18054,x18052)) % 192.26/192.35 [1806]~E(x18061,x18062)+E(f643(x18061,x18063,x18064),f643(x18062,x18063,x18064)) % 192.26/192.35 [1807]~E(x18071,x18072)+E(f643(x18073,x18071,x18074),f643(x18073,x18072,x18074)) % 192.26/192.35 [1808]~E(x18081,x18082)+E(f643(x18083,x18084,x18081),f643(x18083,x18084,x18082)) % 192.26/192.35 [1809]~E(x18091,x18092)+E(f452(x18091,x18093,x18094,x18095,x18096,x18097),f452(x18092,x18093,x18094,x18095,x18096,x18097)) % 192.26/192.35 [1810]~E(x18101,x18102)+E(f452(x18103,x18101,x18104,x18105,x18106,x18107),f452(x18103,x18102,x18104,x18105,x18106,x18107)) % 192.26/192.35 [1811]~E(x18111,x18112)+E(f452(x18113,x18114,x18111,x18115,x18116,x18117),f452(x18113,x18114,x18112,x18115,x18116,x18117)) % 192.26/192.35 [1812]~E(x18121,x18122)+E(f452(x18123,x18124,x18125,x18121,x18126,x18127),f452(x18123,x18124,x18125,x18122,x18126,x18127)) % 192.26/192.35 [1813]~E(x18131,x18132)+E(f452(x18133,x18134,x18135,x18136,x18131,x18137),f452(x18133,x18134,x18135,x18136,x18132,x18137)) % 192.26/192.35 [1814]~E(x18141,x18142)+E(f452(x18143,x18144,x18145,x18146,x18147,x18141),f452(x18143,x18144,x18145,x18146,x18147,x18142)) % 192.26/192.35 [1815]~E(x18151,x18152)+E(f751(x18151,x18153,x18154,x18155),f751(x18152,x18153,x18154,x18155)) % 192.26/192.35 [1816]~E(x18161,x18162)+E(f751(x18163,x18161,x18164,x18165),f751(x18163,x18162,x18164,x18165)) % 192.26/192.35 [1817]~E(x18171,x18172)+E(f751(x18173,x18174,x18171,x18175),f751(x18173,x18174,x18172,x18175)) % 192.26/192.35 [1818]~E(x18181,x18182)+E(f751(x18183,x18184,x18185,x18181),f751(x18183,x18184,x18185,x18182)) % 192.26/192.35 [1819]~E(x18191,x18192)+E(f319(x18191,x18193,x18194,x18195),f319(x18192,x18193,x18194,x18195)) % 192.26/192.35 [1820]~E(x18201,x18202)+E(f319(x18203,x18201,x18204,x18205),f319(x18203,x18202,x18204,x18205)) % 192.26/192.35 [1821]~E(x18211,x18212)+E(f319(x18213,x18214,x18211,x18215),f319(x18213,x18214,x18212,x18215)) % 192.26/192.35 [1822]~E(x18221,x18222)+E(f319(x18223,x18224,x18225,x18221),f319(x18223,x18224,x18225,x18222)) % 192.26/192.35 [1823]~E(x18231,x18232)+E(f477(x18231,x18233),f477(x18232,x18233)) % 192.26/192.35 [1824]~E(x18241,x18242)+E(f477(x18243,x18241),f477(x18243,x18242)) % 192.26/192.35 [1825]~E(x18251,x18252)+E(f487(x18251,x18253),f487(x18252,x18253)) % 192.26/192.35 [1826]~E(x18261,x18262)+E(f487(x18263,x18261),f487(x18263,x18262)) % 192.26/192.35 [1827]~E(x18271,x18272)+E(f825(x18271,x18273,x18274,x18275),f825(x18272,x18273,x18274,x18275)) % 192.26/192.35 [1828]~E(x18281,x18282)+E(f825(x18283,x18281,x18284,x18285),f825(x18283,x18282,x18284,x18285)) % 192.26/192.35 [1829]~E(x18291,x18292)+E(f825(x18293,x18294,x18291,x18295),f825(x18293,x18294,x18292,x18295)) % 192.26/192.35 [1830]~E(x18301,x18302)+E(f825(x18303,x18304,x18305,x18301),f825(x18303,x18304,x18305,x18302)) % 192.26/192.35 [1831]~E(x18311,x18312)+E(f345(x18311,x18313,x18314,x18315,x18316),f345(x18312,x18313,x18314,x18315,x18316)) % 192.26/192.35 [1832]~E(x18321,x18322)+E(f345(x18323,x18321,x18324,x18325,x18326),f345(x18323,x18322,x18324,x18325,x18326)) % 192.26/192.35 [1833]~E(x18331,x18332)+E(f345(x18333,x18334,x18331,x18335,x18336),f345(x18333,x18334,x18332,x18335,x18336)) % 192.26/192.35 [1834]~E(x18341,x18342)+E(f345(x18343,x18344,x18345,x18341,x18346),f345(x18343,x18344,x18345,x18342,x18346)) % 192.26/192.35 [1835]~E(x18351,x18352)+E(f345(x18353,x18354,x18355,x18356,x18351),f345(x18353,x18354,x18355,x18356,x18352)) % 192.26/192.35 [1836]~E(x18361,x18362)+E(f132(x18361,x18363),f132(x18362,x18363)) % 192.26/192.35 [1837]~E(x18371,x18372)+E(f132(x18373,x18371),f132(x18373,x18372)) % 192.26/192.35 [1838]~E(x18381,x18382)+E(f832(x18381,x18383,x18384),f832(x18382,x18383,x18384)) % 192.26/192.35 [1839]~E(x18391,x18392)+E(f832(x18393,x18391,x18394),f832(x18393,x18392,x18394)) % 192.26/192.35 [1840]~E(x18401,x18402)+E(f832(x18403,x18404,x18401),f832(x18403,x18404,x18402)) % 192.26/192.35 [1841]~E(x18411,x18412)+E(f585(x18411,x18413,x18414,x18415,x18416,x18417,x18418),f585(x18412,x18413,x18414,x18415,x18416,x18417,x18418)) % 192.26/192.35 [1842]~E(x18421,x18422)+E(f585(x18423,x18421,x18424,x18425,x18426,x18427,x18428),f585(x18423,x18422,x18424,x18425,x18426,x18427,x18428)) % 192.26/192.35 [1843]~E(x18431,x18432)+E(f585(x18433,x18434,x18431,x18435,x18436,x18437,x18438),f585(x18433,x18434,x18432,x18435,x18436,x18437,x18438)) % 192.26/192.35 [1844]~E(x18441,x18442)+E(f585(x18443,x18444,x18445,x18441,x18446,x18447,x18448),f585(x18443,x18444,x18445,x18442,x18446,x18447,x18448)) % 192.26/192.35 [1845]~E(x18451,x18452)+E(f585(x18453,x18454,x18455,x18456,x18451,x18457,x18458),f585(x18453,x18454,x18455,x18456,x18452,x18457,x18458)) % 192.26/192.35 [1846]~E(x18461,x18462)+E(f585(x18463,x18464,x18465,x18466,x18467,x18461,x18468),f585(x18463,x18464,x18465,x18466,x18467,x18462,x18468)) % 192.26/192.35 [1847]~E(x18471,x18472)+E(f585(x18473,x18474,x18475,x18476,x18477,x18478,x18471),f585(x18473,x18474,x18475,x18476,x18477,x18478,x18472)) % 192.26/192.35 [1848]~E(x18481,x18482)+E(f362(x18481,x18483,x18484,x18485),f362(x18482,x18483,x18484,x18485)) % 192.26/192.35 [1849]~E(x18491,x18492)+E(f362(x18493,x18491,x18494,x18495),f362(x18493,x18492,x18494,x18495)) % 192.26/192.35 [1850]~E(x18501,x18502)+E(f362(x18503,x18504,x18501,x18505),f362(x18503,x18504,x18502,x18505)) % 192.26/192.35 [1851]~E(x18511,x18512)+E(f362(x18513,x18514,x18515,x18511),f362(x18513,x18514,x18515,x18512)) % 192.26/192.35 [1852]~E(x18521,x18522)+E(f765(x18521,x18523,x18524),f765(x18522,x18523,x18524)) % 192.26/192.35 [1853]~E(x18531,x18532)+E(f765(x18533,x18531,x18534),f765(x18533,x18532,x18534)) % 192.26/192.35 [1854]~E(x18541,x18542)+E(f765(x18543,x18544,x18541),f765(x18543,x18544,x18542)) % 192.26/192.35 [1855]~E(x18551,x18552)+E(f522(x18551,x18553,x18554,x18555),f522(x18552,x18553,x18554,x18555)) % 192.26/192.35 [1856]~E(x18561,x18562)+E(f522(x18563,x18561,x18564,x18565),f522(x18563,x18562,x18564,x18565)) % 192.26/192.35 [1857]~E(x18571,x18572)+E(f522(x18573,x18574,x18571,x18575),f522(x18573,x18574,x18572,x18575)) % 192.26/192.35 [1858]~E(x18581,x18582)+E(f522(x18583,x18584,x18585,x18581),f522(x18583,x18584,x18585,x18582)) % 192.26/192.35 [1859]~E(x18591,x18592)+E(f753(x18591,x18593),f753(x18592,x18593)) % 192.26/192.35 [1860]~E(x18601,x18602)+E(f753(x18603,x18601),f753(x18603,x18602)) % 192.26/192.35 [1861]~E(x18611,x18612)+E(f838(x18611,x18613,x18614),f838(x18612,x18613,x18614)) % 192.26/192.35 [1862]~E(x18621,x18622)+E(f838(x18623,x18621,x18624),f838(x18623,x18622,x18624)) % 192.26/192.35 [1863]~E(x18631,x18632)+E(f838(x18633,x18634,x18631),f838(x18633,x18634,x18632)) % 192.26/192.35 [1864]~E(x18641,x18642)+E(f889(x18641,x18643,x18644),f889(x18642,x18643,x18644)) % 192.26/192.35 [1865]~E(x18651,x18652)+E(f889(x18653,x18651,x18654),f889(x18653,x18652,x18654)) % 192.26/192.35 [1866]~E(x18661,x18662)+E(f889(x18663,x18664,x18661),f889(x18663,x18664,x18662)) % 192.26/192.35 [1867]~E(x18671,x18672)+E(f611(x18671,x18673,x18674),f611(x18672,x18673,x18674)) % 192.26/192.35 [1868]~E(x18681,x18682)+E(f611(x18683,x18681,x18684),f611(x18683,x18682,x18684)) % 192.26/192.35 [1869]~E(x18691,x18692)+E(f611(x18693,x18694,x18691),f611(x18693,x18694,x18692)) % 192.26/192.35 [1870]~E(x18701,x18702)+E(f200(x18701,x18703,x18704,x18705),f200(x18702,x18703,x18704,x18705)) % 192.26/192.35 [1871]~E(x18711,x18712)+E(f200(x18713,x18711,x18714,x18715),f200(x18713,x18712,x18714,x18715)) % 192.26/192.35 [1872]~E(x18721,x18722)+E(f200(x18723,x18724,x18721,x18725),f200(x18723,x18724,x18722,x18725)) % 192.26/192.35 [1873]~E(x18731,x18732)+E(f200(x18733,x18734,x18735,x18731),f200(x18733,x18734,x18735,x18732)) % 192.26/192.35 [1874]~E(x18741,x18742)+E(f403(x18741,x18743),f403(x18742,x18743)) % 192.26/192.35 [1875]~E(x18751,x18752)+E(f403(x18753,x18751),f403(x18753,x18752)) % 192.26/192.35 [1876]~E(x18761,x18762)+E(f687(x18761,x18763),f687(x18762,x18763)) % 192.26/192.35 [1877]~E(x18771,x18772)+E(f687(x18773,x18771),f687(x18773,x18772)) % 192.26/192.35 [1878]~E(x18781,x18782)+E(f180(x18781),f180(x18782)) % 192.26/192.35 [1879]~E(x18791,x18792)+E(f337(x18791,x18793,x18794),f337(x18792,x18793,x18794)) % 192.26/192.35 [1880]~E(x18801,x18802)+E(f337(x18803,x18801,x18804),f337(x18803,x18802,x18804)) % 192.26/192.35 [1881]~E(x18811,x18812)+E(f337(x18813,x18814,x18811),f337(x18813,x18814,x18812)) % 192.26/192.35 [1882]~E(x18821,x18822)+E(f817(x18821,x18823,x18824),f817(x18822,x18823,x18824)) % 192.26/192.35 [1883]~E(x18831,x18832)+E(f817(x18833,x18831,x18834),f817(x18833,x18832,x18834)) % 192.26/192.35 [1884]~E(x18841,x18842)+E(f817(x18843,x18844,x18841),f817(x18843,x18844,x18842)) % 192.26/192.35 [1885]~E(x18851,x18852)+E(f535(x18851,x18853,x18854),f535(x18852,x18853,x18854)) % 192.26/192.35 [1886]~E(x18861,x18862)+E(f535(x18863,x18861,x18864),f535(x18863,x18862,x18864)) % 192.26/192.35 [1887]~E(x18871,x18872)+E(f535(x18873,x18874,x18871),f535(x18873,x18874,x18872)) % 192.26/192.35 [1888]~E(x18881,x18882)+E(f542(x18881,x18883,x18884,x18885,x18886),f542(x18882,x18883,x18884,x18885,x18886)) % 192.26/192.35 [1889]~E(x18891,x18892)+E(f542(x18893,x18891,x18894,x18895,x18896),f542(x18893,x18892,x18894,x18895,x18896)) % 192.26/192.35 [1890]~E(x18901,x18902)+E(f542(x18903,x18904,x18901,x18905,x18906),f542(x18903,x18904,x18902,x18905,x18906)) % 192.26/192.35 [1891]~E(x18911,x18912)+E(f542(x18913,x18914,x18915,x18911,x18916),f542(x18913,x18914,x18915,x18912,x18916)) % 192.26/192.35 [1892]~E(x18921,x18922)+E(f542(x18923,x18924,x18925,x18926,x18921),f542(x18923,x18924,x18925,x18926,x18922)) % 192.26/192.35 [1893]~E(x18931,x18932)+E(f783(x18931,x18933,x18934,x18935,x18936),f783(x18932,x18933,x18934,x18935,x18936)) % 192.26/192.35 [1894]~E(x18941,x18942)+E(f783(x18943,x18941,x18944,x18945,x18946),f783(x18943,x18942,x18944,x18945,x18946)) % 192.26/192.35 [1895]~E(x18951,x18952)+E(f783(x18953,x18954,x18951,x18955,x18956),f783(x18953,x18954,x18952,x18955,x18956)) % 192.26/192.35 [1896]~E(x18961,x18962)+E(f783(x18963,x18964,x18965,x18961,x18966),f783(x18963,x18964,x18965,x18962,x18966)) % 192.26/192.35 [1897]~E(x18971,x18972)+E(f783(x18973,x18974,x18975,x18976,x18971),f783(x18973,x18974,x18975,x18976,x18972)) % 192.26/192.35 [1898]~E(x18981,x18982)+E(f190(x18981,x18983),f190(x18982,x18983)) % 192.26/192.35 [1899]~E(x18991,x18992)+E(f190(x18993,x18991),f190(x18993,x18992)) % 192.26/192.35 [1900]~E(x19001,x19002)+E(f399(x19001,x19003,x19004,x19005),f399(x19002,x19003,x19004,x19005)) % 192.26/192.35 [1901]~E(x19011,x19012)+E(f399(x19013,x19011,x19014,x19015),f399(x19013,x19012,x19014,x19015)) % 192.26/192.35 [1902]~E(x19021,x19022)+E(f399(x19023,x19024,x19021,x19025),f399(x19023,x19024,x19022,x19025)) % 192.26/192.35 [1903]~E(x19031,x19032)+E(f399(x19033,x19034,x19035,x19031),f399(x19033,x19034,x19035,x19032)) % 192.26/192.35 [1904]~E(x19041,x19042)+E(f151(x19041,x19043),f151(x19042,x19043)) % 192.26/192.35 [1905]~E(x19051,x19052)+E(f151(x19053,x19051),f151(x19053,x19052)) % 192.26/192.35 [1906]~E(x19061,x19062)+E(f449(x19061,x19063,x19064),f449(x19062,x19063,x19064)) % 192.26/192.35 [1907]~E(x19071,x19072)+E(f449(x19073,x19071,x19074),f449(x19073,x19072,x19074)) % 192.26/192.35 [1908]~E(x19081,x19082)+E(f449(x19083,x19084,x19081),f449(x19083,x19084,x19082)) % 192.26/192.35 [1909]~E(x19091,x19092)+E(f533(x19091,x19093,x19094,x19095,x19096),f533(x19092,x19093,x19094,x19095,x19096)) % 192.26/192.35 [1910]~E(x19101,x19102)+E(f533(x19103,x19101,x19104,x19105,x19106),f533(x19103,x19102,x19104,x19105,x19106)) % 192.26/192.35 [1911]~E(x19111,x19112)+E(f533(x19113,x19114,x19111,x19115,x19116),f533(x19113,x19114,x19112,x19115,x19116)) % 192.26/192.35 [1912]~E(x19121,x19122)+E(f533(x19123,x19124,x19125,x19121,x19126),f533(x19123,x19124,x19125,x19122,x19126)) % 192.26/192.35 [1913]~E(x19131,x19132)+E(f533(x19133,x19134,x19135,x19136,x19131),f533(x19133,x19134,x19135,x19136,x19132)) % 192.26/192.35 [1914]~E(x19141,x19142)+E(f824(x19141,x19143,x19144,x19145,x19146,x19147,x19148),f824(x19142,x19143,x19144,x19145,x19146,x19147,x19148)) % 192.26/192.35 [1915]~E(x19151,x19152)+E(f824(x19153,x19151,x19154,x19155,x19156,x19157,x19158),f824(x19153,x19152,x19154,x19155,x19156,x19157,x19158)) % 192.26/192.35 [1916]~E(x19161,x19162)+E(f824(x19163,x19164,x19161,x19165,x19166,x19167,x19168),f824(x19163,x19164,x19162,x19165,x19166,x19167,x19168)) % 192.26/192.35 [1917]~E(x19171,x19172)+E(f824(x19173,x19174,x19175,x19171,x19176,x19177,x19178),f824(x19173,x19174,x19175,x19172,x19176,x19177,x19178)) % 192.26/192.35 [1918]~E(x19181,x19182)+E(f824(x19183,x19184,x19185,x19186,x19181,x19187,x19188),f824(x19183,x19184,x19185,x19186,x19182,x19187,x19188)) % 192.26/192.35 [1919]~E(x19191,x19192)+E(f824(x19193,x19194,x19195,x19196,x19197,x19191,x19198),f824(x19193,x19194,x19195,x19196,x19197,x19192,x19198)) % 192.26/192.35 [1920]~E(x19201,x19202)+E(f824(x19203,x19204,x19205,x19206,x19207,x19208,x19201),f824(x19203,x19204,x19205,x19206,x19207,x19208,x19202)) % 192.26/192.35 [1921]~E(x19211,x19212)+E(f747(x19211,x19213,x19214),f747(x19212,x19213,x19214)) % 192.26/192.35 [1922]~E(x19221,x19222)+E(f747(x19223,x19221,x19224),f747(x19223,x19222,x19224)) % 192.26/192.35 [1923]~E(x19231,x19232)+E(f747(x19233,x19234,x19231),f747(x19233,x19234,x19232)) % 192.26/192.35 [1924]~E(x19241,x19242)+E(f534(x19241,x19243,x19244),f534(x19242,x19243,x19244)) % 192.26/192.35 [1925]~E(x19251,x19252)+E(f534(x19253,x19251,x19254),f534(x19253,x19252,x19254)) % 192.26/192.35 [1926]~E(x19261,x19262)+E(f534(x19263,x19264,x19261),f534(x19263,x19264,x19262)) % 192.26/192.35 [1927]~E(x19271,x19272)+E(f816(x19271,x19273,x19274),f816(x19272,x19273,x19274)) % 192.26/192.35 [1928]~E(x19281,x19282)+E(f816(x19283,x19281,x19284),f816(x19283,x19282,x19284)) % 192.26/192.35 [1929]~E(x19291,x19292)+E(f816(x19293,x19294,x19291),f816(x19293,x19294,x19292)) % 192.26/192.35 [1930]~E(x19301,x19302)+E(f725(x19301,x19303),f725(x19302,x19303)) % 192.26/192.35 [1931]~E(x19311,x19312)+E(f725(x19313,x19311),f725(x19313,x19312)) % 192.26/192.35 [1932]~E(x19321,x19322)+E(f181(x19321,x19323),f181(x19322,x19323)) % 192.26/192.35 [1933]~E(x19331,x19332)+E(f181(x19333,x19331),f181(x19333,x19332)) % 192.26/192.35 [1934]~E(x19341,x19342)+E(f333(x19341,x19343,x19344),f333(x19342,x19343,x19344)) % 192.26/192.35 [1935]~E(x19351,x19352)+E(f333(x19353,x19351,x19354),f333(x19353,x19352,x19354)) % 192.26/192.35 [1936]~E(x19361,x19362)+E(f333(x19363,x19364,x19361),f333(x19363,x19364,x19362)) % 192.26/192.35 [1937]~E(x19371,x19372)+E(f473(x19371,x19373,x19374,x19375),f473(x19372,x19373,x19374,x19375)) % 192.26/192.35 [1938]~E(x19381,x19382)+E(f473(x19383,x19381,x19384,x19385),f473(x19383,x19382,x19384,x19385)) % 192.26/192.35 [1939]~E(x19391,x19392)+E(f473(x19393,x19394,x19391,x19395),f473(x19393,x19394,x19392,x19395)) % 192.26/192.35 [1940]~E(x19401,x19402)+E(f473(x19403,x19404,x19405,x19401),f473(x19403,x19404,x19405,x19402)) % 192.26/192.35 [1941]~E(x19411,x19412)+E(f559(x19411,x19413,x19414,x19415,x19416,x19417,x19418),f559(x19412,x19413,x19414,x19415,x19416,x19417,x19418)) % 192.26/192.35 [1942]~E(x19421,x19422)+E(f559(x19423,x19421,x19424,x19425,x19426,x19427,x19428),f559(x19423,x19422,x19424,x19425,x19426,x19427,x19428)) % 192.26/192.35 [1943]~E(x19431,x19432)+E(f559(x19433,x19434,x19431,x19435,x19436,x19437,x19438),f559(x19433,x19434,x19432,x19435,x19436,x19437,x19438)) % 192.26/192.35 [1944]~E(x19441,x19442)+E(f559(x19443,x19444,x19445,x19441,x19446,x19447,x19448),f559(x19443,x19444,x19445,x19442,x19446,x19447,x19448)) % 192.26/192.35 [1945]~E(x19451,x19452)+E(f559(x19453,x19454,x19455,x19456,x19451,x19457,x19458),f559(x19453,x19454,x19455,x19456,x19452,x19457,x19458)) % 192.26/192.35 [1946]~E(x19461,x19462)+E(f559(x19463,x19464,x19465,x19466,x19467,x19461,x19468),f559(x19463,x19464,x19465,x19466,x19467,x19462,x19468)) % 192.26/192.35 [1947]~E(x19471,x19472)+E(f559(x19473,x19474,x19475,x19476,x19477,x19478,x19471),f559(x19473,x19474,x19475,x19476,x19477,x19478,x19472)) % 192.26/192.35 [1948]~E(x19481,x19482)+E(f792(x19481,x19483,x19484,x19485),f792(x19482,x19483,x19484,x19485)) % 192.26/192.35 [1949]~E(x19491,x19492)+E(f792(x19493,x19491,x19494,x19495),f792(x19493,x19492,x19494,x19495)) % 192.26/192.35 [1950]~E(x19501,x19502)+E(f792(x19503,x19504,x19501,x19505),f792(x19503,x19504,x19502,x19505)) % 192.26/192.35 [1951]~E(x19511,x19512)+E(f792(x19513,x19514,x19515,x19511),f792(x19513,x19514,x19515,x19512)) % 192.26/192.35 [1952]~E(x19521,x19522)+E(f501(x19521,x19523,x19524,x19525),f501(x19522,x19523,x19524,x19525)) % 192.26/192.35 [1953]~E(x19531,x19532)+E(f501(x19533,x19531,x19534,x19535),f501(x19533,x19532,x19534,x19535)) % 192.26/192.35 [1954]~E(x19541,x19542)+E(f501(x19543,x19544,x19541,x19545),f501(x19543,x19544,x19542,x19545)) % 192.26/192.35 [1955]~E(x19551,x19552)+E(f501(x19553,x19554,x19555,x19551),f501(x19553,x19554,x19555,x19552)) % 192.26/192.35 [1956]~E(x19561,x19562)+E(f803(x19561,x19563,x19564),f803(x19562,x19563,x19564)) % 192.26/192.35 [1957]~E(x19571,x19572)+E(f803(x19573,x19571,x19574),f803(x19573,x19572,x19574)) % 192.26/192.35 [1958]~E(x19581,x19582)+E(f803(x19583,x19584,x19581),f803(x19583,x19584,x19582)) % 192.26/192.35 [1959]~E(x19591,x19592)+E(f853(x19591,x19593,x19594,x19595,x19596),f853(x19592,x19593,x19594,x19595,x19596)) % 192.26/192.35 [1960]~E(x19601,x19602)+E(f853(x19603,x19601,x19604,x19605,x19606),f853(x19603,x19602,x19604,x19605,x19606)) % 192.26/192.35 [1961]~E(x19611,x19612)+E(f853(x19613,x19614,x19611,x19615,x19616),f853(x19613,x19614,x19612,x19615,x19616)) % 192.26/192.35 [1962]~E(x19621,x19622)+E(f853(x19623,x19624,x19625,x19621,x19626),f853(x19623,x19624,x19625,x19622,x19626)) % 192.26/192.35 [1963]~E(x19631,x19632)+E(f853(x19633,x19634,x19635,x19636,x19631),f853(x19633,x19634,x19635,x19636,x19632)) % 192.26/192.35 [1964]~E(x19641,x19642)+E(f163(x19641,x19643,x19644),f163(x19642,x19643,x19644)) % 192.26/192.35 [1965]~E(x19651,x19652)+E(f163(x19653,x19651,x19654),f163(x19653,x19652,x19654)) % 192.26/192.35 [1966]~E(x19661,x19662)+E(f163(x19663,x19664,x19661),f163(x19663,x19664,x19662)) % 192.26/192.35 [1967]~E(x19671,x19672)+E(f707(x19671,x19673),f707(x19672,x19673)) % 192.26/192.35 [1968]~E(x19681,x19682)+E(f707(x19683,x19681),f707(x19683,x19682)) % 192.26/192.35 [1969]~E(x19691,x19692)+E(f279(x19691,x19693),f279(x19692,x19693)) % 192.26/192.35 [1970]~E(x19701,x19702)+E(f279(x19703,x19701),f279(x19703,x19702)) % 192.26/192.35 [1971]~E(x19711,x19712)+E(f305(x19711,x19713,x19714,x19715),f305(x19712,x19713,x19714,x19715)) % 192.26/192.35 [1972]~E(x19721,x19722)+E(f305(x19723,x19721,x19724,x19725),f305(x19723,x19722,x19724,x19725)) % 192.26/192.35 [1973]~E(x19731,x19732)+E(f305(x19733,x19734,x19731,x19735),f305(x19733,x19734,x19732,x19735)) % 192.26/192.35 [1974]~E(x19741,x19742)+E(f305(x19743,x19744,x19745,x19741),f305(x19743,x19744,x19745,x19742)) % 192.26/192.35 [1975]~E(x19751,x19752)+E(f761(x19751,x19753,x19754,x19755,x19756,x19757),f761(x19752,x19753,x19754,x19755,x19756,x19757)) % 192.26/192.35 [1976]~E(x19761,x19762)+E(f761(x19763,x19761,x19764,x19765,x19766,x19767),f761(x19763,x19762,x19764,x19765,x19766,x19767)) % 192.26/192.35 [1977]~E(x19771,x19772)+E(f761(x19773,x19774,x19771,x19775,x19776,x19777),f761(x19773,x19774,x19772,x19775,x19776,x19777)) % 192.26/192.35 [1978]~E(x19781,x19782)+E(f761(x19783,x19784,x19785,x19781,x19786,x19787),f761(x19783,x19784,x19785,x19782,x19786,x19787)) % 192.26/192.35 [1979]~E(x19791,x19792)+E(f761(x19793,x19794,x19795,x19796,x19791,x19797),f761(x19793,x19794,x19795,x19796,x19792,x19797)) % 192.26/192.35 [1980]~E(x19801,x19802)+E(f761(x19803,x19804,x19805,x19806,x19807,x19801),f761(x19803,x19804,x19805,x19806,x19807,x19802)) % 192.26/192.35 [1981]~E(x19811,x19812)+E(f152(x19811,x19813,x19814,x19815),f152(x19812,x19813,x19814,x19815)) % 192.26/192.35 [1982]~E(x19821,x19822)+E(f152(x19823,x19821,x19824,x19825),f152(x19823,x19822,x19824,x19825)) % 192.26/192.35 [1983]~E(x19831,x19832)+E(f152(x19833,x19834,x19831,x19835),f152(x19833,x19834,x19832,x19835)) % 192.26/192.35 [1984]~E(x19841,x19842)+E(f152(x19843,x19844,x19845,x19841),f152(x19843,x19844,x19845,x19842)) % 192.26/192.35 [1985]~E(x19851,x19852)+E(f800(x19851,x19853,x19854,x19855,x19856),f800(x19852,x19853,x19854,x19855,x19856)) % 192.26/192.35 [1986]~E(x19861,x19862)+E(f800(x19863,x19861,x19864,x19865,x19866),f800(x19863,x19862,x19864,x19865,x19866)) % 192.26/192.35 [1987]~E(x19871,x19872)+E(f800(x19873,x19874,x19871,x19875,x19876),f800(x19873,x19874,x19872,x19875,x19876)) % 192.26/192.35 [1988]~E(x19881,x19882)+E(f800(x19883,x19884,x19885,x19881,x19886),f800(x19883,x19884,x19885,x19882,x19886)) % 192.26/192.35 [1989]~E(x19891,x19892)+E(f800(x19893,x19894,x19895,x19896,x19891),f800(x19893,x19894,x19895,x19896,x19892)) % 192.26/192.35 [1990]~E(x19901,x19902)+E(f400(x19901,x19903,x19904,x19905),f400(x19902,x19903,x19904,x19905)) % 192.26/192.35 [1991]~E(x19911,x19912)+E(f400(x19913,x19911,x19914,x19915),f400(x19913,x19912,x19914,x19915)) % 192.26/192.35 [1992]~E(x19921,x19922)+E(f400(x19923,x19924,x19921,x19925),f400(x19923,x19924,x19922,x19925)) % 192.26/192.35 [1993]~E(x19931,x19932)+E(f400(x19933,x19934,x19935,x19931),f400(x19933,x19934,x19935,x19932)) % 192.26/192.35 [1994]~E(x19941,x19942)+E(f749(x19941,x19943),f749(x19942,x19943)) % 192.26/192.35 [1995]~E(x19951,x19952)+E(f749(x19953,x19951),f749(x19953,x19952)) % 192.26/192.35 [1996]~E(x19961,x19962)+E(f503(x19961,x19963,x19964),f503(x19962,x19963,x19964)) % 192.26/192.35 [1997]~E(x19971,x19972)+E(f503(x19973,x19971,x19974),f503(x19973,x19972,x19974)) % 192.26/192.35 [1998]~E(x19981,x19982)+E(f503(x19983,x19984,x19981),f503(x19983,x19984,x19982)) % 192.26/192.35 [1999]~E(x19991,x19992)+E(f371(x19991,x19993,x19994,x19995),f371(x19992,x19993,x19994,x19995)) % 192.26/192.35 [2000]~E(x20001,x20002)+E(f371(x20003,x20001,x20004,x20005),f371(x20003,x20002,x20004,x20005)) % 192.26/192.35 [2001]~E(x20011,x20012)+E(f371(x20013,x20014,x20011,x20015),f371(x20013,x20014,x20012,x20015)) % 192.26/192.35 [2002]~E(x20021,x20022)+E(f371(x20023,x20024,x20025,x20021),f371(x20023,x20024,x20025,x20022)) % 192.26/192.35 [2003]~E(x20031,x20032)+E(f877(x20031,x20033,x20034,x20035,x20036),f877(x20032,x20033,x20034,x20035,x20036)) % 192.26/192.35 [2004]~E(x20041,x20042)+E(f877(x20043,x20041,x20044,x20045,x20046),f877(x20043,x20042,x20044,x20045,x20046)) % 192.26/192.35 [2005]~E(x20051,x20052)+E(f877(x20053,x20054,x20051,x20055,x20056),f877(x20053,x20054,x20052,x20055,x20056)) % 192.26/192.35 [2006]~E(x20061,x20062)+E(f877(x20063,x20064,x20065,x20061,x20066),f877(x20063,x20064,x20065,x20062,x20066)) % 192.26/192.35 [2007]~E(x20071,x20072)+E(f877(x20073,x20074,x20075,x20076,x20071),f877(x20073,x20074,x20075,x20076,x20072)) % 192.26/192.35 [2008]~E(x20081,x20082)+E(f499(x20081,x20083,x20084,x20085),f499(x20082,x20083,x20084,x20085)) % 192.26/192.35 [2009]~E(x20091,x20092)+E(f499(x20093,x20091,x20094,x20095),f499(x20093,x20092,x20094,x20095)) % 192.26/192.35 [2010]~E(x20101,x20102)+E(f499(x20103,x20104,x20101,x20105),f499(x20103,x20104,x20102,x20105)) % 192.26/192.35 [2011]~E(x20111,x20112)+E(f499(x20113,x20114,x20115,x20111),f499(x20113,x20114,x20115,x20112)) % 192.26/192.35 [2012]~E(x20121,x20122)+E(f540(x20121,x20123,x20124),f540(x20122,x20123,x20124)) % 192.26/192.35 [2013]~E(x20131,x20132)+E(f540(x20133,x20131,x20134),f540(x20133,x20132,x20134)) % 192.26/192.35 [2014]~E(x20141,x20142)+E(f540(x20143,x20144,x20141),f540(x20143,x20144,x20142)) % 192.26/192.35 [2015]~E(x20151,x20152)+E(f805(x20151,x20153,x20154),f805(x20152,x20153,x20154)) % 192.26/192.35 [2016]~E(x20161,x20162)+E(f805(x20163,x20161,x20164),f805(x20163,x20162,x20164)) % 192.26/192.35 [2017]~E(x20171,x20172)+E(f805(x20173,x20174,x20171),f805(x20173,x20174,x20172)) % 192.26/192.35 [2018]~E(x20181,x20182)+E(f768(x20181,x20183,x20184,x20185,x20186),f768(x20182,x20183,x20184,x20185,x20186)) % 192.26/192.35 [2019]~E(x20191,x20192)+E(f768(x20193,x20191,x20194,x20195,x20196),f768(x20193,x20192,x20194,x20195,x20196)) % 192.26/192.35 [2020]~E(x20201,x20202)+E(f768(x20203,x20204,x20201,x20205,x20206),f768(x20203,x20204,x20202,x20205,x20206)) % 192.26/192.35 [2021]~E(x20211,x20212)+E(f768(x20213,x20214,x20215,x20211,x20216),f768(x20213,x20214,x20215,x20212,x20216)) % 192.26/192.35 [2022]~E(x20221,x20222)+E(f768(x20223,x20224,x20225,x20226,x20221),f768(x20223,x20224,x20225,x20226,x20222)) % 192.26/192.35 [2023]~E(x20231,x20232)+E(f495(x20231,x20233,x20234,x20235),f495(x20232,x20233,x20234,x20235)) % 192.26/192.35 [2024]~E(x20241,x20242)+E(f495(x20243,x20241,x20244,x20245),f495(x20243,x20242,x20244,x20245)) % 192.26/192.35 [2025]~E(x20251,x20252)+E(f495(x20253,x20254,x20251,x20255),f495(x20253,x20254,x20252,x20255)) % 192.26/192.35 [2026]~E(x20261,x20262)+E(f495(x20263,x20264,x20265,x20261),f495(x20263,x20264,x20265,x20262)) % 192.26/192.35 [2027]~E(x20271,x20272)+E(f797(x20271,x20273,x20274),f797(x20272,x20273,x20274)) % 192.26/192.35 [2028]~E(x20281,x20282)+E(f797(x20283,x20281,x20284),f797(x20283,x20282,x20284)) % 192.26/192.35 [2029]~E(x20291,x20292)+E(f797(x20293,x20294,x20291),f797(x20293,x20294,x20292)) % 192.26/192.35 [2030]~E(x20301,x20302)+E(f440(x20301,x20303,x20304),f440(x20302,x20303,x20304)) % 192.26/192.35 [2031]~E(x20311,x20312)+E(f440(x20313,x20311,x20314),f440(x20313,x20312,x20314)) % 192.26/192.35 [2032]~E(x20321,x20322)+E(f440(x20323,x20324,x20321),f440(x20323,x20324,x20322)) % 192.26/192.35 [2033]~E(x20331,x20332)+E(f681(x20331,x20333,x20334),f681(x20332,x20333,x20334)) % 192.26/192.35 [2034]~E(x20341,x20342)+E(f681(x20343,x20341,x20344),f681(x20343,x20342,x20344)) % 192.26/192.35 [2035]~E(x20351,x20352)+E(f681(x20353,x20354,x20351),f681(x20353,x20354,x20352)) % 192.26/192.35 [2036]~E(x20361,x20362)+E(f610(x20361,x20363,x20364,x20365,x20366,x20367),f610(x20362,x20363,x20364,x20365,x20366,x20367)) % 192.26/192.35 [2037]~E(x20371,x20372)+E(f610(x20373,x20371,x20374,x20375,x20376,x20377),f610(x20373,x20372,x20374,x20375,x20376,x20377)) % 192.26/192.35 [2038]~E(x20381,x20382)+E(f610(x20383,x20384,x20381,x20385,x20386,x20387),f610(x20383,x20384,x20382,x20385,x20386,x20387)) % 192.26/192.35 [2039]~E(x20391,x20392)+E(f610(x20393,x20394,x20395,x20391,x20396,x20397),f610(x20393,x20394,x20395,x20392,x20396,x20397)) % 192.26/192.35 [2040]~E(x20401,x20402)+E(f610(x20403,x20404,x20405,x20406,x20401,x20407),f610(x20403,x20404,x20405,x20406,x20402,x20407)) % 192.26/192.35 [2041]~E(x20411,x20412)+E(f610(x20413,x20414,x20415,x20416,x20417,x20411),f610(x20413,x20414,x20415,x20416,x20417,x20412)) % 192.26/192.35 [2042]~E(x20421,x20422)+E(f718(x20421,x20423,x20424),f718(x20422,x20423,x20424)) % 192.26/192.35 [2043]~E(x20431,x20432)+E(f718(x20433,x20431,x20434),f718(x20433,x20432,x20434)) % 192.26/192.35 [2044]~E(x20441,x20442)+E(f718(x20443,x20444,x20441),f718(x20443,x20444,x20442)) % 192.26/192.35 [2045]~E(x20451,x20452)+E(f862(x20451,x20453,x20454,x20455),f862(x20452,x20453,x20454,x20455)) % 192.26/192.35 [2046]~E(x20461,x20462)+E(f862(x20463,x20461,x20464,x20465),f862(x20463,x20462,x20464,x20465)) % 192.26/192.35 [2047]~E(x20471,x20472)+E(f862(x20473,x20474,x20471,x20475),f862(x20473,x20474,x20472,x20475)) % 192.26/192.35 [2048]~E(x20481,x20482)+E(f862(x20483,x20484,x20485,x20481),f862(x20483,x20484,x20485,x20482)) % 192.26/192.35 [2049]~E(x20491,x20492)+E(f815(x20491,x20493,x20494),f815(x20492,x20493,x20494)) % 192.26/192.35 [2050]~E(x20501,x20502)+E(f815(x20503,x20501,x20504),f815(x20503,x20502,x20504)) % 192.26/192.35 [2051]~E(x20511,x20512)+E(f815(x20513,x20514,x20511),f815(x20513,x20514,x20512)) % 192.26/192.35 [2052]~E(x20521,x20522)+E(f307(x20521,x20523,x20524,x20525),f307(x20522,x20523,x20524,x20525)) % 192.26/192.35 [2053]~E(x20531,x20532)+E(f307(x20533,x20531,x20534,x20535),f307(x20533,x20532,x20534,x20535)) % 192.26/192.35 [2054]~E(x20541,x20542)+E(f307(x20543,x20544,x20541,x20545),f307(x20543,x20544,x20542,x20545)) % 192.26/192.35 [2055]~E(x20551,x20552)+E(f307(x20553,x20554,x20555,x20551),f307(x20553,x20554,x20555,x20552)) % 192.26/192.35 [2056]~E(x20561,x20562)+E(f483(x20561,x20563,x20564),f483(x20562,x20563,x20564)) % 192.26/192.35 [2057]~E(x20571,x20572)+E(f483(x20573,x20571,x20574),f483(x20573,x20572,x20574)) % 192.26/192.35 [2058]~E(x20581,x20582)+E(f483(x20583,x20584,x20581),f483(x20583,x20584,x20582)) % 192.26/192.35 [2059]~E(x20591,x20592)+E(f583(x20591,x20593,x20594),f583(x20592,x20593,x20594)) % 192.26/192.35 [2060]~E(x20601,x20602)+E(f583(x20603,x20601,x20604),f583(x20603,x20602,x20604)) % 192.26/192.35 [2061]~E(x20611,x20612)+E(f583(x20613,x20614,x20611),f583(x20613,x20614,x20612)) % 192.26/192.35 [2062]~E(x20621,x20622)+E(f684(x20621,x20623,x20624),f684(x20622,x20623,x20624)) % 192.26/192.35 [2063]~E(x20631,x20632)+E(f684(x20633,x20631,x20634),f684(x20633,x20632,x20634)) % 192.26/192.35 [2064]~E(x20641,x20642)+E(f684(x20643,x20644,x20641),f684(x20643,x20644,x20642)) % 192.26/192.35 [2065]~E(x20651,x20652)+E(f469(x20651,x20653,x20654,x20655),f469(x20652,x20653,x20654,x20655)) % 192.26/192.35 [2066]~E(x20661,x20662)+E(f469(x20663,x20661,x20664,x20665),f469(x20663,x20662,x20664,x20665)) % 192.26/192.35 [2067]~E(x20671,x20672)+E(f469(x20673,x20674,x20671,x20675),f469(x20673,x20674,x20672,x20675)) % 192.26/192.35 [2068]~E(x20681,x20682)+E(f469(x20683,x20684,x20685,x20681),f469(x20683,x20684,x20685,x20682)) % 192.26/192.35 [2069]~E(x20691,x20692)+E(f515(x20691,x20693),f515(x20692,x20693)) % 192.26/192.35 [2070]~E(x20701,x20702)+E(f515(x20703,x20701),f515(x20703,x20702)) % 192.26/192.35 [2071]~E(x20711,x20712)+E(f808(x20711,x20713,x20714),f808(x20712,x20713,x20714)) % 192.26/192.35 [2072]~E(x20721,x20722)+E(f808(x20723,x20721,x20724),f808(x20723,x20722,x20724)) % 192.26/192.35 [2073]~E(x20731,x20732)+E(f808(x20733,x20734,x20731),f808(x20733,x20734,x20732)) % 192.26/192.35 [2074]~E(x20741,x20742)+E(f657(x20741,x20743,x20744,x20745),f657(x20742,x20743,x20744,x20745)) % 192.26/192.35 [2075]~E(x20751,x20752)+E(f657(x20753,x20751,x20754,x20755),f657(x20753,x20752,x20754,x20755)) % 192.26/192.35 [2076]~E(x20761,x20762)+E(f657(x20763,x20764,x20761,x20765),f657(x20763,x20764,x20762,x20765)) % 192.26/192.35 [2077]~E(x20771,x20772)+E(f657(x20773,x20774,x20775,x20771),f657(x20773,x20774,x20775,x20772)) % 192.26/192.35 [2078]~E(x20781,x20782)+E(f323(x20781),f323(x20782)) % 192.26/192.35 [2079]~E(x20791,x20792)+E(f804(x20791,x20793,x20794),f804(x20792,x20793,x20794)) % 192.26/192.35 [2080]~E(x20801,x20802)+E(f804(x20803,x20801,x20804),f804(x20803,x20802,x20804)) % 192.26/192.35 [2081]~E(x20811,x20812)+E(f804(x20813,x20814,x20811),f804(x20813,x20814,x20812)) % 192.26/192.35 [2082]~E(x20821,x20822)+E(f511(x20821,x20823,x20824,x20825),f511(x20822,x20823,x20824,x20825)) % 192.26/192.35 [2083]~E(x20831,x20832)+E(f511(x20833,x20831,x20834,x20835),f511(x20833,x20832,x20834,x20835)) % 192.26/192.35 [2084]~E(x20841,x20842)+E(f511(x20843,x20844,x20841,x20845),f511(x20843,x20844,x20842,x20845)) % 192.26/192.35 [2085]~E(x20851,x20852)+E(f511(x20853,x20854,x20855,x20851),f511(x20853,x20854,x20855,x20852)) % 192.26/192.35 [2086]~E(x20861,x20862)+E(f538(x20861,x20863,x20864,x20865,x20866),f538(x20862,x20863,x20864,x20865,x20866)) % 192.26/192.35 [2087]~E(x20871,x20872)+E(f538(x20873,x20871,x20874,x20875,x20876),f538(x20873,x20872,x20874,x20875,x20876)) % 192.26/192.35 [2088]~E(x20881,x20882)+E(f538(x20883,x20884,x20881,x20885,x20886),f538(x20883,x20884,x20882,x20885,x20886)) % 192.26/192.35 [2089]~E(x20891,x20892)+E(f538(x20893,x20894,x20895,x20891,x20896),f538(x20893,x20894,x20895,x20892,x20896)) % 192.26/192.35 [2090]~E(x20901,x20902)+E(f538(x20903,x20904,x20905,x20906,x20901),f538(x20903,x20904,x20905,x20906,x20902)) % 192.26/192.35 [2091]~E(x20911,x20912)+E(f392(x20911,x20913,x20914),f392(x20912,x20913,x20914)) % 192.26/192.35 [2092]~E(x20921,x20922)+E(f392(x20923,x20921,x20924),f392(x20923,x20922,x20924)) % 192.26/192.35 [2093]~E(x20931,x20932)+E(f392(x20933,x20934,x20931),f392(x20933,x20934,x20932)) % 192.26/192.35 [2094]~E(x20941,x20942)+E(f234(x20941),f234(x20942)) % 192.26/192.35 [2095]~E(x20951,x20952)+E(f368(x20951,x20953,x20954,x20955,x20956),f368(x20952,x20953,x20954,x20955,x20956)) % 192.26/192.35 [2096]~E(x20961,x20962)+E(f368(x20963,x20961,x20964,x20965,x20966),f368(x20963,x20962,x20964,x20965,x20966)) % 192.26/192.35 [2097]~E(x20971,x20972)+E(f368(x20973,x20974,x20971,x20975,x20976),f368(x20973,x20974,x20972,x20975,x20976)) % 192.26/192.35 [2098]~E(x20981,x20982)+E(f368(x20983,x20984,x20985,x20981,x20986),f368(x20983,x20984,x20985,x20982,x20986)) % 192.26/192.35 [2099]~E(x20991,x20992)+E(f368(x20993,x20994,x20995,x20996,x20991),f368(x20993,x20994,x20995,x20996,x20992)) % 192.26/192.35 [2100]~E(x21001,x21002)+E(f566(x21001,x21003,x21004,x21005,x21006,x21007,x21008),f566(x21002,x21003,x21004,x21005,x21006,x21007,x21008)) % 192.26/192.35 [2101]~E(x21011,x21012)+E(f566(x21013,x21011,x21014,x21015,x21016,x21017,x21018),f566(x21013,x21012,x21014,x21015,x21016,x21017,x21018)) % 192.26/192.35 [2102]~E(x21021,x21022)+E(f566(x21023,x21024,x21021,x21025,x21026,x21027,x21028),f566(x21023,x21024,x21022,x21025,x21026,x21027,x21028)) % 192.26/192.35 [2103]~E(x21031,x21032)+E(f566(x21033,x21034,x21035,x21031,x21036,x21037,x21038),f566(x21033,x21034,x21035,x21032,x21036,x21037,x21038)) % 192.26/192.35 [2104]~E(x21041,x21042)+E(f566(x21043,x21044,x21045,x21046,x21041,x21047,x21048),f566(x21043,x21044,x21045,x21046,x21042,x21047,x21048)) % 192.26/192.35 [2105]~E(x21051,x21052)+E(f566(x21053,x21054,x21055,x21056,x21057,x21051,x21058),f566(x21053,x21054,x21055,x21056,x21057,x21052,x21058)) % 192.26/192.35 [2106]~E(x21061,x21062)+E(f566(x21063,x21064,x21065,x21066,x21067,x21068,x21061),f566(x21063,x21064,x21065,x21066,x21067,x21068,x21062)) % 192.26/192.35 [2107]~E(x21071,x21072)+E(f867(x21071,x21073,x21074,x21075,x21076,x21077),f867(x21072,x21073,x21074,x21075,x21076,x21077)) % 192.26/192.35 [2108]~E(x21081,x21082)+E(f867(x21083,x21081,x21084,x21085,x21086,x21087),f867(x21083,x21082,x21084,x21085,x21086,x21087)) % 192.26/192.35 [2109]~E(x21091,x21092)+E(f867(x21093,x21094,x21091,x21095,x21096,x21097),f867(x21093,x21094,x21092,x21095,x21096,x21097)) % 192.26/192.35 [2110]~E(x21101,x21102)+E(f867(x21103,x21104,x21105,x21101,x21106,x21107),f867(x21103,x21104,x21105,x21102,x21106,x21107)) % 192.26/192.35 [2111]~E(x21111,x21112)+E(f867(x21113,x21114,x21115,x21116,x21111,x21117),f867(x21113,x21114,x21115,x21116,x21112,x21117)) % 192.26/192.35 [2112]~E(x21121,x21122)+E(f867(x21123,x21124,x21125,x21126,x21127,x21121),f867(x21123,x21124,x21125,x21126,x21127,x21122)) % 192.26/192.35 [2113]~E(x21131,x21132)+E(f614(x21131,x21133,x21134,x21135),f614(x21132,x21133,x21134,x21135)) % 192.26/192.35 [2114]~E(x21141,x21142)+E(f614(x21143,x21141,x21144,x21145),f614(x21143,x21142,x21144,x21145)) % 192.26/192.35 [2115]~E(x21151,x21152)+E(f614(x21153,x21154,x21151,x21155),f614(x21153,x21154,x21152,x21155)) % 192.26/192.35 [2116]~E(x21161,x21162)+E(f614(x21163,x21164,x21165,x21161),f614(x21163,x21164,x21165,x21162)) % 192.26/192.35 [2117]~E(x21171,x21172)+E(f199(x21171,x21173,x21174),f199(x21172,x21173,x21174)) % 192.26/192.35 [2118]~E(x21181,x21182)+E(f199(x21183,x21181,x21184),f199(x21183,x21182,x21184)) % 192.26/192.35 [2119]~E(x21191,x21192)+E(f199(x21193,x21194,x21191),f199(x21193,x21194,x21192)) % 192.26/192.35 [2120]~E(x21201,x21202)+E(f520(x21201,x21203,x21204,x21205),f520(x21202,x21203,x21204,x21205)) % 192.26/192.35 [2121]~E(x21211,x21212)+E(f520(x21213,x21211,x21214,x21215),f520(x21213,x21212,x21214,x21215)) % 192.26/192.35 [2122]~E(x21221,x21222)+E(f520(x21223,x21224,x21221,x21225),f520(x21223,x21224,x21222,x21225)) % 192.26/192.35 [2123]~E(x21231,x21232)+E(f520(x21233,x21234,x21235,x21231),f520(x21233,x21234,x21235,x21232)) % 192.26/192.35 [2124]~E(x21241,x21242)+E(f764(x21241,x21243,x21244),f764(x21242,x21243,x21244)) % 192.26/192.35 [2125]~E(x21251,x21252)+E(f764(x21253,x21251,x21254),f764(x21253,x21252,x21254)) % 192.26/192.35 [2126]~E(x21261,x21262)+E(f764(x21263,x21264,x21261),f764(x21263,x21264,x21262)) % 192.26/192.35 [2127]~E(x21271,x21272)+E(f75(x21271,x21273),f75(x21272,x21273)) % 192.26/192.35 [2128]~E(x21281,x21282)+E(f75(x21283,x21281),f75(x21283,x21282)) % 192.26/192.35 [2129]~E(x21291,x21292)+E(f383(x21291,x21293),f383(x21292,x21293)) % 192.26/192.35 [2130]~E(x21301,x21302)+E(f383(x21303,x21301),f383(x21303,x21302)) % 192.26/192.35 [2131]~E(x21311,x21312)+E(f762(x21311,x21313,x21314,x21315),f762(x21312,x21313,x21314,x21315)) % 192.26/192.35 [2132]~E(x21321,x21322)+E(f762(x21323,x21321,x21324,x21325),f762(x21323,x21322,x21324,x21325)) % 192.26/192.35 [2133]~E(x21331,x21332)+E(f762(x21333,x21334,x21331,x21335),f762(x21333,x21334,x21332,x21335)) % 192.26/192.35 [2134]~E(x21341,x21342)+E(f762(x21343,x21344,x21345,x21341),f762(x21343,x21344,x21345,x21342)) % 192.26/192.35 [2135]~E(x21351,x21352)+E(f537(x21351,x21353,x21354),f537(x21352,x21353,x21354)) % 192.26/192.35 [2136]~E(x21361,x21362)+E(f537(x21363,x21361,x21364),f537(x21363,x21362,x21364)) % 192.26/192.35 [2137]~E(x21371,x21372)+E(f537(x21373,x21374,x21371),f537(x21373,x21374,x21372)) % 192.26/192.35 [2138]~E(x21381,x21382)+E(f445(x21381,x21383,x21384),f445(x21382,x21383,x21384)) % 192.26/192.35 [2139]~E(x21391,x21392)+E(f445(x21393,x21391,x21394),f445(x21393,x21392,x21394)) % 192.26/192.35 [2140]~E(x21401,x21402)+E(f445(x21403,x21404,x21401),f445(x21403,x21404,x21402)) % 192.26/192.35 [2141]~E(x21411,x21412)+E(f306(x21411,x21413,x21414,x21415),f306(x21412,x21413,x21414,x21415)) % 192.26/192.35 [2142]~E(x21421,x21422)+E(f306(x21423,x21421,x21424,x21425),f306(x21423,x21422,x21424,x21425)) % 192.26/192.35 [2143]~E(x21431,x21432)+E(f306(x21433,x21434,x21431,x21435),f306(x21433,x21434,x21432,x21435)) % 192.26/192.35 [2144]~E(x21441,x21442)+E(f306(x21443,x21444,x21445,x21441),f306(x21443,x21444,x21445,x21442)) % 192.26/192.35 [2145]~E(x21451,x21452)+E(f417(x21451,x21453),f417(x21452,x21453)) % 192.26/192.35 [2146]~E(x21461,x21462)+E(f417(x21463,x21461),f417(x21463,x21462)) % 192.26/192.35 [2147]~E(x21471,x21472)+E(f320(x21471,x21473,x21474,x21475,x21476),f320(x21472,x21473,x21474,x21475,x21476)) % 192.26/192.35 [2148]~E(x21481,x21482)+E(f320(x21483,x21481,x21484,x21485,x21486),f320(x21483,x21482,x21484,x21485,x21486)) % 192.26/192.35 [2149]~E(x21491,x21492)+E(f320(x21493,x21494,x21491,x21495,x21496),f320(x21493,x21494,x21492,x21495,x21496)) % 192.26/192.35 [2150]~E(x21501,x21502)+E(f320(x21503,x21504,x21505,x21501,x21506),f320(x21503,x21504,x21505,x21502,x21506)) % 192.26/192.35 [2151]~E(x21511,x21512)+E(f320(x21513,x21514,x21515,x21516,x21511),f320(x21513,x21514,x21515,x21516,x21512)) % 192.26/192.35 [2152]~E(x21521,x21522)+E(f468(x21521,x21523,x21524),f468(x21522,x21523,x21524)) % 192.26/192.35 [2153]~E(x21531,x21532)+E(f468(x21533,x21531,x21534),f468(x21533,x21532,x21534)) % 192.26/192.35 [2154]~E(x21541,x21542)+E(f468(x21543,x21544,x21541),f468(x21543,x21544,x21542)) % 192.26/192.35 [2155]~E(x21551,x21552)+E(f818(x21551,x21553,x21554),f818(x21552,x21553,x21554)) % 192.26/192.35 [2156]~E(x21561,x21562)+E(f818(x21563,x21561,x21564),f818(x21563,x21562,x21564)) % 192.26/192.35 [2157]~E(x21571,x21572)+E(f818(x21573,x21574,x21571),f818(x21573,x21574,x21572)) % 192.26/192.35 [2158]~E(x21581,x21582)+E(f264(x21581,x21583,x21584),f264(x21582,x21583,x21584)) % 192.26/192.35 [2159]~E(x21591,x21592)+E(f264(x21593,x21591,x21594),f264(x21593,x21592,x21594)) % 192.26/192.35 [2160]~E(x21601,x21602)+E(f264(x21603,x21604,x21601),f264(x21603,x21604,x21602)) % 192.26/192.35 [2161]~E(x21611,x21612)+E(f413(x21611,x21613,x21614),f413(x21612,x21613,x21614)) % 192.26/192.35 [2162]~E(x21621,x21622)+E(f413(x21623,x21621,x21624),f413(x21623,x21622,x21624)) % 192.26/192.35 [2163]~E(x21631,x21632)+E(f413(x21633,x21634,x21631),f413(x21633,x21634,x21632)) % 192.26/192.35 [2164]~E(x21641,x21642)+E(f521(x21641,x21643),f521(x21642,x21643)) % 192.26/192.35 [2165]~E(x21651,x21652)+E(f521(x21653,x21651),f521(x21653,x21652)) % 192.26/192.35 [2166]~E(x21661,x21662)+E(f416(x21661),f416(x21662)) % 192.26/192.35 [2167]~E(x21671,x21672)+E(f60(x21671,x21673,x21674,x21675),f60(x21672,x21673,x21674,x21675)) % 192.26/192.35 [2168]~E(x21681,x21682)+E(f60(x21683,x21681,x21684,x21685),f60(x21683,x21682,x21684,x21685)) % 192.26/192.35 [2169]~E(x21691,x21692)+E(f60(x21693,x21694,x21691,x21695),f60(x21693,x21694,x21692,x21695)) % 192.26/192.35 [2170]~E(x21701,x21702)+E(f60(x21703,x21704,x21705,x21701),f60(x21703,x21704,x21705,x21702)) % 192.26/192.35 [2171]~E(x21711,x21712)+E(f187(x21711),f187(x21712)) % 192.26/192.35 [2172]~E(x21721,x21722)+E(f615(x21721,x21723,x21724),f615(x21722,x21723,x21724)) % 192.26/192.35 [2173]~E(x21731,x21732)+E(f615(x21733,x21731,x21734),f615(x21733,x21732,x21734)) % 192.26/192.35 [2174]~E(x21741,x21742)+E(f615(x21743,x21744,x21741),f615(x21743,x21744,x21742)) % 192.26/192.35 [2175]~E(x21751,x21752)+E(f873(x21751,x21753,x21754,x21755,x21756),f873(x21752,x21753,x21754,x21755,x21756)) % 192.26/192.35 [2176]~E(x21761,x21762)+E(f873(x21763,x21761,x21764,x21765,x21766),f873(x21763,x21762,x21764,x21765,x21766)) % 192.26/192.35 [2177]~E(x21771,x21772)+E(f873(x21773,x21774,x21771,x21775,x21776),f873(x21773,x21774,x21772,x21775,x21776)) % 192.26/192.35 [2178]~E(x21781,x21782)+E(f873(x21783,x21784,x21785,x21781,x21786),f873(x21783,x21784,x21785,x21782,x21786)) % 192.26/192.35 [2179]~E(x21791,x21792)+E(f873(x21793,x21794,x21795,x21796,x21791),f873(x21793,x21794,x21795,x21796,x21792)) % 192.26/192.35 [2180]~E(x21801,x21802)+E(f788(x21801,x21803,x21804,x21805,x21806),f788(x21802,x21803,x21804,x21805,x21806)) % 192.26/192.35 [2181]~E(x21811,x21812)+E(f788(x21813,x21811,x21814,x21815,x21816),f788(x21813,x21812,x21814,x21815,x21816)) % 192.26/192.35 [2182]~E(x21821,x21822)+E(f788(x21823,x21824,x21821,x21825,x21826),f788(x21823,x21824,x21822,x21825,x21826)) % 192.26/192.35 [2183]~E(x21831,x21832)+E(f788(x21833,x21834,x21835,x21831,x21836),f788(x21833,x21834,x21835,x21832,x21836)) % 192.26/192.35 [2184]~E(x21841,x21842)+E(f788(x21843,x21844,x21845,x21846,x21841),f788(x21843,x21844,x21845,x21846,x21842)) % 192.26/192.35 [2185]~E(x21851,x21852)+E(f807(x21851,x21853,x21854),f807(x21852,x21853,x21854)) % 192.26/192.35 [2186]~E(x21861,x21862)+E(f807(x21863,x21861,x21864),f807(x21863,x21862,x21864)) % 192.26/192.35 [2187]~E(x21871,x21872)+E(f807(x21873,x21874,x21871),f807(x21873,x21874,x21872)) % 192.26/192.35 [2188]~E(x21881,x21882)+E(f760(x21881,x21883,x21884,x21885,x21886,x21887),f760(x21882,x21883,x21884,x21885,x21886,x21887)) % 192.26/192.35 [2189]~E(x21891,x21892)+E(f760(x21893,x21891,x21894,x21895,x21896,x21897),f760(x21893,x21892,x21894,x21895,x21896,x21897)) % 192.26/192.35 [2190]~E(x21901,x21902)+E(f760(x21903,x21904,x21901,x21905,x21906,x21907),f760(x21903,x21904,x21902,x21905,x21906,x21907)) % 192.26/192.35 [2191]~E(x21911,x21912)+E(f760(x21913,x21914,x21915,x21911,x21916,x21917),f760(x21913,x21914,x21915,x21912,x21916,x21917)) % 192.26/192.35 [2192]~E(x21921,x21922)+E(f760(x21923,x21924,x21925,x21926,x21921,x21927),f760(x21923,x21924,x21925,x21926,x21922,x21927)) % 192.26/192.35 [2193]~E(x21931,x21932)+E(f760(x21933,x21934,x21935,x21936,x21937,x21931),f760(x21933,x21934,x21935,x21936,x21937,x21932)) % 192.26/192.35 [2194]~E(x21941,x21942)+E(f645(x21941,x21943,x21944),f645(x21942,x21943,x21944)) % 192.26/192.35 [2195]~E(x21951,x21952)+E(f645(x21953,x21951,x21954),f645(x21953,x21952,x21954)) % 192.26/192.35 [2196]~E(x21961,x21962)+E(f645(x21963,x21964,x21961),f645(x21963,x21964,x21962)) % 192.26/192.35 [2197]~E(x21971,x21972)+E(f551(x21971,x21973,x21974),f551(x21972,x21973,x21974)) % 192.26/192.35 [2198]~E(x21981,x21982)+E(f551(x21983,x21981,x21984),f551(x21983,x21982,x21984)) % 192.26/192.35 [2199]~E(x21991,x21992)+E(f551(x21993,x21994,x21991),f551(x21993,x21994,x21992)) % 192.26/192.35 [2200]~E(x22001,x22002)+E(f676(x22001,x22003,x22004,x22005),f676(x22002,x22003,x22004,x22005)) % 192.26/192.35 [2201]~E(x22011,x22012)+E(f676(x22013,x22011,x22014,x22015),f676(x22013,x22012,x22014,x22015)) % 192.26/192.35 [2202]~E(x22021,x22022)+E(f676(x22023,x22024,x22021,x22025),f676(x22023,x22024,x22022,x22025)) % 192.26/192.35 [2203]~E(x22031,x22032)+E(f676(x22033,x22034,x22035,x22031),f676(x22033,x22034,x22035,x22032)) % 192.26/192.35 [2204]~E(x22041,x22042)+E(f431(x22041,x22043),f431(x22042,x22043)) % 192.26/192.35 [2205]~E(x22051,x22052)+E(f431(x22053,x22051),f431(x22053,x22052)) % 192.26/192.35 [2206]~E(x22061,x22062)+E(f601(x22061,x22063,x22064),f601(x22062,x22063,x22064)) % 192.26/192.35 [2207]~E(x22071,x22072)+E(f601(x22073,x22071,x22074),f601(x22073,x22072,x22074)) % 192.26/192.35 [2208]~E(x22081,x22082)+E(f601(x22083,x22084,x22081),f601(x22083,x22084,x22082)) % 192.26/192.35 [2209]~E(x22091,x22092)+E(f330(x22091),f330(x22092)) % 192.26/192.35 [2210]~E(x22101,x22102)+E(f318(x22101,x22103,x22104),f318(x22102,x22103,x22104)) % 192.26/192.35 [2211]~E(x22111,x22112)+E(f318(x22113,x22111,x22114),f318(x22113,x22112,x22114)) % 192.26/192.35 [2212]~E(x22121,x22122)+E(f318(x22123,x22124,x22121),f318(x22123,x22124,x22122)) % 192.26/192.35 [2213]~E(x22131,x22132)+E(f644(x22131,x22133),f644(x22132,x22133)) % 192.26/192.35 [2214]~E(x22141,x22142)+E(f644(x22143,x22141),f644(x22143,x22142)) % 192.26/192.35 [2215]~E(x22151,x22152)+E(f842(x22151,x22153,x22154,x22155),f842(x22152,x22153,x22154,x22155)) % 192.26/192.35 [2216]~E(x22161,x22162)+E(f842(x22163,x22161,x22164,x22165),f842(x22163,x22162,x22164,x22165)) % 192.26/192.35 [2217]~E(x22171,x22172)+E(f842(x22173,x22174,x22171,x22175),f842(x22173,x22174,x22172,x22175)) % 192.26/192.35 [2218]~E(x22181,x22182)+E(f842(x22183,x22184,x22185,x22181),f842(x22183,x22184,x22185,x22182)) % 192.26/192.35 [2219]~E(x22191,x22192)+E(f509(x22191,x22193,x22194,x22195),f509(x22192,x22193,x22194,x22195)) % 192.26/192.35 [2220]~E(x22201,x22202)+E(f509(x22203,x22201,x22204,x22205),f509(x22203,x22202,x22204,x22205)) % 192.26/192.35 [2221]~E(x22211,x22212)+E(f509(x22213,x22214,x22211,x22215),f509(x22213,x22214,x22212,x22215)) % 192.26/192.35 [2222]~E(x22221,x22222)+E(f509(x22223,x22224,x22225,x22221),f509(x22223,x22224,x22225,x22222)) % 192.26/192.35 [2223]~E(x22231,x22232)+E(f393(x22231,x22233,x22234),f393(x22232,x22233,x22234)) % 192.26/192.35 [2224]~E(x22241,x22242)+E(f393(x22243,x22241,x22244),f393(x22243,x22242,x22244)) % 192.26/192.35 [2225]~E(x22251,x22252)+E(f393(x22253,x22254,x22251),f393(x22253,x22254,x22252)) % 192.26/192.35 [2226]~E(x22261,x22262)+E(f398(x22261,x22263,x22264,x22265,x22266),f398(x22262,x22263,x22264,x22265,x22266)) % 192.26/192.35 [2227]~E(x22271,x22272)+E(f398(x22273,x22271,x22274,x22275,x22276),f398(x22273,x22272,x22274,x22275,x22276)) % 192.26/192.35 [2228]~E(x22281,x22282)+E(f398(x22283,x22284,x22281,x22285,x22286),f398(x22283,x22284,x22282,x22285,x22286)) % 192.26/192.35 [2229]~E(x22291,x22292)+E(f398(x22293,x22294,x22295,x22291,x22296),f398(x22293,x22294,x22295,x22292,x22296)) % 192.26/192.35 [2230]~E(x22301,x22302)+E(f398(x22303,x22304,x22305,x22306,x22301),f398(x22303,x22304,x22305,x22306,x22302)) % 192.26/192.35 [2231]~E(x22311,x22312)+E(f426(x22311,x22313),f426(x22312,x22313)) % 192.26/192.35 [2232]~E(x22321,x22322)+E(f426(x22323,x22321),f426(x22323,x22322)) % 192.26/192.35 [2233]~E(x22331,x22332)+E(f834(x22331,x22333,x22334,x22335),f834(x22332,x22333,x22334,x22335)) % 192.26/192.35 [2234]~E(x22341,x22342)+E(f834(x22343,x22341,x22344,x22345),f834(x22343,x22342,x22344,x22345)) % 192.26/192.35 [2235]~E(x22351,x22352)+E(f834(x22353,x22354,x22351,x22355),f834(x22353,x22354,x22352,x22355)) % 192.26/192.35 [2236]~E(x22361,x22362)+E(f834(x22363,x22364,x22365,x22361),f834(x22363,x22364,x22365,x22362)) % 192.26/192.35 [2237]~E(x22371,x22372)+E(f68(x22371,x22373,x22374),f68(x22372,x22373,x22374)) % 192.26/192.35 [2238]~E(x22381,x22382)+E(f68(x22383,x22381,x22384),f68(x22383,x22382,x22384)) % 192.26/192.35 [2239]~E(x22391,x22392)+E(f68(x22393,x22394,x22391),f68(x22393,x22394,x22392)) % 192.26/192.35 [2240]~E(x22401,x22402)+E(f613(x22401,x22403,x22404),f613(x22402,x22403,x22404)) % 192.26/192.35 [2241]~E(x22411,x22412)+E(f613(x22413,x22411,x22414),f613(x22413,x22412,x22414)) % 192.26/192.35 [2242]~E(x22421,x22422)+E(f613(x22423,x22424,x22421),f613(x22423,x22424,x22422)) % 192.26/192.35 [2243]~E(x22431,x22432)+E(f642(x22431,x22433,x22434),f642(x22432,x22433,x22434)) % 192.26/192.35 [2244]~E(x22441,x22442)+E(f642(x22443,x22441,x22444),f642(x22443,x22442,x22444)) % 192.26/192.35 [2245]~E(x22451,x22452)+E(f642(x22453,x22454,x22451),f642(x22453,x22454,x22452)) % 192.26/192.35 [2246]~E(x22461,x22462)+E(f407(x22461,x22463,x22464,x22465,x22466),f407(x22462,x22463,x22464,x22465,x22466)) % 192.26/192.35 [2247]~E(x22471,x22472)+E(f407(x22473,x22471,x22474,x22475,x22476),f407(x22473,x22472,x22474,x22475,x22476)) % 192.26/192.35 [2248]~E(x22481,x22482)+E(f407(x22483,x22484,x22481,x22485,x22486),f407(x22483,x22484,x22482,x22485,x22486)) % 192.26/192.35 [2249]~E(x22491,x22492)+E(f407(x22493,x22494,x22495,x22491,x22496),f407(x22493,x22494,x22495,x22492,x22496)) % 192.26/192.35 [2250]~E(x22501,x22502)+E(f407(x22503,x22504,x22505,x22506,x22501),f407(x22503,x22504,x22505,x22506,x22502)) % 192.26/192.35 [2251]~E(x22511,x22512)+E(f95(x22511,x22513,x22514),f95(x22512,x22513,x22514)) % 192.26/192.35 [2252]~E(x22521,x22522)+E(f95(x22523,x22521,x22524),f95(x22523,x22522,x22524)) % 192.26/192.35 [2253]~E(x22531,x22532)+E(f95(x22533,x22534,x22531),f95(x22533,x22534,x22532)) % 192.26/192.35 [2254]~E(x22541,x22542)+E(f311(x22541,x22543,x22544,x22545),f311(x22542,x22543,x22544,x22545)) % 192.26/192.35 [2255]~E(x22551,x22552)+E(f311(x22553,x22551,x22554,x22555),f311(x22553,x22552,x22554,x22555)) % 192.26/192.35 [2256]~E(x22561,x22562)+E(f311(x22563,x22564,x22561,x22565),f311(x22563,x22564,x22562,x22565)) % 192.26/192.35 [2257]~E(x22571,x22572)+E(f311(x22573,x22574,x22575,x22571),f311(x22573,x22574,x22575,x22572)) % 192.26/192.35 [2258]~E(x22581,x22582)+E(f665(x22581,x22583,x22584),f665(x22582,x22583,x22584)) % 192.26/192.35 [2259]~E(x22591,x22592)+E(f665(x22593,x22591,x22594),f665(x22593,x22592,x22594)) % 192.26/192.35 [2260]~E(x22601,x22602)+E(f665(x22603,x22604,x22601),f665(x22603,x22604,x22602)) % 192.26/192.35 [2261]~E(x22611,x22612)+E(f458(x22611),f458(x22612)) % 192.26/192.35 [2262]~E(x22621,x22622)+E(f798(x22621,x22623,x22624,x22625),f798(x22622,x22623,x22624,x22625)) % 192.26/192.35 [2263]~E(x22631,x22632)+E(f798(x22633,x22631,x22634,x22635),f798(x22633,x22632,x22634,x22635)) % 192.26/192.35 [2264]~E(x22641,x22642)+E(f798(x22643,x22644,x22641,x22645),f798(x22643,x22644,x22642,x22645)) % 192.26/192.35 [2265]~E(x22651,x22652)+E(f798(x22653,x22654,x22655,x22651),f798(x22653,x22654,x22655,x22652)) % 192.26/192.35 [2266]~E(x22661,x22662)+E(f507(x22661,x22663,x22664,x22665),f507(x22662,x22663,x22664,x22665)) % 192.26/192.35 [2267]~E(x22671,x22672)+E(f507(x22673,x22671,x22674,x22675),f507(x22673,x22672,x22674,x22675)) % 192.26/192.35 [2268]~E(x22681,x22682)+E(f507(x22683,x22684,x22681,x22685),f507(x22683,x22684,x22682,x22685)) % 192.26/192.35 [2269]~E(x22691,x22692)+E(f507(x22693,x22694,x22695,x22691),f507(x22693,x22694,x22695,x22692)) % 192.26/192.35 [2270]~E(x22701,x22702)+E(f868(x22701,x22703,x22704,x22705,x22706,x22707),f868(x22702,x22703,x22704,x22705,x22706,x22707)) % 192.26/192.35 [2271]~E(x22711,x22712)+E(f868(x22713,x22711,x22714,x22715,x22716,x22717),f868(x22713,x22712,x22714,x22715,x22716,x22717)) % 192.26/192.35 [2272]~E(x22721,x22722)+E(f868(x22723,x22724,x22721,x22725,x22726,x22727),f868(x22723,x22724,x22722,x22725,x22726,x22727)) % 192.26/192.35 [2273]~E(x22731,x22732)+E(f868(x22733,x22734,x22735,x22731,x22736,x22737),f868(x22733,x22734,x22735,x22732,x22736,x22737)) % 192.26/192.35 [2274]~E(x22741,x22742)+E(f868(x22743,x22744,x22745,x22746,x22741,x22747),f868(x22743,x22744,x22745,x22746,x22742,x22747)) % 192.26/192.35 [2275]~E(x22751,x22752)+E(f868(x22753,x22754,x22755,x22756,x22757,x22751),f868(x22753,x22754,x22755,x22756,x22757,x22752)) % 192.26/192.35 [2276]~E(x22761,x22762)+E(f324(x22761),f324(x22762)) % 192.26/192.35 [2277]~E(x22771,x22772)+E(f700(x22771,x22773),f700(x22772,x22773)) % 192.26/192.35 [2278]~E(x22781,x22782)+E(f700(x22783,x22781),f700(x22783,x22782)) % 192.26/192.35 [2279]~E(x22791,x22792)+E(f22(x22791,x22793),f22(x22792,x22793)) % 192.26/192.35 [2280]~E(x22801,x22802)+E(f22(x22803,x22801),f22(x22803,x22802)) % 192.26/192.35 [2281]~E(x22811,x22812)+E(f595(x22811,x22813,x22814),f595(x22812,x22813,x22814)) % 192.26/192.35 [2282]~E(x22821,x22822)+E(f595(x22823,x22821,x22824),f595(x22823,x22822,x22824)) % 192.26/192.35 [2283]~E(x22831,x22832)+E(f595(x22833,x22834,x22831),f595(x22833,x22834,x22832)) % 192.26/192.35 [2284]~E(x22841,x22842)+E(f54(x22841,x22843),f54(x22842,x22843)) % 192.26/192.35 [2285]~E(x22851,x22852)+E(f54(x22853,x22851),f54(x22853,x22852)) % 192.26/192.35 [2286]~E(x22861,x22862)+E(f347(x22861,x22863,x22864,x22865),f347(x22862,x22863,x22864,x22865)) % 192.26/192.35 [2287]~E(x22871,x22872)+E(f347(x22873,x22871,x22874,x22875),f347(x22873,x22872,x22874,x22875)) % 192.26/192.35 [2288]~E(x22881,x22882)+E(f347(x22883,x22884,x22881,x22885),f347(x22883,x22884,x22882,x22885)) % 192.26/192.35 [2289]~E(x22891,x22892)+E(f347(x22893,x22894,x22895,x22891),f347(x22893,x22894,x22895,x22892)) % 192.26/192.35 [2290]~E(x22901,x22902)+E(f336(x22901,x22903,x22904),f336(x22902,x22903,x22904)) % 192.26/192.35 [2291]~E(x22911,x22912)+E(f336(x22913,x22911,x22914),f336(x22913,x22912,x22914)) % 192.26/192.35 [2292]~E(x22921,x22922)+E(f336(x22923,x22924,x22921),f336(x22923,x22924,x22922)) % 192.26/192.35 [2293]~E(x22931,x22932)+E(f662(x22931,x22933,x22934,x22935),f662(x22932,x22933,x22934,x22935)) % 192.26/192.35 [2294]~E(x22941,x22942)+E(f662(x22943,x22941,x22944,x22945),f662(x22943,x22942,x22944,x22945)) % 192.26/192.35 [2295]~E(x22951,x22952)+E(f662(x22953,x22954,x22951,x22955),f662(x22953,x22954,x22952,x22955)) % 192.26/192.35 [2296]~E(x22961,x22962)+E(f662(x22963,x22964,x22965,x22961),f662(x22963,x22964,x22965,x22962)) % 192.26/192.35 [2297]~E(x22971,x22972)+E(f560(x22971,x22973),f560(x22972,x22973)) % 192.26/192.35 [2298]~E(x22981,x22982)+E(f560(x22983,x22981),f560(x22983,x22982)) % 192.26/192.35 [2299]~E(x22991,x22992)+E(f569(x22991,x22993),f569(x22992,x22993)) % 192.26/192.35 [2300]~E(x23001,x23002)+E(f569(x23003,x23001),f569(x23003,x23002)) % 192.26/192.35 [2301]~E(x23011,x23012)+E(f447(x23011,x23013,x23014),f447(x23012,x23013,x23014)) % 192.26/192.35 [2302]~E(x23021,x23022)+E(f447(x23023,x23021,x23024),f447(x23023,x23022,x23024)) % 192.26/192.35 [2303]~E(x23031,x23032)+E(f447(x23033,x23034,x23031),f447(x23033,x23034,x23032)) % 192.26/192.35 [2304]~E(x23041,x23042)+E(f737(x23041,x23043,x23044,x23045),f737(x23042,x23043,x23044,x23045)) % 192.26/192.35 [2305]~E(x23051,x23052)+E(f737(x23053,x23051,x23054,x23055),f737(x23053,x23052,x23054,x23055)) % 192.26/192.35 [2306]~E(x23061,x23062)+E(f737(x23063,x23064,x23061,x23065),f737(x23063,x23064,x23062,x23065)) % 192.26/192.35 [2307]~E(x23071,x23072)+E(f737(x23073,x23074,x23075,x23071),f737(x23073,x23074,x23075,x23072)) % 192.26/192.35 [2308]~E(x23081,x23082)+E(f605(x23081,x23083,x23084,x23085,x23086,x23087),f605(x23082,x23083,x23084,x23085,x23086,x23087)) % 192.26/192.35 [2309]~E(x23091,x23092)+E(f605(x23093,x23091,x23094,x23095,x23096,x23097),f605(x23093,x23092,x23094,x23095,x23096,x23097)) % 192.26/192.35 [2310]~E(x23101,x23102)+E(f605(x23103,x23104,x23101,x23105,x23106,x23107),f605(x23103,x23104,x23102,x23105,x23106,x23107)) % 192.26/192.35 [2311]~E(x23111,x23112)+E(f605(x23113,x23114,x23115,x23111,x23116,x23117),f605(x23113,x23114,x23115,x23112,x23116,x23117)) % 192.26/192.35 [2312]~E(x23121,x23122)+E(f605(x23123,x23124,x23125,x23126,x23121,x23127),f605(x23123,x23124,x23125,x23126,x23122,x23127)) % 192.26/192.35 [2313]~E(x23131,x23132)+E(f605(x23133,x23134,x23135,x23136,x23137,x23131),f605(x23133,x23134,x23135,x23136,x23137,x23132)) % 192.26/192.35 [2314]~E(x23141,x23142)+E(f258(x23141,x23143),f258(x23142,x23143)) % 192.26/192.35 [2315]~E(x23151,x23152)+E(f258(x23153,x23151),f258(x23153,x23152)) % 192.26/192.35 [2316]~E(x23161,x23162)+E(f856(x23161,x23163,x23164,x23165),f856(x23162,x23163,x23164,x23165)) % 192.26/192.35 [2317]~E(x23171,x23172)+E(f856(x23173,x23171,x23174,x23175),f856(x23173,x23172,x23174,x23175)) % 192.26/192.35 [2318]~E(x23181,x23182)+E(f856(x23183,x23184,x23181,x23185),f856(x23183,x23184,x23182,x23185)) % 192.26/192.35 [2319]~E(x23191,x23192)+E(f856(x23193,x23194,x23195,x23191),f856(x23193,x23194,x23195,x23192)) % 192.26/192.35 [2320]~E(x23201,x23202)+E(f778(x23201,x23203),f778(x23202,x23203)) % 192.26/192.35 [2321]~E(x23211,x23212)+E(f778(x23213,x23211),f778(x23213,x23212)) % 192.26/192.35 [2322]~E(x23221,x23222)+E(f791(x23221,x23223,x23224,x23225,x23226,x23227,x23228),f791(x23222,x23223,x23224,x23225,x23226,x23227,x23228)) % 192.26/192.35 [2323]~E(x23231,x23232)+E(f791(x23233,x23231,x23234,x23235,x23236,x23237,x23238),f791(x23233,x23232,x23234,x23235,x23236,x23237,x23238)) % 192.26/192.35 [2324]~E(x23241,x23242)+E(f791(x23243,x23244,x23241,x23245,x23246,x23247,x23248),f791(x23243,x23244,x23242,x23245,x23246,x23247,x23248)) % 192.26/192.35 [2325]~E(x23251,x23252)+E(f791(x23253,x23254,x23255,x23251,x23256,x23257,x23258),f791(x23253,x23254,x23255,x23252,x23256,x23257,x23258)) % 192.26/192.35 [2326]~E(x23261,x23262)+E(f791(x23263,x23264,x23265,x23266,x23261,x23267,x23268),f791(x23263,x23264,x23265,x23266,x23262,x23267,x23268)) % 192.26/192.35 [2327]~E(x23271,x23272)+E(f791(x23273,x23274,x23275,x23276,x23277,x23271,x23278),f791(x23273,x23274,x23275,x23276,x23277,x23272,x23278)) % 192.26/192.35 [2328]~E(x23281,x23282)+E(f791(x23283,x23284,x23285,x23286,x23287,x23288,x23281),f791(x23283,x23284,x23285,x23286,x23287,x23288,x23282)) % 192.26/192.35 [2329]~E(x23291,x23292)+E(f514(x23291,x23293,x23294,x23295),f514(x23292,x23293,x23294,x23295)) % 192.26/192.35 [2330]~E(x23301,x23302)+E(f514(x23303,x23301,x23304,x23305),f514(x23303,x23302,x23304,x23305)) % 192.26/192.35 [2331]~E(x23311,x23312)+E(f514(x23313,x23314,x23311,x23315),f514(x23313,x23314,x23312,x23315)) % 192.26/192.35 [2332]~E(x23321,x23322)+E(f514(x23323,x23324,x23325,x23321),f514(x23323,x23324,x23325,x23322)) % 192.26/192.35 [2333]~E(x23331,x23332)+E(f331(x23331,x23333),f331(x23332,x23333)) % 192.26/192.35 [2334]~E(x23341,x23342)+E(f331(x23343,x23341),f331(x23343,x23342)) % 192.26/192.35 [2335]~E(x23351,x23352)+E(f876(x23351,x23353,x23354,x23355,x23356),f876(x23352,x23353,x23354,x23355,x23356)) % 192.26/192.35 [2336]~E(x23361,x23362)+E(f876(x23363,x23361,x23364,x23365,x23366),f876(x23363,x23362,x23364,x23365,x23366)) % 192.26/192.35 [2337]~E(x23371,x23372)+E(f876(x23373,x23374,x23371,x23375,x23376),f876(x23373,x23374,x23372,x23375,x23376)) % 192.26/192.35 [2338]~E(x23381,x23382)+E(f876(x23383,x23384,x23385,x23381,x23386),f876(x23383,x23384,x23385,x23382,x23386)) % 192.26/192.35 [2339]~E(x23391,x23392)+E(f876(x23393,x23394,x23395,x23396,x23391),f876(x23393,x23394,x23395,x23396,x23392)) % 192.26/192.35 [2340]~E(x23401,x23402)+E(f743(x23401,x23403),f743(x23402,x23403)) % 192.26/192.35 [2341]~E(x23411,x23412)+E(f743(x23413,x23411),f743(x23413,x23412)) % 192.26/192.35 [2342]~E(x23421,x23422)+E(f616(x23421,x23423,x23424),f616(x23422,x23423,x23424)) % 192.26/192.35 [2343]~E(x23431,x23432)+E(f616(x23433,x23431,x23434),f616(x23433,x23432,x23434)) % 192.26/192.35 [2344]~E(x23441,x23442)+E(f616(x23443,x23444,x23441),f616(x23443,x23444,x23442)) % 192.26/192.35 [2345]~E(x23451,x23452)+E(f748(x23451,x23453,x23454),f748(x23452,x23453,x23454)) % 192.26/192.35 [2346]~E(x23461,x23462)+E(f748(x23463,x23461,x23464),f748(x23463,x23462,x23464)) % 192.26/192.35 [2347]~E(x23471,x23472)+E(f748(x23473,x23474,x23471),f748(x23473,x23474,x23472)) % 192.26/192.35 [2348]~E(x23481,x23482)+E(f554(x23481,x23483,x23484),f554(x23482,x23483,x23484)) % 192.26/192.35 [2349]~E(x23491,x23492)+E(f554(x23493,x23491,x23494),f554(x23493,x23492,x23494)) % 192.26/192.35 [2350]~E(x23501,x23502)+E(f554(x23503,x23504,x23501),f554(x23503,x23504,x23502)) % 192.26/192.35 [2351]~E(x23511,x23512)+E(f462(x23511,x23513),f462(x23512,x23513)) % 192.26/192.35 [2352]~E(x23521,x23522)+E(f462(x23523,x23521),f462(x23523,x23522)) % 192.26/192.35 [2353]~E(x23531,x23532)+E(f771(x23531,x23533,x23534,x23535,x23536,x23537,x23538),f771(x23532,x23533,x23534,x23535,x23536,x23537,x23538)) % 192.26/192.35 [2354]~E(x23541,x23542)+E(f771(x23543,x23541,x23544,x23545,x23546,x23547,x23548),f771(x23543,x23542,x23544,x23545,x23546,x23547,x23548)) % 192.26/192.35 [2355]~E(x23551,x23552)+E(f771(x23553,x23554,x23551,x23555,x23556,x23557,x23558),f771(x23553,x23554,x23552,x23555,x23556,x23557,x23558)) % 192.26/192.35 [2356]~E(x23561,x23562)+E(f771(x23563,x23564,x23565,x23561,x23566,x23567,x23568),f771(x23563,x23564,x23565,x23562,x23566,x23567,x23568)) % 192.26/192.35 [2357]~E(x23571,x23572)+E(f771(x23573,x23574,x23575,x23576,x23571,x23577,x23578),f771(x23573,x23574,x23575,x23576,x23572,x23577,x23578)) % 192.26/192.35 [2358]~E(x23581,x23582)+E(f771(x23583,x23584,x23585,x23586,x23587,x23581,x23588),f771(x23583,x23584,x23585,x23586,x23587,x23582,x23588)) % 192.26/192.35 [2359]~E(x23591,x23592)+E(f771(x23593,x23594,x23595,x23596,x23597,x23598,x23591),f771(x23593,x23594,x23595,x23596,x23597,x23598,x23592)) % 192.26/192.35 [2360]~E(x23601,x23602)+E(f693(x23601,x23603,x23604,x23605),f693(x23602,x23603,x23604,x23605)) % 192.26/192.35 [2361]~E(x23611,x23612)+E(f693(x23613,x23611,x23614,x23615),f693(x23613,x23612,x23614,x23615)) % 192.26/192.35 [2362]~E(x23621,x23622)+E(f693(x23623,x23624,x23621,x23625),f693(x23623,x23624,x23622,x23625)) % 192.26/192.35 [2363]~E(x23631,x23632)+E(f693(x23633,x23634,x23635,x23631),f693(x23633,x23634,x23635,x23632)) % 192.26/192.35 [2364]~E(x23641,x23642)+E(f344(x23641,x23643,x23644,x23645),f344(x23642,x23643,x23644,x23645)) % 192.26/192.35 [2365]~E(x23651,x23652)+E(f344(x23653,x23651,x23654,x23655),f344(x23653,x23652,x23654,x23655)) % 192.26/192.35 [2366]~E(x23661,x23662)+E(f344(x23663,x23664,x23661,x23665),f344(x23663,x23664,x23662,x23665)) % 192.26/192.35 [2367]~E(x23671,x23672)+E(f344(x23673,x23674,x23675,x23671),f344(x23673,x23674,x23675,x23672)) % 192.26/192.35 [2368]~E(x23681,x23682)+E(f459(x23681,x23683,x23684,x23685,x23686,x23687,x23688),f459(x23682,x23683,x23684,x23685,x23686,x23687,x23688)) % 192.26/192.35 [2369]~E(x23691,x23692)+E(f459(x23693,x23691,x23694,x23695,x23696,x23697,x23698),f459(x23693,x23692,x23694,x23695,x23696,x23697,x23698)) % 192.26/192.35 [2370]~E(x23701,x23702)+E(f459(x23703,x23704,x23701,x23705,x23706,x23707,x23708),f459(x23703,x23704,x23702,x23705,x23706,x23707,x23708)) % 192.26/192.35 [2371]~E(x23711,x23712)+E(f459(x23713,x23714,x23715,x23711,x23716,x23717,x23718),f459(x23713,x23714,x23715,x23712,x23716,x23717,x23718)) % 192.26/192.35 [2372]~E(x23721,x23722)+E(f459(x23723,x23724,x23725,x23726,x23721,x23727,x23728),f459(x23723,x23724,x23725,x23726,x23722,x23727,x23728)) % 192.26/192.35 [2373]~E(x23731,x23732)+E(f459(x23733,x23734,x23735,x23736,x23737,x23731,x23738),f459(x23733,x23734,x23735,x23736,x23737,x23732,x23738)) % 192.26/192.35 [2374]~E(x23741,x23742)+E(f459(x23743,x23744,x23745,x23746,x23747,x23748,x23741),f459(x23743,x23744,x23745,x23746,x23747,x23748,x23742)) % 192.26/192.35 [2375]~E(x23751,x23752)+E(f328(x23751,x23753,x23754,x23755),f328(x23752,x23753,x23754,x23755)) % 192.26/192.35 [2376]~E(x23761,x23762)+E(f328(x23763,x23761,x23764,x23765),f328(x23763,x23762,x23764,x23765)) % 192.26/192.35 [2377]~E(x23771,x23772)+E(f328(x23773,x23774,x23771,x23775),f328(x23773,x23774,x23772,x23775)) % 192.26/192.35 [2378]~E(x23781,x23782)+E(f328(x23783,x23784,x23785,x23781),f328(x23783,x23784,x23785,x23782)) % 192.26/192.35 [2379]~E(x23791,x23792)+E(f446(x23791,x23793,x23794),f446(x23792,x23793,x23794)) % 192.26/192.35 [2380]~E(x23801,x23802)+E(f446(x23803,x23801,x23804),f446(x23803,x23802,x23804)) % 192.26/192.35 [2381]~E(x23811,x23812)+E(f446(x23813,x23814,x23811),f446(x23813,x23814,x23812)) % 192.26/192.35 [2382]~E(x23821,x23822)+E(f794(x23821,x23823,x23824,x23825,x23826),f794(x23822,x23823,x23824,x23825,x23826)) % 192.26/192.35 [2383]~E(x23831,x23832)+E(f794(x23833,x23831,x23834,x23835,x23836),f794(x23833,x23832,x23834,x23835,x23836)) % 192.26/192.35 [2384]~E(x23841,x23842)+E(f794(x23843,x23844,x23841,x23845,x23846),f794(x23843,x23844,x23842,x23845,x23846)) % 192.26/192.35 [2385]~E(x23851,x23852)+E(f794(x23853,x23854,x23855,x23851,x23856),f794(x23853,x23854,x23855,x23852,x23856)) % 192.26/192.35 [2386]~E(x23861,x23862)+E(f794(x23863,x23864,x23865,x23866,x23861),f794(x23863,x23864,x23865,x23866,x23862)) % 192.26/192.35 [2387]~E(x23871,x23872)+E(f419(x23871,x23873,x23874,x23875),f419(x23872,x23873,x23874,x23875)) % 192.26/192.35 [2388]~E(x23881,x23882)+E(f419(x23883,x23881,x23884,x23885),f419(x23883,x23882,x23884,x23885)) % 192.26/192.35 [2389]~E(x23891,x23892)+E(f419(x23893,x23894,x23891,x23895),f419(x23893,x23894,x23892,x23895)) % 192.26/192.35 [2390]~E(x23901,x23902)+E(f419(x23903,x23904,x23905,x23901),f419(x23903,x23904,x23905,x23902)) % 192.26/192.35 [2391]~E(x23911,x23912)+E(f820(x23911,x23913,x23914,x23915),f820(x23912,x23913,x23914,x23915)) % 192.26/192.35 [2392]~E(x23921,x23922)+E(f820(x23923,x23921,x23924,x23925),f820(x23923,x23922,x23924,x23925)) % 192.26/192.35 [2393]~E(x23931,x23932)+E(f820(x23933,x23934,x23931,x23935),f820(x23933,x23934,x23932,x23935)) % 192.26/192.35 [2394]~E(x23941,x23942)+E(f820(x23943,x23944,x23945,x23941),f820(x23943,x23944,x23945,x23942)) % 192.26/192.35 [2395]~E(x23951,x23952)+E(f591(x23951,x23953,x23954),f591(x23952,x23953,x23954)) % 192.26/192.35 [2396]~E(x23961,x23962)+E(f591(x23963,x23961,x23964),f591(x23963,x23962,x23964)) % 192.26/192.35 [2397]~E(x23971,x23972)+E(f591(x23973,x23974,x23971),f591(x23973,x23974,x23972)) % 192.26/192.35 [2398]~E(x23981,x23982)+E(f395(x23981,x23983,x23984),f395(x23982,x23983,x23984)) % 192.26/192.35 [2399]~E(x23991,x23992)+E(f395(x23993,x23991,x23994),f395(x23993,x23992,x23994)) % 192.26/192.35 [2400]~E(x24001,x24002)+E(f395(x24003,x24004,x24001),f395(x24003,x24004,x24002)) % 192.26/192.35 [2401]~E(x24011,x24012)+E(f100(x24011,x24013,x24014),f100(x24012,x24013,x24014)) % 192.26/192.35 [2402]~E(x24021,x24022)+E(f100(x24023,x24021,x24024),f100(x24023,x24022,x24024)) % 192.26/192.35 [2403]~E(x24031,x24032)+E(f100(x24033,x24034,x24031),f100(x24033,x24034,x24032)) % 192.26/192.35 [2404]~E(x24041,x24042)+E(f883(x24041,x24043,x24044),f883(x24042,x24043,x24044)) % 192.26/192.35 [2405]~E(x24051,x24052)+E(f883(x24053,x24051,x24054),f883(x24053,x24052,x24054)) % 192.26/192.35 [2406]~E(x24061,x24062)+E(f883(x24063,x24064,x24061),f883(x24063,x24064,x24062)) % 192.26/192.35 [2407]~E(x24071,x24072)+E(f663(x24071,x24073,x24074),f663(x24072,x24073,x24074)) % 192.26/192.35 [2408]~E(x24081,x24082)+E(f663(x24083,x24081,x24084),f663(x24083,x24082,x24084)) % 192.26/192.35 [2409]~E(x24091,x24092)+E(f663(x24093,x24094,x24091),f663(x24093,x24094,x24092)) % 192.26/192.35 [2410]~E(x24101,x24102)+E(f638(x24101,x24103),f638(x24102,x24103)) % 192.26/192.35 [2411]~E(x24111,x24112)+E(f638(x24113,x24111),f638(x24113,x24112)) % 192.26/192.35 [2412]~E(x24121,x24122)+E(f510(x24121,x24123,x24124,x24125),f510(x24122,x24123,x24124,x24125)) % 192.26/192.35 [2413]~E(x24131,x24132)+E(f510(x24133,x24131,x24134,x24135),f510(x24133,x24132,x24134,x24135)) % 192.26/192.35 [2414]~E(x24141,x24142)+E(f510(x24143,x24144,x24141,x24145),f510(x24143,x24144,x24142,x24145)) % 192.26/192.35 [2415]~E(x24151,x24152)+E(f510(x24153,x24154,x24155,x24151),f510(x24153,x24154,x24155,x24152)) % 192.26/192.35 [2416]~E(x24161,x24162)+E(f723(x24161,x24163),f723(x24162,x24163)) % 192.26/192.35 [2417]~E(x24171,x24172)+E(f723(x24173,x24171),f723(x24173,x24172)) % 192.26/192.35 [2418]~E(x24181,x24182)+E(f656(x24181,x24183,x24184,x24185),f656(x24182,x24183,x24184,x24185)) % 192.26/192.35 [2419]~E(x24191,x24192)+E(f656(x24193,x24191,x24194,x24195),f656(x24193,x24192,x24194,x24195)) % 192.26/192.35 [2420]~E(x24201,x24202)+E(f656(x24203,x24204,x24201,x24205),f656(x24203,x24204,x24202,x24205)) % 192.26/192.35 [2421]~E(x24211,x24212)+E(f656(x24213,x24214,x24215,x24211),f656(x24213,x24214,x24215,x24212)) % 192.26/192.35 [2422]~E(x24221,x24222)+E(f758(x24221,x24223,x24224,x24225,x24226,x24227),f758(x24222,x24223,x24224,x24225,x24226,x24227)) % 192.26/192.35 [2423]~E(x24231,x24232)+E(f758(x24233,x24231,x24234,x24235,x24236,x24237),f758(x24233,x24232,x24234,x24235,x24236,x24237)) % 192.26/192.35 [2424]~E(x24241,x24242)+E(f758(x24243,x24244,x24241,x24245,x24246,x24247),f758(x24243,x24244,x24242,x24245,x24246,x24247)) % 192.26/192.35 [2425]~E(x24251,x24252)+E(f758(x24253,x24254,x24255,x24251,x24256,x24257),f758(x24253,x24254,x24255,x24252,x24256,x24257)) % 192.26/192.35 [2426]~E(x24261,x24262)+E(f758(x24263,x24264,x24265,x24266,x24261,x24267),f758(x24263,x24264,x24265,x24266,x24262,x24267)) % 192.26/192.35 [2427]~E(x24271,x24272)+E(f758(x24273,x24274,x24275,x24276,x24277,x24271),f758(x24273,x24274,x24275,x24276,x24277,x24272)) % 192.26/192.35 [2428]~E(x24281,x24282)+E(f767(x24281,x24283,x24284,x24285,x24286),f767(x24282,x24283,x24284,x24285,x24286)) % 192.26/192.35 [2429]~E(x24291,x24292)+E(f767(x24293,x24291,x24294,x24295,x24296),f767(x24293,x24292,x24294,x24295,x24296)) % 192.26/192.35 [2430]~E(x24301,x24302)+E(f767(x24303,x24304,x24301,x24305,x24306),f767(x24303,x24304,x24302,x24305,x24306)) % 192.26/192.35 [2431]~E(x24311,x24312)+E(f767(x24313,x24314,x24315,x24311,x24316),f767(x24313,x24314,x24315,x24312,x24316)) % 192.26/192.35 [2432]~E(x24321,x24322)+E(f767(x24323,x24324,x24325,x24326,x24321),f767(x24323,x24324,x24325,x24326,x24322)) % 192.26/192.35 [2433]~E(x24331,x24332)+E(f221(x24331,x24333,x24334),f221(x24332,x24333,x24334)) % 192.26/192.35 [2434]~E(x24341,x24342)+E(f221(x24343,x24341,x24344),f221(x24343,x24342,x24344)) % 192.26/192.35 [2435]~E(x24351,x24352)+E(f221(x24353,x24354,x24351),f221(x24353,x24354,x24352)) % 192.26/192.35 [2436]~E(x24361,x24362)+E(f872(x24361,x24363,x24364,x24365),f872(x24362,x24363,x24364,x24365)) % 192.26/192.35 [2437]~E(x24371,x24372)+E(f872(x24373,x24371,x24374,x24375),f872(x24373,x24372,x24374,x24375)) % 192.26/192.35 [2438]~E(x24381,x24382)+E(f872(x24383,x24384,x24381,x24385),f872(x24383,x24384,x24382,x24385)) % 192.26/192.35 [2439]~E(x24391,x24392)+E(f872(x24393,x24394,x24395,x24391),f872(x24393,x24394,x24395,x24392)) % 192.26/192.35 [2440]~E(x24401,x24402)+E(f726(x24401,x24403),f726(x24402,x24403)) % 192.26/192.35 [2441]~E(x24411,x24412)+E(f726(x24413,x24411),f726(x24413,x24412)) % 192.26/192.35 [2442]~E(x24421,x24422)+E(f386(x24421,x24423),f386(x24422,x24423)) % 192.26/192.35 [2443]~E(x24431,x24432)+E(f386(x24433,x24431),f386(x24433,x24432)) % 192.26/192.35 [2444]~E(x24441,x24442)+E(f744(x24441,x24443),f744(x24442,x24443)) % 192.26/192.35 [2445]~E(x24451,x24452)+E(f744(x24453,x24451),f744(x24453,x24452)) % 192.26/192.35 [2446]~E(x24461,x24462)+E(f315(x24461,x24463),f315(x24462,x24463)) % 192.26/192.35 [2447]~E(x24471,x24472)+E(f315(x24473,x24471),f315(x24473,x24472)) % 192.26/192.35 [2448]~E(x24481,x24482)+E(f563(x24481,x24483,x24484,x24485),f563(x24482,x24483,x24484,x24485)) % 192.26/192.35 [2449]~E(x24491,x24492)+E(f563(x24493,x24491,x24494,x24495),f563(x24493,x24492,x24494,x24495)) % 192.26/192.35 [2450]~E(x24501,x24502)+E(f563(x24503,x24504,x24501,x24505),f563(x24503,x24504,x24502,x24505)) % 192.26/192.35 [2451]~E(x24511,x24512)+E(f563(x24513,x24514,x24515,x24511),f563(x24513,x24514,x24515,x24512)) % 192.26/192.35 [2452]~E(x24521,x24522)+E(f857(x24521,x24523,x24524,x24525,x24526),f857(x24522,x24523,x24524,x24525,x24526)) % 192.26/192.35 [2453]~E(x24531,x24532)+E(f857(x24533,x24531,x24534,x24535,x24536),f857(x24533,x24532,x24534,x24535,x24536)) % 192.26/192.35 [2454]~E(x24541,x24542)+E(f857(x24543,x24544,x24541,x24545,x24546),f857(x24543,x24544,x24542,x24545,x24546)) % 192.26/192.35 [2455]~E(x24551,x24552)+E(f857(x24553,x24554,x24555,x24551,x24556),f857(x24553,x24554,x24555,x24552,x24556)) % 192.26/192.35 [2456]~E(x24561,x24562)+E(f857(x24563,x24564,x24565,x24566,x24561),f857(x24563,x24564,x24565,x24566,x24562)) % 192.26/192.35 [2457]~E(x24571,x24572)+E(f300(x24571),f300(x24572)) % 192.26/192.35 [2458]~E(x24581,x24582)+E(f689(x24581,x24583,x24584,x24585),f689(x24582,x24583,x24584,x24585)) % 192.26/192.35 [2459]~E(x24591,x24592)+E(f689(x24593,x24591,x24594,x24595),f689(x24593,x24592,x24594,x24595)) % 192.26/192.35 [2460]~E(x24601,x24602)+E(f689(x24603,x24604,x24601,x24605),f689(x24603,x24604,x24602,x24605)) % 192.26/192.35 [2461]~E(x24611,x24612)+E(f689(x24613,x24614,x24615,x24611),f689(x24613,x24614,x24615,x24612)) % 192.26/192.35 [2462]~E(x24621,x24622)+E(f863(x24621,x24623,x24624,x24625,x24626),f863(x24622,x24623,x24624,x24625,x24626)) % 192.26/192.35 [2463]~E(x24631,x24632)+E(f863(x24633,x24631,x24634,x24635,x24636),f863(x24633,x24632,x24634,x24635,x24636)) % 192.26/192.35 [2464]~E(x24641,x24642)+E(f863(x24643,x24644,x24641,x24645,x24646),f863(x24643,x24644,x24642,x24645,x24646)) % 192.26/192.35 [2465]~E(x24651,x24652)+E(f863(x24653,x24654,x24655,x24651,x24656),f863(x24653,x24654,x24655,x24652,x24656)) % 192.26/192.35 [2466]~E(x24661,x24662)+E(f863(x24663,x24664,x24665,x24666,x24661),f863(x24663,x24664,x24665,x24666,x24662)) % 192.26/192.35 [2467]~E(x24671,x24672)+E(f518(x24671,x24673,x24674,x24675),f518(x24672,x24673,x24674,x24675)) % 192.26/192.35 [2468]~E(x24681,x24682)+E(f518(x24683,x24681,x24684,x24685),f518(x24683,x24682,x24684,x24685)) % 192.26/192.35 [2469]~E(x24691,x24692)+E(f518(x24693,x24694,x24691,x24695),f518(x24693,x24694,x24692,x24695)) % 192.26/192.35 [2470]~E(x24701,x24702)+E(f518(x24703,x24704,x24705,x24701),f518(x24703,x24704,x24705,x24702)) % 192.26/192.35 [2471]~E(x24711,x24712)+E(f575(x24711,x24713,x24714),f575(x24712,x24713,x24714)) % 192.26/192.35 [2472]~E(x24721,x24722)+E(f575(x24723,x24721,x24724),f575(x24723,x24722,x24724)) % 192.26/192.35 [2473]~E(x24731,x24732)+E(f575(x24733,x24734,x24731),f575(x24733,x24734,x24732)) % 192.26/192.35 [2474]~E(x24741,x24742)+E(f491(x24741,x24743,x24744),f491(x24742,x24743,x24744)) % 192.26/192.35 [2475]~E(x24751,x24752)+E(f491(x24753,x24751,x24754),f491(x24753,x24752,x24754)) % 192.26/192.35 [2476]~E(x24761,x24762)+E(f491(x24763,x24764,x24761),f491(x24763,x24764,x24762)) % 192.26/192.35 [2477]~E(x24771,x24772)+E(f660(x24771,x24773,x24774,x24775,x24776),f660(x24772,x24773,x24774,x24775,x24776)) % 192.26/192.35 [2478]~E(x24781,x24782)+E(f660(x24783,x24781,x24784,x24785,x24786),f660(x24783,x24782,x24784,x24785,x24786)) % 192.26/192.35 [2479]~E(x24791,x24792)+E(f660(x24793,x24794,x24791,x24795,x24796),f660(x24793,x24794,x24792,x24795,x24796)) % 192.26/192.35 [2480]~E(x24801,x24802)+E(f660(x24803,x24804,x24805,x24801,x24806),f660(x24803,x24804,x24805,x24802,x24806)) % 192.26/192.35 [2481]~E(x24811,x24812)+E(f660(x24813,x24814,x24815,x24816,x24811),f660(x24813,x24814,x24815,x24816,x24812)) % 192.26/192.35 [2482]~E(x24821,x24822)+E(f831(x24821,x24823,x24824,x24825,x24826,x24827),f831(x24822,x24823,x24824,x24825,x24826,x24827)) % 192.26/192.35 [2483]~E(x24831,x24832)+E(f831(x24833,x24831,x24834,x24835,x24836,x24837),f831(x24833,x24832,x24834,x24835,x24836,x24837)) % 192.26/192.35 [2484]~E(x24841,x24842)+E(f831(x24843,x24844,x24841,x24845,x24846,x24847),f831(x24843,x24844,x24842,x24845,x24846,x24847)) % 192.26/192.35 [2485]~E(x24851,x24852)+E(f831(x24853,x24854,x24855,x24851,x24856,x24857),f831(x24853,x24854,x24855,x24852,x24856,x24857)) % 192.26/192.35 [2486]~E(x24861,x24862)+E(f831(x24863,x24864,x24865,x24866,x24861,x24867),f831(x24863,x24864,x24865,x24866,x24862,x24867)) % 192.26/192.35 [2487]~E(x24871,x24872)+E(f831(x24873,x24874,x24875,x24876,x24877,x24871),f831(x24873,x24874,x24875,x24876,x24877,x24872)) % 192.26/192.35 [2488]~E(x24881,x24882)+E(f124(x24881,x24883,x24884,x24885),f124(x24882,x24883,x24884,x24885)) % 192.26/192.35 [2489]~E(x24891,x24892)+E(f124(x24893,x24891,x24894,x24895),f124(x24893,x24892,x24894,x24895)) % 192.26/192.35 [2490]~E(x24901,x24902)+E(f124(x24903,x24904,x24901,x24905),f124(x24903,x24904,x24902,x24905)) % 192.26/192.35 [2491]~E(x24911,x24912)+E(f124(x24913,x24914,x24915,x24911),f124(x24913,x24914,x24915,x24912)) % 192.26/192.35 [2492]~E(x24921,x24922)+E(f481(x24921,x24923),f481(x24922,x24923)) % 192.26/192.35 [2493]~E(x24931,x24932)+E(f481(x24933,x24931),f481(x24933,x24932)) % 192.26/192.35 [2494]~E(x24941,x24942)+E(f455(x24941,x24943,x24944,x24945,x24946),f455(x24942,x24943,x24944,x24945,x24946)) % 192.26/192.35 [2495]~E(x24951,x24952)+E(f455(x24953,x24951,x24954,x24955,x24956),f455(x24953,x24952,x24954,x24955,x24956)) % 192.26/192.35 [2496]~E(x24961,x24962)+E(f455(x24963,x24964,x24961,x24965,x24966),f455(x24963,x24964,x24962,x24965,x24966)) % 192.26/192.35 [2497]~E(x24971,x24972)+E(f455(x24973,x24974,x24975,x24971,x24976),f455(x24973,x24974,x24975,x24972,x24976)) % 192.26/192.35 [2498]~E(x24981,x24982)+E(f455(x24983,x24984,x24985,x24986,x24981),f455(x24983,x24984,x24985,x24986,x24982)) % 192.26/192.35 [2499]~E(x24991,x24992)+E(f379(x24991,x24993),f379(x24992,x24993)) % 192.26/192.35 [2500]~E(x25001,x25002)+E(f379(x25003,x25001),f379(x25003,x25002)) % 192.26/192.35 [2501]~E(x25011,x25012)+E(f688(x25011,x25013,x25014),f688(x25012,x25013,x25014)) % 192.26/192.35 [2502]~E(x25021,x25022)+E(f688(x25023,x25021,x25024),f688(x25023,x25022,x25024)) % 192.26/192.35 [2503]~E(x25031,x25032)+E(f688(x25033,x25034,x25031),f688(x25033,x25034,x25032)) % 192.26/192.35 [2504]~E(x25041,x25042)+E(f578(x25041,x25043,x25044),f578(x25042,x25043,x25044)) % 192.26/192.35 [2505]~E(x25051,x25052)+E(f578(x25053,x25051,x25054),f578(x25053,x25052,x25054)) % 192.26/192.35 [2506]~E(x25061,x25062)+E(f578(x25063,x25064,x25061),f578(x25063,x25064,x25062)) % 192.26/192.35 [2507]~E(x25071,x25072)+E(f641(x25071,x25073,x25074,x25075),f641(x25072,x25073,x25074,x25075)) % 192.26/192.35 [2508]~E(x25081,x25082)+E(f641(x25083,x25081,x25084,x25085),f641(x25083,x25082,x25084,x25085)) % 192.26/192.35 [2509]~E(x25091,x25092)+E(f641(x25093,x25094,x25091,x25095),f641(x25093,x25094,x25092,x25095)) % 192.26/192.35 [2510]~E(x25101,x25102)+E(f641(x25103,x25104,x25105,x25101),f641(x25103,x25104,x25105,x25102)) % 192.26/192.35 [2511]~E(x25111,x25112)+E(f628(x25111,x25113,x25114,x25115,x25116),f628(x25112,x25113,x25114,x25115,x25116)) % 192.26/192.35 [2512]~E(x25121,x25122)+E(f628(x25123,x25121,x25124,x25125,x25126),f628(x25123,x25122,x25124,x25125,x25126)) % 192.26/192.35 [2513]~E(x25131,x25132)+E(f628(x25133,x25134,x25131,x25135,x25136),f628(x25133,x25134,x25132,x25135,x25136)) % 192.26/192.35 [2514]~E(x25141,x25142)+E(f628(x25143,x25144,x25145,x25141,x25146),f628(x25143,x25144,x25145,x25142,x25146)) % 192.26/192.35 [2515]~E(x25151,x25152)+E(f628(x25153,x25154,x25155,x25156,x25151),f628(x25153,x25154,x25155,x25156,x25152)) % 192.26/192.35 [2516]~E(x25161,x25162)+E(f773(x25161,x25163),f773(x25162,x25163)) % 192.26/192.35 [2517]~E(x25171,x25172)+E(f773(x25173,x25171),f773(x25173,x25172)) % 192.26/192.35 [2518]~E(x25181,x25182)+E(f814(x25181,x25183,x25184,x25185,x25186,x25187,x25188),f814(x25182,x25183,x25184,x25185,x25186,x25187,x25188)) % 192.26/192.35 [2519]~E(x25191,x25192)+E(f814(x25193,x25191,x25194,x25195,x25196,x25197,x25198),f814(x25193,x25192,x25194,x25195,x25196,x25197,x25198)) % 192.26/192.35 [2520]~E(x25201,x25202)+E(f814(x25203,x25204,x25201,x25205,x25206,x25207,x25208),f814(x25203,x25204,x25202,x25205,x25206,x25207,x25208)) % 192.26/192.35 [2521]~E(x25211,x25212)+E(f814(x25213,x25214,x25215,x25211,x25216,x25217,x25218),f814(x25213,x25214,x25215,x25212,x25216,x25217,x25218)) % 192.26/192.35 [2522]~E(x25221,x25222)+E(f814(x25223,x25224,x25225,x25226,x25221,x25227,x25228),f814(x25223,x25224,x25225,x25226,x25222,x25227,x25228)) % 192.26/192.35 [2523]~E(x25231,x25232)+E(f814(x25233,x25234,x25235,x25236,x25237,x25231,x25238),f814(x25233,x25234,x25235,x25236,x25237,x25232,x25238)) % 192.26/192.35 [2524]~E(x25241,x25242)+E(f814(x25243,x25244,x25245,x25246,x25247,x25248,x25241),f814(x25243,x25244,x25245,x25246,x25247,x25248,x25242)) % 192.26/192.35 [2525]~E(x25251,x25252)+E(f280(x25251,x25253,x25254),f280(x25252,x25253,x25254)) % 192.26/192.35 [2526]~E(x25261,x25262)+E(f280(x25263,x25261,x25264),f280(x25263,x25262,x25264)) % 192.26/192.35 [2527]~E(x25271,x25272)+E(f280(x25273,x25274,x25271),f280(x25273,x25274,x25272)) % 192.26/192.35 [2528]~E(x25281,x25282)+E(f740(x25281,x25283),f740(x25282,x25283)) % 192.26/192.35 [2529]~E(x25291,x25292)+E(f740(x25293,x25291),f740(x25293,x25292)) % 192.26/192.35 [2530]~E(x25301,x25302)+E(f830(x25301,x25303,x25304,x25305,x25306,x25307),f830(x25302,x25303,x25304,x25305,x25306,x25307)) % 192.26/192.35 [2531]~E(x25311,x25312)+E(f830(x25313,x25311,x25314,x25315,x25316,x25317),f830(x25313,x25312,x25314,x25315,x25316,x25317)) % 192.26/192.35 [2532]~E(x25321,x25322)+E(f830(x25323,x25324,x25321,x25325,x25326,x25327),f830(x25323,x25324,x25322,x25325,x25326,x25327)) % 192.26/192.35 [2533]~E(x25331,x25332)+E(f830(x25333,x25334,x25335,x25331,x25336,x25337),f830(x25333,x25334,x25335,x25332,x25336,x25337)) % 192.26/192.35 [2534]~E(x25341,x25342)+E(f830(x25343,x25344,x25345,x25346,x25341,x25347),f830(x25343,x25344,x25345,x25346,x25342,x25347)) % 192.26/192.35 [2535]~E(x25351,x25352)+E(f830(x25353,x25354,x25355,x25356,x25357,x25351),f830(x25353,x25354,x25355,x25356,x25357,x25352)) % 192.26/192.35 [2536]~E(x25361,x25362)+E(f428(x25361,x25363,x25364),f428(x25362,x25363,x25364)) % 192.26/192.35 [2537]~E(x25371,x25372)+E(f428(x25373,x25371,x25374),f428(x25373,x25372,x25374)) % 192.26/192.35 [2538]~E(x25381,x25382)+E(f428(x25383,x25384,x25381),f428(x25383,x25384,x25382)) % 192.26/192.35 [2539]~E(x25391,x25392)+E(f884(x25391,x25393,x25394,x25395,x25396),f884(x25392,x25393,x25394,x25395,x25396)) % 192.26/192.35 [2540]~E(x25401,x25402)+E(f884(x25403,x25401,x25404,x25405,x25406),f884(x25403,x25402,x25404,x25405,x25406)) % 192.26/192.35 [2541]~E(x25411,x25412)+E(f884(x25413,x25414,x25411,x25415,x25416),f884(x25413,x25414,x25412,x25415,x25416)) % 192.26/192.35 [2542]~E(x25421,x25422)+E(f884(x25423,x25424,x25425,x25421,x25426),f884(x25423,x25424,x25425,x25422,x25426)) % 192.26/192.35 [2543]~E(x25431,x25432)+E(f884(x25433,x25434,x25435,x25436,x25431),f884(x25433,x25434,x25435,x25436,x25432)) % 192.26/192.35 [2544]~E(x25441,x25442)+E(f821(x25441,x25443,x25444,x25445),f821(x25442,x25443,x25444,x25445)) % 192.26/192.35 [2545]~E(x25451,x25452)+E(f821(x25453,x25451,x25454,x25455),f821(x25453,x25452,x25454,x25455)) % 192.26/192.35 [2546]~E(x25461,x25462)+E(f821(x25463,x25464,x25461,x25465),f821(x25463,x25464,x25462,x25465)) % 192.26/192.35 [2547]~E(x25471,x25472)+E(f821(x25473,x25474,x25475,x25471),f821(x25473,x25474,x25475,x25472)) % 192.26/192.35 [2548]~E(x25481,x25482)+E(f731(x25481,x25483,x25484,x25485),f731(x25482,x25483,x25484,x25485)) % 192.26/192.35 [2549]~E(x25491,x25492)+E(f731(x25493,x25491,x25494,x25495),f731(x25493,x25492,x25494,x25495)) % 192.26/192.35 [2550]~E(x25501,x25502)+E(f731(x25503,x25504,x25501,x25505),f731(x25503,x25504,x25502,x25505)) % 192.26/192.35 [2551]~E(x25511,x25512)+E(f731(x25513,x25514,x25515,x25511),f731(x25513,x25514,x25515,x25512)) % 192.26/192.35 [2552]~E(x25521,x25522)+E(f837(x25521,x25523,x25524),f837(x25522,x25523,x25524)) % 192.26/192.35 [2553]~E(x25531,x25532)+E(f837(x25533,x25531,x25534),f837(x25533,x25532,x25534)) % 192.26/192.35 [2554]~E(x25541,x25542)+E(f837(x25543,x25544,x25541),f837(x25543,x25544,x25542)) % 192.26/192.35 [2555]~E(x25551,x25552)+E(f204(x25551,x25553,x25554,x25555,x25556),f204(x25552,x25553,x25554,x25555,x25556)) % 192.26/192.35 [2556]~E(x25561,x25562)+E(f204(x25563,x25561,x25564,x25565,x25566),f204(x25563,x25562,x25564,x25565,x25566)) % 192.26/192.35 [2557]~E(x25571,x25572)+E(f204(x25573,x25574,x25571,x25575,x25576),f204(x25573,x25574,x25572,x25575,x25576)) % 192.26/192.35 [2558]~E(x25581,x25582)+E(f204(x25583,x25584,x25585,x25581,x25586),f204(x25583,x25584,x25585,x25582,x25586)) % 192.26/192.35 [2559]~E(x25591,x25592)+E(f204(x25593,x25594,x25595,x25596,x25591),f204(x25593,x25594,x25595,x25596,x25592)) % 192.26/192.35 [2560]~E(x25601,x25602)+E(f651(x25601,x25603,x25604,x25605),f651(x25602,x25603,x25604,x25605)) % 192.26/192.35 [2561]~E(x25611,x25612)+E(f651(x25613,x25611,x25614,x25615),f651(x25613,x25612,x25614,x25615)) % 192.26/192.35 [2562]~E(x25621,x25622)+E(f651(x25623,x25624,x25621,x25625),f651(x25623,x25624,x25622,x25625)) % 192.26/192.35 [2563]~E(x25631,x25632)+E(f651(x25633,x25634,x25635,x25631),f651(x25633,x25634,x25635,x25632)) % 192.26/192.35 [2564]~E(x25641,x25642)+E(f343(x25641,x25643),f343(x25642,x25643)) % 192.26/192.35 [2565]~E(x25651,x25652)+E(f343(x25653,x25651),f343(x25653,x25652)) % 192.26/192.35 [2566]~E(x25661,x25662)+E(f437(x25661,x25663,x25664),f437(x25662,x25663,x25664)) % 192.26/192.35 [2567]~E(x25671,x25672)+E(f437(x25673,x25671,x25674),f437(x25673,x25672,x25674)) % 192.26/192.35 [2568]~E(x25681,x25682)+E(f437(x25683,x25684,x25681),f437(x25683,x25684,x25682)) % 192.26/192.35 [2569]~E(x25691,x25692)+E(f826(x25691,x25693,x25694),f826(x25692,x25693,x25694)) % 192.26/192.35 [2570]~E(x25701,x25702)+E(f826(x25703,x25701,x25704),f826(x25703,x25702,x25704)) % 192.26/192.35 [2571]~E(x25711,x25712)+E(f826(x25713,x25714,x25711),f826(x25713,x25714,x25712)) % 192.26/192.35 [2572]~E(x25721,x25722)+E(f576(x25721,x25723),f576(x25722,x25723)) % 192.26/192.35 [2573]~E(x25731,x25732)+E(f576(x25733,x25731),f576(x25733,x25732)) % 192.26/192.35 [2574]~E(x25741,x25742)+E(f475(x25741),f475(x25742)) % 192.26/192.35 [2575]~E(x25751,x25752)+E(f619(x25751),f619(x25752)) % 192.26/192.35 [2576]~E(x25761,x25762)+E(f711(x25761,x25763,x25764),f711(x25762,x25763,x25764)) % 192.26/192.35 [2577]~E(x25771,x25772)+E(f711(x25773,x25771,x25774),f711(x25773,x25772,x25774)) % 192.26/192.35 [2578]~E(x25781,x25782)+E(f711(x25783,x25784,x25781),f711(x25783,x25784,x25782)) % 192.26/192.35 [2579]~E(x25791,x25792)+E(f442(x25791,x25793),f442(x25792,x25793)) % 192.26/192.35 [2580]~E(x25801,x25802)+E(f442(x25803,x25801),f442(x25803,x25802)) % 192.26/192.35 [2581]~E(x25811,x25812)+E(f631(x25811,x25813,x25814,x25815,x25816,x25817,x25818,x25819),f631(x25812,x25813,x25814,x25815,x25816,x25817,x25818,x25819)) % 192.26/192.35 [2582]~E(x25821,x25822)+E(f631(x25823,x25821,x25824,x25825,x25826,x25827,x25828,x25829),f631(x25823,x25822,x25824,x25825,x25826,x25827,x25828,x25829)) % 192.26/192.35 [2583]~E(x25831,x25832)+E(f631(x25833,x25834,x25831,x25835,x25836,x25837,x25838,x25839),f631(x25833,x25834,x25832,x25835,x25836,x25837,x25838,x25839)) % 192.26/192.35 [2584]~E(x25841,x25842)+E(f631(x25843,x25844,x25845,x25841,x25846,x25847,x25848,x25849),f631(x25843,x25844,x25845,x25842,x25846,x25847,x25848,x25849)) % 192.26/192.35 [2585]~E(x25851,x25852)+E(f631(x25853,x25854,x25855,x25856,x25851,x25857,x25858,x25859),f631(x25853,x25854,x25855,x25856,x25852,x25857,x25858,x25859)) % 192.26/192.35 [2586]~E(x25861,x25862)+E(f631(x25863,x25864,x25865,x25866,x25867,x25861,x25868,x25869),f631(x25863,x25864,x25865,x25866,x25867,x25862,x25868,x25869)) % 192.26/192.35 [2587]~E(x25871,x25872)+E(f631(x25873,x25874,x25875,x25876,x25877,x25878,x25871,x25879),f631(x25873,x25874,x25875,x25876,x25877,x25878,x25872,x25879)) % 192.26/192.35 [2588]~E(x25881,x25882)+E(f631(x25883,x25884,x25885,x25886,x25887,x25888,x25889,x25881),f631(x25883,x25884,x25885,x25886,x25887,x25888,x25889,x25882)) % 192.26/192.35 [2589]~E(x25891,x25892)+E(f402(x25891,x25893),f402(x25892,x25893)) % 192.26/192.35 [2590]~E(x25901,x25902)+E(f402(x25903,x25901),f402(x25903,x25902)) % 192.26/192.35 [2591]~E(x25911,x25912)+E(f774(x25911,x25913,x25914,x25915,x25916),f774(x25912,x25913,x25914,x25915,x25916)) % 192.26/192.35 [2592]~E(x25921,x25922)+E(f774(x25923,x25921,x25924,x25925,x25926),f774(x25923,x25922,x25924,x25925,x25926)) % 192.26/192.35 [2593]~E(x25931,x25932)+E(f774(x25933,x25934,x25931,x25935,x25936),f774(x25933,x25934,x25932,x25935,x25936)) % 192.26/192.35 [2594]~E(x25941,x25942)+E(f774(x25943,x25944,x25945,x25941,x25946),f774(x25943,x25944,x25945,x25942,x25946)) % 192.26/192.35 [2595]~E(x25951,x25952)+E(f774(x25953,x25954,x25955,x25956,x25951),f774(x25953,x25954,x25955,x25956,x25952)) % 192.26/192.35 [2596]~E(x25961,x25962)+E(f504(x25961,x25963,x25964),f504(x25962,x25963,x25964)) % 192.26/192.35 [2597]~E(x25971,x25972)+E(f504(x25973,x25971,x25974),f504(x25973,x25972,x25974)) % 192.26/192.35 [2598]~E(x25981,x25982)+E(f504(x25983,x25984,x25981),f504(x25983,x25984,x25982)) % 192.26/192.35 [2599]~E(x25991,x25992)+E(f851(x25991,x25993,x25994),f851(x25992,x25993,x25994)) % 192.26/192.35 [2600]~E(x26001,x26002)+E(f851(x26003,x26001,x26004),f851(x26003,x26002,x26004)) % 192.26/192.35 [2601]~E(x26011,x26012)+E(f851(x26013,x26014,x26011),f851(x26013,x26014,x26012)) % 192.26/192.35 [2602]~E(x26021,x26022)+E(f444(x26021,x26023,x26024),f444(x26022,x26023,x26024)) % 192.26/192.35 [2603]~E(x26031,x26032)+E(f444(x26033,x26031,x26034),f444(x26033,x26032,x26034)) % 192.26/192.35 [2604]~E(x26041,x26042)+E(f444(x26043,x26044,x26041),f444(x26043,x26044,x26042)) % 192.26/192.35 [2605]~E(x26051,x26052)+E(f241(x26051,x26053,x26054,x26055),f241(x26052,x26053,x26054,x26055)) % 192.26/192.35 [2606]~E(x26061,x26062)+E(f241(x26063,x26061,x26064,x26065),f241(x26063,x26062,x26064,x26065)) % 192.26/192.35 [2607]~E(x26071,x26072)+E(f241(x26073,x26074,x26071,x26075),f241(x26073,x26074,x26072,x26075)) % 192.26/192.35 [2608]~E(x26081,x26082)+E(f241(x26083,x26084,x26085,x26081),f241(x26083,x26084,x26085,x26082)) % 192.26/192.35 [2609]~E(x26091,x26092)+E(f396(x26091,x26093,x26094),f396(x26092,x26093,x26094)) % 192.26/192.35 [2610]~E(x26101,x26102)+E(f396(x26103,x26101,x26104),f396(x26103,x26102,x26104)) % 192.26/192.35 [2611]~E(x26111,x26112)+E(f396(x26113,x26114,x26111),f396(x26113,x26114,x26112)) % 192.26/192.35 [2612]~E(x26121,x26122)+E(f312(x26121,x26123,x26124,x26125),f312(x26122,x26123,x26124,x26125)) % 192.26/192.35 [2613]~E(x26131,x26132)+E(f312(x26133,x26131,x26134,x26135),f312(x26133,x26132,x26134,x26135)) % 192.26/192.35 [2614]~E(x26141,x26142)+E(f312(x26143,x26144,x26141,x26145),f312(x26143,x26144,x26142,x26145)) % 192.26/192.35 [2615]~E(x26151,x26152)+E(f312(x26153,x26154,x26155,x26151),f312(x26153,x26154,x26155,x26152)) % 192.26/192.35 [2616]~E(x26161,x26162)+E(f524(x26161,x26163),f524(x26162,x26163)) % 192.26/192.35 [2617]~E(x26171,x26172)+E(f524(x26173,x26171),f524(x26173,x26172)) % 192.26/192.35 [2618]~E(x26181,x26182)+E(f302(x26181,x26183,x26184),f302(x26182,x26183,x26184)) % 192.26/192.35 [2619]~E(x26191,x26192)+E(f302(x26193,x26191,x26194),f302(x26193,x26192,x26194)) % 192.26/192.35 [2620]~E(x26201,x26202)+E(f302(x26203,x26204,x26201),f302(x26203,x26204,x26202)) % 192.26/192.35 [2621]~E(x26211,x26212)+E(f376(x26211,x26213,x26214,x26215,x26216),f376(x26212,x26213,x26214,x26215,x26216)) % 192.26/192.35 [2622]~E(x26221,x26222)+E(f376(x26223,x26221,x26224,x26225,x26226),f376(x26223,x26222,x26224,x26225,x26226)) % 192.26/192.35 [2623]~E(x26231,x26232)+E(f376(x26233,x26234,x26231,x26235,x26236),f376(x26233,x26234,x26232,x26235,x26236)) % 192.26/192.35 [2624]~E(x26241,x26242)+E(f376(x26243,x26244,x26245,x26241,x26246),f376(x26243,x26244,x26245,x26242,x26246)) % 192.26/192.35 [2625]~E(x26251,x26252)+E(f376(x26253,x26254,x26255,x26256,x26251),f376(x26253,x26254,x26255,x26256,x26252)) % 192.26/192.35 [2626]~E(x26261,x26262)+E(f556(x26261,x26263,x26264),f556(x26262,x26263,x26264)) % 192.26/192.35 [2627]~E(x26271,x26272)+E(f556(x26273,x26271,x26274),f556(x26273,x26272,x26274)) % 192.26/192.35 [2628]~E(x26281,x26282)+E(f556(x26283,x26284,x26281),f556(x26283,x26284,x26282)) % 192.26/192.35 [2629]~E(x26291,x26292)+E(f713(x26291,x26293,x26294),f713(x26292,x26293,x26294)) % 192.26/192.35 [2630]~E(x26301,x26302)+E(f713(x26303,x26301,x26304),f713(x26303,x26302,x26304)) % 192.26/192.35 [2631]~E(x26311,x26312)+E(f713(x26313,x26314,x26311),f713(x26313,x26314,x26312)) % 192.26/192.35 [2632]~E(x26321,x26322)+E(f727(x26321,x26323,x26324,x26325),f727(x26322,x26323,x26324,x26325)) % 192.26/192.35 [2633]~E(x26331,x26332)+E(f727(x26333,x26331,x26334,x26335),f727(x26333,x26332,x26334,x26335)) % 192.26/192.35 [2634]~E(x26341,x26342)+E(f727(x26343,x26344,x26341,x26345),f727(x26343,x26344,x26342,x26345)) % 192.26/192.35 [2635]~E(x26351,x26352)+E(f727(x26353,x26354,x26355,x26351),f727(x26353,x26354,x26355,x26352)) % 192.26/192.35 [2636]~E(x26361,x26362)+E(f480(x26361,x26363),f480(x26362,x26363)) % 192.26/192.35 [2637]~E(x26371,x26372)+E(f480(x26373,x26371),f480(x26373,x26372)) % 192.26/192.35 [2638]~E(x26381,x26382)+E(f654(x26381,x26383,x26384,x26385,x26386),f654(x26382,x26383,x26384,x26385,x26386)) % 192.26/192.35 [2639]~E(x26391,x26392)+E(f654(x26393,x26391,x26394,x26395,x26396),f654(x26393,x26392,x26394,x26395,x26396)) % 192.26/192.35 [2640]~E(x26401,x26402)+E(f654(x26403,x26404,x26401,x26405,x26406),f654(x26403,x26404,x26402,x26405,x26406)) % 192.26/192.35 [2641]~E(x26411,x26412)+E(f654(x26413,x26414,x26415,x26411,x26416),f654(x26413,x26414,x26415,x26412,x26416)) % 192.26/192.35 [2642]~E(x26421,x26422)+E(f654(x26423,x26424,x26425,x26426,x26421),f654(x26423,x26424,x26425,x26426,x26422)) % 192.26/192.35 [2643]~E(x26431,x26432)+E(f373(x26431),f373(x26432)) % 192.26/192.35 [2644]~E(x26441,x26442)+E(f827(x26441,x26443,x26444),f827(x26442,x26443,x26444)) % 192.26/192.35 [2645]~E(x26451,x26452)+E(f827(x26453,x26451,x26454),f827(x26453,x26452,x26454)) % 192.26/192.35 [2646]~E(x26461,x26462)+E(f827(x26463,x26464,x26461),f827(x26463,x26464,x26462)) % 192.26/192.35 [2647]~E(x26471,x26472)+E(f460(x26471,x26473),f460(x26472,x26473)) % 192.26/192.35 [2648]~E(x26481,x26482)+E(f460(x26483,x26481),f460(x26483,x26482)) % 192.26/192.35 [2649]~E(x26491,x26492)+E(f712(x26491,x26493,x26494),f712(x26492,x26493,x26494)) % 192.26/192.35 [2650]~E(x26501,x26502)+E(f712(x26503,x26501,x26504),f712(x26503,x26502,x26504)) % 192.26/192.35 [2651]~E(x26511,x26512)+E(f712(x26513,x26514,x26511),f712(x26513,x26514,x26512)) % 192.26/192.35 [2652]~E(x26521,x26522)+E(f466(x26521,x26523),f466(x26522,x26523)) % 192.26/192.35 [2653]~E(x26531,x26532)+E(f466(x26533,x26531),f466(x26533,x26532)) % 192.26/192.35 [2654]~E(x26541,x26542)+E(f546(x26541,x26543,x26544,x26545,x26546,x26547),f546(x26542,x26543,x26544,x26545,x26546,x26547)) % 192.26/192.35 [2655]~E(x26551,x26552)+E(f546(x26553,x26551,x26554,x26555,x26556,x26557),f546(x26553,x26552,x26554,x26555,x26556,x26557)) % 192.26/192.35 [2656]~E(x26561,x26562)+E(f546(x26563,x26564,x26561,x26565,x26566,x26567),f546(x26563,x26564,x26562,x26565,x26566,x26567)) % 192.26/192.35 [2657]~E(x26571,x26572)+E(f546(x26573,x26574,x26575,x26571,x26576,x26577),f546(x26573,x26574,x26575,x26572,x26576,x26577)) % 192.26/192.35 [2658]~E(x26581,x26582)+E(f546(x26583,x26584,x26585,x26586,x26581,x26587),f546(x26583,x26584,x26585,x26586,x26582,x26587)) % 192.26/192.35 [2659]~E(x26591,x26592)+E(f546(x26593,x26594,x26595,x26596,x26597,x26591),f546(x26593,x26594,x26595,x26596,x26597,x26592)) % 192.26/192.35 [2660]~E(x26601,x26602)+E(f809(x26601,x26603),f809(x26602,x26603)) % 192.26/192.35 [2661]~E(x26611,x26612)+E(f809(x26613,x26611),f809(x26613,x26612)) % 192.26/192.35 [2662]~E(x26621,x26622)+E(f281(x26621,x26623,x26624),f281(x26622,x26623,x26624)) % 192.26/192.35 [2663]~E(x26631,x26632)+E(f281(x26633,x26631,x26634),f281(x26633,x26632,x26634)) % 192.26/192.35 [2664]~E(x26641,x26642)+E(f281(x26643,x26644,x26641),f281(x26643,x26644,x26642)) % 192.26/192.35 [2665]~E(x26651,x26652)+E(f465(x26651,x26653),f465(x26652,x26653)) % 192.26/192.35 [2666]~E(x26661,x26662)+E(f465(x26663,x26661),f465(x26663,x26662)) % 192.26/192.35 [2667]~E(x26671,x26672)+E(f461(x26671,x26673),f461(x26672,x26673)) % 192.26/192.35 [2668]~E(x26681,x26682)+E(f461(x26683,x26681),f461(x26683,x26682)) % 192.26/192.35 [2669]~E(x26691,x26692)+E(f290(x26691,x26693,x26694),f290(x26692,x26693,x26694)) % 192.26/192.35 [2670]~E(x26701,x26702)+E(f290(x26703,x26701,x26704),f290(x26703,x26702,x26704)) % 192.26/192.35 [2671]~E(x26711,x26712)+E(f290(x26713,x26714,x26711),f290(x26713,x26714,x26712)) % 192.26/192.35 [2672]~E(x26721,x26722)+E(f755(x26721,x26723,x26724,x26725,x26726),f755(x26722,x26723,x26724,x26725,x26726)) % 192.26/192.35 [2673]~E(x26731,x26732)+E(f755(x26733,x26731,x26734,x26735,x26736),f755(x26733,x26732,x26734,x26735,x26736)) % 192.26/192.35 [2674]~E(x26741,x26742)+E(f755(x26743,x26744,x26741,x26745,x26746),f755(x26743,x26744,x26742,x26745,x26746)) % 192.26/192.35 [2675]~E(x26751,x26752)+E(f755(x26753,x26754,x26755,x26751,x26756),f755(x26753,x26754,x26755,x26752,x26756)) % 192.26/192.35 [2676]~E(x26761,x26762)+E(f755(x26763,x26764,x26765,x26766,x26761),f755(x26763,x26764,x26765,x26766,x26762)) % 192.26/192.35 [2677]~E(x26771,x26772)+E(f735(x26771,x26773,x26774,x26775),f735(x26772,x26773,x26774,x26775)) % 192.26/192.35 [2678]~E(x26781,x26782)+E(f735(x26783,x26781,x26784,x26785),f735(x26783,x26782,x26784,x26785)) % 192.26/192.35 [2679]~E(x26791,x26792)+E(f735(x26793,x26794,x26791,x26795),f735(x26793,x26794,x26792,x26795)) % 192.26/192.35 [2680]~E(x26801,x26802)+E(f735(x26803,x26804,x26805,x26801),f735(x26803,x26804,x26805,x26802)) % 192.26/192.35 [2681]~E(x26811,x26812)+E(f260(x26811,x26813,x26814),f260(x26812,x26813,x26814)) % 192.26/192.35 [2682]~E(x26821,x26822)+E(f260(x26823,x26821,x26824),f260(x26823,x26822,x26824)) % 192.26/192.35 [2683]~E(x26831,x26832)+E(f260(x26833,x26834,x26831),f260(x26833,x26834,x26832)) % 192.26/192.35 [2684]~E(x26841,x26842)+E(f708(x26841,x26843),f708(x26842,x26843)) % 192.26/192.35 [2685]~E(x26851,x26852)+E(f708(x26853,x26851),f708(x26853,x26852)) % 192.26/192.35 [2686]~E(x26861,x26862)+E(f590(x26861,x26863,x26864),f590(x26862,x26863,x26864)) % 192.26/192.35 [2687]~E(x26871,x26872)+E(f590(x26873,x26871,x26874),f590(x26873,x26872,x26874)) % 192.26/192.35 [2688]~E(x26881,x26882)+E(f590(x26883,x26884,x26881),f590(x26883,x26884,x26882)) % 192.26/192.35 [2689]~E(x26891,x26892)+E(f833(x26891,x26893,x26894,x26895),f833(x26892,x26893,x26894,x26895)) % 192.26/192.35 [2690]~E(x26901,x26902)+E(f833(x26903,x26901,x26904,x26905),f833(x26903,x26902,x26904,x26905)) % 192.26/192.35 [2691]~E(x26911,x26912)+E(f833(x26913,x26914,x26911,x26915),f833(x26913,x26914,x26912,x26915)) % 192.26/192.35 [2692]~E(x26921,x26922)+E(f833(x26923,x26924,x26925,x26921),f833(x26923,x26924,x26925,x26922)) % 192.26/192.35 [2693]~E(x26931,x26932)+E(f194(x26931,x26933),f194(x26932,x26933)) % 192.26/192.35 [2694]~E(x26941,x26942)+E(f194(x26943,x26941),f194(x26943,x26942)) % 192.26/192.35 [2695]~E(x26951,x26952)+E(f733(x26951,x26953,x26954,x26955),f733(x26952,x26953,x26954,x26955)) % 192.26/192.35 [2696]~E(x26961,x26962)+E(f733(x26963,x26961,x26964,x26965),f733(x26963,x26962,x26964,x26965)) % 192.26/192.35 [2697]~E(x26971,x26972)+E(f733(x26973,x26974,x26971,x26975),f733(x26973,x26974,x26972,x26975)) % 192.26/192.35 [2698]~E(x26981,x26982)+E(f733(x26983,x26984,x26985,x26981),f733(x26983,x26984,x26985,x26982)) % 192.26/192.35 [2699]~E(x26991,x26992)+E(f574(x26991,x26993,x26994,x26995),f574(x26992,x26993,x26994,x26995)) % 192.26/192.35 [2700]~E(x27001,x27002)+E(f574(x27003,x27001,x27004,x27005),f574(x27003,x27002,x27004,x27005)) % 192.26/192.35 [2701]~E(x27011,x27012)+E(f574(x27013,x27014,x27011,x27015),f574(x27013,x27014,x27012,x27015)) % 192.26/192.35 [2702]~E(x27021,x27022)+E(f574(x27023,x27024,x27025,x27021),f574(x27023,x27024,x27025,x27022)) % 192.26/192.35 [2703]~E(x27031,x27032)+E(f349(x27031,x27033,x27034),f349(x27032,x27033,x27034)) % 192.26/192.35 [2704]~E(x27041,x27042)+E(f349(x27043,x27041,x27044),f349(x27043,x27042,x27044)) % 192.26/192.35 [2705]~E(x27051,x27052)+E(f349(x27053,x27054,x27051),f349(x27053,x27054,x27052)) % 192.26/192.35 [2706]~E(x27061,x27062)+E(f836(x27061,x27063,x27064,x27065),f836(x27062,x27063,x27064,x27065)) % 192.26/192.35 [2707]~E(x27071,x27072)+E(f836(x27073,x27071,x27074,x27075),f836(x27073,x27072,x27074,x27075)) % 192.26/192.35 [2708]~E(x27081,x27082)+E(f836(x27083,x27084,x27081,x27085),f836(x27083,x27084,x27082,x27085)) % 192.26/192.35 [2709]~E(x27091,x27092)+E(f836(x27093,x27094,x27095,x27091),f836(x27093,x27094,x27095,x27092)) % 192.26/192.35 [2710]~E(x27101,x27102)+E(f702(x27101,x27103,x27104),f702(x27102,x27103,x27104)) % 192.26/192.35 [2711]~E(x27111,x27112)+E(f702(x27113,x27111,x27114),f702(x27113,x27112,x27114)) % 192.26/192.35 [2712]~E(x27121,x27122)+E(f702(x27123,x27124,x27121),f702(x27123,x27124,x27122)) % 192.26/192.35 [2713]~E(x27131,x27132)+E(f526(x27131),f526(x27132)) % 192.26/192.35 [2714]~E(x27141,x27142)+E(f96(x27141),f96(x27142)) % 192.26/192.35 [2715]~E(x27151,x27152)+E(f859(x27151,x27153,x27154,x27155,x27156),f859(x27152,x27153,x27154,x27155,x27156)) % 192.26/192.35 [2716]~E(x27161,x27162)+E(f859(x27163,x27161,x27164,x27165,x27166),f859(x27163,x27162,x27164,x27165,x27166)) % 192.26/192.35 [2717]~E(x27171,x27172)+E(f859(x27173,x27174,x27171,x27175,x27176),f859(x27173,x27174,x27172,x27175,x27176)) % 192.26/192.35 [2718]~E(x27181,x27182)+E(f859(x27183,x27184,x27185,x27181,x27186),f859(x27183,x27184,x27185,x27182,x27186)) % 192.26/192.35 [2719]~E(x27191,x27192)+E(f859(x27193,x27194,x27195,x27196,x27191),f859(x27193,x27194,x27195,x27196,x27192)) % 192.26/192.35 [2720]~E(x27201,x27202)+E(f329(x27201,x27203,x27204,x27205),f329(x27202,x27203,x27204,x27205)) % 192.26/192.35 [2721]~E(x27211,x27212)+E(f329(x27213,x27211,x27214,x27215),f329(x27213,x27212,x27214,x27215)) % 192.26/192.35 [2722]~E(x27221,x27222)+E(f329(x27223,x27224,x27221,x27225),f329(x27223,x27224,x27222,x27225)) % 192.26/192.35 [2723]~E(x27231,x27232)+E(f329(x27233,x27234,x27235,x27231),f329(x27233,x27234,x27235,x27232)) % 192.26/192.35 [2724]~E(x27241,x27242)+E(f647(x27241,x27243,x27244),f647(x27242,x27243,x27244)) % 192.26/192.35 [2725]~E(x27251,x27252)+E(f647(x27253,x27251,x27254),f647(x27253,x27252,x27254)) % 192.26/192.35 [2726]~E(x27261,x27262)+E(f647(x27263,x27264,x27261),f647(x27263,x27264,x27262)) % 192.26/192.35 [2727]~E(x27271,x27272)+E(f606(x27271),f606(x27272)) % 192.26/192.35 [2728]~E(x27281,x27282)+E(f739(x27281,x27283),f739(x27282,x27283)) % 192.26/192.35 [2729]~E(x27291,x27292)+E(f739(x27293,x27291),f739(x27293,x27292)) % 192.26/192.35 [2730]~E(x27301,x27302)+E(f508(x27301,x27303,x27304,x27305),f508(x27302,x27303,x27304,x27305)) % 192.26/192.35 [2731]~E(x27311,x27312)+E(f508(x27313,x27311,x27314,x27315),f508(x27313,x27312,x27314,x27315)) % 192.26/192.35 [2732]~E(x27321,x27322)+E(f508(x27323,x27324,x27321,x27325),f508(x27323,x27324,x27322,x27325)) % 192.26/192.35 [2733]~E(x27331,x27332)+E(f508(x27333,x27334,x27335,x27331),f508(x27333,x27334,x27335,x27332)) % 192.26/192.35 [2734]~E(x27341,x27342)+E(f746(x27341,x27343,x27344),f746(x27342,x27343,x27344)) % 192.26/192.35 [2735]~E(x27351,x27352)+E(f746(x27353,x27351,x27354),f746(x27353,x27352,x27354)) % 192.26/192.35 [2736]~E(x27361,x27362)+E(f746(x27363,x27364,x27361),f746(x27363,x27364,x27362)) % 192.26/192.35 [2737]~E(x27371,x27372)+E(f716(x27371,x27373,x27374,x27375,x27376),f716(x27372,x27373,x27374,x27375,x27376)) % 192.26/192.35 [2738]~E(x27381,x27382)+E(f716(x27383,x27381,x27384,x27385,x27386),f716(x27383,x27382,x27384,x27385,x27386)) % 192.26/192.35 [2739]~E(x27391,x27392)+E(f716(x27393,x27394,x27391,x27395,x27396),f716(x27393,x27394,x27392,x27395,x27396)) % 192.26/192.35 [2740]~E(x27401,x27402)+E(f716(x27403,x27404,x27405,x27401,x27406),f716(x27403,x27404,x27405,x27402,x27406)) % 192.26/192.35 [2741]~E(x27411,x27412)+E(f716(x27413,x27414,x27415,x27416,x27411),f716(x27413,x27414,x27415,x27416,x27412)) % 192.26/192.35 [2742]~E(x27421,x27422)+E(f202(x27421,x27423,x27424),f202(x27422,x27423,x27424)) % 192.26/192.35 [2743]~E(x27431,x27432)+E(f202(x27433,x27431,x27434),f202(x27433,x27432,x27434)) % 192.26/192.35 [2744]~E(x27441,x27442)+E(f202(x27443,x27444,x27441),f202(x27443,x27444,x27442)) % 192.26/192.35 [2745]~E(x27451,x27452)+E(f457(x27451),f457(x27452)) % 192.26/192.35 [2746]~E(x27461,x27462)+E(f679(x27461,x27463,x27464),f679(x27462,x27463,x27464)) % 192.26/192.35 [2747]~E(x27471,x27472)+E(f679(x27473,x27471,x27474),f679(x27473,x27472,x27474)) % 192.26/192.35 [2748]~E(x27481,x27482)+E(f679(x27483,x27484,x27481),f679(x27483,x27484,x27482)) % 192.26/192.35 [2749]~E(x27491,x27492)+E(f571(x27491,x27493,x27494),f571(x27492,x27493,x27494)) % 192.26/192.35 [2750]~E(x27501,x27502)+E(f571(x27503,x27501,x27504),f571(x27503,x27502,x27504)) % 192.26/192.35 [2751]~E(x27511,x27512)+E(f571(x27513,x27514,x27511),f571(x27513,x27514,x27512)) % 192.26/192.35 [2752]~E(x27521,x27522)+E(f745(x27521,x27523),f745(x27522,x27523)) % 192.26/192.35 [2753]~E(x27531,x27532)+E(f745(x27533,x27531),f745(x27533,x27532)) % 192.26/192.35 [2754]~E(x27541,x27542)+E(f579(x27541,x27543,x27544),f579(x27542,x27543,x27544)) % 192.26/192.35 [2755]~E(x27551,x27552)+E(f579(x27553,x27551,x27554),f579(x27553,x27552,x27554)) % 192.26/192.35 [2756]~E(x27561,x27562)+E(f579(x27563,x27564,x27561),f579(x27563,x27564,x27562)) % 192.26/192.35 [2757]~E(x27571,x27572)+E(f313(x27571,x27573,x27574,x27575,x27576,x27577),f313(x27572,x27573,x27574,x27575,x27576,x27577)) % 192.26/192.35 [2758]~E(x27581,x27582)+E(f313(x27583,x27581,x27584,x27585,x27586,x27587),f313(x27583,x27582,x27584,x27585,x27586,x27587)) % 192.26/192.35 [2759]~E(x27591,x27592)+E(f313(x27593,x27594,x27591,x27595,x27596,x27597),f313(x27593,x27594,x27592,x27595,x27596,x27597)) % 192.26/192.35 [2760]~E(x27601,x27602)+E(f313(x27603,x27604,x27605,x27601,x27606,x27607),f313(x27603,x27604,x27605,x27602,x27606,x27607)) % 192.26/192.35 [2761]~E(x27611,x27612)+E(f313(x27613,x27614,x27615,x27616,x27611,x27617),f313(x27613,x27614,x27615,x27616,x27612,x27617)) % 192.26/192.35 [2762]~E(x27621,x27622)+E(f313(x27623,x27624,x27625,x27626,x27627,x27621),f313(x27623,x27624,x27625,x27626,x27627,x27622)) % 192.26/192.35 [2763]~E(x27631,x27632)+E(f476(x27631),f476(x27632)) % 192.26/192.35 [2764]~E(x27641,x27642)+E(f301(x27641),f301(x27642)) % 192.26/192.35 [2765]~E(x27651,x27652)+E(f878(x27651),f878(x27652)) % 192.26/192.35 [2766]~E(x27661,x27662)+E(f303(x27661,x27663,x27664),f303(x27662,x27663,x27664)) % 192.26/192.35 [2767]~E(x27671,x27672)+E(f303(x27673,x27671,x27674),f303(x27673,x27672,x27674)) % 192.26/192.35 [2768]~E(x27681,x27682)+E(f303(x27683,x27684,x27681),f303(x27683,x27684,x27682)) % 192.26/192.35 [2769]~E(x27691,x27692)+E(f766(x27691,x27693,x27694),f766(x27692,x27693,x27694)) % 192.26/192.35 [2770]~E(x27701,x27702)+E(f766(x27703,x27701,x27704),f766(x27703,x27702,x27704)) % 192.26/192.35 [2771]~E(x27711,x27712)+E(f766(x27713,x27714,x27711),f766(x27713,x27714,x27712)) % 192.26/192.35 [2772]~E(x27721,x27722)+E(f424(x27721,x27723,x27724),f424(x27722,x27723,x27724)) % 192.26/192.35 [2773]~E(x27731,x27732)+E(f424(x27733,x27731,x27734),f424(x27733,x27732,x27734)) % 192.26/192.35 [2774]~E(x27741,x27742)+E(f424(x27743,x27744,x27741),f424(x27743,x27744,x27742)) % 192.26/192.35 [2775]~E(x27751,x27752)+E(f220(x27751,x27753,x27754,x27755,x27756,x27757),f220(x27752,x27753,x27754,x27755,x27756,x27757)) % 192.26/192.35 [2776]~E(x27761,x27762)+E(f220(x27763,x27761,x27764,x27765,x27766,x27767),f220(x27763,x27762,x27764,x27765,x27766,x27767)) % 192.26/192.35 [2777]~E(x27771,x27772)+E(f220(x27773,x27774,x27771,x27775,x27776,x27777),f220(x27773,x27774,x27772,x27775,x27776,x27777)) % 192.26/192.35 [2778]~E(x27781,x27782)+E(f220(x27783,x27784,x27785,x27781,x27786,x27787),f220(x27783,x27784,x27785,x27782,x27786,x27787)) % 192.26/192.35 [2779]~E(x27791,x27792)+E(f220(x27793,x27794,x27795,x27796,x27791,x27797),f220(x27793,x27794,x27795,x27796,x27792,x27797)) % 192.26/192.35 [2780]~E(x27801,x27802)+E(f220(x27803,x27804,x27805,x27806,x27807,x27801),f220(x27803,x27804,x27805,x27806,x27807,x27802)) % 192.26/192.35 [2781]~P1(x27811)+P1(x27812)+~E(x27811,x27812) % 192.26/192.35 [2782]~P2(x27821)+P2(x27822)+~E(x27821,x27822) % 192.26/192.35 [2783]~P6(x27831)+P6(x27832)+~E(x27831,x27832) % 192.26/192.35 [2784]~P104(x27841)+P104(x27842)+~E(x27841,x27842) % 192.26/192.35 [2785]~P3(x27851)+P3(x27852)+~E(x27851,x27852) % 192.26/192.35 [2786]~P114(x27861)+P114(x27862)+~E(x27861,x27862) % 192.26/192.35 [2787]~P81(x27871)+P81(x27872)+~E(x27871,x27872) % 192.26/192.35 [2788]~P98(x27881)+P98(x27882)+~E(x27881,x27882) % 192.26/192.35 [2789]~P130(x27891)+P130(x27892)+~E(x27891,x27892) % 192.26/192.35 [2790]~P118(x27901)+P118(x27902)+~E(x27901,x27902) % 192.26/192.35 [2791]~P145(x27911)+P145(x27912)+~E(x27911,x27912) % 192.26/192.35 [2792]~P109(x27921)+P109(x27922)+~E(x27921,x27922) % 192.26/192.35 [2793]~P91(x27931)+P91(x27932)+~E(x27931,x27932) % 192.26/192.35 [2794]~P116(x27941)+P116(x27942)+~E(x27941,x27942) % 192.26/192.35 [2795]P152(x27952,x27953,x27954)+~E(x27951,x27952)+~P152(x27951,x27953,x27954) % 192.26/192.35 [2796]P152(x27963,x27962,x27964)+~E(x27961,x27962)+~P152(x27963,x27961,x27964) % 192.26/192.35 [2797]P152(x27973,x27974,x27972)+~E(x27971,x27972)+~P152(x27973,x27974,x27971) % 192.26/192.35 [2798]~P119(x27981)+P119(x27982)+~E(x27981,x27982) % 192.26/192.35 [2799]~P131(x27991)+P131(x27992)+~E(x27991,x27992) % 192.26/192.35 [2800]~P112(x28001)+P112(x28002)+~E(x28001,x28002) % 192.26/192.35 [2801]P58(x28012,x28013,x28014)+~E(x28011,x28012)+~P58(x28011,x28013,x28014) % 192.26/192.35 [2802]P58(x28023,x28022,x28024)+~E(x28021,x28022)+~P58(x28023,x28021,x28024) % 192.26/192.35 [2803]P58(x28033,x28034,x28032)+~E(x28031,x28032)+~P58(x28033,x28034,x28031) % 192.26/192.35 [2804]P12(x28042,x28043)+~E(x28041,x28042)+~P12(x28041,x28043) % 192.26/192.35 [2805]P12(x28053,x28052)+~E(x28051,x28052)+~P12(x28053,x28051) % 192.26/192.35 [2806]P23(x28062,x28063,x28064)+~E(x28061,x28062)+~P23(x28061,x28063,x28064) % 192.26/192.35 [2807]P23(x28073,x28072,x28074)+~E(x28071,x28072)+~P23(x28073,x28071,x28074) % 192.26/192.35 [2808]P23(x28083,x28084,x28082)+~E(x28081,x28082)+~P23(x28083,x28084,x28081) % 192.26/192.35 [2809]~P117(x28091)+P117(x28092)+~E(x28091,x28092) % 192.26/192.35 [2810]~P113(x28101)+P113(x28102)+~E(x28101,x28102) % 192.26/192.35 [2811]P24(x28112,x28113,x28114,x28115)+~E(x28111,x28112)+~P24(x28111,x28113,x28114,x28115) % 192.26/192.35 [2812]P24(x28123,x28122,x28124,x28125)+~E(x28121,x28122)+~P24(x28123,x28121,x28124,x28125) % 192.26/192.35 [2813]P24(x28133,x28134,x28132,x28135)+~E(x28131,x28132)+~P24(x28133,x28134,x28131,x28135) % 192.26/192.35 [2814]P24(x28143,x28144,x28145,x28142)+~E(x28141,x28142)+~P24(x28143,x28144,x28145,x28141) % 192.26/192.35 [2815]~P77(x28151)+P77(x28152)+~E(x28151,x28152) % 192.26/192.35 [2816]~P83(x28161)+P83(x28162)+~E(x28161,x28162) % 192.26/192.35 [2817]P25(x28172,x28173)+~E(x28171,x28172)+~P25(x28171,x28173) % 192.26/192.35 [2818]P25(x28183,x28182)+~E(x28181,x28182)+~P25(x28183,x28181) % 192.26/192.35 [2819]P65(x28192,x28193)+~E(x28191,x28192)+~P65(x28191,x28193) % 192.26/192.35 [2820]P65(x28203,x28202)+~E(x28201,x28202)+~P65(x28203,x28201) % 192.26/192.35 [2821]P39(x28212,x28213)+~E(x28211,x28212)+~P39(x28211,x28213) % 192.26/192.35 [2822]P39(x28223,x28222)+~E(x28221,x28222)+~P39(x28223,x28221) % 192.26/192.35 [2823]~P99(x28231)+P99(x28232)+~E(x28231,x28232) % 192.26/192.35 [2824]P153(x28242,x28243,x28244)+~E(x28241,x28242)+~P153(x28241,x28243,x28244) % 192.26/192.35 [2825]P153(x28253,x28252,x28254)+~E(x28251,x28252)+~P153(x28253,x28251,x28254) % 192.26/192.35 [2826]P153(x28263,x28264,x28262)+~E(x28261,x28262)+~P153(x28263,x28264,x28261) % 192.26/192.35 [2827]P50(x28272,x28273)+~E(x28271,x28272)+~P50(x28271,x28273) % 192.26/192.35 [2828]P50(x28283,x28282)+~E(x28281,x28282)+~P50(x28283,x28281) % 192.26/192.35 [2829]~P87(x28291)+P87(x28292)+~E(x28291,x28292) % 192.26/192.35 [2830]~P144(x28301)+P144(x28302)+~E(x28301,x28302) % 192.26/192.35 [2831]~P123(x28311)+P123(x28312)+~E(x28311,x28312) % 192.26/192.35 [2832]P17(x28322,x28323,x28324)+~E(x28321,x28322)+~P17(x28321,x28323,x28324) % 192.26/192.35 [2833]P17(x28333,x28332,x28334)+~E(x28331,x28332)+~P17(x28333,x28331,x28334) % 192.26/192.35 [2834]P17(x28343,x28344,x28342)+~E(x28341,x28342)+~P17(x28343,x28344,x28341) % 192.26/192.35 [2835]P33(x28352,x28353,x28354)+~E(x28351,x28352)+~P33(x28351,x28353,x28354) % 192.26/192.35 [2836]P33(x28363,x28362,x28364)+~E(x28361,x28362)+~P33(x28363,x28361,x28364) % 192.26/192.35 [2837]P33(x28373,x28374,x28372)+~E(x28371,x28372)+~P33(x28373,x28374,x28371) % 192.26/192.35 [2838]~P74(x28381)+P74(x28382)+~E(x28381,x28382) % 192.26/192.35 [2839]P32(x28392,x28393,x28394)+~E(x28391,x28392)+~P32(x28391,x28393,x28394) % 192.26/192.35 [2840]P32(x28403,x28402,x28404)+~E(x28401,x28402)+~P32(x28403,x28401,x28404) % 192.26/192.35 [2841]P32(x28413,x28414,x28412)+~E(x28411,x28412)+~P32(x28413,x28414,x28411) % 192.26/192.35 [2842]~P100(x28421)+P100(x28422)+~E(x28421,x28422) % 192.26/192.35 [2843]P61(x28432,x28433,x28434)+~E(x28431,x28432)+~P61(x28431,x28433,x28434) % 192.26/192.35 [2844]P61(x28443,x28442,x28444)+~E(x28441,x28442)+~P61(x28443,x28441,x28444) % 192.26/192.35 [2845]P61(x28453,x28454,x28452)+~E(x28451,x28452)+~P61(x28453,x28454,x28451) % 192.26/192.35 [2846]~P102(x28461)+P102(x28462)+~E(x28461,x28462) % 192.26/192.35 [2847]~P105(x28471)+P105(x28472)+~E(x28471,x28472) % 192.26/192.35 [2848]~P110(x28481)+P110(x28482)+~E(x28481,x28482) % 192.26/192.35 [2849]P36(x28492,x28493)+~E(x28491,x28492)+~P36(x28491,x28493) % 192.26/192.35 [2850]P36(x28503,x28502)+~E(x28501,x28502)+~P36(x28503,x28501) % 192.26/192.35 [2851]P60(x28512,x28513,x28514)+~E(x28511,x28512)+~P60(x28511,x28513,x28514) % 192.26/192.35 [2852]P60(x28523,x28522,x28524)+~E(x28521,x28522)+~P60(x28523,x28521,x28524) % 192.26/192.35 [2853]P60(x28533,x28534,x28532)+~E(x28531,x28532)+~P60(x28533,x28534,x28531) % 192.26/192.35 [2854]~P101(x28541)+P101(x28542)+~E(x28541,x28542) % 192.26/192.35 [2855]~P115(x28551)+P115(x28552)+~E(x28551,x28552) % 192.26/192.35 [2856]P9(x28562,x28563,x28564)+~E(x28561,x28562)+~P9(x28561,x28563,x28564) % 192.26/192.35 [2857]P9(x28573,x28572,x28574)+~E(x28571,x28572)+~P9(x28573,x28571,x28574) % 192.26/192.35 [2858]P9(x28583,x28584,x28582)+~E(x28581,x28582)+~P9(x28583,x28584,x28581) % 192.26/192.35 [2859]~P108(x28591)+P108(x28592)+~E(x28591,x28592) % 192.26/192.35 [2860]P43(x28602,x28603,x28604,x28605,x28606)+~E(x28601,x28602)+~P43(x28601,x28603,x28604,x28605,x28606) % 192.26/192.35 [2861]P43(x28613,x28612,x28614,x28615,x28616)+~E(x28611,x28612)+~P43(x28613,x28611,x28614,x28615,x28616) % 192.26/192.35 [2862]P43(x28623,x28624,x28622,x28625,x28626)+~E(x28621,x28622)+~P43(x28623,x28624,x28621,x28625,x28626) % 192.26/192.35 [2863]P43(x28633,x28634,x28635,x28632,x28636)+~E(x28631,x28632)+~P43(x28633,x28634,x28635,x28631,x28636) % 192.26/192.35 [2864]P43(x28643,x28644,x28645,x28646,x28642)+~E(x28641,x28642)+~P43(x28643,x28644,x28645,x28646,x28641) % 192.26/192.35 [2865]~P135(x28651)+P135(x28652)+~E(x28651,x28652) % 192.26/192.35 [2866]P34(x28662,x28663,x28664,x28665,x28666)+~E(x28661,x28662)+~P34(x28661,x28663,x28664,x28665,x28666) % 192.26/192.35 [2867]P34(x28673,x28672,x28674,x28675,x28676)+~E(x28671,x28672)+~P34(x28673,x28671,x28674,x28675,x28676) % 192.26/192.35 [2868]P34(x28683,x28684,x28682,x28685,x28686)+~E(x28681,x28682)+~P34(x28683,x28684,x28681,x28685,x28686) % 192.26/192.35 [2869]P34(x28693,x28694,x28695,x28692,x28696)+~E(x28691,x28692)+~P34(x28693,x28694,x28695,x28691,x28696) % 192.26/192.35 [2870]P34(x28703,x28704,x28705,x28706,x28702)+~E(x28701,x28702)+~P34(x28703,x28704,x28705,x28706,x28701) % 192.26/192.35 [2871]~P66(x28711)+P66(x28712)+~E(x28711,x28712) % 192.26/192.35 [2872]~P40(x28721)+P40(x28722)+~E(x28721,x28722) % 192.26/192.35 [2873]P30(x28732,x28733,x28734)+~E(x28731,x28732)+~P30(x28731,x28733,x28734) % 192.26/192.35 [2874]P30(x28743,x28742,x28744)+~E(x28741,x28742)+~P30(x28743,x28741,x28744) % 192.26/192.35 [2875]P30(x28753,x28754,x28752)+~E(x28751,x28752)+~P30(x28753,x28754,x28751) % 192.26/192.35 [2876]~P69(x28761)+P69(x28762)+~E(x28761,x28762) % 192.26/192.35 [2877]~P86(x28771)+P86(x28772)+~E(x28771,x28772) % 192.26/192.35 [2878]~P71(x28781)+P71(x28782)+~E(x28781,x28782) % 192.26/192.35 [2879]~P67(x28791)+P67(x28792)+~E(x28791,x28792) % 192.26/192.35 [2880]~P76(x28801)+P76(x28802)+~E(x28801,x28802) % 192.26/192.35 [2881]P21(x28812,x28813,x28814,x28815,x28816,x28817)+~E(x28811,x28812)+~P21(x28811,x28813,x28814,x28815,x28816,x28817) % 192.26/192.35 [2882]P21(x28823,x28822,x28824,x28825,x28826,x28827)+~E(x28821,x28822)+~P21(x28823,x28821,x28824,x28825,x28826,x28827) % 192.26/192.35 [2883]P21(x28833,x28834,x28832,x28835,x28836,x28837)+~E(x28831,x28832)+~P21(x28833,x28834,x28831,x28835,x28836,x28837) % 192.26/192.35 [2884]P21(x28843,x28844,x28845,x28842,x28846,x28847)+~E(x28841,x28842)+~P21(x28843,x28844,x28845,x28841,x28846,x28847) % 192.26/192.35 [2885]P21(x28853,x28854,x28855,x28856,x28852,x28857)+~E(x28851,x28852)+~P21(x28853,x28854,x28855,x28856,x28851,x28857) % 192.26/192.35 [2886]P21(x28863,x28864,x28865,x28866,x28867,x28862)+~E(x28861,x28862)+~P21(x28863,x28864,x28865,x28866,x28867,x28861) % 192.26/192.35 [2887]~P84(x28871)+P84(x28872)+~E(x28871,x28872) % 192.26/192.35 [2888]P37(x28882,x28883)+~E(x28881,x28882)+~P37(x28881,x28883) % 192.26/192.35 [2889]P37(x28893,x28892)+~E(x28891,x28892)+~P37(x28893,x28891) % 192.26/192.35 [2890]P46(x28902,x28903)+~E(x28901,x28902)+~P46(x28901,x28903) % 192.26/192.35 [2891]P46(x28913,x28912)+~E(x28911,x28912)+~P46(x28913,x28911) % 192.26/192.35 [2892]P56(x28922,x28923,x28924,x28925,x28926)+~E(x28921,x28922)+~P56(x28921,x28923,x28924,x28925,x28926) % 192.26/192.35 [2893]P56(x28933,x28932,x28934,x28935,x28936)+~E(x28931,x28932)+~P56(x28933,x28931,x28934,x28935,x28936) % 192.26/192.35 [2894]P56(x28943,x28944,x28942,x28945,x28946)+~E(x28941,x28942)+~P56(x28943,x28944,x28941,x28945,x28946) % 192.26/192.35 [2895]P56(x28953,x28954,x28955,x28952,x28956)+~E(x28951,x28952)+~P56(x28953,x28954,x28955,x28951,x28956) % 192.26/192.35 [2896]P56(x28963,x28964,x28965,x28966,x28962)+~E(x28961,x28962)+~P56(x28963,x28964,x28965,x28966,x28961) % 192.26/192.35 [2897]~P75(x28971)+P75(x28972)+~E(x28971,x28972) % 192.26/192.35 [2898]~P137(x28981)+P137(x28982)+~E(x28981,x28982) % 192.26/192.35 [2899]~P68(x28991)+P68(x28992)+~E(x28991,x28992) % 192.26/192.35 [2900]P8(x29002,x29003)+~E(x29001,x29002)+~P8(x29001,x29003) % 192.26/192.35 [2901]P8(x29013,x29012)+~E(x29011,x29012)+~P8(x29013,x29011) % 192.26/192.35 [2902]P31(x29022,x29023,x29024,x29025)+~E(x29021,x29022)+~P31(x29021,x29023,x29024,x29025) % 192.26/192.35 [2903]P31(x29033,x29032,x29034,x29035)+~E(x29031,x29032)+~P31(x29033,x29031,x29034,x29035) % 192.26/192.35 [2904]P31(x29043,x29044,x29042,x29045)+~E(x29041,x29042)+~P31(x29043,x29044,x29041,x29045) % 192.26/192.35 [2905]P31(x29053,x29054,x29055,x29052)+~E(x29051,x29052)+~P31(x29053,x29054,x29055,x29051) % 192.26/192.35 [2906]~P95(x29061)+P95(x29062)+~E(x29061,x29062) % 192.26/192.35 [2907]P38(x29072,x29073)+~E(x29071,x29072)+~P38(x29071,x29073) % 192.26/192.35 [2908]P38(x29083,x29082)+~E(x29081,x29082)+~P38(x29083,x29081) % 192.26/192.35 [2909]P28(x29092,x29093,x29094)+~E(x29091,x29092)+~P28(x29091,x29093,x29094) % 192.26/192.35 [2910]P28(x29103,x29102,x29104)+~E(x29101,x29102)+~P28(x29103,x29101,x29104) % 192.26/192.35 [2911]P28(x29113,x29114,x29112)+~E(x29111,x29112)+~P28(x29113,x29114,x29111) % 192.26/192.35 [2912]P45(x29122,x29123)+~E(x29121,x29122)+~P45(x29121,x29123) % 192.26/192.35 [2913]P45(x29133,x29132)+~E(x29131,x29132)+~P45(x29133,x29131) % 192.26/192.35 [2914]~P92(x29141)+P92(x29142)+~E(x29141,x29142) % 192.26/192.35 [2915]P64(x29152,x29153,x29154,x29155)+~E(x29151,x29152)+~P64(x29151,x29153,x29154,x29155) % 192.26/192.35 [2916]P64(x29163,x29162,x29164,x29165)+~E(x29161,x29162)+~P64(x29163,x29161,x29164,x29165) % 192.26/192.35 [2917]P64(x29173,x29174,x29172,x29175)+~E(x29171,x29172)+~P64(x29173,x29174,x29171,x29175) % 192.26/192.35 [2918]P64(x29183,x29184,x29185,x29182)+~E(x29181,x29182)+~P64(x29183,x29184,x29185,x29181) % 192.26/192.35 [2919]~P147(x29191)+P147(x29192)+~E(x29191,x29192) % 192.26/192.35 [2920]~P94(x29201)+P94(x29202)+~E(x29201,x29202) % 192.26/192.35 [2921]~P106(x29211)+P106(x29212)+~E(x29211,x29212) % 192.26/192.35 [2922]~P103(x29221)+P103(x29222)+~E(x29221,x29222) % 192.26/192.35 [2923]~P78(x29231)+P78(x29232)+~E(x29231,x29232) % 192.26/192.35 [2924]P27(x29242,x29243)+~E(x29241,x29242)+~P27(x29241,x29243) % 192.26/192.35 [2925]P27(x29253,x29252)+~E(x29251,x29252)+~P27(x29253,x29251) % 192.26/192.35 [2926]P16(x29262,x29263,x29264)+~E(x29261,x29262)+~P16(x29261,x29263,x29264) % 192.26/192.35 [2927]P16(x29273,x29272,x29274)+~E(x29271,x29272)+~P16(x29273,x29271,x29274) % 192.26/192.35 [2928]P16(x29283,x29284,x29282)+~E(x29281,x29282)+~P16(x29283,x29284,x29281) % 192.26/192.35 [2929]~P79(x29291)+P79(x29292)+~E(x29291,x29292) % 192.26/192.35 [2930]~P134(x29301)+P134(x29302)+~E(x29301,x29302) % 192.26/192.35 [2931]~P93(x29311)+P93(x29312)+~E(x29311,x29312) % 192.26/192.35 [2932]~P80(x29321)+P80(x29322)+~E(x29321,x29322) % 192.26/192.35 [2933]P55(x29332,x29333,x29334,x29335,x29336)+~E(x29331,x29332)+~P55(x29331,x29333,x29334,x29335,x29336) % 192.26/192.35 [2934]P55(x29343,x29342,x29344,x29345,x29346)+~E(x29341,x29342)+~P55(x29343,x29341,x29344,x29345,x29346) % 192.26/192.35 [2935]P55(x29353,x29354,x29352,x29355,x29356)+~E(x29351,x29352)+~P55(x29353,x29354,x29351,x29355,x29356) % 192.26/192.35 [2936]P55(x29363,x29364,x29365,x29362,x29366)+~E(x29361,x29362)+~P55(x29363,x29364,x29365,x29361,x29366) % 192.26/192.35 [2937]P55(x29373,x29374,x29375,x29376,x29372)+~E(x29371,x29372)+~P55(x29373,x29374,x29375,x29376,x29371) % 192.26/192.35 [2938]P14(x29382,x29383)+~E(x29381,x29382)+~P14(x29381,x29383) % 192.26/192.35 [2939]P14(x29393,x29392)+~E(x29391,x29392)+~P14(x29393,x29391) % 192.26/192.35 [2940]~P146(x29401)+P146(x29402)+~E(x29401,x29402) % 192.26/192.35 [2941]~P7(x29411)+P7(x29412)+~E(x29411,x29412) % 192.26/192.35 [2942]~P136(x29421)+P136(x29422)+~E(x29421,x29422) % 192.26/192.35 [2943]~P88(x29431)+P88(x29432)+~E(x29431,x29432) % 192.26/192.35 [2944]~P133(x29441)+P133(x29442)+~E(x29441,x29442) % 192.26/192.35 [2945]P62(x29452,x29453,x29454,x29455,x29456)+~E(x29451,x29452)+~P62(x29451,x29453,x29454,x29455,x29456) % 192.26/192.35 [2946]P62(x29463,x29462,x29464,x29465,x29466)+~E(x29461,x29462)+~P62(x29463,x29461,x29464,x29465,x29466) % 192.26/192.35 [2947]P62(x29473,x29474,x29472,x29475,x29476)+~E(x29471,x29472)+~P62(x29473,x29474,x29471,x29475,x29476) % 192.26/192.35 [2948]P62(x29483,x29484,x29485,x29482,x29486)+~E(x29481,x29482)+~P62(x29483,x29484,x29485,x29481,x29486) % 192.26/192.35 [2949]P62(x29493,x29494,x29495,x29496,x29492)+~E(x29491,x29492)+~P62(x29493,x29494,x29495,x29496,x29491) % 192.26/192.35 [2950]~P70(x29501)+P70(x29502)+~E(x29501,x29502) % 192.26/192.35 [2951]~P72(x29511)+P72(x29512)+~E(x29511,x29512) % 192.26/192.35 [2952]~P111(x29521)+P111(x29522)+~E(x29521,x29522) % 192.26/192.35 [2953]~P120(x29531)+P120(x29532)+~E(x29531,x29532) % 192.26/192.35 [2954]~P85(x29541)+P85(x29542)+~E(x29541,x29542) % 192.26/192.35 [2955]P13(x29552,x29553,x29554)+~E(x29551,x29552)+~P13(x29551,x29553,x29554) % 192.26/192.35 [2956]P13(x29563,x29562,x29564)+~E(x29561,x29562)+~P13(x29563,x29561,x29564) % 192.26/192.35 [2957]P13(x29573,x29574,x29572)+~E(x29571,x29572)+~P13(x29573,x29574,x29571) % 192.26/192.35 [2958]P59(x29582,x29583)+~E(x29581,x29582)+~P59(x29581,x29583) % 192.26/192.35 [2959]P59(x29593,x29592)+~E(x29591,x29592)+~P59(x29593,x29591) % 192.26/192.35 [2960]~P73(x29601)+P73(x29602)+~E(x29601,x29602) % 192.26/192.35 [2961]P63(x29612,x29613)+~E(x29611,x29612)+~P63(x29611,x29613) % 192.26/192.35 [2962]P63(x29623,x29622)+~E(x29621,x29622)+~P63(x29623,x29621) % 192.26/192.35 [2963]~P151(x29631)+P151(x29632)+~E(x29631,x29632) % 192.26/192.35 [2964]~P150(x29641)+P150(x29642)+~E(x29641,x29642) % 192.26/192.35 [2965]P22(x29652,x29653,x29654,x29655,x29656,x29657)+~E(x29651,x29652)+~P22(x29651,x29653,x29654,x29655,x29656,x29657) % 192.26/192.35 [2966]P22(x29663,x29662,x29664,x29665,x29666,x29667)+~E(x29661,x29662)+~P22(x29663,x29661,x29664,x29665,x29666,x29667) % 192.26/192.35 [2967]P22(x29673,x29674,x29672,x29675,x29676,x29677)+~E(x29671,x29672)+~P22(x29673,x29674,x29671,x29675,x29676,x29677) % 192.26/192.35 [2968]P22(x29683,x29684,x29685,x29682,x29686,x29687)+~E(x29681,x29682)+~P22(x29683,x29684,x29685,x29681,x29686,x29687) % 192.26/192.35 [2969]P22(x29693,x29694,x29695,x29696,x29692,x29697)+~E(x29691,x29692)+~P22(x29693,x29694,x29695,x29696,x29691,x29697) % 192.26/192.35 [2970]P22(x29703,x29704,x29705,x29706,x29707,x29702)+~E(x29701,x29702)+~P22(x29703,x29704,x29705,x29706,x29707,x29701) % 192.26/192.35 [2971]~P89(x29711)+P89(x29712)+~E(x29711,x29712) % 192.26/192.35 [2972]P53(x29722,x29723,x29724,x29725)+~E(x29721,x29722)+~P53(x29721,x29723,x29724,x29725) % 192.26/192.35 [2973]P53(x29733,x29732,x29734,x29735)+~E(x29731,x29732)+~P53(x29733,x29731,x29734,x29735) % 192.26/192.35 [2974]P53(x29743,x29744,x29742,x29745)+~E(x29741,x29742)+~P53(x29743,x29744,x29741,x29745) % 192.26/192.35 [2975]P53(x29753,x29754,x29755,x29752)+~E(x29751,x29752)+~P53(x29753,x29754,x29755,x29751) % 192.26/192.35 [2976]P44(x29762,x29763,x29764,x29765,x29766,x29767)+~E(x29761,x29762)+~P44(x29761,x29763,x29764,x29765,x29766,x29767) % 192.26/192.35 [2977]P44(x29773,x29772,x29774,x29775,x29776,x29777)+~E(x29771,x29772)+~P44(x29773,x29771,x29774,x29775,x29776,x29777) % 192.26/192.35 [2978]P44(x29783,x29784,x29782,x29785,x29786,x29787)+~E(x29781,x29782)+~P44(x29783,x29784,x29781,x29785,x29786,x29787) % 192.26/192.35 [2979]P44(x29793,x29794,x29795,x29792,x29796,x29797)+~E(x29791,x29792)+~P44(x29793,x29794,x29795,x29791,x29796,x29797) % 192.26/192.35 [2980]P44(x29803,x29804,x29805,x29806,x29802,x29807)+~E(x29801,x29802)+~P44(x29803,x29804,x29805,x29806,x29801,x29807) % 192.26/192.35 [2981]P44(x29813,x29814,x29815,x29816,x29817,x29812)+~E(x29811,x29812)+~P44(x29813,x29814,x29815,x29816,x29817,x29811) % 192.26/192.35 [2982]~P121(x29821)+P121(x29822)+~E(x29821,x29822) % 192.26/192.35 [2983]~P90(x29831)+P90(x29832)+~E(x29831,x29832) % 192.26/192.35 [2984]~P97(x29841)+P97(x29842)+~E(x29841,x29842) % 192.26/192.35 [2985]~P139(x29851)+P139(x29852)+~E(x29851,x29852) % 192.26/192.35 [2986]P15(x29862,x29863,x29864)+~E(x29861,x29862)+~P15(x29861,x29863,x29864) % 192.26/192.35 [2987]P15(x29873,x29872,x29874)+~E(x29871,x29872)+~P15(x29873,x29871,x29874) % 192.26/192.35 [2988]P15(x29883,x29884,x29882)+~E(x29881,x29882)+~P15(x29883,x29884,x29881) % 192.26/192.35 [2989]~P141(x29891)+P141(x29892)+~E(x29891,x29892) % 192.26/192.35 [2990]P11(x29902,x29903,x29904,x29905,x29906,x29907)+~E(x29901,x29902)+~P11(x29901,x29903,x29904,x29905,x29906,x29907) % 192.26/192.35 [2991]P11(x29913,x29912,x29914,x29915,x29916,x29917)+~E(x29911,x29912)+~P11(x29913,x29911,x29914,x29915,x29916,x29917) % 192.26/192.35 [2992]P11(x29923,x29924,x29922,x29925,x29926,x29927)+~E(x29921,x29922)+~P11(x29923,x29924,x29921,x29925,x29926,x29927) % 192.26/192.35 [2993]P11(x29933,x29934,x29935,x29932,x29936,x29937)+~E(x29931,x29932)+~P11(x29933,x29934,x29935,x29931,x29936,x29937) % 192.26/192.35 [2994]P11(x29943,x29944,x29945,x29946,x29942,x29947)+~E(x29941,x29942)+~P11(x29943,x29944,x29945,x29946,x29941,x29947) % 192.26/192.35 [2995]P11(x29953,x29954,x29955,x29956,x29957,x29952)+~E(x29951,x29952)+~P11(x29953,x29954,x29955,x29956,x29957,x29951) % 192.26/192.35 [2996]P47(x29962,x29963)+~E(x29961,x29962)+~P47(x29961,x29963) % 192.26/192.35 [2997]P47(x29973,x29972)+~E(x29971,x29972)+~P47(x29973,x29971) % 192.26/192.35 [2998]~P96(x29981)+P96(x29982)+~E(x29981,x29982) % 192.26/192.35 [2999]~P126(x29991)+P126(x29992)+~E(x29991,x29992) % 192.26/192.35 [3000]~P140(x30001)+P140(x30002)+~E(x30001,x30002) % 192.26/192.35 [3001]P10(x30012,x30013,x30014,x30015)+~E(x30011,x30012)+~P10(x30011,x30013,x30014,x30015) % 192.26/192.35 [3002]P10(x30023,x30022,x30024,x30025)+~E(x30021,x30022)+~P10(x30023,x30021,x30024,x30025) % 192.26/192.35 [3003]P10(x30033,x30034,x30032,x30035)+~E(x30031,x30032)+~P10(x30033,x30034,x30031,x30035) % 192.26/192.35 [3004]P10(x30043,x30044,x30045,x30042)+~E(x30041,x30042)+~P10(x30043,x30044,x30045,x30041) % 192.26/192.35 [3005]~P125(x30051)+P125(x30052)+~E(x30051,x30052) % 192.26/192.35 [3006]~P148(x30061)+P148(x30062)+~E(x30061,x30062) % 192.26/192.35 [3007]P57(x30072,x30073,x30074,x30075,x30076,x30077,x30078,x30079)+~E(x30071,x30072)+~P57(x30071,x30073,x30074,x30075,x30076,x30077,x30078,x30079) % 192.26/192.35 [3008]P57(x30083,x30082,x30084,x30085,x30086,x30087,x30088,x30089)+~E(x30081,x30082)+~P57(x30083,x30081,x30084,x30085,x30086,x30087,x30088,x30089) % 192.26/192.35 [3009]P57(x30093,x30094,x30092,x30095,x30096,x30097,x30098,x30099)+~E(x30091,x30092)+~P57(x30093,x30094,x30091,x30095,x30096,x30097,x30098,x30099) % 192.26/192.35 [3010]P57(x30103,x30104,x30105,x30102,x30106,x30107,x30108,x30109)+~E(x30101,x30102)+~P57(x30103,x30104,x30105,x30101,x30106,x30107,x30108,x30109) % 192.26/192.35 [3011]P57(x30113,x30114,x30115,x30116,x30112,x30117,x30118,x30119)+~E(x30111,x30112)+~P57(x30113,x30114,x30115,x30116,x30111,x30117,x30118,x30119) % 192.26/192.35 [3012]P57(x30123,x30124,x30125,x30126,x30127,x30122,x30128,x30129)+~E(x30121,x30122)+~P57(x30123,x30124,x30125,x30126,x30127,x30121,x30128,x30129) % 192.26/192.35 [3013]P57(x30133,x30134,x30135,x30136,x30137,x30138,x30132,x30139)+~E(x30131,x30132)+~P57(x30133,x30134,x30135,x30136,x30137,x30138,x30131,x30139) % 192.26/192.35 [3014]P57(x30143,x30144,x30145,x30146,x30147,x30148,x30149,x30142)+~E(x30141,x30142)+~P57(x30143,x30144,x30145,x30146,x30147,x30148,x30149,x30141) % 192.26/192.35 [3015]~P149(x30151)+P149(x30152)+~E(x30151,x30152) % 192.26/192.35 [3016]~P127(x30161)+P127(x30162)+~E(x30161,x30162) % 192.26/192.35 [3017]P29(x30172,x30173,x30174)+~E(x30171,x30172)+~P29(x30171,x30173,x30174) % 192.26/192.35 [3018]P29(x30183,x30182,x30184)+~E(x30181,x30182)+~P29(x30183,x30181,x30184) % 192.26/192.35 [3019]P29(x30193,x30194,x30192)+~E(x30191,x30192)+~P29(x30193,x30194,x30191) % 192.26/192.35 [3020]~P82(x30201)+P82(x30202)+~E(x30201,x30202) % 192.26/192.35 [3021]~P49(x30211)+P49(x30212)+~E(x30211,x30212) % 192.26/192.35 [3022]~P143(x30221)+P143(x30222)+~E(x30221,x30222) % 192.26/192.35 [3023]P48(x30232,x30233)+~E(x30231,x30232)+~P48(x30231,x30233) % 192.26/192.35 [3024]P48(x30243,x30242)+~E(x30241,x30242)+~P48(x30243,x30241) % 192.26/192.35 [3025]~P132(x30251)+P132(x30252)+~E(x30251,x30252) % 192.26/192.35 [3026]P42(x30262,x30263,x30264,x30265)+~E(x30261,x30262)+~P42(x30261,x30263,x30264,x30265) % 192.26/192.35 [3027]P42(x30273,x30272,x30274,x30275)+~E(x30271,x30272)+~P42(x30273,x30271,x30274,x30275) % 192.26/192.35 [3028]P42(x30283,x30284,x30282,x30285)+~E(x30281,x30282)+~P42(x30283,x30284,x30281,x30285) % 192.26/192.35 [3029]P42(x30293,x30294,x30295,x30292)+~E(x30291,x30292)+~P42(x30293,x30294,x30295,x30291) % 192.26/192.35 [3030]P19(x30302,x30303,x30304,x30305)+~E(x30301,x30302)+~P19(x30301,x30303,x30304,x30305) % 192.26/192.35 [3031]P19(x30313,x30312,x30314,x30315)+~E(x30311,x30312)+~P19(x30313,x30311,x30314,x30315) % 192.26/192.35 [3032]P19(x30323,x30324,x30322,x30325)+~E(x30321,x30322)+~P19(x30323,x30324,x30321,x30325) % 192.26/192.35 [3033]P19(x30333,x30334,x30335,x30332)+~E(x30331,x30332)+~P19(x30333,x30334,x30335,x30331) % 192.26/192.35 [3034]~P124(x30341)+P124(x30342)+~E(x30341,x30342) % 192.26/192.35 [3035]P18(x30352,x30353,x30354,x30355)+~E(x30351,x30352)+~P18(x30351,x30353,x30354,x30355) % 192.26/192.35 [3036]P18(x30363,x30362,x30364,x30365)+~E(x30361,x30362)+~P18(x30363,x30361,x30364,x30365) % 192.26/192.35 [3037]P18(x30373,x30374,x30372,x30375)+~E(x30371,x30372)+~P18(x30373,x30374,x30371,x30375) % 192.26/192.35 [3038]P18(x30383,x30384,x30385,x30382)+~E(x30381,x30382)+~P18(x30383,x30384,x30385,x30381) % 192.26/192.35 [3039]~P35(x30391)+P35(x30392)+~E(x30391,x30392) % 192.26/192.35 [3040]P54(x30402,x30403,x30404,x30405,x30406,x30407)+~E(x30401,x30402)+~P54(x30401,x30403,x30404,x30405,x30406,x30407) % 192.26/192.35 [3041]P54(x30413,x30412,x30414,x30415,x30416,x30417)+~E(x30411,x30412)+~P54(x30413,x30411,x30414,x30415,x30416,x30417) % 192.26/192.35 [3042]P54(x30423,x30424,x30422,x30425,x30426,x30427)+~E(x30421,x30422)+~P54(x30423,x30424,x30421,x30425,x30426,x30427) % 192.26/192.35 [3043]P54(x30433,x30434,x30435,x30432,x30436,x30437)+~E(x30431,x30432)+~P54(x30433,x30434,x30435,x30431,x30436,x30437) % 192.26/192.35 [3044]P54(x30443,x30444,x30445,x30446,x30442,x30447)+~E(x30441,x30442)+~P54(x30443,x30444,x30445,x30446,x30441,x30447) % 192.26/192.35 [3045]P54(x30453,x30454,x30455,x30456,x30457,x30452)+~E(x30451,x30452)+~P54(x30453,x30454,x30455,x30456,x30457,x30451) % 192.26/192.35 [3046]~P122(x30461)+P122(x30462)+~E(x30461,x30462) % 192.26/192.35 [3047]P20(x30472,x30473,x30474,x30475,x30476)+~E(x30471,x30472)+~P20(x30471,x30473,x30474,x30475,x30476) % 192.26/192.35 [3048]P20(x30483,x30482,x30484,x30485,x30486)+~E(x30481,x30482)+~P20(x30483,x30481,x30484,x30485,x30486) % 192.26/192.35 [3049]P20(x30493,x30494,x30492,x30495,x30496)+~E(x30491,x30492)+~P20(x30493,x30494,x30491,x30495,x30496) % 192.26/192.35 [3050]P20(x30503,x30504,x30505,x30502,x30506)+~E(x30501,x30502)+~P20(x30503,x30504,x30505,x30501,x30506) % 192.26/192.35 [3051]P20(x30513,x30514,x30515,x30516,x30512)+~E(x30511,x30512)+~P20(x30513,x30514,x30515,x30516,x30511) % 192.26/192.35 [3052]P51(x30522,x30523,x30524)+~E(x30521,x30522)+~P51(x30521,x30523,x30524) % 192.26/192.35 [3053]P51(x30533,x30532,x30534)+~E(x30531,x30532)+~P51(x30533,x30531,x30534) % 192.26/192.35 [3054]P51(x30543,x30544,x30542)+~E(x30541,x30542)+~P51(x30543,x30544,x30541) % 192.26/192.35 [3055]~P138(x30551)+P138(x30552)+~E(x30551,x30552) % 192.26/192.35 [3056]P4(x30562,x30563,x30564)+~E(x30561,x30562)+~P4(x30561,x30563,x30564) % 192.26/192.35 [3057]P4(x30573,x30572,x30574)+~E(x30571,x30572)+~P4(x30573,x30571,x30574) % 192.26/192.35 [3058]P4(x30583,x30584,x30582)+~E(x30581,x30582)+~P4(x30583,x30584,x30581) % 192.26/192.35 [3059]~P107(x30591)+P107(x30592)+~E(x30591,x30592) % 192.26/192.35 [3060]P5(x30602,x30603,x30604,x30605,x30606)+~E(x30601,x30602)+~P5(x30601,x30603,x30604,x30605,x30606) % 192.26/192.35 [3061]P5(x30613,x30612,x30614,x30615,x30616)+~E(x30611,x30612)+~P5(x30613,x30611,x30614,x30615,x30616) % 192.26/192.35 [3062]P5(x30623,x30624,x30622,x30625,x30626)+~E(x30621,x30622)+~P5(x30623,x30624,x30621,x30625,x30626) % 192.26/192.35 [3063]P5(x30633,x30634,x30635,x30632,x30636)+~E(x30631,x30632)+~P5(x30633,x30634,x30635,x30631,x30636) % 192.26/192.35 [3064]P5(x30643,x30644,x30645,x30646,x30642)+~E(x30641,x30642)+~P5(x30643,x30644,x30645,x30646,x30641) % 192.26/192.35 [3065]~P129(x30651)+P129(x30652)+~E(x30651,x30652) % 192.26/192.35 [3066]~P142(x30661)+P142(x30662)+~E(x30661,x30662) % 192.26/192.35 [3067]P26(x30672,x30673)+~E(x30671,x30672)+~P26(x30671,x30673) % 192.26/192.35 [3068]P26(x30683,x30682)+~E(x30681,x30682)+~P26(x30683,x30681) % 192.26/192.35 [3069]P52(x30692,x30693,x30694)+~E(x30691,x30692)+~P52(x30691,x30693,x30694) % 192.26/192.35 [3070]P52(x30703,x30702,x30704)+~E(x30701,x30702)+~P52(x30703,x30701,x30704) % 192.26/192.35 [3071]P52(x30713,x30714,x30712)+~E(x30711,x30712)+~P52(x30713,x30714,x30711) % 192.26/192.35 [3072]~P128(x30721)+P128(x30722)+~E(x30721,x30722) % 192.26/192.35 [3073]P41(x30732,x30733,x30734,x30735)+~E(x30731,x30732)+~P41(x30731,x30733,x30734,x30735) % 192.26/192.35 [3074]P41(x30743,x30742,x30744,x30745)+~E(x30741,x30742)+~P41(x30743,x30741,x30744,x30745) % 192.26/192.35 [3075]P41(x30753,x30754,x30752,x30755)+~E(x30751,x30752)+~P41(x30753,x30754,x30751,x30755) % 192.26/192.35 [3076]P41(x30763,x30764,x30765,x30762)+~E(x30761,x30762)+~P41(x30763,x30764,x30765,x30761) % 192.26/192.35 % 192.26/192.35 %------------------------------------------- % 192.26/192.38 cnf(10464,plain, % 192.26/192.38 (E(f34(x104641,x104642,x104643,x104644,x104645,x104646,x104647,x104648,x104649,a25),x104642)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(10467,plain, % 192.26/192.38 (~E(f295(a119,x104671),x104671)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10474,plain, % 192.26/192.38 (~E(f295(a119,x104741),x104741)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10485,plain, % 192.26/192.38 (~E(f295(a119,x104851),x104851)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10490,plain, % 192.26/192.38 (~P1(f295(f63(x104901,x104902,f176(f911(x104901,a897))),x104903))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10493,plain, % 192.26/192.38 (~P1(f295(f63(x104931,x104932,f176(f911(x104931,a897))),x104933))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10496,plain, % 192.26/192.38 (~E(f295(a119,x104961),x104961)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10499,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x104991),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(10502,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x105021),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(10515,plain, % 192.26/192.38 (~P1(f295(f176(f911(x105151,a897)),x105152))), % 192.26/192.38 inference(scs_inference,[],[4586,4612,10467,10474,10485,3318,3380,3324,3455,4695,10499,4692,4638,4702,3448,4684,4717,10490,4720,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208])). % 192.26/192.38 cnf(10519,plain, % 192.26/192.38 (~P1(f295(f295(f207(a902),f295(a119,x105191)),x105191))), % 192.26/192.38 inference(rename_variables,[],[4704])). % 192.26/192.38 cnf(10522,plain, % 192.26/192.38 (~E(f295(f295(f140(x105221),x105222),x105223),x105223)), % 192.26/192.38 inference(rename_variables,[],[4643])). % 192.26/192.38 cnf(10528,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x105281),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(10531,plain, % 192.26/192.38 (E(f34(x105311,x105312,x105313,x105314,x105315,x105316,x105317,x105318,x105319,a25),x105312)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(10534,plain, % 192.26/192.38 (E(f34(x105341,x105342,x105343,x105344,x105345,x105346,x105347,x105348,x105349,a25),x105342)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(10539,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x105391),x105391))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(10543,plain, % 192.26/192.38 (~E(f295(f295(f83(a902),x105431),f295(a119,x105432)),x105432)), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,4612,10467,10474,10485,3318,3380,3341,3324,4643,3455,4695,10499,10502,4692,4638,4691,4704,4702,3448,4684,4717,10490,4720,4718,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287])). % 192.26/192.38 cnf(10544,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x105441),x105442)),x105442))), % 192.26/192.38 inference(rename_variables,[],[4718])). % 192.26/192.38 cnf(10547,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x105471),x105472)),x105472))), % 192.26/192.38 inference(rename_variables,[],[4718])). % 192.26/192.38 cnf(10554,plain, % 192.26/192.38 (~E(x105541,f295(a119,x105541))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,4612,10467,10474,10485,3318,3380,3341,3324,4643,3542,3455,4695,10499,10502,4692,4638,4691,4704,4265,4702,3448,4684,4717,10490,4720,4718,10544,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345])). % 192.26/192.38 cnf(10568,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x105681),x105681))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(10571,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),f46(a902,x105711,x105712)),x105711))), % 192.26/192.38 inference(rename_variables,[],[3914])). % 192.26/192.38 cnf(10590,plain, % 192.26/192.38 (E(f295(f39(a902),f295(f249(a902),x105901)),x105901)), % 192.26/192.38 inference(rename_variables,[],[3375])). % 192.26/192.38 cnf(10598,plain, % 192.26/192.38 (~E(f295(a119,x105981),x105981)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10601,plain, % 192.26/192.38 (~E(f295(a119,x106011),x106011)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10604,plain, % 192.26/192.38 (~E(f295(a119,x106041),x106041)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10606,plain, % 192.26/192.38 (P1(f295(a179,a104))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,4612,10467,10474,10485,10496,10598,10601,3318,3380,3341,3324,3407,4643,3375,4723,3393,3542,3455,4695,10499,10502,4040,3476,4692,4638,4691,10539,10568,3566,3973,3914,4704,10519,4265,4702,4683,3448,4684,4717,10490,4720,4718,10544,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489])). % 192.26/192.38 cnf(10609,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x106091),f295(a119,x106091)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(10618,plain, % 192.26/192.38 (P1(f295(f295(f182(a25),x106181),x106181))), % 192.26/192.38 inference(rename_variables,[],[3473])). % 192.26/192.38 cnf(10625,plain, % 192.26/192.38 (E(f34(x106251,x106252,x106253,x106254,x106255,x106256,x106257,x106258,x106259,a25),x106252)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(10628,plain, % 192.26/192.38 (E(f34(x106281,x106282,x106283,x106284,x106285,x106286,x106287,x106288,x106289,a25),x106282)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(10649,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x106491),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(10652,plain, % 192.26/192.38 (P1(f295(f295(f235(x106521,x106522,x106521,x106522,x106523,x106523),f36(x106521)),f36(x106522)))), % 192.26/192.38 inference(rename_variables,[],[4526])). % 192.26/192.38 cnf(10657,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x106571),x106571))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(10663,plain, % 192.26/192.38 (E(f295(f295(f83(a902),x106631),f379(x106631,x106631)),x106631)), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,4612,10467,10474,10485,10496,10598,10601,3318,3380,3341,3324,3407,4643,3375,4226,4526,4723,3393,3542,10609,3455,4695,10499,10502,10528,3899,4040,3501,3502,3476,4692,4638,4182,3473,3474,4691,10539,10568,3566,3973,3914,10571,4704,10519,4265,4702,4683,3448,4684,4717,10490,4720,3932,4718,10544,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633])). % 192.26/192.38 cnf(10686,plain, % 192.26/192.38 (~E(f295(f295(f140(x106861),x106862),x106863),x106863)), % 192.26/192.38 inference(rename_variables,[],[4643])). % 192.26/192.38 cnf(10689,plain, % 192.26/192.38 (~E(f295(a119,x106891),f2(a902))), % 192.26/192.38 inference(rename_variables,[],[4624])). % 192.26/192.38 cnf(10700,plain, % 192.26/192.38 (P1(f295(f295(f207(a1),x107001),x107001))), % 192.26/192.38 inference(rename_variables,[],[3475])). % 192.26/192.38 cnf(10705,plain, % 192.26/192.38 (~E(f295(a119,x107051),x107051)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10708,plain, % 192.26/192.38 (~P1(f295(f295(f176(f911(x107081,f911(x107082,a897))),x107083),x107084))), % 192.26/192.38 inference(rename_variables,[],[4721])). % 192.26/192.38 cnf(10715,plain, % 192.26/192.38 (P1(f295(f295(f182(a25),x107151),x107151))), % 192.26/192.38 inference(rename_variables,[],[3473])). % 192.26/192.38 cnf(10728,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x107281),f295(a119,x107281)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(10733,plain, % 192.26/192.38 (E(f295(f295(f122(x107331),f120(x107331)),x107332),x107332)), % 192.26/192.38 inference(rename_variables,[],[3427])). % 192.26/192.38 cnf(10736,plain, % 192.26/192.38 (E(f295(f295(f122(x107361),f120(x107361)),x107362),x107362)), % 192.26/192.38 inference(rename_variables,[],[3427])). % 192.26/192.38 cnf(10754,plain, % 192.26/192.38 (~P1(f295(f63(x107541,x107542,f176(f911(x107541,a897))),x107543))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10773,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x107731),x107731))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(10780,plain, % 192.26/192.38 (~P1(f295(f63(x107801,x107802,f176(f911(x107801,a897))),x107803))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10791,plain, % 192.26/192.38 (~E(f295(a119,x107911),f2(a902))), % 192.26/192.38 inference(rename_variables,[],[4624])). % 192.26/192.38 cnf(10797,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),f2(a902)),f295(a111,f81(a1))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,4612,10467,10474,10485,10496,10598,10601,10604,4624,10689,3318,3380,3341,3324,3407,3427,10733,4643,10522,3375,4226,4526,10652,4723,3393,3826,3542,10609,10728,3455,4695,10499,10502,10528,10649,4711,3899,4040,3501,3502,3476,4692,4638,4182,3473,10618,3474,3475,4691,10539,10568,10657,3566,3973,3914,10571,4704,10519,4265,4702,4683,3448,3452,4685,4684,4717,10490,10493,10754,4720,4721,3932,4718,10544,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058])). % 192.26/192.38 cnf(10800,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x108001),x108001))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(10805,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x108051),f295(a119,x108051)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(10808,plain, % 192.26/192.38 (~P1(f295(f63(x108081,x108082,f176(f911(x108081,a897))),x108083))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10811,plain, % 192.26/192.38 (~P1(f295(f295(f176(f911(x108111,f911(x108112,a897))),x108113),x108114))), % 192.26/192.38 inference(rename_variables,[],[4721])). % 192.26/192.38 cnf(10814,plain, % 192.26/192.38 (~P1(f295(f63(x108141,x108142,f176(f911(x108141,a897))),x108143))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10817,plain, % 192.26/192.38 (~P1(f295(f295(f176(f911(x108171,f911(x108172,a897))),x108173),x108174))), % 192.26/192.38 inference(rename_variables,[],[4721])). % 192.26/192.38 cnf(10822,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x108221),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(10827,plain, % 192.26/192.38 (~P1(f295(f63(x108271,x108272,f176(f911(x108271,a897))),x108273))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10837,plain, % 192.26/192.38 (~E(f295(f157(x108371),f295(a119,f295(f295(f122(x108371),f295(f157(x108371),x108372)),f295(f295(f140(x108371),x108373),f120(x108371))))),f295(f295(f140(x108371),x108373),x108372))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,4612,10467,10474,10485,10496,10598,10601,10604,10705,4624,10689,3318,3380,3341,3324,3407,3427,10733,4643,10522,3375,4226,4526,10652,4723,3393,3826,3542,10609,10728,10805,3455,4695,10499,10502,10528,10649,4711,3899,4040,3501,3502,3476,4692,4638,4182,3473,10618,3474,3475,4691,10539,10568,10657,10773,3566,3973,3914,10571,4704,10519,4265,4702,4683,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,4720,4721,10708,10811,3932,4718,10544,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172])). % 192.26/192.38 cnf(10838,plain, % 192.26/192.38 (~E(f295(a119,x108381),x108381)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10845,plain, % 192.26/192.38 (~P1(f295(f63(x108451,x108452,f176(f911(x108451,a897))),x108453))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(10859,plain, % 192.26/192.38 (P1(f295(f295(f208(a106),f295(a3,x108591)),f295(a3,f295(a119,x108591))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,4612,10467,10474,10485,10496,10598,10601,10604,10705,4624,10689,3318,3380,3341,3324,3407,3427,10733,4643,10522,3375,4226,4526,10652,4723,3393,3826,3542,10609,10728,10805,3910,3455,4695,10499,10502,10528,10649,4711,3899,4040,3501,3502,3476,4692,4638,4182,3473,10618,3474,3475,4691,10539,10568,10657,10773,3566,3973,3914,10571,4704,10519,4265,4702,4683,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4720,4721,10708,10811,3932,4718,10544,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252])). % 192.26/192.38 cnf(10866,plain, % 192.26/192.38 (P1(f295(f295(f182(a25),x108661),x108661))), % 192.26/192.38 inference(rename_variables,[],[3473])). % 192.26/192.38 cnf(10869,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x108691),f295(f295(f84(a902),x108691),x108691)))), % 192.26/192.38 inference(rename_variables,[],[3732])). % 192.26/192.38 cnf(10871,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x108711),f295(f295(f84(a902),f295(a119,x108711)),f295(a119,x108711))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,4612,10467,10474,10485,10496,10598,10601,10604,10705,4624,10689,3318,3380,3341,3324,3407,3427,10733,4643,10522,3375,4226,4526,10652,4723,3393,3826,3542,10609,10728,10805,3910,3455,4695,10499,10502,10528,10649,4711,3899,4040,3501,3502,3476,4692,4638,4182,3473,10618,10715,3474,3475,4691,10539,10568,10657,10773,3566,3973,3914,10571,4704,10519,4265,4702,4683,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,3732,10869,4720,4721,10708,10811,3932,4718,10544,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276])). % 192.26/192.38 cnf(10872,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x108721),f295(f295(f84(a902),x108721),x108721)))), % 192.26/192.38 inference(rename_variables,[],[3732])). % 192.26/192.38 cnf(10875,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x108751),f295(a119,f295(f295(f83(a902),x108752),x108751))))), % 192.26/192.38 inference(rename_variables,[],[3908])). % 192.26/192.38 cnf(10880,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x108801),f295(a119,x108801)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(10883,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x108831),f295(a119,x108831)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(10886,plain, % 192.26/192.38 (P1(f295(f295(f297(x108861),x108862),f214(f911(x108861,a897))))), % 192.26/192.38 inference(rename_variables,[],[3627])). % 192.26/192.38 cnf(10899,plain, % 192.26/192.38 (~E(f295(a119,x108991),x108991)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(10904,plain, % 192.26/192.38 (~P1(f295(f295(f207(a902),f295(a119,x109041)),x109041))), % 192.26/192.38 inference(rename_variables,[],[4704])). % 192.26/192.38 cnf(10907,plain, % 192.26/192.38 (~P1(f295(f295(f207(a902),f295(a119,x109071)),x109071))), % 192.26/192.38 inference(rename_variables,[],[4704])). % 192.26/192.38 cnf(10910,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x109101),x109102)),x109102))), % 192.26/192.38 inference(rename_variables,[],[4718])). % 192.26/192.38 cnf(10913,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x109131),x109132)),x109132))), % 192.26/192.38 inference(rename_variables,[],[4718])). % 192.26/192.38 cnf(10916,plain, % 192.26/192.38 (P1(f295(f214(f911(x109161,a897)),x109162))), % 192.26/192.38 inference(rename_variables,[],[3536])). % 192.26/192.38 cnf(10919,plain, % 192.26/192.38 (E(f295(f39(a902),f295(f249(a902),x109191)),x109191)), % 192.26/192.38 inference(rename_variables,[],[3375])). % 192.26/192.38 cnf(10922,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x109221),f295(a119,x109221)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(10929,plain, % 192.26/192.38 (P1(f295(f295(f182(a25),x109291),x109291))), % 192.26/192.38 inference(rename_variables,[],[3473])). % 192.26/192.38 cnf(10934,plain, % 192.26/192.38 (P1(f295(f295(f207(a1),x109341),x109341))), % 192.26/192.38 inference(rename_variables,[],[3475])). % 192.26/192.38 cnf(10943,plain, % 192.26/192.38 (E(f34(x109431,x109432,x109433,x109434,x109435,x109436,x109437,x109438,x109439,a25),x109432)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(10946,plain, % 192.26/192.38 (P1(f295(f214(f911(x109461,a897)),x109462))), % 192.26/192.38 inference(rename_variables,[],[3536])). % 192.26/192.38 cnf(10949,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),f2(a902)),x109491))), % 192.26/192.38 inference(rename_variables,[],[3494])). % 192.26/192.38 cnf(10952,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x109521,a897)),f176(f911(x109521,a897))),x109522))), % 192.26/192.38 inference(rename_variables,[],[3907])). % 192.26/192.38 cnf(10955,plain, % 192.26/192.38 (P1(f295(f214(f911(x109551,a897)),x109552))), % 192.26/192.38 inference(rename_variables,[],[3536])). % 192.26/192.38 cnf(10957,plain, % 192.26/192.38 (~P1(f295(f295(f207(a902),f295(f295(f84(a902),f295(a119,x109571)),f295(a119,x109571))),x109571))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3318,3380,3341,3324,3407,3427,10733,4643,10522,3375,10590,4226,4526,10652,4723,3393,3826,3765,3542,10609,10728,10805,10880,10883,3910,3455,4695,10499,10502,10528,10649,4711,3899,3676,4040,3501,3502,3476,4692,4638,4182,3473,10618,10715,10866,3474,3475,10700,4691,10539,10568,10657,10773,3627,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,3494,4265,4702,4683,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,4720,4721,10708,10811,3932,4718,10544,10547,10910,3908,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482])). % 192.26/192.38 cnf(10958,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x109581),f295(f295(f84(a902),x109581),x109581)))), % 192.26/192.38 inference(rename_variables,[],[3732])). % 192.26/192.38 cnf(10961,plain, % 192.26/192.38 (~E(f295(f295(f140(x109611),x109612),x109613),x109613)), % 192.26/192.38 inference(rename_variables,[],[4643])). % 192.26/192.38 cnf(10968,plain, % 192.26/192.38 (E(f34(x109681,x109682,x109683,x109684,x109685,x109686,x109687,x109688,x109689,a25),x109682)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(10972,plain, % 192.26/192.38 (~P1(f295(f295(f207(a902),f295(a119,f295(a119,f295(f295(f83(a902),x109721),x109722)))),f295(a119,x109722)))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,4454,3318,3380,3341,3324,3407,3427,10733,4643,10522,10686,3375,10590,4226,4526,10652,4723,3393,3826,3765,3542,10609,10728,10805,10880,10883,10922,3910,3455,4695,10499,10502,10528,10649,4711,3899,3676,4040,3501,3502,3476,4692,4638,4182,3473,10618,10715,10866,3474,3475,10700,4691,10539,10568,10657,10773,3627,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,3494,4265,4702,4683,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,4720,4721,10708,10811,3932,4718,10544,10547,10910,3908,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525])). % 192.26/192.38 cnf(11005,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x110051),x110051))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11016,plain, % 192.26/192.38 (~P1(f295(f295(f176(f911(x110161,f911(x110162,a897))),x110163),x110164))), % 192.26/192.38 inference(rename_variables,[],[4721])). % 192.26/192.38 cnf(11025,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x110251),f295(a119,x110251)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(11027,plain, % 192.26/192.38 (P1(f295(f295(f208(a1),f295(f295(f23(a1),x110271),f81(a1))),x110271))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,4454,3318,3380,3341,3324,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3826,3765,3542,10609,10728,10805,10880,10883,10922,3910,3455,4695,10499,10502,10528,10649,10822,4711,3899,3676,4040,3501,3502,3476,4692,4638,4182,3473,10618,10715,10866,3474,11005,3475,10700,10934,4691,10539,10568,10657,10773,3627,4707,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,4265,4702,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,4720,4721,10708,10811,10817,3932,4718,10544,10547,10910,3908,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789])). % 192.26/192.38 cnf(11028,plain, % 192.26/192.38 (P1(f295(f295(f207(a1),x110281),x110281))), % 192.26/192.38 inference(rename_variables,[],[3475])). % 192.26/192.38 cnf(11033,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x110331),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(11046,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x110461),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(11049,plain, % 192.26/192.38 (~P1(f295(f295(f208(f911(x110491,a897)),x110492),f176(f911(x110491,a897))))), % 192.26/192.38 inference(rename_variables,[],[4715])). % 192.26/192.38 cnf(11052,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x110521),x110521))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11055,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x110551),x110551))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11069,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x110691),f295(f295(f23(a902),x110691),x110692)))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,4454,3318,3380,3341,3324,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3826,3765,3542,10609,10728,10805,10880,10883,10922,3910,3455,4695,10499,10502,10528,10649,10822,11033,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,3475,10700,10934,4691,10539,10568,10657,10773,10800,3627,4707,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,4265,4702,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,4720,4721,10708,10811,10817,3932,4718,10544,10547,10910,3908,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944])). % 192.26/192.38 cnf(11070,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x110701),x110701))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(11079,plain, % 192.26/192.38 (~P1(f295(f295(f297(x110791),x110792),f176(f911(x110791,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11086,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x110861),x110861))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11089,plain, % 192.26/192.38 (~P1(f295(f295(f297(x110891),x110892),f176(f911(x110891,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11092,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x110921,a897)),f295(f276(x110922,x110921,x110923),f295(f278(x110922,x110921,x110923),x110924))),x110924))), % 192.26/192.38 inference(rename_variables,[],[4319])). % 192.26/192.38 cnf(11101,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x111011,a897)),f295(f160(x111011),f295(f125(x111011,x111012),x111013))),f295(f160(x111011),x111013)))), % 192.26/192.38 inference(rename_variables,[],[4100])). % 192.26/192.38 cnf(11104,plain, % 192.26/192.38 (E(f295(f276(x111041,x111041,f36(x111041)),x111042),x111042)), % 192.26/192.38 inference(rename_variables,[],[3532])). % 192.26/192.38 cnf(11109,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),f2(a902)),x111091))), % 192.26/192.38 inference(rename_variables,[],[3494])). % 192.26/192.38 cnf(11112,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x111121),x111121))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11115,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x111151),x111151))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(11124,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x111241),x111241))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(11127,plain, % 192.26/192.38 (E(f98(x111271,f299(x111271,x111272),f521(x111271,x111272),f740(x111271,x111272)),x111272)), % 192.26/192.38 inference(rename_variables,[],[3788])). % 192.26/192.38 cnf(11130,plain, % 192.26/192.38 (E(f98(x111301,f299(x111301,x111302),f521(x111301,x111302),f740(x111301,x111302)),x111302)), % 192.26/192.38 inference(rename_variables,[],[3788])). % 192.26/192.38 cnf(11144,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x111441),f295(f295(f84(a902),x111441),x111441)))), % 192.26/192.38 inference(rename_variables,[],[3732])). % 192.26/192.38 cnf(11150,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x111501),f295(a119,f295(f295(f83(a902),x111502),x111501))))), % 192.26/192.38 inference(rename_variables,[],[3908])). % 192.26/192.38 cnf(11157,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x111571),x111571))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11160,plain, % 192.26/192.38 (P1(f295(f295(f207(a1),x111601),x111601))), % 192.26/192.38 inference(rename_variables,[],[3475])). % 192.26/192.38 cnf(11164,plain, % 192.26/192.38 (P1(f295(f295(f297(f910(x111641,x111641)),x111642),f273(x111641,f214(f911(f910(x111641,x111641),a897)))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3788,11127,11130,4454,3318,3380,3341,3324,3532,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,4707,11079,11089,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,4265,4702,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598])). % 192.26/192.38 cnf(11165,plain, % 192.26/192.38 (P1(f295(f295(f297(x111651),x111652),f214(f911(x111651,a897))))), % 192.26/192.38 inference(rename_variables,[],[3627])). % 192.26/192.38 cnf(11168,plain, % 192.26/192.38 (E(f295(f295(f74(x111681,x111682,x111681),x111683),f36(x111681)),x111683)), % 192.26/192.38 inference(rename_variables,[],[3714])). % 192.26/192.38 cnf(11176,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x111761),f2(a902)))), % 192.26/192.38 inference(rename_variables,[],[4695])). % 192.26/192.38 cnf(11178,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x111781,a897)),x111782),f41(f911(x111781,a897),f295(f274(x111781),x111782))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,4707,11079,11089,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,4265,4702,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651])). % 192.26/192.38 cnf(11191,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),f2(a902)),x111911))), % 192.26/192.38 inference(rename_variables,[],[3494])). % 192.26/192.38 cnf(11198,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x111981),x111981))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11207,plain, % 192.26/192.38 (~P1(f295(f295(f297(x112071),x112072),f176(f911(x112071,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11209,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x112091,a897)),f42(f911(x112091,a897),f295(f274(x112091),x112092))),x112092))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,4707,11079,11089,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924])). % 192.26/192.38 cnf(11211,plain, % 192.26/192.38 (E(f295(f295(f108(f911(x112111,a897)),f295(f295(f108(f911(x112111,a897)),x112112),f295(f82(f911(x112111,a897)),x112113))),x112113),f176(f911(x112111,a897)))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,4707,11079,11089,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926])). % 192.26/192.38 cnf(11214,plain, % 192.26/192.38 (P1(f295(f295(f297(f903(x112141)),x112142),f150(x112141,f214(f911(x112141,a897)))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,4707,11079,11089,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934])). % 192.26/192.38 cnf(11215,plain, % 192.26/192.38 (P1(f295(f295(f297(x112151),x112152),f214(f911(x112151,a897))))), % 192.26/192.38 inference(rename_variables,[],[3627])). % 192.26/192.38 cnf(11218,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x112181),f903(x112181))),f295(f295(f217(f903(x112181),f903(x112181)),x112182),f120(x112181))),f134(x112181,x112183)))), % 192.26/192.38 inference(rename_variables,[],[4723])). % 192.26/192.38 cnf(11224,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(x112241,x112241)),x112242),f213(x112241,f176(f911(x112241,a897)))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,4707,11079,11089,11207,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069])). % 192.26/192.38 cnf(11225,plain, % 192.26/192.38 (~P1(f295(f295(f297(x112251),x112252),f176(f911(x112251,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11227,plain, % 192.26/192.38 (~P1(f295(f295(f297(x112271),x112272),f295(f278(x112271,x112273,x112274),f176(f911(x112273,a897)))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,4707,11079,11089,11207,11225,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101])). % 192.26/192.38 cnf(11228,plain, % 192.26/192.38 (~P1(f295(f295(f297(x112281),x112282),f176(f911(x112281,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11231,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x112311,a897)),x112312),f295(f295(f275(x112311),x112313),x112312)))), % 192.26/192.38 inference(rename_variables,[],[3906])). % 192.26/192.38 cnf(11234,plain, % 192.26/192.38 (P1(f295(f295(f207(a902),x112341),x112341))), % 192.26/192.38 inference(rename_variables,[],[3474])). % 192.26/192.38 cnf(11237,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x112371,a897)),x112372),f295(f295(f275(x112371),x112373),x112372)))), % 192.26/192.38 inference(rename_variables,[],[3906])). % 192.26/192.38 cnf(11240,plain, % 192.26/192.38 (E(f295(f276(x112401,x112401,f36(x112401)),x112402),x112402)), % 192.26/192.38 inference(rename_variables,[],[3532])). % 192.26/192.38 cnf(11243,plain, % 192.26/192.38 (E(f34(x112431,x112432,x112433,x112434,x112435,x112436,x112437,x112438,x112439,a25),x112432)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(11246,plain, % 192.26/192.38 (E(f34(x112461,x112462,x112463,x112464,x112465,x112466,x112467,x112468,x112469,a25),x112462)), % 192.26/192.38 inference(rename_variables,[],[4586])). % 192.26/192.38 cnf(11256,plain, % 192.26/192.38 (E(f295(x112561,f338(x112561,x112562,f295(x112561,x112563))),f295(x112561,x112563))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,10968,11243,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,11215,4707,11079,11089,11207,11225,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,4722,4058,3906,11231,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387])). % 192.26/192.38 cnf(11259,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x112591,a897)),x112592),f295(f295(f275(x112591),x112593),x112592)))), % 192.26/192.38 inference(rename_variables,[],[3906])). % 192.26/192.38 cnf(11266,plain, % 192.26/192.38 (~E(f295(a119,x112661),f2(a902))), % 192.26/192.38 inference(rename_variables,[],[4624])). % 192.26/192.38 cnf(11269,plain, % 192.26/192.38 (~P1(f295(f63(x112691,x112692,f176(f911(x112691,a897))),x112693))), % 192.26/192.38 inference(rename_variables,[],[4717])). % 192.26/192.38 cnf(11273,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),f295(a119,x112731)),x112731)),f273(a902,a286)))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,10968,11243,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,4624,10689,10791,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4643,10522,10686,3375,10590,4569,4226,4089,4526,10652,4723,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,3827,4182,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,11215,4707,11079,11089,11207,11225,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,4058,3906,11231,11237,3907,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533])). % 192.26/192.38 cnf(11282,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x112821),f295(a119,x112821)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(11289,plain, % 192.26/192.38 (P24(x112891,x112892,x112893,f176(f911(x112891,a897)))), % 192.26/192.38 inference(rename_variables,[],[3763])). % 192.26/192.38 cnf(11292,plain, % 192.26/192.38 (~P1(f295(f295(f297(x112921),x112922),f176(f911(x112921,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11295,plain, % 192.26/192.38 (~P1(f295(f295(f297(x112951),x112952),f176(f911(x112951,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11298,plain, % 192.26/192.38 (~P1(f295(f295(f297(x112981),x112982),f176(f911(x112981,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11301,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(x113011,x113011)),f295(f295(f217(x113011,x113011),x113012),x113013)),f142(x113011,f120(f911(x113011,a902)))))), % 192.26/192.38 inference(rename_variables,[],[4722])). % 192.26/192.38 cnf(11304,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(x113041,x113041)),f295(f295(f217(x113041,x113041),x113042),x113043)),f142(x113041,f120(f911(x113041,a902)))))), % 192.26/192.38 inference(rename_variables,[],[4722])). % 192.26/192.38 cnf(11309,plain, % 192.26/192.38 (P1(f295(f295(f297(f910(x113091,x113091)),f295(f295(f217(x113091,x113091),x113092),x113092)),f273(x113091,x113093)))), % 192.26/192.38 inference(rename_variables,[],[4089])). % 192.26/192.38 cnf(11312,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x113121,a897)),f295(f160(x113121),f162(x113121,x113122,x113123))),f295(f160(x113121),x113122)))), % 192.26/192.38 inference(rename_variables,[],[4144])). % 192.26/192.38 cnf(11315,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x113151,a897)),x113152),f214(f911(x113151,a897))))), % 192.26/192.38 inference(rename_variables,[],[3845])). % 192.26/192.38 cnf(11331,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x113311,a897)),f176(f911(x113311,a897))),x113312))), % 192.26/192.38 inference(rename_variables,[],[3907])). % 192.26/192.38 cnf(11342,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x113421),f903(x113421))),f295(f295(f217(f903(x113421),f903(x113421)),x113422),f120(x113421))),f136(x113421,x113423)))), % 192.26/192.38 inference(rename_variables,[],[4724])). % 192.26/192.38 cnf(11355,plain, % 192.26/192.38 (~E(f295(a119,x113551),x113551)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(11358,plain, % 192.26/192.38 (~E(f295(a119,x113581),x113581)), % 192.26/192.38 inference(rename_variables,[],[4612])). % 192.26/192.38 cnf(11364,plain, % 192.26/192.38 (P1(f295(f295(f297(f910(f903(x113641),f903(x113641))),f295(f295(f217(f903(x113641),f903(x113641)),f120(x113641)),f120(x113641))),f295(f295(f255(f903(x113641),f903(x113641),f903(x113641)),f147(x113641,x113642)),f273(f903(x113641),f147(x113641,x113642)))))), % 192.26/192.38 inference(scs_inference,[],[4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,4724,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,11215,4707,11079,11089,11207,11225,11228,11292,11295,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,4058,3906,11231,11237,3907,10952,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774])). % 192.26/192.38 cnf(11367,plain, % 192.26/192.38 (~E(f295(a119,x113671),f2(a902))), % 192.26/192.38 inference(rename_variables,[],[4624])). % 192.26/192.38 cnf(11370,plain, % 192.26/192.38 (~E(f295(a119,x113701),f2(a902))), % 192.26/192.38 inference(rename_variables,[],[4624])). % 192.26/192.38 cnf(11373,plain, % 192.26/192.38 (~E(f295(a119,x113731),f2(a902))), % 192.26/192.38 inference(rename_variables,[],[4624])). % 192.26/192.38 cnf(11378,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x113781,a897)),x113782),x113782))), % 192.26/192.38 inference(rename_variables,[],[3761])). % 192.26/192.38 cnf(11385,plain, % 192.26/192.38 (P24(x113851,x113851,f36(x113851),x113852)), % 192.26/192.38 inference(rename_variables,[],[3707])). % 192.26/192.38 cnf(11387,plain, % 192.26/192.38 (P1(f295(f295(f297(f910(a902,a902)),f295(f295(f217(a902,a902),x113871),f295(a119,x113871))),f295(f295(f255(a902,a902,a902),a286),f273(a902,a286))))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,4724,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,3627,10886,11165,11215,4707,11079,11089,11207,11225,11228,11292,11295,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,4058,3906,11231,11237,3761,3907,10952,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857])). % 192.26/192.38 cnf(11390,plain, % 192.26/192.38 (~E(f295(f276(x113901,f911(x113901,a897),x113902),x113903),f295(f274(x113901),x113903))), % 192.26/192.38 inference(rename_variables,[],[4705])). % 192.26/192.38 cnf(11395,plain, % 192.26/192.38 (~P1(f295(f295(f208(a902),x113951),x113951))), % 192.26/192.38 inference(rename_variables,[],[4691])). % 192.26/192.38 cnf(11398,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x113981,a897)),x113982),f214(f911(x113981,a897))))), % 192.26/192.38 inference(rename_variables,[],[3845])). % 192.26/192.38 cnf(11412,plain, % 192.26/192.38 (~P1(f295(f295(f297(x114121),x114122),f176(f911(x114121,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11415,plain, % 192.26/192.38 (~P1(f295(f295(f207(a902),f295(a119,x114151)),x114151))), % 192.26/192.38 inference(rename_variables,[],[4704])). % 192.26/192.38 cnf(11422,plain, % 192.26/192.38 (~P1(f295(f295(f297(x114221),x114222),f176(f911(x114221,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11430,plain, % 192.26/192.38 (~P1(f295(f295(f297(a902),f295(a119,f295(f131(a902,a902,f83(a902),f2(a902)),x114301))),f295(f160(a902),x114301)))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,4724,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,4058,3906,11231,11237,3761,3907,10952,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018])). % 192.26/192.38 cnf(11431,plain, % 192.26/192.38 (~P1(f295(f295(f207(a902),f295(a119,x114311)),x114311))), % 192.26/192.38 inference(rename_variables,[],[4704])). % 192.26/192.38 cnf(11434,plain, % 192.26/192.38 (~P1(f295(f295(f297(x114341),x114342),f176(f911(x114341,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11442,plain, % 192.26/192.38 (E(f295(f125(x114421,f214(f911(x114422,a897))),f783(x114423,x114424,f295(f295(f140(x114421),x114424),x114423),f214(f911(x114422,a897)),x114421)),x114423)), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,4724,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,4058,3906,11231,11237,3761,3907,10952,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102])). % 192.26/192.38 cnf(11447,plain, % 192.26/192.38 (P1(f295(f295(f297(f910(x114471,x114471)),f295(f295(f217(x114471,x114471),x114472),x114472)),f273(x114471,x114473)))), % 192.26/192.38 inference(rename_variables,[],[4089])). % 192.26/192.38 cnf(11450,plain, % 192.26/192.38 (P1(f295(f295(f297(x114501),x114502),f214(f911(x114501,a897))))), % 192.26/192.38 inference(rename_variables,[],[3627])). % 192.26/192.38 cnf(11453,plain, % 192.26/192.38 (P1(f295(f295(f297(x114531),x114532),f214(f911(x114531,a897))))), % 192.26/192.38 inference(rename_variables,[],[3627])). % 192.26/192.38 cnf(11458,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x114581),f903(x114581))),f295(f295(f217(f903(x114581),f903(x114581)),x114582),f120(x114581))),f134(x114581,x114583)))), % 192.26/192.38 inference(rename_variables,[],[4723])). % 192.26/192.38 cnf(11461,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x114611),f903(x114611))),f295(f295(f217(f903(x114611),f903(x114611)),x114612),f120(x114611))),f136(x114611,x114613)))), % 192.26/192.38 inference(rename_variables,[],[4724])). % 192.26/192.38 cnf(11464,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x114641),f903(x114641))),f295(f295(f217(f903(x114641),f903(x114641)),x114642),f120(x114641))),f146(x114641,x114643)))), % 192.26/192.38 inference(rename_variables,[],[4725])). % 192.26/192.38 cnf(11466,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x114661),f903(x114661))),f295(f295(f217(f903(x114661),f903(x114661)),f120(x114661)),x114662)),f295(f253(f903(x114661),f903(x114661)),f134(x114661,x114663))))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,11458,4724,11342,4725,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,4715,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,4058,3906,11231,11237,3761,3907,10952,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244])). % 192.26/192.38 cnf(11469,plain, % 192.26/192.38 (~P1(f295(f295(f208(f911(x114691,a897)),x114692),f176(f911(x114691,a897))))), % 192.26/192.38 inference(rename_variables,[],[4715])). % 192.26/192.38 cnf(11471,plain, % 192.26/192.38 (~P1(f295(f295(f297(x114711),x114712),f295(f276(x114713,x114711,x114714),f176(f911(x114713,a897)))))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,11458,4724,11342,4725,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,4715,11049,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,4058,3906,11231,11237,3761,3907,10952,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267])). % 192.26/192.38 cnf(11472,plain, % 192.26/192.38 (~P1(f295(f295(f297(x114721),x114722),f176(f911(x114721,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11478,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x114781,a897)),x114782),f295(f295(f117(f911(x114781,a897)),x114783),f214(f911(x114781,a897)))))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,11458,4724,11342,4725,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,4715,11049,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,4058,3906,11231,11237,3761,3907,10952,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297])). % 192.26/192.38 cnf(11479,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x114791,a897)),x114792),f214(f911(x114791,a897))))), % 192.26/192.38 inference(rename_variables,[],[3845])). % 192.26/192.38 cnf(11486,plain, % 192.26/192.38 (~P1(f295(f295(f297(x114861),x114862),f176(f911(x114861,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11489,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(x114891,x114891)),f295(f295(f217(x114891,x114891),x114892),x114893)),f142(x114891,f120(f911(x114891,a902)))))), % 192.26/192.38 inference(rename_variables,[],[4722])). % 192.26/192.38 cnf(11492,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x114921,a897)),x114922),x114922))), % 192.26/192.38 inference(rename_variables,[],[3761])). % 192.26/192.38 cnf(11495,plain, % 192.26/192.38 (~P1(f295(f295(f297(x114951),x114952),f176(f911(x114951,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11497,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x114971,a897)),f295(f252(x114972,x114971,f176(f911(f910(x114972,x114971),a897))),x114973)),x114974))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,4526,10652,4723,11218,11458,4724,11342,4725,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,4715,11049,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,4058,3906,11231,11237,3761,11378,3907,10952,11331,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462])). % 192.26/192.38 cnf(11498,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x114981,a897)),f176(f911(x114981,a897))),x114982))), % 192.26/192.38 inference(rename_variables,[],[3907])). % 192.26/192.38 cnf(11501,plain, % 192.26/192.38 (P1(f295(f295(f297(f910(x115011,x115011)),f295(f295(f217(x115011,x115011),x115012),x115012)),f273(x115011,x115013)))), % 192.26/192.38 inference(rename_variables,[],[4089])). % 192.26/192.38 cnf(11503,plain, % 192.26/192.38 (~P34(x115031,x115032,x115033,f295(f295(f143(x115034,x115031),x115035),f295(a119,f120(x115034))),f120(x115032))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,11447,4526,10652,4723,11218,11458,4724,11342,4725,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,4715,11049,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,4058,3906,11231,11237,3761,11378,3907,10952,11331,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471])). % 192.26/192.38 cnf(11505,plain, % 192.26/192.38 (~E(f295(f295(f108(f911(f910(f903(x115051),f903(x115051)),a897)),f295(f253(f903(x115051),f903(x115051)),f147(x115051,x115052))),f273(f903(x115051),f147(x115051,x115052))),f176(f911(f910(f903(x115051),f903(x115051)),a897)))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,11447,4526,10652,4723,11218,11458,4724,11342,4725,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,4715,11049,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,4058,3906,11231,11237,3761,11378,3907,10952,11331,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496])). % 192.26/192.38 cnf(11507,plain, % 192.26/192.38 (P34(x115071,x115072,x115073,f295(f295(f143(x115074,x115071),x115075),f34(x115076,f120(x115074),x115077,x115078,x115079,x1150710,x1150711,x1150712,x1150713,a25)),f120(x115072))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,11447,4526,10652,4723,11218,11458,4724,11342,4725,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,4715,11049,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,4058,3906,11231,11237,3761,11378,3907,10952,11331,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497])). % 192.26/192.38 cnf(11511,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x115111),f903(x115111))),f295(f295(f217(f903(x115111),f903(x115111)),x115112),f120(x115111))),f295(f253(f903(x115111),f903(x115111)),f146(x115111,x115113))))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,11447,4526,10652,4723,11218,11458,4724,11342,4725,11464,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,4715,11049,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,4058,3906,11231,11237,3761,11378,3907,10952,11331,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580])). % 192.26/192.38 cnf(11512,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x115121),f903(x115121))),f295(f295(f217(f903(x115121),f903(x115121)),x115122),f120(x115121))),f146(x115121,x115123)))), % 192.26/192.38 inference(rename_variables,[],[4725])). % 192.26/192.38 cnf(11519,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x115191),f903(x115191))),f295(f295(f217(f903(x115191),f903(x115191)),f120(x115191)),x115192)),f134(x115191,x115193)))), % 192.26/192.38 inference(rename_variables,[],[4726])). % 192.26/192.38 cnf(11524,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f911(x115241,a897),f911(x115241,a897))),f295(f295(f217(f911(x115241,a897),f911(x115241,a897)),x115242),f176(f911(x115241,a897)))),f283(x115241)))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,11447,4526,10652,4723,11218,11458,4724,11342,4725,11464,4726,4727,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,4715,11049,11469,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,4058,3906,11231,11237,3761,11378,3907,10952,11331,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619])). % 192.26/192.38 cnf(11527,plain, % 192.26/192.38 (P1(f295(f295(f297(x115271),x115272),f214(f911(x115271,a897))))), % 192.26/192.38 inference(rename_variables,[],[3627])). % 192.26/192.38 cnf(11532,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x115321,a897)),f176(f911(x115321,a897))),x115322))), % 192.26/192.38 inference(rename_variables,[],[3907])). % 192.26/192.38 cnf(11535,plain, % 192.26/192.38 (~P1(f295(f295(f297(x115351),x115352),f176(f911(x115351,a897))))), % 192.26/192.38 inference(rename_variables,[],[4707])). % 192.26/192.38 cnf(11538,plain, % 192.26/192.38 (P1(f295(f295(f208(a902),x115381),f295(a119,x115381)))), % 192.26/192.38 inference(rename_variables,[],[3542])). % 192.26/192.38 cnf(11541,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x115411,a897)),x115412),f214(f911(x115411,a897))))), % 192.26/192.38 inference(rename_variables,[],[3845])). % 192.26/192.38 cnf(11546,plain, % 192.26/192.38 (P1(f295(f295(f207(f911(x115461,a897)),f176(f911(x115461,a897))),x115462))), % 192.26/192.38 inference(rename_variables,[],[3907])). % 192.26/192.38 cnf(11548,plain, % 192.26/192.38 (~P1(f295(f67(a902,x115481,x115482,x115483,f214(f911(a902,a897))),x115484))), % 192.26/192.38 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,4705,3579,3375,10590,4569,4226,4089,11309,11447,4526,10652,4723,11218,11458,4724,11342,4725,11464,4726,4727,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,3627,10886,11165,11215,11450,11453,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,3536,10916,10946,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,4058,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,4228,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742])). % 192.26/192.38 cnf(11559,plain, % 192.26/192.38 (P1(f295(f214(f911(x115591,a897)),x115592))), % 192.26/192.38 inference(rename_variables,[],[3536])). % 192.26/192.38 cnf(11567,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x115671),f903(x115671))),f295(f295(f217(f903(x115671),f903(x115671)),x115672),f120(x115671))),f134(x115671,x115673)))), % 192.26/192.38 inference(rename_variables,[],[4723])). % 192.26/192.38 cnf(11570,plain, % 192.26/192.38 (~P1(f295(f295(f297(f910(f903(x115701),f903(x115701))),f295(f295(f217(f903(x115701),f903(x115701)),x115702),f120(x115701))),f136(x115701,x115703)))), % 192.26/192.38 inference(rename_variables,[],[4724])). % 192.26/192.39 cnf(11573,plain, % 192.26/192.39 (~E(f295(f295(f140(x115731),x115732),x115733),x115733)), % 192.26/192.39 inference(rename_variables,[],[4643])). % 192.26/192.39 cnf(11576,plain, % 192.26/192.39 (~E(f295(a119,x115761),x115761)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11579,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x115791),x115791))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(11582,plain, % 192.26/192.39 (~P1(f295(f295(f297(x115821),x115822),f176(f911(x115821,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(11587,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(f903(x115871),f903(x115871))),f295(f295(f217(f903(x115871),f903(x115871)),x115872),x115872)),f147(x115871,f273(x115871,x115873))))), % 192.26/192.39 inference(rename_variables,[],[4220])). % 192.26/192.39 cnf(11590,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(f903(x115901),f903(x115901))),f295(f295(f217(f903(x115901),f903(x115901)),x115902),f120(x115901))),f134(x115901,x115903)))), % 192.26/192.39 inference(rename_variables,[],[4723])). % 192.26/192.39 cnf(11598,plain, % 192.26/192.39 (~P1(f295(f295(f297(x115981),x115982),f176(f911(x115981,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(11601,plain, % 192.26/192.39 (~P1(f295(f295(f297(x116011),x116012),f176(f911(x116011,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(11604,plain, % 192.26/192.39 (P1(f295(f295(f297(x116041),x116042),f214(f911(x116041,a897))))), % 192.26/192.39 inference(rename_variables,[],[3627])). % 192.26/192.39 cnf(11607,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x116071),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(11612,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(x116121,x116121)),f295(f295(f217(x116121,x116121),x116122),x116123)),f142(x116121,f120(f911(x116121,a902)))))), % 192.26/192.39 inference(rename_variables,[],[4722])). % 192.26/192.39 cnf(11615,plain, % 192.26/192.39 (~E(f295(f276(x116151,f911(x116151,a897),x116152),x116153),f295(f274(x116151),x116153))), % 192.26/192.39 inference(rename_variables,[],[4705])). % 192.26/192.39 cnf(11618,plain, % 192.26/192.39 (~E(f295(f276(x116181,f911(x116181,a897),x116182),x116183),f295(f274(x116181),x116183))), % 192.26/192.39 inference(rename_variables,[],[4705])). % 192.26/192.39 cnf(11621,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(f903(x116211),f903(x116211))),f295(f295(f217(f903(x116211),f903(x116211)),x116212),f120(x116211))),f134(x116211,x116213)))), % 192.26/192.39 inference(rename_variables,[],[4723])). % 192.26/192.39 cnf(11627,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(f903(x116271),f903(x116271))),f295(f295(f217(f903(x116271),f903(x116271)),x116272),f120(x116271))),f134(x116271,x116273)))), % 192.26/192.39 inference(rename_variables,[],[4723])). % 192.26/192.39 cnf(11630,plain, % 192.26/192.39 (~P1(f295(f295(f297(x116301),x116302),f176(f911(x116301,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(11632,plain, % 192.26/192.39 (P1(f295(f295(f235(x116321,x116322,x116323,x116324,x116325,f207(f911(x116326,a897))),f252(x116327,x116326,f176(f911(f910(x116327,x116326),a897)))),x116328))), % 192.26/192.39 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,4705,11390,11615,3579,3375,10590,4569,4226,4089,11309,11447,4526,10652,4723,11218,11458,11567,11590,11621,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4220,11587,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,3627,10886,11165,11215,11450,11453,11527,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,3536,10916,10946,10955,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,11489,4058,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,4228,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189])). % 192.26/192.39 cnf(11634,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(x116341,x116342)),f295(f295(f217(x116341,x116342),f295(x116343,x116344)),f295(x116345,x116344))),f295(f276(f910(x116346,x116346),f910(x116341,x116342),f229(x116346,x116341,x116346,x116342,x116343,x116345)),f273(x116346,x116347))))), % 192.26/192.39 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,4705,11390,11615,3579,3375,10590,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4220,11587,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,3627,10886,11165,11215,11450,11453,11527,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,3536,10916,10946,10955,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,11489,4058,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,4228,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278])). % 192.26/192.39 cnf(11637,plain, % 192.26/192.39 (E(f34(x116371,x116372,x116373,x116374,x116375,x116376,x116377,x116378,x116379,a25),x116372)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11646,plain, % 192.26/192.39 (~P1(f295(f295(f297(x116461),x116462),f176(f911(x116461,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(11649,plain, % 192.26/192.39 (~P1(f295(f295(f297(x116491),x116492),f176(f911(x116491,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(11652,plain, % 192.26/192.39 (P1(f295(f295(f297(x116521),f295(x116522,x116523)),f295(f276(x116524,x116521,x116522),f214(f911(x116524,a897)))))), % 192.26/192.39 inference(rename_variables,[],[4058])). % 192.26/192.39 cnf(11654,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(x116541,x116542)),x116543),f295(f276(f910(x116544,x116544),f910(x116541,x116542),f229(x116544,x116541,x116544,x116542,x116545,x116546)),f142(x116544,f120(f911(x116544,a902))))))), % 192.26/192.39 inference(scs_inference,[],[3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,4624,10689,10791,11266,11367,11370,3800,3788,11127,11130,4454,3714,11168,3318,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,4705,11390,11615,3579,3375,10590,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,3910,3455,4695,10499,10502,10528,10649,10822,11033,11046,11176,4711,3899,3676,4040,3501,3502,3476,4692,4638,4220,11587,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,3627,10886,11165,11215,11450,11453,11527,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,3536,10916,10946,10955,3566,3973,3914,10571,4704,10519,10904,10907,11415,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,4722,11301,11304,11489,11612,4058,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,4319,4228,3932,4718,10544,10547,10910,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448])). % 192.26/192.39 cnf(11655,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(x116551,x116551)),f295(f295(f217(x116551,x116551),x116552),x116553)),f142(x116551,f120(f911(x116551,a902)))))), % 192.26/192.39 inference(rename_variables,[],[4722])). % 192.26/192.39 cnf(11661,plain, % 192.26/192.39 (E(f34(x116611,x116612,x116613,x116614,x116615,x116616,x116617,x116618,x116619,a25),x116612)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11664,plain, % 192.26/192.39 (E(f34(x116641,x116642,x116643,x116644,x116645,x116646,x116647,x116648,x116649,a25),x116642)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11667,plain, % 192.26/192.39 (~E(f295(a119,x116671),x116671)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11674,plain, % 192.26/192.39 (~E(f295(a119,x116741),x116741)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11677,plain, % 192.26/192.39 (E(f34(x116771,x116772,x116773,x116774,x116775,x116776,x116777,x116778,x116779,a25),x116772)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11678,plain, % 192.26/192.39 (E(f35(x116781,x116782,x116783,x116784,x116785,x116786,x116787,x116788,x116789,a25),x116782)), % 192.26/192.39 inference(rename_variables,[],[4587])). % 192.26/192.39 cnf(11681,plain, % 192.26/192.39 (E(f34(x116811,x116812,x116813,x116814,x116815,x116816,x116817,x116818,x116819,a25),x116812)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11688,plain, % 192.26/192.39 (~E(f295(a119,x116881),x116881)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11693,plain, % 192.26/192.39 (~E(f295(f295(f83(a1),x116931),x116931),a104)), % 192.26/192.39 inference(rename_variables,[],[4641])). % 192.26/192.39 cnf(11700,plain, % 192.26/192.39 (E(f295(f295(f23(a902),f2(a902)),x117001),f2(a902))), % 192.26/192.39 inference(rename_variables,[],[3394])). % 192.26/192.39 cnf(11703,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x117031),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(11710,plain, % 192.26/192.39 (E(f295(f295(f83(a1),f295(f295(f84(a1),x117101),f295(f295(f40(a1),x117102),x117101))),f46(a1,x117102,x117101)),x117102)), % 192.26/192.39 inference(rename_variables,[],[4002])). % 192.26/192.39 cnf(11724,plain, % 192.26/192.39 (E(f34(x117241,x117242,x117243,x117244,x117245,x117246,x117247,x117248,x117249,a25),x117242)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11727,plain, % 192.26/192.39 (E(f34(x117271,x117272,x117273,x117274,x117275,x117276,x117277,x117278,x117279,a25),x117272)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11730,plain, % 192.26/192.39 (E(f34(x117301,x117302,x117303,x117304,x117305,x117306,x117307,x117308,x117309,a25),x117302)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11733,plain, % 192.26/192.39 (E(f34(x117331,x117332,x117333,x117334,x117335,x117336,x117337,x117338,x117339,a25),x117332)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11736,plain, % 192.26/192.39 (~E(f295(a119,x117361),x117361)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11739,plain, % 192.26/192.39 (~E(f295(a119,x117391),x117391)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11743,plain, % 192.26/192.39 (E(f34(x117431,x117432,x117433,x117434,x117435,x117436,x117437,x117438,x117439,a25),x117432)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11766,plain, % 192.26/192.39 (~P1(f295(f63(x117661,x117662,f176(f911(x117661,a897))),x117663))), % 192.26/192.39 inference(rename_variables,[],[4717])). % 192.26/192.39 cnf(11769,plain, % 192.26/192.39 (~P1(f295(f295(f176(f911(x117691,f911(x117692,a897))),x117693),x117694))), % 192.26/192.39 inference(rename_variables,[],[4721])). % 192.26/192.39 cnf(11772,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),f2(a902)),f295(a119,x117721)))), % 192.26/192.39 inference(rename_variables,[],[3554])). % 192.26/192.39 cnf(11773,plain, % 192.26/192.39 (~E(f295(a119,x117731),x117731)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11776,plain, % 192.26/192.39 (P1(f295(f295(f297(x117761),x117762),f214(f911(x117761,a897))))), % 192.26/192.39 inference(rename_variables,[],[3627])). % 192.26/192.39 cnf(11784,plain, % 192.26/192.39 (E(f34(x117841,x117842,x117843,x117844,x117845,x117846,x117847,x117848,x117849,a25),x117842)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11789,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x117891),x117891))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(11796,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x117961),x117961))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(11797,plain, % 192.26/192.39 (E(f34(x117971,x117972,x117973,x117974,x117975,x117976,x117977,x117978,x117979,a25),x117972)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11810,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x118101),x118102)),x118102))), % 192.26/192.39 inference(rename_variables,[],[4718])). % 192.26/192.39 cnf(11813,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x118131)),f2(a1)))), % 192.26/192.39 inference(rename_variables,[],[4711])). % 192.26/192.39 cnf(11824,plain, % 192.26/192.39 (~E(f295(f295(f140(x118241),x118242),x118243),x118243)), % 192.26/192.39 inference(rename_variables,[],[4643])). % 192.26/192.39 cnf(11825,plain, % 192.26/192.39 (E(f34(x118251,x118252,x118253,x118254,x118255,x118256,x118257,x118258,x118259,a25),x118252)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11828,plain, % 192.26/192.39 (~E(f295(f295(f140(x118281),x118282),x118283),x118283)), % 192.26/192.39 inference(rename_variables,[],[4643])). % 192.26/192.39 cnf(11829,plain, % 192.26/192.39 (E(f34(x118291,x118292,x118293,x118294,x118295,x118296,x118297,x118298,x118299,a25),x118292)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11833,plain, % 192.26/192.39 (~E(f295(f295(f108(a902),f295(a119,x118331)),x118331),f295(a119,x118331))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,4624,10689,10791,11266,11367,11370,3100,3106,3110,3112,3113,3117,3121,3124,3140,3143,3144,3161,3186,3187,3194,3212,3259,3260,4610,3800,3788,11127,11130,4454,3714,11168,3318,4002,11710,3380,3341,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,4705,11390,11615,11618,3579,3374,3375,10590,10919,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4641,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,3910,3455,3554,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,4711,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,10929,11789,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,3627,10886,11165,11215,11450,11453,11527,11604,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,3536,10916,10946,10955,3566,3973,3914,10571,4704,10519,10904,10907,11415,11431,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,4722,11301,11304,11489,11612,4058,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,11016,4319,4228,3932,4718,10544,10547,10910,10913,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536])). % 192.26/192.39 cnf(11840,plain, % 192.26/192.39 (E(f34(x118401,x118402,x118403,x118404,x118405,x118406,x118407,x118408,x118409,a25),x118402)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11845,plain, % 192.26/192.39 (E(f34(x118451,x118452,x118453,x118454,x118455,x118456,x118457,x118458,x118459,a25),x118452)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11848,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x118481)),f2(a1)))), % 192.26/192.39 inference(rename_variables,[],[4711])). % 192.26/192.39 cnf(11851,plain, % 192.26/192.39 (E(f34(x118511,x118512,x118513,x118514,x118515,x118516,x118517,x118518,x118519,a25),x118512)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11854,plain, % 192.26/192.39 (~E(f295(a119,x118541),x118541)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11863,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x118631),x118631))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(11884,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x118841),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(11885,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x118851),f295(a119,x118851)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(11888,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x118881)),f2(a1)))), % 192.26/192.39 inference(rename_variables,[],[4711])). % 192.26/192.39 cnf(11891,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x118911)),f2(a1)))), % 192.26/192.39 inference(rename_variables,[],[4711])). % 192.26/192.39 cnf(11893,plain, % 192.26/192.39 (~P14(x118931,f297(f911(x118932,a897)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,4624,10689,10791,11266,11367,11370,3100,3106,3108,3110,3112,3113,3117,3121,3122,3124,3125,3140,3143,3144,3161,3186,3187,3194,3212,3259,3260,4610,3800,3788,11127,11130,4454,3714,11168,3318,4002,11710,3380,3341,3336,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,4705,11390,11615,11618,3579,3374,3375,10590,10919,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4641,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,3910,3455,3554,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,4711,11813,11848,11888,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,10929,11789,3474,11005,11052,11055,11086,11112,11157,11198,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,3627,10886,11165,11215,11450,11453,11527,11604,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,3536,10916,10946,10955,3575,3566,3973,3914,10571,4704,10519,10904,10907,11415,11431,3494,10949,11109,4265,4702,3979,4683,4686,3448,3452,4685,4684,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,4722,11301,11304,11489,11612,4058,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,11016,4319,4228,3932,4718,10544,10547,10910,10913,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696])). % 192.26/192.39 cnf(11894,plain, % 192.26/192.39 (~P1(f295(f295(f297(x118941),x118942),f176(f911(x118941,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(11895,plain, % 192.26/192.39 (P1(f295(f295(f297(f911(x118951,a897)),x118952),f295(f274(x118951),x118952)))), % 192.26/192.39 inference(rename_variables,[],[3827])). % 192.26/192.39 cnf(11910,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x119101)),x119101))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(11911,plain, % 192.26/192.39 (~E(f295(a119,x119111),x119111)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11921,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x119211),x119212)),x119211))), % 192.26/192.39 inference(rename_variables,[],[4719])). % 192.26/192.39 cnf(11924,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x119241)),f2(a1)))), % 192.26/192.39 inference(rename_variables,[],[4711])). % 192.26/192.39 cnf(11927,plain, % 192.26/192.39 (~E(f295(a119,x119271),x119271)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(11940,plain, % 192.26/192.39 (P1(f295(f295(f297(x119401),x119402),f295(f295(f275(x119401),x119402),x119403)))), % 192.26/192.39 inference(rename_variables,[],[3774])). % 192.26/192.39 cnf(11941,plain, % 192.26/192.39 (~P1(f295(f295(f207(a1),f2(a1)),f295(f82(a1),f295(f107(a1),f295(a119,x119411)))))), % 192.26/192.39 inference(rename_variables,[],[4720])). % 192.26/192.39 cnf(11944,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),f295(f295(f23(a902),x119441),x119442)),f295(a119,x119441)))), % 192.26/192.39 inference(rename_variables,[],[3910])). % 192.26/192.39 cnf(11947,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f46(a902,x119471,x119472)),x119471))), % 192.26/192.39 inference(rename_variables,[],[3914])). % 192.26/192.39 cnf(11953,plain, % 192.26/192.39 (E(f34(x119531,x119532,x119533,x119534,x119535,x119536,x119537,x119538,x119539,a25),x119532)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11956,plain, % 192.26/192.39 (E(f34(x119561,x119562,x119563,x119564,x119565,x119566,x119567,x119568,x119569,a25),x119562)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11960,plain, % 192.26/192.39 (~E(f295(f295(f140(x119601),x119602),x119603),x119603)), % 192.26/192.39 inference(rename_variables,[],[4643])). % 192.26/192.39 cnf(11963,plain, % 192.26/192.39 (E(f34(x119631,x119632,x119633,x119634,x119635,x119636,x119637,x119638,x119639,a25),x119632)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11966,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x119661)),x119661))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(11967,plain, % 192.26/192.39 (E(f34(x119671,x119672,x119673,x119674,x119675,x119676,x119677,x119678,x119679,a25),x119672)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11976,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x119761),x119761))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(11977,plain, % 192.26/192.39 (E(f34(x119771,x119772,x119773,x119774,x119775,x119776,x119777,x119778,x119779,a25),x119772)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(11980,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f46(a902,x119801,x119802)),x119801))), % 192.26/192.39 inference(rename_variables,[],[3914])). % 192.26/192.39 cnf(11981,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x119811))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(11983,plain, % 192.26/192.39 (~P1(f295(f295(f207(a1),f81(a1)),f2(a1)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,4624,10689,10791,11266,11367,11370,3098,3100,3106,3108,3110,3112,3113,3117,3121,3122,3124,3125,3140,3143,3144,3161,3186,3187,3194,3212,3256,3259,3260,4610,3800,3788,11127,11130,4454,3515,3408,3714,11168,3318,4002,11710,3380,3341,3336,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,3910,3455,3554,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,4711,11813,11848,11888,11891,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,10929,11789,3474,11005,11052,11055,11086,11112,11157,11198,11234,3475,10700,10934,11028,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,3627,10886,11165,11215,11450,11453,11527,11604,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,4704,10519,10904,10907,11415,11431,11910,3494,10949,11109,11191,4265,4702,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,4722,11301,11304,11489,11612,4058,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,4721,10708,10811,10817,11016,4319,4228,3932,4718,10544,10547,10910,10913,4719,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974])). % 192.26/192.39 cnf(11998,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x119981),x119981))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12001,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x120011),x120011))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12004,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x120041),x120041))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12007,plain, % 192.26/192.39 (P1(f295(f295(f297(x120071),f295(x120072,x120073)),f295(f276(x120074,x120071,x120072),f214(f911(x120074,a897)))))), % 192.26/192.39 inference(rename_variables,[],[4058])). % 192.26/192.39 cnf(12008,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x120081)),x120081))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12011,plain, % 192.26/192.39 (P1(f295(f295(f297(x120111),f295(x120112,x120113)),f295(f276(x120114,x120111,x120112),f214(f911(x120114,a897)))))), % 192.26/192.39 inference(rename_variables,[],[4058])). % 192.26/192.39 cnf(12012,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x120121),x120122)),x120122))), % 192.26/192.39 inference(rename_variables,[],[4718])). % 192.26/192.39 cnf(12017,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x120171),x120172)),x120171))), % 192.26/192.39 inference(rename_variables,[],[4719])). % 192.26/192.39 cnf(12020,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x120201),x120201))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12023,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x120231),x120231))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12029,plain, % 192.26/192.39 (P1(f295(f295(f297(x120291),x120292),f214(f911(x120291,a897))))), % 192.26/192.39 inference(rename_variables,[],[3627])). % 192.26/192.39 cnf(12030,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x120301)),x120301))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12033,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x120331),x120331))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12046,plain, % 192.26/192.39 (~P1(f295(f295(f297(x120461),x120462),f176(f911(x120461,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12049,plain, % 192.26/192.39 (E(f295(f177(a905),x120491),f2(a902))), % 192.26/192.39 inference(rename_variables,[],[3312])). % 192.26/192.39 cnf(12052,plain, % 192.26/192.39 (E(f295(f295(f16(x120521,x120522),x120523),x120524),x120523)), % 192.26/192.39 inference(rename_variables,[],[3463])). % 192.26/192.39 cnf(12064,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),f2(a902)),f295(a119,x120641)))), % 192.26/192.39 inference(rename_variables,[],[3554])). % 192.26/192.39 cnf(12067,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x120671),x120671))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12068,plain, % 192.26/192.39 (E(f34(x120681,x120682,x120683,x120684,x120685,x120686,x120687,x120688,x120689,a25),x120682)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12071,plain, % 192.26/192.39 (P1(f295(f62(x120711),f295(f160(x120711),x120712)))), % 192.26/192.39 inference(rename_variables,[],[3514])). % 192.26/192.39 cnf(12074,plain, % 192.26/192.39 (P1(f295(f62(x120741),f295(f160(x120741),x120742)))), % 192.26/192.39 inference(rename_variables,[],[3514])). % 192.26/192.39 cnf(12077,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),f295(f82(a1),f295(f107(a1),x120771))),f295(f107(a1),x120772)))), % 192.26/192.39 inference(rename_variables,[],[3933])). % 192.26/192.39 cnf(12080,plain, % 192.26/192.39 (~P1(f295(f295(f297(x120801),x120802),f176(f911(x120801,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12096,plain, % 192.26/192.39 (~P1(f295(f295(f297(a902),x120961),f295(f249(a902),f2(a902))))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,4660,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,4624,10689,10791,11266,11367,11370,3086,3098,3100,3103,3106,3108,3110,3112,3113,3117,3121,3122,3124,3125,3140,3143,3144,3161,3186,3187,3194,3212,3256,3259,3260,4610,3800,3788,11127,11130,4454,3515,3408,3714,11168,3318,4002,11710,3380,3341,3336,3312,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,3910,11944,3455,3554,11772,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,4711,11813,11848,11888,11891,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,3474,11005,11052,11055,11086,11112,11157,11198,11234,3475,10700,10934,11028,3550,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,3627,10886,11165,11215,11450,11453,11527,11604,11776,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,3494,10949,11109,11191,3933,4265,4702,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,4319,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309])). % 192.26/192.39 cnf(12099,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x120991),x120991))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12100,plain, % 192.26/192.39 (E(f34(x121001,x121002,x121003,x121004,x121005,x121006,x121007,x121008,x121009,a25),x121002)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12103,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x121031),x121031))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12112,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x121121),x121121))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12115,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x121151),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12120,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x121201),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12129,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x121291))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(12130,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x121301)),x121301))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12133,plain, % 192.26/192.39 (~P1(f295(f63(x121331,x121332,f176(f911(x121331,a897))),x121333))), % 192.26/192.39 inference(rename_variables,[],[4717])). % 192.26/192.39 cnf(12136,plain, % 192.26/192.39 (~P1(f295(f63(x121361,x121362,f176(f911(x121361,a897))),x121363))), % 192.26/192.39 inference(rename_variables,[],[4717])). % 192.26/192.39 cnf(12139,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x121391),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12140,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x121401),f295(a119,x121401)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12156,plain, % 192.26/192.39 (P1(f295(f295(f208(a1),f295(f82(a1),f81(a1))),f2(a1)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,4660,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,4624,10689,10791,11266,11367,11370,3086,3098,3100,3103,3106,3108,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3143,3144,3161,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3714,11168,3318,4002,11710,3380,3341,3336,3312,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,3910,11944,3455,3554,11772,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,3474,11005,11052,11055,11086,11112,11157,11198,11234,3475,10700,10934,11028,11160,12103,3550,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,3627,10886,11165,11215,11450,11453,11527,11604,11776,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,3494,10949,11109,11191,11981,3933,4265,4702,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,4319,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613])). % 192.26/192.39 cnf(12159,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x121591)),x121591))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12162,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x121621)),x121621))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12165,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x121651)),x121651))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12168,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x121681)),x121681))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12171,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x121711),x121711))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12174,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x121741),x121741))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12177,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x121771),x121771))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12180,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x121801),x121801))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12197,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x121971),x121971))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12202,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x122021),f295(f77(a1),x122021)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,4660,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,3675,4624,10689,10791,11266,11367,11370,3086,3098,3100,3103,3106,3108,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3143,3144,3161,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3714,11168,3318,4002,11710,3380,3341,3336,3312,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,3910,11944,3455,3554,11772,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,4194,4100,11101,4144,3827,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,3474,11005,11052,11055,11086,11112,11157,11198,11234,3475,10700,10934,11028,11160,12103,12112,3550,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,3627,10886,11165,11215,11450,11453,11527,11604,11776,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,3494,10949,11109,11191,11981,3933,4265,4702,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,4319,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707])). % 192.26/192.39 cnf(12203,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x122031),x122031))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12214,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x122141),x122141))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12217,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(f910(f903(x122171),f903(x122171)),a897)),f147(x122171,x122172)),f273(f903(x122171),f146(x122171,x122172))))), % 192.26/192.39 inference(rename_variables,[],[4151])). % 192.26/192.39 cnf(12224,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x122241),f295(a119,x122241)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12227,plain, % 192.26/192.39 (P1(f295(f295(f297(f911(x122271,a897)),x122272),f295(f274(x122271),x122272)))), % 192.26/192.39 inference(rename_variables,[],[3827])). % 192.26/192.39 cnf(12228,plain, % 192.26/192.39 (~E(f295(a119,x122281),x122281)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12233,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x122331),x122331))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12238,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x122381),x122381))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12249,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x122491,a897)),x122492),f295(f295(f275(x122491),x122493),x122492)))), % 192.26/192.39 inference(rename_variables,[],[3906])). % 192.26/192.39 cnf(12252,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x122521),x122521))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12253,plain, % 192.26/192.39 (~E(f295(a119,x122531),x122531)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12264,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x122641),x122641))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12265,plain, % 192.26/192.39 (~E(f295(a119,x122651),x122651)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12268,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x122681),x122681))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12271,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x122711),x122711))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12274,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x122741),x122741))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12277,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x122771),x122771))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12280,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x122801),x122801))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12283,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x122831),x122831))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12286,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x122861),x122861))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12287,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x122871),f295(a119,x122871)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12296,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x122961),x122961))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12297,plain, % 192.26/192.39 (~E(f295(a119,x122971),x122971)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12300,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x123001),x123001))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12317,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x123171),x123171))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(12322,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x123221))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(12336,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x123361),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12339,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x123391),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12342,plain, % 192.26/192.39 (~P1(f295(f295(f297(x123421),x123422),f176(f911(x123421,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12345,plain, % 192.26/192.39 (~P1(f295(f295(f297(x123451),x123452),f176(f911(x123451,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12348,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x123481),x123481))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12350,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x123501),f295(f295(f108(a902),x123501),x123502)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,4660,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,3675,4624,10689,10791,11266,11367,11370,3086,3098,3100,3103,3106,3108,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3143,3144,3161,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,3910,11944,3455,3554,11772,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,4194,4151,4100,11101,4144,3827,11895,4182,3845,11315,11398,11479,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,3627,10886,11165,11215,11450,11453,11527,11604,11776,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,3494,10949,11109,11191,11981,12129,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,11259,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,4319,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179])). % 192.26/192.39 cnf(12351,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x123511),x123511))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12354,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x123541),x123541))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12357,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x123571),x123571))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12360,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x123601),f295(a119,x123601)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12367,plain, % 192.26/192.39 (P1(f295(f295(f297(f911(x123671,a897)),x123672),f295(f274(x123671),x123672)))), % 192.26/192.39 inference(rename_variables,[],[3827])). % 192.26/192.39 cnf(12372,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x123721,a897)),f295(f160(x123721),f295(f125(x123721,x123722),x123723))),f295(f160(x123721),x123723)))), % 192.26/192.39 inference(rename_variables,[],[4100])). % 192.26/192.39 cnf(12379,plain, % 192.26/192.39 (~P1(f295(f295(f297(x123791),x123792),f176(f911(x123791,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12388,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x123881,a897)),x123882),f214(f911(x123881,a897))))), % 192.26/192.39 inference(rename_variables,[],[3845])). % 192.26/192.39 cnf(12389,plain, % 192.26/192.39 (~E(f295(a119,x123891),x123891)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12392,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x123921,a897)),f295(f160(x123921),f295(f125(x123921,x123922),x123923))),f295(f160(x123921),x123923)))), % 192.26/192.39 inference(rename_variables,[],[4100])). % 192.26/192.39 cnf(12398,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x123981),f295(a119,x123981)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12407,plain, % 192.26/192.39 (E(f34(x124071,x124072,x124073,x124074,x124075,x124076,x124077,x124078,x124079,a25),x124072)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12418,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x124181)),x124181))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12419,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x124191),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12422,plain, % 192.26/192.39 (P1(f295(f62(x124221),f176(f911(x124221,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(12423,plain, % 192.26/192.39 (~P1(f295(f295(f297(x124231),x124232),f176(f911(x124231,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12428,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x124281),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12429,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x124291),x124291))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12434,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x124341,a897)),f295(f160(x124341),f162(x124341,x124342,x124343))),f295(f160(x124341),x124342)))), % 192.26/192.39 inference(rename_variables,[],[4144])). % 192.26/192.39 cnf(12437,plain, % 192.26/192.39 (P24(x124371,x124371,f36(x124371),x124372)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12442,plain, % 192.26/192.39 (P1(f295(f295(f297(f911(x124421,a897)),x124422),f295(f274(x124421),x124422)))), % 192.26/192.39 inference(rename_variables,[],[3827])). % 192.26/192.39 cnf(12449,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x124491),x124491))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12451,plain, % 192.26/192.39 (~P1(f295(f295(f297(a902),f295(a119,f295(f131(a902,a902,f83(a902),f2(a902)),f158(a902,f2(a902),x124511)))),f295(f160(a902),x124511)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,4660,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3143,3144,3161,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,4194,4151,4100,11101,12372,4144,11312,3827,11895,12227,12367,4182,3845,11315,11398,11479,11541,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,3627,10886,11165,11215,11450,11453,11527,11604,11776,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,3494,10949,11109,11191,11981,12129,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,11259,3761,11378,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,4319,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677])). % 192.26/192.39 cnf(12452,plain, % 192.26/192.39 (~E(f295(a119,x124521),f2(a902))), % 192.26/192.39 inference(rename_variables,[],[4624])). % 192.26/192.39 cnf(12455,plain, % 192.26/192.39 (~P1(f295(f295(f297(x124551),x124552),f176(f911(x124551,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12458,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x124581,a897)),x124582),f295(f295(f275(x124581),x124583),x124582)))), % 192.26/192.39 inference(rename_variables,[],[3906])). % 192.26/192.39 cnf(12459,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x124591,a897)),x124592),f214(f911(x124591,a897))))), % 192.26/192.39 inference(rename_variables,[],[3845])). % 192.26/192.39 cnf(12466,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x124661),x124661))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12469,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x124691),x124691))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12472,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x124721),x124721))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12475,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x124751),x124751))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12478,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x124781),f295(a119,x124781)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12481,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x124811),f295(a119,x124811)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12484,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x124841,a897)),x124842),x124842))), % 192.26/192.39 inference(rename_variables,[],[3761])). % 192.26/192.39 cnf(12486,plain, % 192.26/192.39 (~P1(f295(f295(f207(a1),f295(f295(f23(a1),a86),a104)),f2(a1)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,4660,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3143,3144,3161,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,4194,4151,4100,11101,12372,4144,11312,3827,11895,12227,12367,4182,3845,11315,11398,11479,11541,12388,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,3627,10886,11165,11215,11450,11453,11527,11604,11776,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,3494,10949,11109,11191,11981,12129,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,11259,12249,3761,11378,11492,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,4319,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787])). % 192.26/192.39 cnf(12491,plain, % 192.26/192.39 (P1(f295(f295(f297(f911(x124911,a897)),x124912),f295(f274(x124911),x124912)))), % 192.26/192.39 inference(rename_variables,[],[3827])). % 192.26/192.39 cnf(12497,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f295(f83(a1),a86),a86)),f2(a1)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,4660,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3142,3143,3144,3161,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3532,11104,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,3826,4487,4488,4641,3765,3969,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,4194,4151,4100,11101,12372,4144,11312,3827,11895,12227,12367,12442,4182,3845,11315,11398,11479,11541,12388,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,3627,10886,11165,11215,11450,11453,11527,11604,11776,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,3494,10949,11109,11191,11981,12129,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,11259,12249,3761,11378,11492,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,4319,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823])). % 192.26/192.39 cnf(12500,plain, % 192.26/192.39 (~E(f295(a119,x125001),x125001)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12501,plain, % 192.26/192.39 (E(f295(f276(x125011,x125011,f36(x125011)),x125012),x125012)), % 192.26/192.39 inference(rename_variables,[],[3532])). % 192.26/192.39 cnf(12504,plain, % 192.26/192.39 (P31(x125041,x125042,f120(x125041),f120(x125041))), % 192.26/192.39 inference(rename_variables,[],[3713])). % 192.26/192.39 cnf(12507,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x125071,a897)),f295(f160(x125071),f162(x125071,x125072,x125073))),f295(f160(x125071),x125072)))), % 192.26/192.39 inference(rename_variables,[],[4144])). % 192.26/192.39 cnf(12508,plain, % 192.26/192.39 (P1(f295(f62(x125081),f295(f160(x125081),x125082)))), % 192.26/192.39 inference(rename_variables,[],[3514])). % 192.26/192.39 cnf(12519,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x125191),x125191))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12522,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x125221),x125221))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12527,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x125271))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(12534,plain, % 192.26/192.39 (P12(a902,f295(f157(a902),f295(f295(f143(f903(x125341),a902),f177(f903(x125341))),f166(x125341,x125342))))), % 192.26/192.39 inference(rename_variables,[],[4013])). % 192.26/192.39 cnf(12537,plain, % 192.26/192.39 (P24(x125371,x125371,f36(x125371),x125372)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12540,plain, % 192.26/192.39 (P24(x125401,x125401,f36(x125401),x125402)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12543,plain, % 192.26/192.39 (P1(f295(f295(f297(f903(x125431)),f120(x125431)),f150(x125431,x125432)))), % 192.26/192.39 inference(rename_variables,[],[3666])). % 192.26/192.39 cnf(12546,plain, % 192.26/192.39 (~P1(f295(f295(f176(f911(x125461,f911(x125462,a897))),x125463),x125464))), % 192.26/192.39 inference(rename_variables,[],[4721])). % 192.26/192.39 cnf(12551,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x125511),x125511))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12552,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x125521))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(12555,plain, % 192.26/192.39 (~P1(f295(f295(f176(f911(x125551,f911(x125552,a897))),x125553),x125554))), % 192.26/192.39 inference(rename_variables,[],[4721])). % 192.26/192.39 cnf(12558,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(f910(f903(x125581),f903(x125581)),a897)),f147(x125581,x125582)),f273(f903(x125581),f146(x125581,x125582))))), % 192.26/192.39 inference(rename_variables,[],[4151])). % 192.26/192.39 cnf(12564,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x125641,a897)),f295(f276(x125642,x125641,x125643),f295(f278(x125642,x125641,x125643),x125644))),x125644))), % 192.26/192.39 inference(rename_variables,[],[4319])). % 192.26/192.39 cnf(12567,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x125671,a897)),f295(f160(x125671),f162(x125671,x125672,x125673))),f295(f160(x125671),x125672)))), % 192.26/192.39 inference(rename_variables,[],[4144])). % 192.26/192.39 cnf(12568,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x125681,a897)),f295(f160(x125681),f295(f125(x125681,x125682),x125683))),f295(f160(x125681),x125683)))), % 192.26/192.39 inference(rename_variables,[],[4100])). % 192.26/192.39 cnf(12571,plain, % 192.26/192.39 (~P1(f295(f295(f208(f911(x125711,a897)),x125712),f176(f911(x125711,a897))))), % 192.26/192.39 inference(rename_variables,[],[4715])). % 192.26/192.39 cnf(12579,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x125791,a897)),f295(f276(x125792,x125791,x125793),f295(f278(x125792,x125791,x125793),x125794))),x125794))), % 192.26/192.39 inference(rename_variables,[],[4319])). % 192.26/192.39 cnf(12582,plain, % 192.26/192.39 (P1(f295(f295(f297(f903(x125821)),f120(x125821)),f150(x125821,x125822)))), % 192.26/192.39 inference(rename_variables,[],[3666])). % 192.26/192.39 cnf(12585,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(f903(x125851),f903(x125851))),f295(f295(f217(f903(x125851),f903(x125851)),x125852),f120(x125851))),f134(x125851,x125853)))), % 192.26/192.39 inference(rename_variables,[],[4723])). % 192.26/192.39 cnf(12588,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x125881),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12590,plain, % 192.26/192.39 (~P1(f295(f62(x125901),f214(f911(x125901,a897))))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,3713,3722,3442,4660,3354,4625,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3142,3143,3144,3161,3170,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3359,3532,11104,11240,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,3463,4705,11390,11615,11618,3579,3374,3375,10590,10919,3630,3394,11700,4577,4569,4226,4089,11309,11447,11501,4526,10652,4723,11218,11458,11567,11590,11621,11627,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,3826,4487,4488,4641,3765,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,4194,4151,12217,12558,4100,11101,12372,12392,4144,11312,12434,12507,3827,11895,12227,12367,12442,12491,4182,3845,11315,11398,11479,11541,12388,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,4058,11652,12007,3906,11231,11237,11259,12249,3761,11378,11492,12484,3907,10952,11331,11498,11532,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,11769,12546,4319,11092,12564,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,900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% 192.26/192.39 cnf(12591,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x125911,a897)),x125912),x125912))), % 192.26/192.39 inference(rename_variables,[],[3761])). % 192.26/192.39 cnf(12594,plain, % 192.26/192.39 (~P1(f295(f295(f297(x125941),x125942),f176(f911(x125941,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12597,plain, % 192.26/192.39 (~P1(f295(f295(f176(f911(x125971,f911(x125972,a897))),x125973),x125974))), % 192.26/192.39 inference(rename_variables,[],[4721])). % 192.26/192.39 cnf(12600,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x126001,a897)),f295(f276(x126002,x126001,x126003),f295(f278(x126002,x126001,x126003),x126004))),x126004))), % 192.26/192.39 inference(rename_variables,[],[4319])). % 192.26/192.39 cnf(12601,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x126011,a897)),x126012),x126012))), % 192.26/192.39 inference(rename_variables,[],[3761])). % 192.26/192.39 cnf(12606,plain, % 192.26/192.39 (E(f34(x126061,x126062,x126063,x126064,x126065,x126066,x126067,x126068,x126069,a25),x126062)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12609,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x126091,a897)),f295(f160(x126091),f162(x126091,x126092,x126093))),f295(f160(x126091),x126092)))), % 192.26/192.39 inference(rename_variables,[],[4144])). % 192.26/192.39 cnf(12610,plain, % 192.26/192.39 (P1(f295(f62(x126101),f295(f160(x126101),x126102)))), % 192.26/192.39 inference(rename_variables,[],[3514])). % 192.26/192.39 cnf(12613,plain, % 192.26/192.39 (P1(f295(f295(f182(a25),x126131),x126131))), % 192.26/192.39 inference(rename_variables,[],[3473])). % 192.26/192.39 cnf(12616,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x126161),x126161))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12619,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x126191),x126191))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12630,plain, % 192.26/192.39 (P24(x126301,x126301,f36(x126301),x126302)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12637,plain, % 192.26/192.39 (~P1(f295(f295(f297(x126371),x126372),f176(f911(x126371,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12640,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(x126401,x126401)),f295(f295(f217(x126401,x126401),x126402),x126402)),f273(x126401,x126403)))), % 192.26/192.39 inference(rename_variables,[],[4089])). % 192.26/192.39 cnf(12643,plain, % 192.26/192.39 (~P1(f295(f295(f297(x126431),x126432),f176(f911(x126431,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12646,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(x126461,x126461)),f295(f295(f217(x126461,x126461),x126462),x126462)),f273(x126461,x126463)))), % 192.26/192.39 inference(rename_variables,[],[4089])). % 192.26/192.39 cnf(12652,plain, % 192.26/192.39 (E(f295(f295(f275(x126521),x126522),f295(f295(f275(x126521),x126522),x126523)),f295(f295(f275(x126521),x126522),x126523))), % 192.26/192.39 inference(rename_variables,[],[3620])). % 192.26/192.39 cnf(12653,plain, % 192.26/192.39 (~E(f295(f295(f275(x126531),x126532),x126533),f176(f911(x126531,a897)))), % 192.26/192.39 inference(rename_variables,[],[4680])). % 192.26/192.39 cnf(12660,plain, % 192.26/192.39 (~E(f295(f295(f140(x126601),x126602),x126603),x126603)), % 192.26/192.39 inference(rename_variables,[],[4643])). % 192.26/192.39 cnf(12663,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x126631))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(12666,plain, % 192.26/192.39 (P1(f295(f295(f297(x126661),x126662),f214(f911(x126661,a897))))), % 192.26/192.39 inference(rename_variables,[],[3627])). % 192.26/192.39 cnf(12667,plain, % 192.26/192.39 (~E(f295(a119,x126671),x126671)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12670,plain, % 192.26/192.39 (P1(f295(f295(f297(f903(x126701)),f120(x126701)),f150(x126701,x126702)))), % 192.26/192.39 inference(rename_variables,[],[3666])). % 192.26/192.39 cnf(12676,plain, % 192.26/192.39 (~P1(f295(f295(f297(x126761),x126762),f176(f911(x126761,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12677,plain, % 192.26/192.39 (P1(f295(f295(f297(f911(x126771,a897)),x126772),f295(f274(x126771),x126772)))), % 192.26/192.39 inference(rename_variables,[],[3827])). % 192.26/192.39 cnf(12680,plain, % 192.26/192.39 (~P1(f295(f295(f176(f911(x126801,f911(x126802,a897))),x126803),x126804))), % 192.26/192.39 inference(rename_variables,[],[4721])). % 192.26/192.39 cnf(12683,plain, % 192.26/192.39 (P24(x126831,x126831,f36(x126831),x126832)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12686,plain, % 192.26/192.39 (P1(f295(f295(f297(x126861),f295(x126862,x126863)),f295(f276(x126864,x126861,x126862),f214(f911(x126864,a897)))))), % 192.26/192.39 inference(rename_variables,[],[4058])). % 192.26/192.39 cnf(12687,plain, % 192.26/192.39 (P24(x126871,x126871,f36(x126871),x126872)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12693,plain, % 192.26/192.39 (~E(f295(a119,x126931),x126931)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12696,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x126961,a897)),f176(f911(x126961,a897))),x126962))), % 192.26/192.39 inference(rename_variables,[],[3907])). % 192.26/192.39 cnf(12697,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x126971,a897)),x126972),x126972))), % 192.26/192.39 inference(rename_variables,[],[3761])). % 192.26/192.39 cnf(12700,plain, % 192.26/192.39 (P1(f295(f295(f297(x127001),f295(x127002,x127003)),f295(f276(x127004,x127001,x127002),f214(f911(x127004,a897)))))), % 192.26/192.39 inference(rename_variables,[],[4058])). % 192.26/192.39 cnf(12701,plain, % 192.26/192.39 (P24(x127011,x127011,f36(x127011),x127012)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12704,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(f903(x127041),f903(x127041))),f295(f295(f217(f903(x127041),f903(x127041)),f120(x127041)),f120(x127041))),f147(x127041,x127042)))), % 192.26/192.39 inference(rename_variables,[],[4226])). % 192.26/192.39 cnf(12707,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x127071),x127071))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12708,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x127081),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(12711,plain, % 192.26/192.39 (~P1(f295(f295(f207(a902),f295(a119,x127111)),x127111))), % 192.26/192.39 inference(rename_variables,[],[4704])). % 192.26/192.39 cnf(12712,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x127121))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(12718,plain, % 192.26/192.39 (P38(x127181,f213(x127181,x127182))), % 192.26/192.39 inference(rename_variables,[],[3351])). % 192.26/192.39 cnf(12721,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x127211,a897)),f295(f160(x127211),f295(f125(x127211,x127212),x127213))),f295(f160(x127211),x127213)))), % 192.26/192.39 inference(rename_variables,[],[4100])). % 192.26/192.39 cnf(12722,plain, % 192.26/192.39 (E(f295(f276(x127221,x127221,f36(x127221)),x127222),x127222)), % 192.26/192.39 inference(rename_variables,[],[3532])). % 192.26/192.39 cnf(12727,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x127271,a897)),x127272),f214(f911(x127271,a897))))), % 192.26/192.39 inference(rename_variables,[],[3845])). % 192.26/192.39 cnf(12731,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x127311),x127311))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12732,plain, % 192.26/192.39 (~E(f295(a119,x127321),x127321)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12735,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x127351,a897)),f176(f911(x127351,a897))),x127352))), % 192.26/192.39 inference(rename_variables,[],[3907])). % 192.26/192.39 cnf(12738,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x127381),x127381))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12741,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x127411,a897)),x127412),x127412))), % 192.26/192.39 inference(rename_variables,[],[3761])). % 192.26/192.39 cnf(12746,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x127461,a897)),x127462),f295(f295(f275(x127461),x127463),x127462)))), % 192.26/192.39 inference(rename_variables,[],[3906])). % 192.26/192.39 cnf(12749,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x127491,a897)),x127492),x127492))), % 192.26/192.39 inference(rename_variables,[],[3761])). % 192.26/192.39 cnf(12750,plain, % 192.26/192.39 (~P1(f295(f295(f297(x127501),x127502),f176(f911(x127501,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12753,plain, % 192.26/192.39 (~P1(f295(f295(f297(x127531),x127532),f176(f911(x127531,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12761,plain, % 192.26/192.39 (~P1(f295(f295(f207(f911(f910(x127611,x127611),a897)),f295(f276(f910(x127611,x127611),f910(x127611,x127611),f36(f910(x127611,x127611))),f214(f911(f910(x127611,x127611),a897)))),f295(f276(f910(x127611,x127611),f910(x127611,x127611),f36(f910(x127611,x127611))),f176(f911(f910(x127611,x127611),a897)))))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,3713,3722,3442,4660,3351,3354,4625,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,3531,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3142,3143,3144,3147,3161,3170,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3359,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,4652,3463,4705,11390,11615,11618,3579,4680,12653,3374,3375,10590,10919,3630,3394,11700,4577,4569,4226,12704,4089,11309,11447,11501,12640,12646,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,4641,11693,3765,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,12508,4194,4151,12217,12558,4100,11101,12372,12392,12568,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,4119,4182,3845,11315,11398,11479,11541,12388,12459,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,3536,10916,10946,10955,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,11769,12546,12555,12597,4319,11092,12564,12579,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382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% 192.26/192.39 cnf(12762,plain, % 192.26/192.39 (P24(x127621,x127621,f36(x127621),x127622)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12765,plain, % 192.26/192.39 (E(f295(f177(f903(x127651)),f295(f156(x127651),x127652)),f295(f177(f903(x127651)),x127652))), % 192.26/192.39 inference(rename_variables,[],[3485])). % 192.26/192.39 cnf(12768,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x127681),x127681))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12769,plain, % 192.26/192.39 (P1(f295(f214(f911(x127691,a897)),x127692))), % 192.26/192.39 inference(rename_variables,[],[3536])). % 192.26/192.39 cnf(12772,plain, % 192.26/192.39 (~P1(f295(f295(f297(x127721),x127722),f176(f911(x127721,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12775,plain, % 192.26/192.39 (P1(f295(f295(f297(x127751),f295(x127752,x127753)),f295(f276(x127754,x127751,x127752),f214(f911(x127754,a897)))))), % 192.26/192.39 inference(rename_variables,[],[4058])). % 192.26/192.39 cnf(12776,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(x127761,x127761)),f295(f295(f217(x127761,x127761),x127762),x127762)),f273(x127761,x127763)))), % 192.26/192.39 inference(rename_variables,[],[4089])). % 192.26/192.39 cnf(12779,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(x127791,x127791)),f295(f295(f217(x127791,x127791),x127792),x127792)),f273(x127791,x127793)))), % 192.26/192.39 inference(rename_variables,[],[4089])). % 192.26/192.39 cnf(12782,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x127821),x127821))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(12783,plain, % 192.26/192.39 (P1(f295(f214(f911(x127831,a897)),x127832))), % 192.26/192.39 inference(rename_variables,[],[3536])). % 192.26/192.39 cnf(12786,plain, % 192.26/192.39 (P1(f295(f62(x127861),f295(f160(x127861),x127862)))), % 192.26/192.39 inference(rename_variables,[],[3514])). % 192.26/192.39 cnf(12790,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(x127901,x127901)),f295(f295(f217(x127901,x127901),x127902),x127902)),f295(f295(f255(x127901,x127901,x127901),f273(x127901,x127903)),f273(x127901,f273(x127901,x127903)))))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,3713,3722,3442,4660,3351,3354,4625,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,3531,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3142,3143,3144,3147,3161,3170,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3359,3485,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,4652,3463,4705,11390,11615,11618,3579,4680,12653,3374,3375,10590,10919,3630,3394,11700,4577,4569,4226,12704,4089,11309,11447,11501,12640,12646,12776,12779,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,4641,11693,3765,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,4194,4151,12217,12558,4100,11101,12372,12392,12568,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,4119,4182,3845,11315,11398,11479,11541,12388,12459,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,3536,10916,10946,10955,11559,12769,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,11769,12546,12555,12597,4319,11092,12564,12579,4228,3932,3887,4718,10544,10547,10910,10913,11810,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,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% 192.26/192.39 cnf(12793,plain, % 192.26/192.39 (~P1(f295(f295(f176(f911(x127931,f911(x127932,a897))),x127933),x127934))), % 192.26/192.39 inference(rename_variables,[],[4721])). % 192.26/192.39 cnf(12796,plain, % 192.26/192.39 (~P1(f295(f295(f176(f911(x127961,f911(x127962,a897))),x127963),x127964))), % 192.26/192.39 inference(rename_variables,[],[4721])). % 192.26/192.39 cnf(12799,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x127991,a897)),x127992),f214(f911(x127991,a897))))), % 192.26/192.39 inference(rename_variables,[],[3845])). % 192.26/192.39 cnf(12802,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(x128021,x128021)),f295(f295(f217(x128021,x128021),x128022),x128022)),f273(x128021,x128023)))), % 192.26/192.39 inference(rename_variables,[],[4089])). % 192.26/192.39 cnf(12805,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x128051),x128052)),x128052))), % 192.26/192.39 inference(rename_variables,[],[4718])). % 192.26/192.39 cnf(12806,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x128061),f295(a119,x128061)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(12809,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x128091,a897)),x128092),f214(f911(x128091,a897))))), % 192.26/192.39 inference(rename_variables,[],[3845])). % 192.26/192.39 cnf(12812,plain, % 192.26/192.39 (E(f34(x128121,x128122,x128123,x128124,x128125,x128126,x128127,x128128,x128129,a25),x128122)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12823,plain, % 192.26/192.39 (~P1(f295(f295(f297(x128231),x128232),f176(f911(x128231,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12824,plain, % 192.26/192.39 (P1(f295(f295(f297(f910(f903(x128241),f903(x128241))),f295(f295(f217(f903(x128241),f903(x128241)),f120(x128241)),f120(x128241))),f147(x128241,x128242)))), % 192.26/192.39 inference(rename_variables,[],[4226])). % 192.26/192.39 cnf(12829,plain, % 192.26/192.39 (~P1(f295(f295(f297(x128291),x128292),f176(f911(x128291,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12834,plain, % 192.26/192.39 (E(f295(f177(f903(x128341)),f295(f156(x128341),x128342)),f295(f177(f903(x128341)),x128342))), % 192.26/192.39 inference(rename_variables,[],[3485])). % 192.26/192.39 cnf(12837,plain, % 192.26/192.39 (~P1(f295(f295(f297(x128371),x128372),f176(f911(x128371,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12841,plain, % 192.26/192.39 (~P1(f295(f295(f297(f910(f903(x128411),f903(x128411))),f295(f295(f217(f903(x128411),f903(x128411)),x128412),x128412)),f136(x128411,f142(x128411,f120(f911(x128411,a902))))))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,3713,3722,3442,4660,3351,3354,4625,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,4587,11678,3763,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,3531,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3142,3143,3144,3147,3161,3170,3176,3186,3187,3194,3212,3256,3259,3260,3264,4610,3800,3788,11127,11130,4454,3515,3408,3418,3714,11168,3318,4590,4002,11710,3380,3341,3336,3312,3324,3359,3485,12765,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,4652,3463,4705,11390,11615,11618,3579,4680,12653,3374,3375,10590,10919,3630,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,4641,11693,3765,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,4194,4151,12217,12558,4100,11101,12372,12392,12568,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,3536,10916,10946,10955,11559,12769,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,3887,4718,10544,10547,10910,10913,11810,12012,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,76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% 192.26/192.39 cnf(12843,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x128431),x128431))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(12846,plain, % 192.26/192.39 (P1(f295(f295(f297(x128461),x128462),f214(f911(x128461,a897))))), % 192.26/192.39 inference(rename_variables,[],[3627])). % 192.26/192.39 cnf(12849,plain, % 192.26/192.39 (~P1(f295(f295(f297(x128491),x128492),f176(f911(x128491,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12852,plain, % 192.26/192.39 (~P1(f295(f295(f297(x128521),x128522),f176(f911(x128521,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12858,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x128581,a897)),x128582),x128582))), % 192.26/192.39 inference(rename_variables,[],[3761])). % 192.26/192.39 cnf(12861,plain, % 192.26/192.39 (~P1(f295(f295(f297(x128611),x128612),f176(f911(x128611,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(12864,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),f2(a1)),f295(f295(f218(a1),f295(f77(a1),x128641)),x128642)))), % 192.26/192.39 inference(rename_variables,[],[3932])). % 192.26/192.39 cnf(12867,plain, % 192.26/192.39 (~E(f295(a119,x128671),x128671)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(12869,plain, % 192.26/192.39 (E(f34(x128691,x128692,x128693,x128694,x128695,x128696,x128697,x128698,x128699,a25),x128692)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12871,plain, % 192.26/192.39 (E(f34(x128711,x128712,x128713,x128714,x128715,x128716,x128717,x128718,x128719,a25),x128712)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12876,plain, % 192.26/192.39 (E(f34(x128761,x128762,x128763,x128764,x128765,x128766,x128767,x128768,x128769,a25),x128762)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12878,plain, % 192.26/192.39 (P58(x128781,x128782,f213(x128781,x128782))), % 192.26/192.39 inference(rename_variables,[],[3441])). % 192.26/192.39 cnf(12880,plain, % 192.26/192.39 (P58(x128801,x128802,f213(x128801,x128802))), % 192.26/192.39 inference(rename_variables,[],[3441])). % 192.26/192.39 cnf(12882,plain, % 192.26/192.39 (P58(x128821,x128822,f213(x128821,x128822))), % 192.26/192.39 inference(rename_variables,[],[3441])). % 192.26/192.39 cnf(12886,plain, % 192.26/192.39 (P23(x128861,x128862,f176(f911(f901(x128861),a897)))), % 192.26/192.39 inference(rename_variables,[],[3530])). % 192.26/192.39 cnf(12891,plain, % 192.26/192.39 (E(f34(x128911,x128912,x128913,x128914,x128915,x128916,x128917,x128918,x128919,a25),x128912)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12893,plain, % 192.26/192.39 (P24(x128931,x128931,f36(x128931),x128932)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12895,plain, % 192.26/192.39 (P24(x128951,x128951,f36(x128951),x128952)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(12898,plain, % 192.26/192.39 (E(f295(f295(x128981,x128982),f295(f171(x128983,x128984,x128981),x128982)),f295(f171(x128983,x128984,x128981),f295(a119,x128982)))), % 192.26/192.39 inference(rename_variables,[],[3862])). % 192.26/192.39 cnf(12899,plain, % 192.26/192.39 (P24(f910(x128991,x128991),x128992,x128993,f213(x128991,f176(f911(x128991,a897))))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,3713,3722,3441,12878,12880,3442,4660,3351,3354,4625,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,3531,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3140,3141,3142,3143,3144,3147,3161,3170,3176,3186,3187,3194,3212,3256,3259,3260,3264,4607,3349,4610,3800,3788,11127,11130,4454,3515,3429,3408,3418,3714,11168,3318,4590,4002,11710,3530,12886,3380,3341,3336,4011,3312,3324,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,4705,11390,11615,11618,3862,3579,4680,12653,3545,3374,3375,10590,10919,3630,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,4641,11693,3765,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,4194,4151,12217,12558,4100,11101,12372,12392,12568,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,3536,10916,10946,10955,11559,12769,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,3887,4718,10544,10547,10910,10913,11810,12012,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814])). % 192.26/192.39 cnf(12912,plain, % 192.26/192.39 (E(f34(x129121,x129122,x129123,x129124,x129125,x129126,x129127,x129128,x129129,a25),x129122)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12914,plain, % 192.26/192.39 (P61(x129141,f176(f911(x129141,a897)),x129142)), % 192.26/192.39 inference(rename_variables,[],[3492])). % 192.26/192.39 cnf(12918,plain, % 192.26/192.39 (P36(x129181,f142(x129181,x129182))), % 192.26/192.39 inference(rename_variables,[],[3350])). % 192.26/192.39 cnf(12922,plain, % 192.26/192.39 (P60(x129221,x129221,f213(x129221,x129222))), % 192.26/192.39 inference(rename_variables,[],[3442])). % 192.26/192.39 cnf(12929,plain, % 192.26/192.39 (E(f176(f911(f910(x129291,x129291),a897)),f213(x129291,f176(f911(x129291,a897))))), % 192.26/192.39 inference(rename_variables,[],[3545])). % 192.26/192.39 cnf(12931,plain, % 192.26/192.39 (P43(x129311,x129311,a292,f36(x129311),f36(x129311))), % 192.26/192.39 inference(rename_variables,[],[4117])). % 192.26/192.39 cnf(12933,plain, % 192.26/192.39 (P43(x129331,x129331,a292,f36(x129331),f36(x129331))), % 192.26/192.39 inference(rename_variables,[],[4117])). % 192.26/192.39 cnf(12935,plain, % 192.26/192.39 (P43(x129351,x129351,a292,f36(x129351),f36(x129351))), % 192.26/192.39 inference(rename_variables,[],[4117])). % 192.26/192.39 cnf(12943,plain, % 192.26/192.39 (E(f34(x129431,x129432,x129433,x129434,x129435,x129436,x129437,x129438,x129439,a25),x129432)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12949,plain, % 192.26/192.39 (E(f34(x129491,x129492,x129493,x129494,x129495,x129496,x129497,x129498,x129499,a25),x129492)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12951,plain, % 192.26/192.39 (E(f34(x129511,x129512,x129513,x129514,x129515,x129516,x129517,x129518,x129519,a25),x129512)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12953,plain, % 192.26/192.39 (P37(x129531,f213(x129531,x129532))), % 192.26/192.39 inference(rename_variables,[],[3352])). % 192.26/192.39 cnf(12957,plain, % 192.26/192.39 (E(f34(x129571,x129572,x129573,x129574,x129575,x129576,x129577,x129578,x129579,a25),x129572)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(12959,plain, % 192.26/192.39 (P31(x129591,x129592,f120(x129591),f120(x129591))), % 192.26/192.39 inference(rename_variables,[],[3713])). % 192.26/192.39 cnf(12961,plain, % 192.26/192.39 (P31(x129611,x129612,f120(x129611),f120(x129611))), % 192.26/192.39 inference(rename_variables,[],[3713])). % 192.26/192.39 cnf(12965,plain, % 192.26/192.39 (P38(x129651,f213(x129651,x129652))), % 192.26/192.39 inference(rename_variables,[],[3351])). % 192.26/192.39 cnf(12978,plain, % 192.26/192.39 (P13(x129781,f911(x129781,a897),f275(x129781))), % 192.26/192.39 inference(rename_variables,[],[3445])). % 192.26/192.39 cnf(12987,plain, % 192.26/192.39 (P44(x129871,x129872,x129873,x129874,f176(f911(x129871,a897)),x129874)), % 192.26/192.39 inference(rename_variables,[],[4376])). % 192.26/192.39 cnf(13000,plain, % 192.26/192.39 (E(f34(x130001,x130002,x130003,x130004,x130005,x130006,x130007,x130008,x130009,a25),x130002)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(13002,plain, % 192.26/192.39 (P42(x130021,x130021,f36(f911(x130021,x130021)),f36(x130021))), % 192.26/192.39 inference(rename_variables,[],[3775])). % 192.26/192.39 cnf(13004,plain, % 192.26/192.39 (P42(x130041,x130041,f36(f911(x130041,x130041)),f36(x130041))), % 192.26/192.39 inference(rename_variables,[],[3775])). % 192.26/192.39 cnf(13016,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x130161),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13018,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),a86),f2(a1)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3161,3170,3176,3186,3187,3194,3212,3256,3259,3260,3264,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3408,3418,3714,11168,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,3843,3324,3298,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,4048,4705,11390,11615,11618,3862,3579,3786,4680,12653,3545,12929,3374,3375,10590,10919,3630,3367,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,4711,11813,11848,11888,11891,11924,3899,3676,4040,3501,3502,3476,4692,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,4194,4151,12217,12558,4100,11101,12372,12392,12568,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,3536,10916,10946,10955,11559,12769,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,3933,4265,4702,3945,3979,4683,4686,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,4720,11941,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,3887,4718,10544,10547,10910,10913,11810,12012,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642])). % 192.26/192.39 cnf(13025,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x130251)),f295(f82(a1),f295(f107(a1),x130252))))), % 192.26/192.39 inference(rename_variables,[],[4716])). % 192.26/192.39 cnf(13035,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x130351),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13038,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x130381),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13041,plain, % 192.26/192.39 (P1(f295(f62(a902),f271(a902,x130411,x130412)))), % 192.26/192.39 inference(rename_variables,[],[3677])). % 192.26/192.39 cnf(13044,plain, % 192.26/192.39 (P1(f295(f62(a902),f271(a902,x130441,x130442)))), % 192.26/192.39 inference(rename_variables,[],[3677])). % 192.26/192.39 cnf(13047,plain, % 192.26/192.39 (P1(f295(f62(a902),f271(a902,x130471,x130472)))), % 192.26/192.39 inference(rename_variables,[],[3677])). % 192.26/192.39 cnf(13050,plain, % 192.26/192.39 (P1(f295(f62(a902),f271(a902,x130501,x130502)))), % 192.26/192.39 inference(rename_variables,[],[3677])). % 192.26/192.39 cnf(13057,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),f295(f82(a1),f295(f107(a1),x130571))),f295(f107(a1),x130572)))), % 192.26/192.39 inference(rename_variables,[],[3933])). % 192.26/192.39 cnf(13062,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x130621),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13063,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x130631),x130631))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13070,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x130701),f295(a119,x130701)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(13072,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),f2(a1)),a86))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3161,3170,3176,3186,3187,3194,3212,3215,3256,3259,3260,3264,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3408,3418,3714,11168,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,4048,4705,11390,11615,11618,3862,3579,3786,4680,12653,3545,12929,3374,3375,10590,10919,3630,3367,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,4711,11813,11848,11888,11891,11924,3899,3676,3677,13041,13044,13047,4040,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,4194,4151,12217,12558,4100,11101,12372,12392,12568,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,3536,10916,10946,10955,11559,12769,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,3933,12077,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,3887,3888,4718,10544,10547,10910,10913,11810,12012,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280])). % 192.26/192.39 cnf(13074,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f2(a1)),f295(f110(a1),f2(a1))))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3161,3170,3176,3186,3187,3194,3212,3215,3256,3259,3260,3264,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3408,3418,3714,11168,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,4048,4705,11390,11615,11618,3862,3579,3786,4680,12653,3545,12929,3374,3375,10590,10919,3630,3367,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,4013,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,4711,11813,11848,11888,11891,11924,3899,3676,3677,13041,13044,13047,4040,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,4194,4151,12217,12558,4100,11101,12372,12392,12568,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,3550,12422,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,3536,10916,10946,10955,11559,12769,3575,3566,3973,3914,10571,11947,11980,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,3933,12077,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,3887,3888,4718,10544,10547,10910,10913,11810,12012,4719,11921,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423])). % 192.26/192.39 cnf(13077,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x130771),x130771))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(13080,plain, % 192.26/192.39 (P1(f295(f62(a902),f271(a902,x130801,x130802)))), % 192.26/192.39 inference(rename_variables,[],[3677])). % 192.26/192.39 cnf(13083,plain, % 192.26/192.39 (P1(f295(f62(a902),f271(a902,x130831,x130832)))), % 192.26/192.39 inference(rename_variables,[],[3677])). % 192.26/192.39 cnf(13086,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x130861),x130861))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13087,plain, % 192.26/192.39 (~E(f295(a119,x130871),f2(a902))), % 192.26/192.39 inference(rename_variables,[],[4624])). % 192.26/192.39 cnf(13104,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f46(a902,x131041,x131042)),x131041))), % 192.26/192.39 inference(rename_variables,[],[3914])). % 192.26/192.39 cnf(13109,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x131091),f295(a119,x131091)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(13112,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x131121),f295(a119,x131121)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(13113,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x131131),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13122,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x131221)),f2(a1)))), % 192.26/192.39 inference(rename_variables,[],[4711])). % 192.26/192.39 cnf(13123,plain, % 192.26/192.39 (P1(f295(f214(f911(x131231,a897)),x131232))), % 192.26/192.39 inference(rename_variables,[],[3536])). % 192.26/192.39 cnf(13126,plain, % 192.26/192.39 (~P1(f295(f295(f208(a1),f295(f107(a1),x131261)),f2(a1)))), % 192.26/192.39 inference(rename_variables,[],[4711])). % 192.26/192.39 cnf(13127,plain, % 192.26/192.39 (P1(f295(f214(f911(x131271,a897)),x131272))), % 192.26/192.39 inference(rename_variables,[],[3536])). % 192.26/192.39 cnf(13130,plain, % 192.26/192.39 (P1(f295(f214(f911(x131301,a897)),x131302))), % 192.26/192.39 inference(rename_variables,[],[3536])). % 192.26/192.39 cnf(13133,plain, % 192.26/192.39 (P1(f295(f214(f911(x131331,a897)),x131332))), % 192.26/192.39 inference(rename_variables,[],[3536])). % 192.26/192.39 cnf(13141,plain, % 192.26/192.39 (~P1(f295(f295(f297(x131411),x131412),f176(f911(x131411,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(13142,plain, % 192.26/192.39 (P1(f295(f62(x131421),f176(f911(x131421,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(13151,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f2(a902)),x131511))), % 192.26/192.39 inference(rename_variables,[],[3494])). % 192.26/192.39 cnf(13154,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x131541),f295(a119,x131541)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(13155,plain, % 192.26/192.39 (~E(f295(a119,x131551),x131551)), % 192.26/192.39 inference(rename_variables,[],[4612])). % 192.26/192.39 cnf(13158,plain, % 192.26/192.39 (~P1(f295(f295(f297(x131581),x131582),f176(f911(x131581,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(13161,plain, % 192.26/192.39 (~P1(f295(f295(f297(x131611),x131612),f176(f911(x131611,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(13164,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x131641),x131641))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13171,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x131711),x131711))), % 192.26/192.39 inference(rename_variables,[],[4691])). % 192.26/192.39 cnf(13172,plain, % 192.26/192.39 (P1(f295(f295(f208(a902),x131721),f295(a119,x131721)))), % 192.26/192.39 inference(rename_variables,[],[3542])). % 192.26/192.39 cnf(13175,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x131751),x131751))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13180,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x131801),x131801))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13183,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x131831),x131831))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13186,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x131861),x131861))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13189,plain, % 192.26/192.39 (E(f295(f295(f23(f911(x131891,a897)),f176(f911(x131891,a897))),x131892),f176(f911(x131891,a897)))), % 192.26/192.39 inference(rename_variables,[],[3736])). % 192.26/192.39 cnf(13190,plain, % 192.26/192.39 (P1(f295(f62(x131901),f176(f911(x131901,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(13193,plain, % 192.26/192.39 (E(f295(f295(f23(f911(x131931,a897)),f176(f911(x131931,a897))),x131932),f176(f911(x131931,a897)))), % 192.26/192.39 inference(rename_variables,[],[3736])). % 192.26/192.39 cnf(13194,plain, % 192.26/192.39 (P1(f295(f62(x131941),f176(f911(x131941,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(13197,plain, % 192.26/192.39 (E(f295(f295(f23(f911(x131971,a897)),f176(f911(x131971,a897))),x131972),f176(f911(x131971,a897)))), % 192.26/192.39 inference(rename_variables,[],[3736])). % 192.26/192.39 cnf(13198,plain, % 192.26/192.39 (P1(f295(f62(x131981),f176(f911(x131981,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(13201,plain, % 192.26/192.39 (E(f295(f295(f23(f911(x132011,a897)),f176(f911(x132011,a897))),x132012),f176(f911(x132011,a897)))), % 192.26/192.39 inference(rename_variables,[],[3736])). % 192.26/192.39 cnf(13202,plain, % 192.26/192.39 (P1(f295(f62(x132021),f176(f911(x132021,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(13206,plain, % 192.26/192.39 (E(f34(x132061,x132062,x132063,x132064,x132065,x132066,x132067,x132068,x132069,a25),x132062)), % 192.26/192.39 inference(rename_variables,[],[4586])). % 192.26/192.39 cnf(13211,plain, % 192.26/192.39 (E(f295(f295(f23(f911(x132111,a897)),f176(f911(x132111,a897))),x132112),f176(f911(x132111,a897)))), % 192.26/192.39 inference(rename_variables,[],[3736])). % 192.26/192.39 cnf(13212,plain, % 192.26/192.39 (P1(f295(f62(x132121),f176(f911(x132121,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(13216,plain, % 192.26/192.39 (P1(f295(f62(x132161),f176(f911(x132161,a897))))), % 192.26/192.39 inference(rename_variables,[],[3550])). % 192.26/192.39 cnf(13219,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x132191),x132191))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13223,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x132231),x132231))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(13230,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x132301),x132301))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13243,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x132431),x132431))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13246,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x132461),x132461))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(13253,plain, % 192.26/192.39 (~P1(f295(f295(f297(x132531),x132532),f176(f911(x132531,a897))))), % 192.26/192.39 inference(rename_variables,[],[4707])). % 192.26/192.39 cnf(13264,plain, % 192.26/192.39 (E(f295(f36(x132641),x132642),x132642)), % 192.26/192.39 inference(rename_variables,[],[3316])). % 192.26/192.39 cnf(13265,plain, % 192.26/192.39 (P24(x132651,x132651,f36(x132651),x132652)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(13268,plain, % 192.26/192.39 (E(f295(f36(x132681),x132682),x132682)), % 192.26/192.39 inference(rename_variables,[],[3316])). % 192.26/192.39 cnf(13269,plain, % 192.26/192.39 (P24(x132691,x132691,f36(x132691),x132692)), % 192.26/192.39 inference(rename_variables,[],[3707])). % 192.26/192.39 cnf(13272,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x132721,a897)),x132722),f214(f911(x132721,a897))))), % 192.26/192.39 inference(rename_variables,[],[3845])). % 192.26/192.39 cnf(13275,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x132751,a897)),f295(f160(x132751),f295(f125(x132751,x132752),x132753))),f295(f160(x132751),x132753)))), % 192.26/192.39 inference(rename_variables,[],[4100])). % 192.26/192.39 cnf(13281,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x132811),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13282,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x132821),x132821))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(13286,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x132861),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13287,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x132871),x132871))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(13292,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x132921),x132921))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13299,plain, % 192.26/192.39 (E(f295(f295(f16(x132991,x132992),x132993),x132994),x132993)), % 192.26/192.39 inference(rename_variables,[],[3463])). % 192.26/192.39 cnf(13302,plain, % 192.26/192.39 (P1(f295(f295(f207(f911(x133021,a897)),f295(f160(x133021),f162(x133021,x133022,x133023))),f295(f160(x133021),x133022)))), % 192.26/192.39 inference(rename_variables,[],[4144])). % 192.26/192.39 cnf(13304,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),f548(f295(x133041,f2(a902)),x133041,f2(a902))),f2(a902)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3152,3158,3161,3170,3176,3186,3187,3194,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,4048,4705,11390,11615,11618,3862,3579,3786,4680,12653,3545,12929,3374,3375,10590,10919,3630,3367,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,4711,11813,11848,11888,11891,11924,13122,13126,3899,3676,3677,13041,13044,13047,13050,13080,4040,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,3575,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566])). % 192.26/192.39 cnf(13306,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x133061),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13307,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x133071),x133071))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(13311,plain, % 192.26/192.39 (~P1(f295(f295(f208(a902),x133111),f2(a902)))), % 192.26/192.39 inference(rename_variables,[],[4695])). % 192.26/192.39 cnf(13312,plain, % 192.26/192.39 (P1(f295(f295(f207(a1),x133121),x133121))), % 192.26/192.39 inference(rename_variables,[],[3475])). % 192.26/192.39 cnf(13316,plain, % 192.26/192.39 (~P1(f295(f295(f207(f911(a902,a897)),f269(a902,f295(a119,x133161),f295(a119,x133161))),f269(a902,x133162,x133161)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3152,3158,3161,3170,3176,3186,3187,3194,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,4048,4705,11390,11615,11618,3862,3579,3786,4680,12653,3545,12929,3374,3375,10590,10919,3630,3367,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,4711,11813,11848,11888,11891,11924,13122,13126,3899,3676,3677,13041,13044,13047,13050,13080,4040,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,3575,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656])). % 192.26/192.39 cnf(13317,plain, % 192.26/192.39 (P1(f295(f295(f207(a902),x133171),x133171))), % 192.26/192.39 inference(rename_variables,[],[3474])). % 192.26/192.39 cnf(13319,plain, % 192.26/192.39 (~P1(f295(f295(f208(f911(a902,a897)),f269(a902,f295(a119,x133191),f295(a119,x133191))),f269(a902,x133192,x133191)))), % 192.26/192.39 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3152,3158,3161,3170,3176,3186,3187,3194,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,4048,4705,11390,11615,11618,3862,3579,3786,4680,12653,3545,12929,3374,3375,10590,10919,3630,3367,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,4711,11813,11848,11888,11891,11924,13122,13126,3899,3676,3677,13041,13044,13047,13050,13080,4040,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,4715,11049,11469,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,3575,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,3774,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,3906,11231,11237,11259,12249,12458,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657])). % 192.26/192.40 cnf(13320,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x133201),x133201))), % 192.26/192.40 inference(rename_variables,[],[3474])). % 192.26/192.40 cnf(13323,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(a119,x133231)),x133231))), % 192.26/192.40 inference(rename_variables,[],[4704])). % 192.26/192.40 cnf(13326,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(a119,x133261)),x133261))), % 192.26/192.40 inference(rename_variables,[],[4704])). % 192.26/192.40 cnf(13329,plain, % 192.26/192.40 (P1(f295(f295(f297(x133291),f295(x133292,x133293)),f295(f276(x133294,x133291,x133292),f214(f911(x133294,a897)))))), % 192.26/192.40 inference(rename_variables,[],[4058])). % 192.26/192.40 cnf(13330,plain, % 192.26/192.40 (P24(x133301,x133301,f36(x133301),x133302)), % 192.26/192.40 inference(rename_variables,[],[3707])). % 192.26/192.40 cnf(13331,plain, % 192.26/192.40 (E(f295(f36(x133311),x133312),x133312)), % 192.26/192.40 inference(rename_variables,[],[3316])). % 192.26/192.40 cnf(13335,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x133351,a897)),x133352),f214(f911(x133351,a897))))), % 192.26/192.40 inference(rename_variables,[],[3845])). % 192.26/192.40 cnf(13336,plain, % 192.26/192.40 (P24(x133361,x133361,f36(x133361),x133362)), % 192.26/192.40 inference(rename_variables,[],[3707])). % 192.26/192.40 cnf(13340,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x133401,a897)),x133402),f214(f911(x133401,a897))))), % 192.26/192.40 inference(rename_variables,[],[3845])). % 192.26/192.40 cnf(13341,plain, % 192.26/192.40 (P24(x133411,x133411,f36(x133411),x133412)), % 192.26/192.40 inference(rename_variables,[],[3707])). % 192.26/192.40 cnf(13345,plain, % 192.26/192.40 (P24(x133451,x133451,f36(x133451),x133452)), % 192.26/192.40 inference(rename_variables,[],[3707])). % 192.26/192.40 cnf(13348,plain, % 192.26/192.40 (~P1(f295(f295(f208(f911(x133481,a897)),x133482),f176(f911(x133481,a897))))), % 192.26/192.40 inference(rename_variables,[],[4715])). % 192.26/192.40 cnf(13352,plain, % 192.26/192.40 (~P1(f295(f295(f208(a902),x133521),x133521))), % 192.26/192.40 inference(rename_variables,[],[4691])). % 192.26/192.40 cnf(13361,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x133611,a897)),x133612),f214(f911(x133611,a897))))), % 192.26/192.40 inference(rename_variables,[],[3845])). % 192.26/192.40 cnf(13366,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x133661,a897)),f176(f911(x133661,a897))),x133662))), % 192.26/192.40 inference(rename_variables,[],[3907])). % 192.26/192.40 cnf(13370,plain, % 192.26/192.40 (E(f34(x133701,x133702,x133703,x133704,x133705,x133706,x133707,x133708,x133709,a25),x133702)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13374,plain, % 192.26/192.40 (~P1(f295(f295(f297(x133741),x133742),f176(f911(x133741,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(13379,plain, % 192.26/192.40 (P24(x133791,x133791,f36(x133791),x133792)), % 192.26/192.40 inference(rename_variables,[],[3707])). % 192.26/192.40 cnf(13382,plain, % 192.26/192.40 (P1(f295(f295(f297(x133821),x133822),f214(f911(x133821,a897))))), % 192.26/192.40 inference(rename_variables,[],[3627])). % 192.26/192.40 cnf(13386,plain, % 192.26/192.40 (~P1(f295(f295(f297(x133861),x133862),f176(f911(x133861,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(13389,plain, % 192.26/192.40 (~P1(f295(f295(f297(x133891),x133892),f176(f911(x133891,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(13396,plain, % 192.26/192.40 (E(f34(x133961,x133962,x133963,x133964,x133965,x133966,x133967,x133968,x133969,a25),x133962)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13398,plain, % 192.26/192.40 (~E(f295(a119,x133981),x133981)), % 192.26/192.40 inference(rename_variables,[],[4612])). % 192.26/192.40 cnf(13401,plain, % 192.26/192.40 (P1(f295(f295(f208(a902),x134011),f295(a119,x134011)))), % 192.26/192.40 inference(rename_variables,[],[3542])). % 192.26/192.40 cnf(13402,plain, % 192.26/192.40 (~E(f295(a119,x134021),x134021)), % 192.26/192.40 inference(rename_variables,[],[4612])). % 192.26/192.40 cnf(13405,plain, % 192.26/192.40 (P1(f295(f295(f208(a902),x134051),f295(a119,f295(f295(f83(a902),x134052),x134051))))), % 192.26/192.40 inference(rename_variables,[],[3908])). % 192.26/192.40 cnf(13406,plain, % 192.26/192.40 (P1(f295(f295(f208(a902),x134061),f295(a119,x134061)))), % 192.26/192.40 inference(rename_variables,[],[3542])). % 192.26/192.40 cnf(13410,plain, % 192.26/192.40 (~E(f295(a119,x134101),x134101)), % 192.26/192.40 inference(rename_variables,[],[4612])). % 192.26/192.40 cnf(13415,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),f2(a1)),f295(f107(a1),x134151)))), % 192.26/192.40 inference(rename_variables,[],[3575])). % 192.26/192.40 cnf(13418,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),f2(a902)),x134181))), % 192.26/192.40 inference(rename_variables,[],[3494])). % 192.26/192.40 cnf(13419,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x134191),x134191))), % 192.26/192.40 inference(rename_variables,[],[3474])). % 192.26/192.40 cnf(13422,plain, % 192.26/192.40 (~E(f295(a119,x134221),f2(a902))), % 192.26/192.40 inference(rename_variables,[],[4624])). % 192.26/192.40 cnf(13427,plain, % 192.26/192.40 (~P1(f295(f295(f297(x134271),x134272),f176(f911(x134271,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(13429,plain, % 192.26/192.40 (~P43(x134291,x134292,f207(a902),x134293,x134294)), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3152,3154,3158,3161,3170,3176,3183,3186,3187,3194,3206,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,4711,11813,11848,11888,11891,11924,13122,13126,3899,3676,3677,13041,13044,13047,13050,13080,4040,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,4144,11312,12434,12507,12567,12609,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,3906,11231,11237,11259,12249,12458,12746,3761,11378,11492,12484,12591,12601,12697,12741,12749,4224,3907,10952,11331,11498,11532,11546,12696,12735,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,12600,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,11150,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368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% 192.26/192.40 cnf(13430,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),f2(a902)),x134301))), % 192.26/192.40 inference(rename_variables,[],[3494])). % 192.26/192.40 cnf(13432,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x134321),x134321))), % 192.26/192.40 inference(rename_variables,[],[3474])). % 192.26/192.40 cnf(13437,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),f295(f82(a1),f295(f107(a1),x134371))),f2(a1)))), % 192.26/192.40 inference(rename_variables,[],[3899])). % 192.26/192.40 cnf(13438,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),x134381),x134381))), % 192.26/192.40 inference(rename_variables,[],[3475])). % 192.26/192.40 cnf(13441,plain, % 192.26/192.40 (P1(f295(f62(a902),f271(a902,x134411,x134412)))), % 192.26/192.40 inference(rename_variables,[],[3677])). % 192.26/192.40 cnf(13442,plain, % 192.26/192.40 (E(f295(f295(f205(a902),f295(a119,x134421)),f295(a119,x134422)),f295(a119,f295(f295(f205(a902),x134421),x134422)))), % 192.26/192.40 inference(rename_variables,[],[3640])). % 192.26/192.40 cnf(13445,plain, % 192.26/192.40 (P1(f295(f62(a902),f271(a902,x134451,x134452)))), % 192.26/192.40 inference(rename_variables,[],[3677])). % 192.26/192.40 cnf(13446,plain, % 192.26/192.40 (E(f295(f295(f206(a902),f295(a119,x134461)),f295(a119,x134462)),f295(a119,f295(f295(f206(a902),x134461),x134462)))), % 192.26/192.40 inference(rename_variables,[],[3641])). % 192.26/192.40 cnf(13449,plain, % 192.26/192.40 (P1(f295(f62(a902),f271(a902,x134491,x134492)))), % 192.26/192.40 inference(rename_variables,[],[3677])). % 192.26/192.40 cnf(13453,plain, % 192.26/192.40 (P1(f295(f62(a902),f271(a902,x134531,x134532)))), % 192.26/192.40 inference(rename_variables,[],[3677])). % 192.26/192.40 cnf(13457,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x134571,a897)),f295(f160(x134571),f295(f125(x134571,x134572),x134573))),f295(f160(x134571),x134573)))), % 192.26/192.40 inference(rename_variables,[],[4100])). % 192.26/192.40 cnf(13458,plain, % 192.26/192.40 (E(f295(f177(a905),x134581),f2(a902))), % 192.26/192.40 inference(rename_variables,[],[3312])). % 192.26/192.40 cnf(13461,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x134611,a897)),f295(f160(x134611),f295(f295(f161(x134611),x134612),x134613))),f295(f160(x134611),x134613)))), % 192.26/192.40 inference(rename_variables,[],[4140])). % 192.26/192.40 cnf(13466,plain, % 192.26/192.40 (E(f295(f295(f16(x134661,x134662),x134663),x134664),x134663)), % 192.26/192.40 inference(rename_variables,[],[3463])). % 192.26/192.40 cnf(13479,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),f2(a1)),f295(f107(a1),x134791)))), % 192.26/192.40 inference(rename_variables,[],[3575])). % 192.26/192.40 cnf(13482,plain, % 192.26/192.40 (~P1(f295(f295(f297(x134821),x134822),f176(f911(x134821,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(13483,plain, % 192.26/192.40 (E(f34(x134831,x134832,x134833,x134834,x134835,x134836,x134837,x134838,x134839,a25),x134832)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13484,plain, % 192.26/192.40 (P24(x134841,x134841,f36(x134841),x134842)), % 192.26/192.40 inference(rename_variables,[],[3707])). % 192.26/192.40 cnf(13488,plain, % 192.26/192.40 (E(f34(x134881,x134882,x134883,x134884,x134885,x134886,x134887,x134888,x134889,a25),x134882)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13489,plain, % 192.26/192.40 (P24(x134891,x134891,f36(x134891),x134892)), % 192.26/192.40 inference(rename_variables,[],[3707])). % 192.26/192.40 cnf(13494,plain, % 192.26/192.40 (E(f34(x134941,x134942,x134943,x134944,x134945,x134946,x134947,x134948,x134949,a25),x134942)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13495,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),x134951),x134951))), % 192.26/192.40 inference(rename_variables,[],[3475])). % 192.26/192.40 cnf(13498,plain, % 192.26/192.40 (E(f34(x134981,x134982,x134983,x134984,x134985,x134986,x134987,x134988,x134989,a25),x134982)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13499,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),x134991),x134991))), % 192.26/192.40 inference(rename_variables,[],[3475])). % 192.26/192.40 cnf(13502,plain, % 192.26/192.40 (E(f34(x135021,x135022,x135023,x135024,x135025,x135026,x135027,x135028,x135029,a25),x135022)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13503,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),x135031),x135031))), % 192.26/192.40 inference(rename_variables,[],[3475])). % 192.26/192.40 cnf(13505,plain, % 192.26/192.40 (P1(f295(f295(f208(f911(a1,a897)),f269(a1,f81(a1),f2(a1))),f269(a1,f2(a1),f81(a1))))), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,13379,13484,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,13396,13483,13488,13494,13498,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3152,3154,3158,3161,3170,3176,3183,3186,3187,3194,3206,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,12049,13458,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,13299,13466,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,3571,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,4711,11813,11848,11888,11891,11924,13122,13126,3899,3676,3677,13041,13044,13047,13050,13080,13083,13441,13445,13449,4040,3640,13442,3641,13446,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,13275,13457,4140,13461,4144,11312,12434,12507,12567,12609,13302,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,13312,13438,13495,13499,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,13427,13482,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,13415,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,4426,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,3906,11231,11237,11259,12249,12458,12746,3761,11378,11492,12484,12591,12601,12697,12741,12749,12858,4224,3907,10952,11331,11498,11532,11546,12696,12735,13366,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,12600,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,11150,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657,8658,8659,8820,9087,9088,9164,9180,9198,9311,9348,9380,9400,9439,9477,9661,9930,10175,10176,10317,5788,6572,6573,6661,6681,6682,7089,7308,8730,8990,9006,9007,9191,9192,9257,9258,9525,9526,9527,9528,9724,9993,10421,10422,6643,7539,7783,7784,8559])). % 192.26/192.40 cnf(13507,plain, % 192.26/192.40 (P1(f295(f295(f208(f911(a1,a897)),f269(a1,f2(a1),f2(a1))),f269(a1,f295(f82(a1),f295(f107(a1),f295(a119,x135071))),f2(a1))))), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,13379,13484,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,13396,13483,13488,13494,13498,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3152,3154,3158,3161,3170,3176,3183,3186,3187,3194,3206,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,12049,13458,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,13299,13466,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,3571,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,3910,11944,3455,3554,11772,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,4711,11813,11848,11888,11891,11924,13122,13126,3899,13437,3676,3677,13041,13044,13047,13050,13080,13083,13441,13445,13449,4040,3640,13442,3641,13446,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,13275,13457,4140,13461,4144,11312,12434,12507,12567,12609,13302,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,13312,13438,13495,13499,13503,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,13427,13482,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,13415,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,4426,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,3906,11231,11237,11259,12249,12458,12746,3761,11378,11492,12484,12591,12601,12697,12741,12749,12858,4224,3907,10952,11331,11498,11532,11546,12696,12735,13366,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,12600,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,11150,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657,8658,8659,8820,9087,9088,9164,9180,9198,9311,9348,9380,9400,9439,9477,9661,9930,10175,10176,10317,5788,6572,6573,6661,6681,6682,7089,7308,8730,8990,9006,9007,9191,9192,9257,9258,9525,9526,9527,9528,9724,9993,10421,10422,6643,7539,7783,7784,8559,8560])). % 192.26/192.40 cnf(13510,plain, % 192.26/192.40 (P1(f295(f295(f207(a1),f295(f82(a1),f295(f107(a1),x135101))),f2(a1)))), % 192.26/192.40 inference(rename_variables,[],[3899])). % 192.26/192.40 cnf(13514,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),f2(a902)),x135141))), % 192.26/192.40 inference(rename_variables,[],[3494])). % 192.26/192.40 cnf(13515,plain, % 192.26/192.40 (P1(f295(f295(f208(a902),f2(a902)),f295(a119,x135151)))), % 192.26/192.40 inference(rename_variables,[],[3554])). % 192.26/192.40 cnf(13516,plain, % 192.26/192.40 (E(f34(x135161,x135162,x135163,x135164,x135165,x135166,x135167,x135168,x135169,a25),x135162)), % 192.26/192.40 inference(rename_variables,[],[4586])). % 192.26/192.40 cnf(13517,plain, % 192.26/192.40 (~E(f295(a119,x135171),f2(a902))), % 192.26/192.40 inference(rename_variables,[],[4624])). % 192.26/192.40 cnf(13519,plain, % 192.26/192.40 (P1(f295(f49(f34(x135191,f295(f295(f83(a902),f295(f295(f84(a902),f295(f216(a902,a902),f295(f295(f217(a902,a902),f2(a902)),x135192))),f295(a119,f295(f295(f83(a902),x135193),f295(f227(a902,a902),f295(f295(f217(a902,a902),f2(a902)),x135192)))))),f295(f227(a902,a902),f295(f295(f217(a902,a902),f2(a902)),x135192))),x135194,x135195,x135196,x135197,x135198,x135199,x1351910,a25),f295(a119,f295(f295(f83(a902),x135193),f295(f227(a902,a902),f295(f295(f217(a902,a902),f2(a902)),x135192))))),f295(f295(f217(a902,a902),f2(a902)),x135192)))), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,13379,13484,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,13396,13483,13488,13494,13498,13502,13516,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,13422,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3147,3152,3154,3158,3161,3170,3176,3183,3186,3187,3194,3206,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,12049,13458,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,13299,13466,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,3571,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3651,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,13406,3910,11944,3455,3554,11772,12064,13515,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,4711,11813,11848,11888,11891,11924,13122,13126,3899,13437,3676,3677,13041,13044,13047,13050,13080,13083,13441,13445,13449,4040,3640,13442,3641,13446,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,13275,13457,4140,13461,4144,11312,12434,12507,12567,12609,13302,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,13312,13438,13495,13499,13503,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,13427,13482,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,13415,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,13430,13514,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,4426,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,3906,11231,11237,11259,12249,12458,12746,3761,11378,11492,12484,12591,12601,12697,12741,12749,12858,4224,3907,10952,11331,11498,11532,11546,12696,12735,13366,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,12600,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,11150,13405,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657,8658,8659,8820,9087,9088,9164,9180,9198,9311,9348,9380,9400,9439,9477,9661,9930,10175,10176,10317,5788,6572,6573,6661,6681,6682,7089,7308,8730,8990,9006,9007,9191,9192,9257,9258,9525,9526,9527,9528,9724,9993,10421,10422,6643,7539,7783,7784,8559,8560,9049,9069])). % 192.26/192.40 cnf(13583,plain, % 192.26/192.40 (~P1(f295(f295(f208(a1),f2(a1)),f2(a1)))), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,13379,13484,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,13396,13483,13488,13494,13498,13502,13516,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,13422,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3146,3147,3152,3154,3157,3158,3161,3170,3176,3183,3186,3187,3194,3206,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,12049,13458,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,13299,13466,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,3571,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3651,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,13406,3910,11944,3455,3554,11772,12064,13515,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,13311,4711,11813,11848,11888,11891,11924,13122,13126,3899,13437,3676,3677,13041,13044,13047,13050,13080,13083,13441,13445,13449,4040,3640,13442,3641,13446,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,13275,13457,4140,13461,4144,11312,12434,12507,12567,12609,13302,4145,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,13312,13438,13495,13499,13503,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,13427,13482,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,13415,13479,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,13430,13514,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,4426,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,3906,11231,11237,11259,12249,12458,12746,3761,11378,11492,12484,12591,12601,12697,12741,12749,12858,4224,3907,10952,11331,11498,11532,11546,12696,12735,13366,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,12600,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,11150,13405,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657,8658,8659,8820,9087,9088,9164,9180,9198,9311,9348,9380,9400,9439,9477,9661,9930,10175,10176,10317,5788,6572,6573,6661,6681,6682,7089,7308,8730,8990,9006,9007,9191,9192,9257,9258,9525,9526,9527,9528,9724,9993,10421,10422,6643,7539,7783,7784,8559,8560,9049,9069,9994,10420,4777,4815,4816,4817,4874,4883,5020,5067,5097,5156,5220,5333,5353,5391,5394,5396,5398,5399,5423,5502,5524,5656,5726,5727,5728,5843])). % 192.26/192.40 cnf(13585,plain, % 192.26/192.40 (P1(f295(f295(f208(a1),f2(a1)),f295(f77(a1),f81(a1))))), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,13379,13484,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,13396,13483,13488,13494,13498,13502,13516,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,13422,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3146,3147,3152,3154,3157,3158,3161,3170,3176,3183,3186,3187,3194,3206,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,12049,13458,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,13299,13466,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,3571,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3651,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,13406,3910,11944,3455,3554,11772,12064,13515,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,13311,4711,11813,11848,11888,11891,11924,13122,13126,3899,13437,3676,3677,13041,13044,13047,13050,13080,13083,13441,13445,13449,4040,3640,13442,3641,13446,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,13275,13457,4140,13461,4144,11312,12434,12507,12567,12609,13302,4145,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,13312,13438,13495,13499,13503,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,13427,13482,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,13415,13479,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,13430,13514,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,4426,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,3906,11231,11237,11259,12249,12458,12746,3761,11378,11492,12484,12591,12601,12697,12741,12749,12858,4224,3907,10952,11331,11498,11532,11546,12696,12735,13366,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,12600,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,11150,13405,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657,8658,8659,8820,9087,9088,9164,9180,9198,9311,9348,9380,9400,9439,9477,9661,9930,10175,10176,10317,5788,6572,6573,6661,6681,6682,7089,7308,8730,8990,9006,9007,9191,9192,9257,9258,9525,9526,9527,9528,9724,9993,10421,10422,6643,7539,7783,7784,8559,8560,9049,9069,9994,10420,4777,4815,4816,4817,4874,4883,5020,5067,5097,5156,5220,5333,5353,5391,5394,5396,5398,5399,5423,5502,5524,5656,5726,5727,5728,5843,5844])). % 192.26/192.40 cnf(13601,plain, % 192.26/192.40 (~P1(f295(f295(f208(a902),f295(a119,f295(f295(f83(a902),x136011),x136012))),f295(a119,x136011)))), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,13379,13484,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,13396,13483,13488,13494,13498,13502,13516,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,13422,3086,3098,3100,3102,3103,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3139,3140,3141,3142,3143,3144,3146,3147,3152,3154,3157,3158,3161,3170,3176,3183,3186,3187,3194,3206,3212,3215,3222,3228,3229,3231,3244,3256,3258,3259,3260,3264,3265,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4590,4002,11710,3530,12886,3380,3341,3336,4123,4011,3312,12049,13458,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,13299,13466,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,3571,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3651,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,13406,3910,11944,3455,3554,11772,12064,13515,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,13311,4711,11813,11848,11888,11891,11924,13122,13126,3899,13437,3676,3677,13041,13044,13047,13050,13080,13083,13441,13445,13449,4040,3640,13442,3641,13446,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,13275,13457,4140,13461,4144,11312,12434,12507,12567,12609,13302,4145,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,13312,13438,13495,13499,13503,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,13427,13482,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,13415,13479,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,13430,13514,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,4426,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,3906,11231,11237,11259,12249,12458,12746,3761,11378,11492,12484,12591,12601,12697,12741,12749,12858,4224,3907,10952,11331,11498,11532,11546,12696,12735,13366,3732,10869,10872,10958,11144,3731,4720,11941,4716,13025,4721,10708,10811,10817,11016,11769,12546,12555,12597,12680,12793,4319,11092,12564,12579,12600,4228,3932,12864,3887,3888,4718,10544,10547,10910,10913,11810,12012,12805,4719,11921,12017,3908,10875,11150,13405,4163,4734,4760,4821,4852,4873,4880,4882,4921,4950,4956,5043,5069,5070,5105,5133,5134,5157,5158,5171,5174,5202,5208,5225,5228,5229,5232,5237,5238,5260,5284,5286,5287,5297,5302,5308,5345,5346,5354,5362,5366,5368,5382,5384,5390,5393,5406,5412,5415,5416,5420,5452,5471,5479,5481,5482,5485,5486,5489,5499,5501,5507,5508,5509,5515,5519,5520,5521,5529,5533,5534,5539,5552,5560,5572,5574,5582,5584,5585,5588,5592,5618,5632,5633,5648,5660,5682,5688,5708,5709,5712,5731,5739,5740,5745,5746,5756,5757,5769,5773,5782,5783,5785,5786,5802,5807,5816,5817,5828,5835,5848,5852,5855,5861,5862,5863,5866,5871,5906,5907,5910,5912,5914,5916,5917,5918,5920,5922,5924,5929,5936,5951,5965,5971,5972,5975,5986,5987,5994,5997,5999,6004,6046,6058,6067,6070,6079,6083,6084,6085,6086,6087,6091,6095,6107,6113,6131,6134,6146,6172,6186,6210,6219,6228,6229,6232,6246,6248,6250,6252,6267,6268,6271,6273,6276,6277,6290,6296,6297,6298,6300,6302,6336,6337,6344,6347,6354,6388,6390,6392,6394,6403,6405,6407,6413,6415,6421,6424,6432,6441,6443,6444,6450,6472,6473,6474,6476,6482,6487,6488,6517,6522,6523,6525,6526,6527,6529,6530,6531,6532,6540,6574,6575,6576,6585,6607,6608,6628,6630,6641,6642,6648,6678,6680,6693,6697,6732,6734,6735,6789,6812,6852,6871,6880,6881,6882,6883,6899,6900,6907,6919,6922,6924,6926,6927,6928,6930,6944,6955,6956,6957,6970,7023,7034,7036,7040,7057,7058,7094,7101,7106,7137,7167,7224,7253,7309,7329,7338,7342,7402,7410,7411,7412,7413,7471,7473,7487,7497,7498,7499,7518,7522,7524,7571,7583,7598,7622,7634,7646,7648,7651,7692,7693,7711,7778,7797,7820,7845,7858,7872,7885,7893,7894,7922,7924,7926,7934,7974,7984,8009,8069,8101,8134,8184,8200,8202,8217,8218,8229,8291,8357,8382,8387,8402,8429,8430,8524,8526,8528,8533,8550,8554,8569,8590,8601,8603,8616,8622,8623,8624,8625,8626,8627,8649,8664,8665,8681,8683,8687,8688,8689,8690,8691,8709,8710,8711,8722,8735,8738,8749,8755,8757,8761,8762,8763,8764,8765,8774,8782,8783,8784,8794,8797,8813,8814,8844,8857,8865,8884,8913,8915,8916,8917,8918,8930,8931,8954,8963,8975,8977,8978,8981,9004,9005,9018,9071,9077,9083,9085,9102,9106,9114,9115,9116,9202,9230,9231,9232,9244,9261,9267,9268,9296,9297,9364,9405,9406,9407,9425,9451,9462,9468,9471,9496,9497,9523,9580,9585,9588,9617,9618,9619,9643,9644,9658,9675,9680,9683,9697,9722,9742,9750,9751,9752,9753,9768,9770,9775,9804,9805,9811,9812,9816,9865,9866,9899,9918,9921,9929,9939,9963,9997,10000,10004,10058,10100,10101,10115,10116,10137,10142,10189,10278,10316,10348,10350,10352,10377,10378,10433,10448,2,8,9,4747,4748,4766,4810,4811,4813,4845,4846,4856,4907,4909,4955,5084,5085,5098,5122,5177,5178,5184,5185,5187,5189,5204,5205,5213,5226,5227,5235,5255,5256,5273,5278,5279,5280,5281,5285,5293,5296,5303,5359,5364,5365,5370,5376,5403,5413,5418,5434,5451,5458,5459,5460,5476,5495,5497,5498,5505,5512,5513,5525,5526,5527,5528,5530,5531,5535,5536,5537,5538,5568,5569,5570,5578,5579,5580,5581,5624,5629,5631,5667,5669,5670,5672,5673,5675,5676,5678,5687,5692,5693,5694,5696,5698,5699,5700,5701,5702,5703,5710,5720,5723,5734,5750,5751,5754,5763,5765,5766,5767,5794,5804,5819,5820,5829,5831,5832,5834,5838,5873,5877,5879,5938,5973,5974,5979,5985,5988,5989,5990,5991,5998,6009,6010,6012,6013,6021,6043,6071,6090,6094,6096,6106,6121,6125,6128,6129,6130,6148,6159,6160,6188,6189,6193,6212,6215,6218,6240,6241,6269,6272,6279,6289,6295,6299,6306,6307,6308,6309,6339,6355,6406,6445,6447,6469,6470,6475,6479,6480,6483,6498,6513,6534,6535,6538,6541,6551,6567,6588,6595,6597,6612,6613,6616,6617,6619,6621,6622,6623,6625,6627,6629,6634,6635,6637,6638,6644,6646,6689,6692,6707,6709,6710,6711,6745,6750,6752,6757,6758,6766,6769,6784,6807,6808,6810,6811,6822,6826,6844,6847,6865,6894,6895,6896,6901,6915,6934,6936,6938,6940,6945,6951,6953,6967,6972,7009,7010,7011,7025,7026,7028,7029,7048,7049,7066,7092,7114,7126,7128,7130,7132,7133,7165,7166,7170,7171,7178,7179,7181,7183,7205,7215,7216,7227,7237,7277,7287,7292,7299,7310,7315,7317,7323,7332,7346,7363,7384,7386,7405,7457,7458,7459,7461,7463,7467,7472,7494,7538,7567,7581,7597,7630,7635,7654,7676,7677,7694,7697,7698,7708,7727,7729,7731,7733,7734,7735,7760,7787,7788,7819,7821,7822,7823,7828,7852,7869,7874,7880,7882,7890,7901,7902,7904,7927,7932,7957,8022,8023,8024,8072,8078,8079,8103,8104,8121,8122,8123,8191,8192,8220,8251,8261,8283,8313,8317,8323,8335,8353,8358,8381,8427,8458,8470,8487,8490,8516,8541,8604,8605,8608,8609,8628,8713,8714,8715,8716,8744,8787,8788,8817,8861,8863,8883,8887,8889,8914,8932,8949,8959,8965,8996,8999,9015,9022,9024,9068,9147,9264,9270,9274,9294,9302,9327,9329,9332,9338,9340,9341,9351,9352,9371,9377,9386,9437,9454,9508,9509,9515,9572,9614,9621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657,8658,8659,8820,9087,9088,9164,9180,9198,9311,9348,9380,9400,9439,9477,9661,9930,10175,10176,10317,5788,6572,6573,6661,6681,6682,7089,7308,8730,8990,9006,9007,9191,9192,9257,9258,9525,9526,9527,9528,9724,9993,10421,10422,6643,7539,7783,7784,8559,8560,9049,9069,9994,10420,4777,4815,4816,4817,4874,4883,5020,5067,5097,5156,5220,5333,5353,5391,5394,5396,5398,5399,5423,5502,5524,5656,5726,5727,5728,5843,5844,5869,5870,5874,5926,5932,5943,5949,6025])). % 192.26/192.40 cnf(13696,plain, % 192.26/192.40 (~E(f295(a119,x136961),x136961)), % 192.26/192.40 inference(rename_variables,[],[4612])). % 192.26/192.40 cnf(13762,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137621,x137622)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13765,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137651,x137652)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13768,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137681,x137682)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13771,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137711,x137712)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13774,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137741,x137742)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13777,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137771,x137772)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13782,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137821,x137822)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13786,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137861,x137862)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13789,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137891,x137892)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13792,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137921,x137922)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13799,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x137991,x137992)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13802,plain, % 192.26/192.40 (P1(f295(f62(a902),f269(a902,x138021,x138022)))), % 192.26/192.40 inference(rename_variables,[],[3678])). % 192.26/192.40 cnf(13825,plain, % 192.26/192.40 (~P24(f911(f911(x138251,x138252),a897),x138252,x138253,f214(f911(f911(f911(x138251,x138252),a897),a897)))), % 192.26/192.40 inference(scs_inference,[],[3077,3707,11385,12437,12537,12540,12630,12683,12687,12701,12762,12893,12895,13265,13269,13330,13336,13341,13345,13379,13484,13489,3713,12504,12959,12961,3722,3441,12878,12880,12882,3442,12922,3412,4660,4376,12987,4117,12931,12933,12935,3445,12978,3291,3350,12918,3351,12718,12965,3352,12953,3353,3354,4625,3775,13002,13004,4586,10464,10531,10534,10625,10628,10943,10968,11243,11246,11637,11661,11664,11677,11681,11724,11727,11730,11733,11743,11784,11797,11825,11829,11840,11845,11851,11953,11956,11963,11967,11977,12068,12100,12407,12606,12812,12869,12871,12876,12891,12912,12943,12949,12951,12957,13000,13206,13370,13396,13483,13488,13494,13498,13502,13516,4587,11678,3763,11289,4612,10467,10474,10485,10496,10598,10601,10604,10705,10838,10899,11355,11358,11576,11667,11674,11688,11736,11739,11773,11854,11911,11927,12228,12253,12265,12297,12389,12500,12667,12693,12732,12867,13155,13398,13402,13410,13696,3531,3492,12914,3675,4624,10689,10791,11266,11367,11370,11373,12452,13087,13422,13517,3081,3086,3090,3098,3100,3102,3103,3105,3106,3108,3109,3110,3112,3113,3116,3117,3121,3122,3124,3125,3128,3130,3134,3139,3140,3141,3142,3143,3144,3146,3147,3152,3154,3155,3157,3158,3161,3164,3167,3170,3173,3176,3180,3183,3186,3187,3188,3191,3194,3197,3200,3203,3206,3209,3212,3215,3216,3219,3222,3228,3229,3231,3233,3236,3239,3242,3244,3245,3250,3253,3256,3258,3259,3260,3264,3265,3267,3268,3269,4607,3349,4610,3800,3788,11127,11130,4454,3453,3515,3429,3787,3408,3418,3714,11168,3316,13264,13268,13331,3318,4288,4590,4002,11710,3530,12886,3524,3377,3380,3830,3341,3336,4123,4011,3740,3312,12049,13458,3843,3324,3298,3303,3280,3359,3485,12765,12834,3532,11104,11240,12501,12722,3407,3427,10733,10736,4489,4643,10522,10686,10961,11573,11824,11828,11960,12660,4652,3463,12052,13299,13466,4048,4705,11390,11615,11618,3862,12898,3458,3579,3786,3571,4680,12653,3545,12929,3374,3375,10590,10919,4689,3630,3367,3417,3394,11700,4577,4569,4226,12704,12824,4089,11309,11447,11501,12640,12646,12776,12779,12802,4526,10652,4723,11218,11458,11567,11590,11621,11627,12585,4724,11342,11461,11570,4725,11464,11512,4726,11519,4727,3393,3666,12543,12582,12670,3826,3620,12652,4487,4488,3651,3688,4641,11693,3805,3765,3806,3969,3736,13189,13193,13197,13201,13211,4013,12534,3653,3901,3542,10609,10728,10805,10880,10883,10922,11025,11282,11538,11885,12140,12224,12287,12360,12398,12478,12481,12806,13070,13109,13112,13154,13172,13401,13406,3910,11944,3455,3554,11772,12064,13515,3729,4695,10499,10502,10528,10649,10822,11033,11046,11176,11607,11703,11884,12115,12120,12139,12336,12339,12419,12428,12588,12708,13016,13035,13038,13062,13113,13281,13286,13306,13311,4711,11813,11848,11888,11891,11924,13122,13126,3899,13437,13510,3676,3677,13041,13044,13047,13050,13080,13083,13441,13445,13449,13453,3678,13762,13765,13768,13771,13774,13777,13782,13786,13789,13792,13799,13802,3681,4040,3640,13442,3641,13446,3501,3502,3476,4692,3373,4638,4152,3659,4712,4220,11587,3785,3514,12071,12074,12508,12610,12786,4194,4151,12217,12558,4100,11101,12372,12392,12568,12721,13275,13457,4140,13461,4144,11312,12434,12507,12567,12609,13302,4145,3827,11895,12227,12367,12442,12491,12677,4119,4182,3845,11315,11398,11479,11541,12388,12459,12727,12799,12809,13272,13335,13340,13361,4715,11049,11469,12571,13348,3473,10618,10715,10866,10929,11789,11796,12023,12033,12067,12099,12197,12252,12449,12613,3474,11005,11052,11055,11086,11112,11157,11198,11234,12268,12271,12274,12277,12466,12469,12472,12475,12551,12738,12782,13063,13086,13164,13175,13180,13183,13186,13219,13230,13243,13292,13317,13320,13419,13432,3475,10700,10934,11028,11160,12103,12112,12203,12214,12233,12238,12280,12300,12317,13077,13223,13246,13282,13287,13307,13312,13438,13495,13499,13503,3550,12422,13142,13190,13194,13198,13202,13212,13216,4691,10539,10568,10657,10773,10800,11070,11115,11124,11395,11579,11863,11976,11998,12001,12004,12020,12171,12174,12177,12180,12264,12283,12286,12296,12348,12351,12354,12357,12429,12519,12522,12616,12619,12707,12731,12768,12843,13171,13352,3627,10886,11165,11215,11450,11453,11527,11604,11776,12029,12666,12846,13382,4707,11079,11089,11207,11225,11228,11292,11295,11298,11412,11422,11434,11472,11486,11495,11535,11582,11598,11601,11630,11646,11649,11894,12046,12080,12342,12345,12379,12423,12455,12594,12637,12643,12676,12750,12753,12772,12823,12829,12837,12849,12852,12861,13141,13158,13161,13253,13374,13386,13389,13427,13482,3536,10916,10946,10955,11559,12769,12783,13123,13127,13130,13133,3575,13415,13479,3566,3973,3914,10571,11947,11980,13104,4704,10519,10904,10907,11415,11431,11910,11966,12008,12030,12130,12159,12162,12165,12168,12418,12711,13323,13326,3494,10949,11109,11191,11981,12129,12322,12527,12552,12663,12712,13151,13418,13430,13514,3933,12077,13057,4265,3682,4702,3945,3979,4683,4686,4687,3448,3452,4685,4684,4426,3774,11940,4351,4717,10490,10493,10754,10780,10808,10814,10827,10845,11269,11766,12133,12136,4722,11301,11304,11489,11612,11655,4058,11652,12007,12011,12686,12700,12775,13329,390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621,9624,9625,9627,9628,9642,9663,9674,9687,9688,9691,9693,9720,9844,9845,9896,9933,9969,10083,10146,10167,10168,10223,10342,10367,10373,3,2781,2783,2795,2796,2797,2798,2801,2802,2803,2805,2806,2807,2808,2809,2811,2812,2813,2814,2819,2821,2822,2824,2825,2826,2827,2829,2843,2844,2849,2850,2851,2852,2853,2856,2858,2860,2861,2862,2863,2866,2867,2869,2870,2872,2873,2874,2875,2879,2880,2888,2889,2899,2902,2904,2905,2907,2908,2909,2911,2925,2935,2936,2941,2947,2948,2955,2957,2958,2959,2974,2975,2976,2979,2980,2981,3001,3003,3007,3008,3011,3012,3013,3026,3027,3028,5450,5494,5640,5641,5642,5721,5818,5847,5880,5896,5898,5904,5966,5967,5968,5969,5977,6011,6143,6177,6187,6209,6244,6280,6423,6428,6466,6467,6489,6491,6493,6500,6501,6502,6503,6504,6505,6506,6507,6590,6658,6659,6744,6777,6778,6819,6820,6952,6966,7037,7038,7042,7067,7090,7098,7100,7147,7168,7169,7186,7187,7226,7271,7272,7370,7439,7440,7441,7442,7456,7488,7543,7544,7553,7558,7559,7570,7600,7601,7602,7603,7741,7742,7744,7746,7752,7753,7965,7971,7972,7981,8019,8020,8099,8142,8204,8224,8225,8298,8395,8468,8469,8471,8502,8566,8567,8635,8656,8657,8658,8659,8820,9087,9088,9164,9180,9198,9311,9348,9380,9400,9439,9477,9661,9930,10175,10176,10317,5788,6572,6573,6661,6681,6682,7089,7308,8730,8990,9006,9007,9191,9192,9257,9258,9525,9526,9527,9528,9724,9993,10421,10422,6643,7539,7783,7784,8559,8560,9049,9069,9994,10420,4777,4815,4816,4817,4874,4883,5020,5067,5097,5156,5220,5333,5353,5391,5394,5396,5398,5399,5423,5502,5524,5656,5726,5727,5728,5843,5844,5869,5870,5874,5926,5932,5943,5949,6025,6103,6165,6251,6409,6533,6690,6889,7035,7142,7313,7527,7545,7608,7938,7940,8036,8098,8113,8114,8115,8201,9260,9420,9491,5099,5245,5249,5440,6152,6169,6179,6203,6214,6465,7258,7300,7504,7568,7994,8033,9091,9604,9605,10067,2782,2786,2787,2788,2790,2792,2793,2794,2799,2800,2804,2810,2815,2816,2823,2831,2847,2848,2855,2857,2859,2865,2871,2876,2906,2914,2919,2920,2923,2924,2929,2930,2932,2942,2943,2946,2952,2954,2963,2964,2971,2982,2983,2984,2985,3000,3006,3014,3022,3034,3046,3066,3072,3074,6056,6060,6061,6097,6098,6099,6100,6199,6286,6303,6348,6349,6581,6582,6583,6584,6760,6761,7184,7191,7192,7738,7739,6207,8318,8564])). % 192.26/192.40 cnf(13840,plain, % 192.26/192.40 (~E(f295(f295(f275(x138401),x138402),x138403),f176(f911(x138401,a897)))), % 192.26/192.40 inference(rename_variables,[],[4680])). % 192.26/192.40 cnf(13843,plain, % 192.26/192.40 (~E(f295(f295(f140(x138431),x138432),x138433),x138433)), % 192.26/192.40 inference(rename_variables,[],[4643])). % 192.26/192.40 cnf(13846,plain, % 192.26/192.40 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x138461),x138462)),x138462))), % 192.26/192.40 inference(rename_variables,[],[4718])). % 192.26/192.40 cnf(13870,plain, % 192.26/192.40 (~P1(f295(f295(f208(a902),x138701),f295(f295(f108(a902),x138701),x138702)))), % 192.26/192.40 inference(rename_variables,[],[12350])). % 192.26/192.40 cnf(13873,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x138731,a897)),x138732),f295(f295(f275(x138731),x138733),x138732)))), % 192.26/192.40 inference(rename_variables,[],[3906])). % 192.26/192.40 cnf(13879,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(f295(f84(a902),f295(a119,x138791)),f295(a119,x138791))),x138791))), % 192.26/192.40 inference(rename_variables,[],[10957])). % 192.26/192.40 cnf(13886,plain, % 192.26/192.40 (~E(f295(f295(f140(x138861),x138862),x138863),f120(x138861))), % 192.26/192.40 inference(rename_variables,[],[4652])). % 192.26/192.40 cnf(13895,plain, % 192.26/192.40 (~E(f295(f295(f140(x138951),x138952),x138953),x138953)), % 192.26/192.40 inference(rename_variables,[],[4643])). % 192.26/192.40 cnf(13898,plain, % 192.26/192.40 (E(f295(f295(f122(x138981),x138982),f120(x138981)),x138982)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(13903,plain, % 192.26/192.40 (P1(f295(f295(f297(x139031),f295(x139032,x139033)),f295(f276(x139034,x139031,x139032),f214(f911(x139034,a897)))))), % 192.26/192.40 inference(rename_variables,[],[4058])). % 192.26/192.40 cnf(13910,plain, % 192.26/192.40 (E(f295(x139101,f338(x139101,x139102,f295(x139101,x139103))),f295(x139101,x139103))), % 192.26/192.40 inference(rename_variables,[],[11256])). % 192.26/192.40 cnf(13913,plain, % 192.26/192.40 (P1(f295(f295(f208(a1),f295(f295(f23(a1),x139131),f81(a1))),x139131))), % 192.26/192.40 inference(rename_variables,[],[11027])). % 192.26/192.40 cnf(13918,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(x139181,x139181)),x139182),f213(x139181,f176(f911(x139181,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11224])). % 192.26/192.40 cnf(13925,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x139251,a897)),x139252),x139252))), % 192.26/192.40 inference(rename_variables,[],[3761])). % 192.26/192.40 cnf(13928,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),f46(a902,x139281,x139282)),x139281))), % 192.26/192.40 inference(rename_variables,[],[3914])). % 192.26/192.40 cnf(13950,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x139501,a897)),x139502),x139502))), % 192.26/192.40 inference(rename_variables,[],[3761])). % 192.26/192.40 cnf(13953,plain, % 192.26/192.40 (E(f295(f295(f122(x139531),x139532),f120(x139531)),x139532)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(13958,plain, % 192.26/192.40 (~P1(f295(f295(f297(a902),x139581),f295(f249(a902),f2(a902))))), % 192.26/192.40 inference(rename_variables,[],[12096])). % 192.26/192.40 cnf(13964,plain, % 192.26/192.40 (E(f295(x139641,f338(x139641,x139642,f295(x139641,x139643))),f295(x139641,x139643))), % 192.26/192.40 inference(rename_variables,[],[11256])). % 192.26/192.40 cnf(13971,plain, % 192.26/192.40 (~P34(x139711,x139712,x139713,f295(f295(f143(x139714,x139711),x139715),f295(a119,f120(x139714))),f120(x139712))), % 192.26/192.40 inference(rename_variables,[],[11503])). % 192.26/192.40 cnf(13974,plain, % 192.26/192.40 (~P1(f295(f295(f297(x139741),x139742),f295(f276(x139743,x139741,x139744),f176(f911(x139743,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11471])). % 192.26/192.40 cnf(13977,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x139771),x139771))), % 192.26/192.40 inference(rename_variables,[],[3474])). % 192.26/192.40 cnf(13980,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(a119,x139801)),x139801))), % 192.26/192.40 inference(rename_variables,[],[4704])). % 192.26/192.40 cnf(13983,plain, % 192.26/192.40 (~P1(f295(f295(f176(f911(x139831,f911(x139832,a897))),x139833),x139834))), % 192.26/192.40 inference(rename_variables,[],[4721])). % 192.26/192.40 cnf(13992,plain, % 192.26/192.40 (~E(f295(f295(f108(a902),f295(a119,x139921)),x139921),f295(a119,x139921))), % 192.26/192.40 inference(rename_variables,[],[11833])). % 192.26/192.40 cnf(13995,plain, % 192.26/192.40 (E(f295(x139951,f338(x139951,x139952,f295(x139951,x139953))),f295(x139951,x139953))), % 192.26/192.40 inference(rename_variables,[],[11256])). % 192.26/192.40 cnf(14002,plain, % 192.26/192.40 (~P1(f295(f295(f297(a902),x140021),f295(f249(a902),f2(a902))))), % 192.26/192.40 inference(rename_variables,[],[12096])). % 192.26/192.40 cnf(14005,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x140051),f295(f295(f83(a902),x140051),x140052)))), % 192.26/192.40 inference(rename_variables,[],[3731])). % 192.26/192.40 cnf(14010,plain, % 192.26/192.40 (~P1(f295(f295(f297(x140101),x140102),f176(f911(x140101,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(14017,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x140171,a897)),f295(f160(x140171),f162(x140171,x140172,x140173))),f295(f160(x140171),x140172)))), % 192.26/192.40 inference(rename_variables,[],[4144])). % 192.26/192.40 cnf(14023,plain, % 192.26/192.40 (P1(f295(f295(f208(a1),f295(f295(f23(a1),x140231),f81(a1))),x140231))), % 192.26/192.40 inference(rename_variables,[],[11027])). % 192.26/192.40 cnf(14028,plain, % 192.26/192.40 (E(f295(f295(f122(x140281),x140282),f120(x140281)),x140282)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(14044,plain, % 192.26/192.40 (~E(f295(f295(f140(x140441),x140442),x140443),x140443)), % 192.26/192.40 inference(rename_variables,[],[4643])). % 192.26/192.40 cnf(14055,plain, % 192.26/192.40 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x140551),x140552)),x140551))), % 192.26/192.40 inference(rename_variables,[],[4719])). % 192.26/192.40 cnf(14060,plain, % 192.26/192.40 (~E(f295(f295(f140(x140601),x140602),x140603),x140603)), % 192.26/192.40 inference(rename_variables,[],[4643])). % 192.26/192.40 cnf(14072,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x140721),x140721))), % 192.26/192.40 inference(rename_variables,[],[3474])). % 192.26/192.40 cnf(14075,plain, % 192.26/192.40 (E(f295(f276(x140751,x140751,f5(x140751)),x140752),x140752)), % 192.26/192.40 inference(rename_variables,[],[3533])). % 192.26/192.40 cnf(14082,plain, % 192.26/192.40 (~P1(f295(f295(f297(x140821),x140822),f176(f911(x140821,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(14089,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),f2(a902)),x140891))), % 192.26/192.40 inference(rename_variables,[],[3494])). % 192.26/192.40 cnf(14098,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x140981),f295(f295(f83(a902),x140981),x140982)))), % 192.26/192.40 inference(rename_variables,[],[3731])). % 192.26/192.40 cnf(14101,plain, % 192.26/192.40 (E(f295(f295(f122(x141011),x141012),f120(x141011)),x141012)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(14104,plain, % 192.26/192.40 (E(f295(f295(f122(x141041),x141042),f120(x141041)),x141042)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(14107,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(a119,x141071)),x141071))), % 192.26/192.40 inference(rename_variables,[],[4704])). % 192.26/192.40 cnf(14112,plain, % 192.26/192.40 (~E(f295(f295(f140(x141121),x141122),x141123),x141123)), % 192.26/192.40 inference(rename_variables,[],[4643])). % 192.26/192.40 cnf(14119,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(f295(f84(a902),f295(a119,x141191)),f295(a119,x141191))),x141191))), % 192.26/192.40 inference(rename_variables,[],[10957])). % 192.26/192.40 cnf(14140,plain, % 192.26/192.40 (~P1(f295(f67(a902,x141401,x141402,x141403,f214(f911(a902,a897))),x141404))), % 192.26/192.40 inference(rename_variables,[],[11548])). % 192.26/192.40 cnf(14148,plain, % 192.26/192.40 (~P1(f295(f295(f176(f911(x141481,f911(x141482,a897))),x141483),x141484))), % 192.26/192.40 inference(rename_variables,[],[4721])). % 192.26/192.40 cnf(14153,plain, % 192.26/192.40 (~P1(f295(f295(f297(x141531),x141532),f176(f911(x141531,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(14157,plain, % 192.26/192.40 (P34(x141571,x141572,x141573,f295(f295(f143(x141574,x141571),x141575),f34(x141576,f120(x141574),x141577,x141578,x141579,x1415710,x1415711,x1415712,x1415713,a25)),f120(x141572))), % 192.26/192.40 inference(rename_variables,[],[11507])). % 192.26/192.40 cnf(14164,plain, % 192.26/192.40 (E(f295(x141641,f338(x141641,x141642,f295(x141641,x141643))),f295(x141641,x141643))), % 192.26/192.40 inference(rename_variables,[],[11256])). % 192.26/192.40 cnf(14173,plain, % 192.26/192.40 (~P1(f295(f295(f297(a902),x141731),f295(f249(a902),f2(a902))))), % 192.26/192.40 inference(rename_variables,[],[12096])). % 192.26/192.40 cnf(14178,plain, % 192.26/192.40 (P1(f295(f295(f208(a1),f295(f295(f23(a1),x141781),f81(a1))),x141781))), % 192.26/192.40 inference(rename_variables,[],[11027])). % 192.26/192.40 cnf(14194,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),f2(a902)),x141941))), % 192.26/192.40 inference(rename_variables,[],[3494])). % 192.26/192.40 cnf(14208,plain, % 192.26/192.40 (~P1(f295(f295(f297(x142081),x142082),f295(f278(x142081,x142083,x142084),f176(f911(x142083,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11227])). % 192.26/192.40 cnf(14215,plain, % 192.26/192.40 (~P1(f295(f295(f176(f911(x142151,f911(x142152,a897))),x142153),x142154))), % 192.26/192.40 inference(rename_variables,[],[4721])). % 192.26/192.40 cnf(14222,plain, % 192.26/192.40 (~P1(f295(f295(f297(x142221),x142222),f176(f911(x142221,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(14227,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(a119,x142271)),x142271))), % 192.26/192.40 inference(rename_variables,[],[4704])). % 192.26/192.40 cnf(14230,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(x142301,x142301)),x142302),f213(x142301,f176(f911(x142301,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11224])). % 192.26/192.40 cnf(14233,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(f903(x142331),f903(x142331))),f295(f295(f217(f903(x142331),f903(x142331)),x142332),f120(x142331))),f146(x142331,x142333)))), % 192.26/192.40 inference(rename_variables,[],[4725])). % 192.26/192.40 cnf(14236,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(x142361,x142361)),x142362),f213(x142361,f176(f911(x142361,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11224])). % 192.26/192.40 cnf(14243,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(a119,x142431)),x142431))), % 192.26/192.40 inference(rename_variables,[],[4704])). % 192.26/192.40 cnf(14252,plain, % 192.26/192.40 (~P1(f295(f295(f208(a902),x142521),x142521))), % 192.26/192.40 inference(rename_variables,[],[4691])). % 192.26/192.40 cnf(14263,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x142631),x142631))), % 192.26/192.40 inference(rename_variables,[],[3474])). % 192.26/192.40 cnf(14276,plain, % 192.26/192.40 (~E(f295(a119,x142761),f2(a902))), % 192.26/192.40 inference(rename_variables,[],[4624])). % 192.26/192.40 cnf(14281,plain, % 192.26/192.40 (E(f295(f295(f122(x142811),x142812),f120(x142811)),x142812)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(14284,plain, % 192.26/192.40 (~P1(f295(f295(f297(x142841),x142842),f295(f278(x142841,x142843,x142844),f176(f911(x142843,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11227])). % 192.26/192.40 cnf(14287,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x142871,a897)),x142872),x142872))), % 192.26/192.40 inference(rename_variables,[],[3761])). % 192.26/192.40 cnf(14290,plain, % 192.26/192.40 (~P1(f295(f295(f297(a902),x142901),f295(f249(a902),f2(a902))))), % 192.26/192.40 inference(rename_variables,[],[12096])). % 192.26/192.40 cnf(14293,plain, % 192.26/192.40 (P1(f295(f295(f297(x142931),f295(x142932,x142933)),f295(f276(x142934,x142931,x142932),f214(f911(x142934,a897)))))), % 192.26/192.40 inference(rename_variables,[],[4058])). % 192.26/192.40 cnf(14301,plain, % 192.26/192.40 (P1(f295(f295(f297(x143011),f295(x143012,x143013)),f295(f276(x143014,x143011,x143012),f214(f911(x143014,a897)))))), % 192.26/192.40 inference(rename_variables,[],[4058])). % 192.26/192.40 cnf(14304,plain, % 192.26/192.40 (~P1(f295(f295(f297(a902),x143041),f295(f249(a902),f2(a902))))), % 192.26/192.40 inference(rename_variables,[],[12096])). % 192.26/192.40 cnf(14313,plain, % 192.26/192.40 (~P1(f295(f295(f297(a902),x143131),f295(f249(a902),f2(a902))))), % 192.26/192.40 inference(rename_variables,[],[12096])). % 192.26/192.40 cnf(14329,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x143291),f295(f295(f84(a902),x143291),x143291)))), % 192.26/192.40 inference(rename_variables,[],[3732])). % 192.26/192.40 cnf(14332,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x143321),f295(f295(f84(a902),x143321),x143321)))), % 192.26/192.40 inference(rename_variables,[],[3732])). % 192.26/192.40 cnf(14339,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x143391,a897)),f295(f160(x143391),f162(x143391,x143392,x143393))),f295(f160(x143391),x143392)))), % 192.26/192.40 inference(rename_variables,[],[4144])). % 192.26/192.40 cnf(14342,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(x143421,x143421)),x143422),f213(x143421,f176(f911(x143421,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11224])). % 192.26/192.40 cnf(14356,plain, % 192.26/192.40 (~P1(f295(f295(f297(x143561),x143562),f176(f911(x143561,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(14359,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x143591,a897)),f295(f160(x143591),f162(x143591,x143592,x143593))),f295(f160(x143591),x143592)))), % 192.26/192.40 inference(rename_variables,[],[4144])). % 192.26/192.40 cnf(14367,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x143671),f295(f295(f84(a902),x143671),x143671)))), % 192.26/192.40 inference(rename_variables,[],[3732])). % 192.26/192.40 cnf(14382,plain, % 192.26/192.40 (P1(f295(f295(f208(a1),f295(f295(f23(a1),x143821),f81(a1))),x143821))), % 192.26/192.40 inference(rename_variables,[],[11027])). % 192.26/192.40 cnf(14385,plain, % 192.26/192.40 (P1(f295(f295(f297(x143851),f295(x143852,x143853)),f295(f276(x143854,x143851,x143852),f214(f911(x143854,a897)))))), % 192.26/192.40 inference(rename_variables,[],[4058])). % 192.26/192.40 cnf(14390,plain, % 192.26/192.40 (~E(f295(f295(f140(x143901),x143902),x143903),x143903)), % 192.26/192.40 inference(rename_variables,[],[4643])). % 192.26/192.40 cnf(14400,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(f903(x144001),f903(x144001))),f295(f295(f217(f903(x144001),f903(x144001)),x144002),f120(x144001))),f134(x144001,x144003)))), % 192.26/192.40 inference(rename_variables,[],[4723])). % 192.26/192.40 cnf(14420,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x144201,a897)),f295(f160(x144201),f162(x144201,x144202,x144203))),f295(f160(x144201),x144202)))), % 192.26/192.40 inference(rename_variables,[],[4144])). % 192.26/192.40 cnf(14438,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(x144381,x144381)),x144382),f213(x144381,f176(f911(x144381,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11224])). % 192.26/192.40 cnf(14445,plain, % 192.26/192.40 (~E(f295(f295(f140(x144451),x144452),x144453),f120(x144451))), % 192.26/192.40 inference(rename_variables,[],[4652])). % 192.26/192.40 cnf(14448,plain, % 192.26/192.40 (~P1(f295(f295(f297(f910(x144481,x144481)),x144482),f213(x144481,f176(f911(x144481,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11224])). % 192.26/192.40 cnf(14451,plain, % 192.26/192.40 (E(f295(x144511,f338(x144511,x144512,f295(x144511,x144513))),f295(x144511,x144513))), % 192.26/192.40 inference(rename_variables,[],[11256])). % 192.26/192.40 cnf(14454,plain, % 192.26/192.40 (E(f295(f295(f122(x144541),x144542),f120(x144541)),x144542)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(14484,plain, % 192.26/192.40 (~E(x144841,f295(a119,x144841))), % 192.26/192.40 inference(rename_variables,[],[10554])). % 192.26/192.40 cnf(14489,plain, % 192.26/192.40 (P1(f295(f295(f208(a902),x144891),f295(a119,f295(f295(f83(a902),x144892),x144891))))), % 192.26/192.40 inference(rename_variables,[],[3908])). % 192.26/192.40 cnf(14497,plain, % 192.26/192.40 (~P1(f295(f295(f297(x144971),x144972),f176(f911(x144971,a897))))), % 192.26/192.40 inference(rename_variables,[],[4707])). % 192.26/192.40 cnf(14523,plain, % 192.26/192.40 (E(f295(x145231,f338(x145231,x145232,f295(x145231,x145233))),f295(x145231,x145233))), % 192.26/192.40 inference(rename_variables,[],[11256])). % 192.26/192.40 cnf(14528,plain, % 192.26/192.40 (~P1(f295(f295(f176(f911(x145281,f911(x145282,a897))),x145283),x145284))), % 192.26/192.40 inference(rename_variables,[],[4721])). % 192.26/192.40 cnf(14535,plain, % 192.26/192.40 (~P1(f295(f295(f208(a902),f295(f295(f83(a902),x145351),x145352)),x145351))), % 192.26/192.40 inference(rename_variables,[],[4719])). % 192.26/192.40 cnf(14541,plain, % 192.26/192.40 (~P1(f295(f295(f207(a902),f295(a119,x145411)),x145411))), % 192.26/192.40 inference(rename_variables,[],[4704])). % 192.26/192.40 cnf(14551,plain, % 192.26/192.40 (P1(f295(f295(f207(f911(x145511,a897)),f295(f160(x145511),f162(x145511,x145512,x145513))),f295(f160(x145511),x145512)))), % 192.26/192.40 inference(rename_variables,[],[4144])). % 192.26/192.40 cnf(14558,plain, % 192.26/192.40 (E(f295(f295(f122(x145581),x145582),f120(x145581)),x145582)), % 192.26/192.40 inference(rename_variables,[],[3408])). % 192.26/192.40 cnf(14590,plain, % 192.26/192.40 (~P1(f295(f295(f297(a902),x145901),f295(f249(a902),f2(a902))))), % 192.26/192.40 inference(rename_variables,[],[12096])). % 192.26/192.40 cnf(14614,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x146141),f295(f295(f84(a902),x146141),x146141)))), % 192.26/192.40 inference(rename_variables,[],[3732])). % 192.26/192.40 cnf(14621,plain, % 192.26/192.40 (~P1(f295(f295(f297(x146211),x146212),f295(f276(x146213,x146211,x146214),f176(f911(x146213,a897)))))), % 192.26/192.40 inference(rename_variables,[],[11471])). % 192.26/192.40 cnf(14633,plain, % 192.26/192.40 (P1(f295(f295(f208(a1),f295(f295(f23(a1),x146331),f81(a1))),x146331))), % 192.26/192.40 inference(rename_variables,[],[11027])). % 192.26/192.40 cnf(14647,plain, % 192.26/192.40 (P1(f295(f295(f207(a902),x146471),f295(f295(f84(a902),x146471),x146471)))), % 192.26/192.40 inference(rename_variables,[],[3732])). % 192.26/192.40 cnf(14689,plain, % 192.26/192.40 ($false), % 192.26/192.40 inference(scs_inference,[],[3501,3899,3502,4194,4226,4040,3476,4720,4683,3474,13977,14072,14263,4692,4685,4089,4723,14400,3566,3910,4058,13903,14293,14301,14385,3545,3408,13898,13953,14028,14101,14104,14281,14454,14558,4707,14010,14082,14153,14222,14356,14497,4144,14017,14339,14359,14420,14551,3575,3932,4624,14276,4643,13843,13895,14044,14060,14112,14390,4652,13886,14445,4680,13840,3455,3554,4220,3475,3914,13928,3494,14089,14194,3906,13873,3761,13925,13950,14287,3907,3732,14329,14332,14367,14614,14647,3731,14005,14098,3908,14489,3714,3826,4724,4725,14233,4727,4691,14252,4704,13980,14107,14227,14243,14541,4716,4721,13983,14148,14215,14528,4718,13846,4719,14055,14535,3675,11833,13992,10554,14484,10543,10837,11505,10606,13018,12156,13304,11634,13585,10797,13505,11387,10871,12202,13507,10859,13072,11364,12790,11214,11478,13519,11178,11027,13913,14023,14178,14382,14633,4431,3829,11164,11209,11632,11497,11256,13910,13964,13995,14164,14451,14523,11211,10663,11442,11524,11273,13316,13319,13601,10972,13583,11983,12497,12486,11466,11511,12590,10515,13074,12096,13958,14002,14173,14290,14304,14313,14590,11430,12451,11224,13918,14230,14236,14342,14438,14448,11227,14208,14284,11471,13974,14621,11548,14140,10957,13879,14119,11069,12350,13870,12841,11654,12761,12899,13825,11503,13971,11507,14157,13429,3148,11893,3533,14075,4004,9,5228,5485,7309,9102,6532,5020,7934,5479,9770,6443,9811,2,5156,9297,8402,6390,5539,7471,8784,5739,6297,7522,5105,6522,8115,8603,5926,7984,4821,5682,7487,10448,8357,8857,9462,6641,7035,7058,9752,5202,5943,5907,5406,7057,9106,9722,6450,8690,8913,9683,5398,6607,9077,9471,8626,5509,5965,5975,7524,5769,8229,10101,4815,5848,6268,9865,7497,9244,10137,8683,6882,8665,9425,5987,6250,8681,9260,9451,4950,5353,5660,5708,4873,5588,5951,6186,8814,5297,5420,4760,5533,9085,7571,5633,7224,8202,8917,5852,10115,9296,5910,6403,6575,6735,9588,7498,4734,5521,5592,5632,6347,8794,5924,8963,8009,8564,9115,10433,6058,8757,6267,5415,6085,5585,5773,5916,8114,9804,8,8749,5043,7313,7622,5855,6924,8710,9268,5501,6585,8755,6131,6523,8291,5920,8200,6476,6922,6432,8036,8533,8688,9407,9491,5346,6107,6300,6415,9617,6533,7402,9939,9805,9675,5158,6424,9816,6228,6165,7023,7648,5489,9497,10100,5816,6079,7797,5384,6229,8554,9812,6337,8217,8625,9658,6889,8774,5727,7608,7651,8069,8930,9751,5861,6970,9114,5922,5345,5368,5572,7338,7036,7253,5869,9364,8528,10058,5929,8134,6525,5220,5971,6899,8569,8616,6344,6919,7137,7922,5862,6576,9202,5986,7924,6251,5785,6025,7845,9929,10142,6881,10116,6246,5507,7545,5157,5912,6530,9005,5618,6095,6697,8975,9619,6488,7101,9866,6540,6574,8783,10378,5396,5237,6083,6812,5134,5412,6955,6046,8550,9018,8931,6277,5354,7167,8865,5286,8590,6252,8524,9232,7473,6944,6276,5534,5709,4777,6526,10348,7692,8844,4816,6928,5070,5712,5394,6394,9231,5382,5416,5757,7342,8738,6630,9261,5238,8429,8689,7034,6067,9585,9230,5423,5552,5574,6134,6648,8764,7106,8977,9618,5932,4874,5393,6407,6421,6517,6690,6907,5949,7583,8624,5648,8098,8761,9267,5918,5584,6084,6474,7974,8184,8382,9750,7872,5520,8978,9775,7527,5515,5783,6172,9406,5287,7598,5069,9420,4852]), % 192.26/192.40 ['proof']). % 192.26/192.40 % SZS output end Proof % 192.26/192.40 % Total time :172.220000s %------------------------------------------------------------------------------